SP015 Past Years PSPM Chapter 1 -5 Ver.2020

PSPM SP015


PSPM CHAPTER 1: PHYSICAL QUANTITIES AND MEASUREMENT
___________________________________________________________________________


UPS 2010/2011 SF015 No. 1(a)

1. Copy and complete TABLE 1.1 with correct answers.

TABLE 1.1


Quantity SI Unit

Length


Temperature


Velocity

Force

[4 m]


UPS 2006/2007 SF015 No. 1(a)

2. The orbital radius, r of a satellite revolving around the earth is given by

2
 T

r 3  GM  

 2  

-2
-11
2
where G = 6.67  10 N m kg , T is the period and M is the mass of the earth.
Determine the homogeneity of this equation. [5 m]


UPS 2009/2010 SF015 No. 1(b)

3. A triangle has sides a, b, and c. A circle with radius r can be drawn inside the triangle.

(a) If r is given by

s (  a)( s  b)( s  c) (a  b  ) c
r  where s 
s 2

Determine the homogeneity of the expression r. [5 m]


1
(b) If r is multiplied by , will its homogeneity change? Explain your answer. [2 m]
2



1

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2006/2007 SF015 No. 1(b)

4.

A

30

B

FIGURE 1.1

   
Given two vectors A and B as shown in FIGURE 1.1. If the magnitude of A and B
 
is 20 N and 10 N respectively, write the resultant vector of A and B in terms of unit
vector. [4 m]


UPS 2007/2008 SF015 No. 1(b)

5.


A
60


O B


  FIGURE 1.2
Vector A and B are placed at point O as shown in FIGURE 1.2. The magnitude of
both vectors are A = 4.2 N and B = 2.0 m.
(a) Calculate the dot (scalar) product of the two vectors. [3 m]
(b) At what angle between the two vectors will the dot product be a maximum?
[1 m]


UPS 2010/2011 SF015 No. 1(b)

6. Given two vectors: 
ˆ
P  2 ( i  5 ˆ ) j m

ˆ
Q  (i  3 ˆ ) j m
 
Calculate the magnitude of resultant vector of P and Q . [4 m]


UPS 2009/2010 SF015 No. 1(a)

-1
7. The speed of a car is 5 km h . Convert this speed to SI units. [3 m]


2

PSPM SP015



PSPM CHAPTER 2: KINEMATICS OF LINEAR MOTION
___________________________________________________________________________


Linear Motion

PSPM 2014/2015 SF016/2 No. 2(a)

1. Distinguish between distance and displacement. [2 m]


UPS 2010/2011 SF017 No. 2(a)(ii)

2. A honey bee travels 2 km looking for nectar and return to its hive. Is the displacement
the same as the distance traveled? Explain your answer. [3 m]


UPS 2013/2014 SF017 No. 1(a)(i)

3. Define speed and velocity. [2 m]


UPS 2012/2013 SF016 No. 1

4. (a) If the velocity of an object is constant, can its speed varies? Explain your answer.
[2 m]
(b) Does the speedometer of a car measure speed or velocity? Justify your answer
[2 m]

PSPM 2017/2018 SF016/2 No. 2(a)

5. Define
(a) average velocity. [1 m]
(b) instantaneous velocity. [1 m]


UPS 2014/2015 SF016 No. 1(a)(i)

6. Define instantaneous acceleration. [1 m]


UPS 2015/2016 SF016 No. 1(a)(i)

7. If the object has zero acceleration, what happen to its velocity? Explain your answer.
[2 m]

PSPM JAN 2000/2001 SF015/2 No. 10(a)

8. Can a body at rest still experience acceleration? Explain and give example. [2 m]



3

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2007/2008 SF017 No. 2(a)(i)

9. Is it possible that an object moving at a non-zero velocity has a zero acceleration?
Explain. [2 m]


PSPM JAN 2000/2001 SF015/2 No. 10(d)

10. The motion of a particle along x-direction to the function time t is given by equation
2
x = 3t
(a) Sketch a graph of x versus t for the above equation. [2 m]
(b) Calculate the instantaneous velocity at t = 3.0 s [2 m]
(c) Calculate its acceleration. [1 m]


PSPM JUN 2000/2002 SF015/2 No. 2

11. X Y
0.6 m



FIGURE 2.1

-1
An object moves from X to Y at a constant speed of 4.0 m s in a semi-circular path of
radius 0.6 m as shown in FIGURE 2.1, calculate
(a) the time taken. [2 m]
(b) the average velocity. [2 m]


PSPM 2002/2003 SF017/2 No. 10(b)

12. a (m s )
-2


2


0 t (s)
2 4 6 8 10

–2

FIGURE 2.2

FIGURE 2.2 shows acceleration versus time graph for the motion of a body. The body
-1
has initial velocity u = –6 m s at time t = 0 s.
(a) Calculate the time when velocity equals zero. [3 m]
(b) Sketch velocity versus time graph for the motion of the body. [2 m]



4

PSPM SP015



UPS 2006/2007 SF017 No. 2(a)

13. distance (m)

20




0 2 4 time (s)

FIGURE 2.3

The distance-time graph in FIGURE 2.3 represents the motion of a car in 4 seconds,
(a) describe its motion. [2 m]
(b) sketch its velocity-time graph. [3 m]
(c) determine its total distance travelled. [1 m]


UPS 2008/2009 SF017 No. 2

14. s (m)




Zone A Zone B Zone C

t (s)
FIGURE 2.4

FIGURE 3 shows a displacement-time graph of a car moving along a straight road.

(a) Copy and complete TABLE 2.1 by stating any change (increase / decrease/
constant / zero / no change) in the distance, speed, and acceleration of the car for
each zone.
TABLE 2.1

Zone Distance Speed Acceleration

A

B
C

[9 m]


(b) Which zone will the car instantaneous acceleration equal to its average
acceleration? [1 m]



5

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2008/2009 SF017/2 No. 10(a)

15. x (m)
5
4

3
2
1

0 1 2 3 4 5 6 t (s)
–1

–2
–3
–4

FIGURE 2.5

FIGURE 2.5 shows a graph of displacement x against time t of an object moving along
x-axis. Calculate
(a) average velocity for the time interval, 1 s to 4 s. [2 m]

(b) average speed for the time interval, 1 s to 4 s. [1 m]
(c) instantaneous velocity at t = 2.5 s. [2 m]

(d) instantaneous acceleration at t = 5.5 s. [2 m]


UPS 2009/2010 SF017 No. 2(a)

16. v (m s )
-1

40 C D


20 B

E
A 0 1 2 3 4 5 6 t (s)

FIGURE 2.6


The graph in FIGURE 2.6 shows the motion of a body.

(a) Which part of the graph shows the body is moving with maximum speed? [1 m]

(b) Calculate the maximum acceleration of the body. [2 m]

(c) Calculate the average velocity of the body for the first 3 seconds. [2 m]



6

PSPM SP015



PSPM 2009/2010 SF017/2 No. 1

17. A particle moving with uniform acceleration a has initial velocity u. With the aid of a
velocity-time graph, show that the displacement s after time t is given by

2
s  ut  1 at [4 m]
2


PSPM 2010/2011 SF017/2 No. 10

-1
18. A drunken motorist who is moving at a constant velocity of 90 km h passes a
stationary police patrol car. The patrol car immediately gives chase at a constant
acceleration and catches up with the motorist after a distance of 10 km.

(a) Calculate the time taken by the patrol car to catch up with the motorist. [2 m]

(b) Calculate the acceleration of the patrol car. [3 m]

(c) Calculate the velocity of the patrol car when it catches up with the motorist. [3 m]

(d) On the same axes, sketch and label graphs of displacement versus time for both
vehicles. [5 m]

(e) Given the power of police car is 180 kW, calculate the force of the engine of the
car at the instant it overtakes the motorist. [2 m]


UPS 2011/2012 SF016 No. 1(a)(ii)

-2
19. An object starts from rest, accelerates at 1.2 m s for 3.0 s and then moves at a constant
velocity for 6.0 s. Sketch the velocity-time graph and determine the final velocity.
[3 m]


PSPM 2011/2012 SF016/2 No. 2(a)

20. A plane travels at three times the speed of sound. If the speed of sound in air is
-1
343 m s , how far it travels in 10 minutes? [2 m]


UPS 2012/2013 SF016 No. 1 Edited

21. A train moves from rest and stops at a station in 20 minutes. For the first 5 minutes, the
-2
train moves with constant acceleration of 0.08 m s . Its speed remains constant until a
braking force is exerted to stop it. The time of braking is 2 minutes.

(a) Sketch a graph of velocity against time for the whole journey. [3 m]

(b) Calculate the maximum speed of the train. [3 m]




7

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2012/2013 SF016/2 No. 2(a)

-1
22. A train initially at rest, accelerates uniformly until its speed reaches 8 m s in 25 s. For
the next 200 s, the train continues its journey with constant speed, before it slows down
uniformly and comes to a complete stop in 20 s.

(a) Sketch a labeled graph of speed versus time for the whole journey. [2 m]

(b) Calculate the accelerations of the train for the three parts of the journey. [4 m]

(c) Determine the total distance travelled by the train. [2 m]




PSPM 2013/2014 SF016/2 No. 2(a)

23. v (m s )
-1

15





8 45 t (s)
0 24
FIGURE 2.7


FIGURE 2.7 shows a velocity-time graph of a motion along a straight line.

(a) Calculate the average velocity and average acceleration of the entire motion.
[3 m]

(b) Sketch a labelled displacement-time graph of the motion. [4 m]




UPS 2015/2016 SF016 No. 1(a)(i)

24. A car is initially at rest at t = 0 s. It then accelerates through three gear changes with the
following velocities:

-1
-1
-1
11.1 m s at t = 5 s, 16.7 m s at t = 10 s and 20.5 m s at t = 15 s.

Sketch the acceleration-time graph of the car. [2 m]





8

PSPM SP015



PSPM 2015/2016 SF016/2 No. 2(b)

25. -1
v (m s )
12


40 43 55
0 10 22 P t (s)
–8

FIGURE 2.8

FIGURE 2.8 shows the velocity-time graph of a toy train moving on a straight track in
55 s.

(a) Determine the time and acceleration at point P when the velocity is zero. [4 m]

(b) Is the total distance travelled by the train less than, equal or greater than its total
displacement? Justify your answer using calculation.
[3 m]




PSPM 2016/2017 SF016/2 No. 2(b)

26. y (m)
B
8
6
4
2 D
0 t (s)
–2 A

–4 C
–6
–8 1 2 3 4 5 6 7 8 9 10

FIGURE 2.9

FIGURE 2.9 shows a displacement-time graph of a particle.

(a) Determine the total distance travelled by the particle. [2 m]

(b) Which segment of the journey does the particle move the slowest? [1 m]

(c) How many times does the particle return to its starting point? [1 m]




9

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2017/2018 SF016/2 No. 2(b)

27. v x ( m s )
-1

50

40

30

20
10
t ( s )
0 10 20 30 40 50

FIGURE 2.10

FIGURE 2.10 represents a part of the performance data of a car.

(a) Calculate the total distance travelled from the graph. [3 m]
(b) Draw a graph of its acceleration against time between t = 0 and t = 50 s. Show
your calculation. [4 m]


Uniformly Accelerated Motion

PSPM JAN 2000/2001 SF015/2 No. 2

-1
28. (a) A red car travelling at a speed of 40 km h to north, then turns to west without
changing its speed. Does the car experience acceleration? [1 m]

-1
(b) The car continues to travel at a speed of 72 km h when it reaches the highway.
Suddenly the driver steps on the brake when he saw a fallen tree on the road at
-2
60.0 m in front of him. The car experiences a deceleration of 5 m s . Will the car
stop before it hits the tree? [3 m]


UPS 2005/2006 SF017 No. 2(b)

-1
-2
29. A bus moving with an initial speed of 20 m s decelerates at a constant rate of 3 m s .
Calculate the distance travelled by the bus before it stops. [2 m]


UPS 2006/2007 SF017 No. 2(b)

30. An airplane taxiing at constant acceleration for a distance of 280 m. If it starts from rest
and becomes airborne after 8.00 s, calculate its speed during take-off. [4 m]



10

PSPM SP015



UPS 2007/2008 SF017 No. 2(a)(ii)

-2
31. A car is capable of accelerating at 0.60 m s . Calculate the time needed for this car to
-1
-1
go from speed of 5.5 m s to a speed of 8.0 m s . [3 m]



UPS 2013/2014 SF017 No. 1(a)(ii)

-1
32. A world-class runner can reach a top-speed of 11 m s in the first 15 m of a race.
Calculate the average acceleration of the runner. [3 m]



UPS 2014/2015 SF016 No. 1(a)(ii)

-1
33. The speed of a car when passing a point P is 30 m s and changes uniformly over a
-1
distance of 323 m to 60 m s . Calculate the speed of the car 3 s after passing P. [4 m]



PSPM 2016/2017 SF016/2 No. 2(c)

-1
34. A driver travelling at 100 km h on a straight road suddenly sees a cow 32 m ahead and
-2
immediately applies the brake. His braking deceleration is 6 m s . Calculate the

(a) speed when the car hits the cow. [3 m]

(b) minimum time that he should apply the brake so that he does not hit the cow.
[1 m]



Free Fall Motion ~ Projectile Motion  = 90


PSPM 2016/2017 SF016/2 No. 2(a)

35. Define free falling body. [1 m]



PSPM JAN 1999/2000 SF015/2 No. 2

36. A stone is thrown vertically upward from the roof of a building. Sketch separate graphs
of the ball in the following cases by neglecting air friction.

(a) Displacement versus time. [1 m]

(b) Velocity versus time. [1 m]
(c) Acceleration versus time. [1 m]




11

PHYSICS PSPM SEM 1 1999 - 2017


PSPM JUN 2000/2002 SF015/2 No. 11(a)

37. (a) An advertisement board is hung at the height of 19.6 m on an overhead bridge
across the road. At 30 m from the overhead bridge, a driver of a car traveling at a
-1
constant velocity of 20 m s saw the advertisement board falls. Calculate the time
taken for the advertisement board to fall on the road. [2 m]

(b) By assuming the length of the car is 3.5 m and neglecting its height, show whether
the advertisement board hits the car or not, if

-2
(i) the driver decides to brake with a deceleration of 4.2 m s . [3 m]
-2
(ii) the driver reacts by accelerating his car with an acceleration of 1.2 m s .
[3 m]


PSPM 2002/2003 SF017/2 No. 1

38. A marble is tossed vertically upward to the air from the surface of ground with an initial
-1
velocity of 15 m s . Calculate

(a) the maximum height achieved by the marble. [2 m]

(b) the time taken by the marble to reach the maximum height. [3 m]



UPS 2005/2006 SF017 No. 2(c)

-1
39. A stone is thrown upward from the roof of a building with velocity 15 m s at an angle
of 30 to the horizontal. The height of the building is 40 m. Calculate

(a) the maximum height of the stone from the ground. [3 m]
(b) the speed of the stone just before it strikes the ground. [3 m]



PSPM 2006/2007 SF017/2 No. 1

40. A stone is dropped into a well of 11 m deep. How long after that, the sound of the
-1
splash can be heard? (Speed of sound = 343 m s ) [4 m]



UPS 2007/2008 SF017 No. 2(b)

-1
41. A ball is thrown upward from the ground with an initial speed of 25 m s . At the same
instant, another ball is dropped from a 15 m building. When will the two balls be at the
same height from the ground?
[5 m]




12

PSPM SP015



PSPM 2008/2009 SF017/2 No. 10(b)

-1
42. A stone is thrown vertically upwards with initial velocity 24 m s . Calculate the

(a) displacement of the stone after 4.0 s. [3 m]
(b) velocity of the stone at 10 m above the point of launch. [3 m]

(c) time to reach maximum height. [2 m]



PSPM 2011/2012 SF016/2 No. 2(b)

43. A ball is thrown vertically upwards. It reaches a maximum height and returns to its
initial position.

(a) Is the acceleration of the ball zero at the maximum height? State the reason for
your answer. [2 m]

(b) Sketch TWO graphs: displacement against time and velocity against time for the
whole journey of the ball. [4 m]



PSPM 2012/2013 SF016/2 No. 2(b)

-1
44. An object is thrown vertically downward at 5 m s from a height of 30 m. Calculate

(a) the speed of the object just before it hits the ground. [2 m]

(b) the time taken by the object to reach the ground. [2 m]



PSPM 2013/2014 SF016/2 No. 2(b)

45.
t




800 m



FIGURE 2.11

-1
A bullet is fired vertically upwards with an initial speed of 600 m s . Calculate the time
interval, t for the bullet to be 800 m above ground as shown in FIGURE 2.11. [3 m]




13

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2014/2015 SF016 No. 1(a)(ii)

46. A ping pong ball is thrown vertically upward and returns to its starting point after 4 s.
Calculate the

(a) initial speed of the ball. [3 m]
(b) maximum height of the ball. [2 m]



UPS 2015/2016 SF016 No. 1(a)(i)

47. A firework is shot straight up and burst at a maximum height of 100 m. Calculate the

(a) initial speed of the firework. [3 m]

(b) time to reach the maximum height. [3 m]




Initial Horizontal Motion ~ Projectile Motion  = 0

PSPM JAN 1999/2000 SF015/2 No. 10(b)

48. A stone is thrown horizontally from the top of a building at the height of 78.4 m with a
-1
speed of 5 m s . What is the distance between the stone and the building when the stone
reaches the ground? Determine the velocity of the stone the moment it hits the ground
and the time taken. [7 m]



UPS 2001/2002 SF015 No. 4(b)

49. -1
v o = 150 m s

2000 m



FIGURE 2.12

-1
FIGURE 2.12 shows a fighter jet that flies horizontally at constant speed 150 m s .
Then it drops a bomb at a height of 2000 m from the ground. Determine

(a) the time for the bomb to reach the ground. [5 m]

(b) the horizontal distance from where the bomb is dropped until where it hits the
ground. [3 m]



14

PSPM SP015



PSPM 2001/2002 SF015/2 No. 1

-1
50. A metal ball with a speed of 2.0 m s slide horizontally from an edge of a table. If the
height of table is 1.1 m from the floor, calculate

(a) the time taken for the ball to reach the floor. [2 m]
(b) the distance of the ball from the table. [2 m]



PSPM 2004/2005 SF017/2 No. 1

51.
A B


h




FIGURE 2.13

FIGURE 2.13 show a stationary object on a smooth table at height h above the floor.
The object moves horizontally a distance of 1.6 m from position A to B with uniform
-2
acceleration, a = 1.2 m s . Then the object is projected from B and fall onto the floor in
0.5 s. Calculate

(a) the velocity of the object at B. [2 m]

(b) the value of h. [2 m]



UPS 2010/2011 SF017 No. 2(b)

52.





100 cm


FIGURE 2.14

Water lows out horizontally at the end of a pipe at a height of 52 cm from the floor. If
the horizontal distance before it hits the floor is 100 cm as shown in FIGURE 2.14,
calculate the velocity of the water at the instant it leaves the pipe. [5 m]



15

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2011/2012 SF016 No. 1(b)

53. An apple is thrown horizontally from the edge of a table with an initial velocity of
-1
2.5 m s . If the height of the table is 1.5 m, calculate

(a) the time taken for the apple to reach the floor. [3 m]

(b) the horizontal displacement of the apple. [2 m]





PSPM 2012/2013 SF016/2 No. 2(c)

-1
54. A ball is thrown horizontally at 10 m s from a height 15 m above the ground.
Calculate the horizontal range covered by the ball.
[3 m]





UPS 2013/2014 SF017 No. 1(b)

55.
30 m
P 1.9 cm
Q





FIGURE 2.15

A gun is aimed and fired horizontally at a target P which is 30 m away. The bullet
accidently hits point Q which is 1.9 cm below the target as shown in FIGURE 2.15.
Calculate the

(a) time for the bullet to hit point Q. [3 m]

(b) speed of the bullet as it emerges from the gun. [2 m]










16

PSPM SP015



PSPM 2014/2015 SF016/2 No. 2(b)

56. -1
40 m s




70 m







FIGURE 2.16

-1
FIGURE 2.16 shows a stone is thrown horizontally with initial velocity 40 m s from
the top of 70 m high building.

(a) Sketch the path traversed by the stone to the ground and indicate the velocity
components and resultant velocity of the stone 15 m from the ground. [3 m]

(b) Calculate the resultant velocity of the stone 15 m from the ground. [3 m]

(c) Sketch a graph of vertical acceleration versus time (a y vs t) for the falling stone
and label the value of acceleration. [2 m]

(d) Calculate the time of flight. [3 m]

(e) Calculate the range. [2 m]





Projectile Motion 0 < < 90

PSPM JAN 1999/2000 SF015/2 No. 10(a)

57. A ball is kicked with initial velocity u and makes an angle  with the horizontal line.
Determine the maximum height H that can be achieved by the ball and the time taken to
reach the maximum height in terms of u, , and g.
[3 m]








17

PHYSICS PSPM SEM 1 1999 - 2017


PSPM JUN 1999/2000 SF015/2 No. 10(b)

58.


37
2.0 m

15.0 m

FIGURE 2.17

-1
An arrow which is 2.0 m above the floor is released with initial velocity of 30.0 m s at
an angle of 37 to the horizontal, towards a wall 15.0 m away as shown in
FIGURE 2.17.

(a) At what height will it hit the wall from the surface of the floor? [5 m]
(b) State whether the direction of the arrow is upward or downward. Explain. [2 m]
(c) If the mass of the arrow is 100 g, determine the potential energy when it hits the
wall. [2 m]



PSPM JUN 2000/2002 SF015/2 No. 11(b)

59. An audience at 15 m away from a singer on stage is not satisfied with the performance
of the singer. He threw his packet drink and it hit the singer within 0.80 s after it is
thrown. If the angle is 20 from horizontal, calculate

(a) the magnitude of initial velocity of the packet drink. [2 m]
(b) the magnitude of final velocity when it hits the singer. [3 m]
(c) the height of the stage. [3 m]



PSPM 2007/2008 SF017/2 No. 1

-1
60. A bullet is fired from a rifle with muzzle velocity 100 m s at 15 above the horizontal.
Calculate the horizontal range of the bullet. [4 m]



PSPM 2009/2010 SF017/2 No. 10(a)

61. A long jump athlete take-off at 25 with the horizontal and achieves a jumping distance
of 9.12 m.

(a) Calculate the initial take-off speed. [2 m]
(b) Calculate the maximum height of the jump. [2 m]
(c) Suggest TWO ways to increase the jumping distance. [2 m]



18

PSPM SP015



PSPM 2011/2012 SF016/2 No. 2(c)

62.

20 m s -1

40
P



60 m



FIGURE 2.18

FIGURE 2.18 shows a ball being thrown from the top of a building towards a wall
-1
60 m away. The initial velocity of the ball is 20.0 m s at 40 to the horizontal.

(a) How much time does it take to hit the wall? [2 m]

(b) What is the distance between P and the position the ball strike the wall? [2 m]

(c) What is the speed of the ball when it strikes the wall? [3 m]




PSPM 2013/2014 SF016/2 No. 2(c)

63. (a) Why is the displacement and velocity in a projectile motion can be analysed
separately in the x and y-directions? [1 m]


-1
(b) A projetile motion is launched with a velocity of 45 m s at an angle of 60 from
the horizontal. Determine the time when the velocity makes an angle 30 with the
horizontal for the first time. [4 m]




PSPM 2015/2016 SF016/2 No. 2(c)

-1
64. A javelin is thrown with a speed of 55 m s at an angle of 42 with the horizontal.
Calculate the velocity of the javelin after 5 s. [6 m]







19

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2016/2017 SF016/2 No. 2(d)

65. An archer standing on a cliff 48 m high shoots an arrow at an angle of 30 above the
-1
horizontal with a speed of 80 m s . Calculate the
(a) duration the arrow is in the air. [4 m]
(b) horizontal range of the arrow. [2 m]




PSPM 2017/2018 SF016/2 No. 2(c)

-1
66. A ball on the field was kicked with an initial velocity of 16.5 m s at angle of 35° above
the horizontal line. After passing the maximum height, the ball hit the goal post bar at a
height of 3 m from the ground.

(a) Determine the time taken by the ball to hit the bar. [4 m]
(b) Calculate the distance of the goal post from the footballer. [2 m]



ADVANCE

UPS 2001/2002 SF015 No. 4(a)

67. What is the difference between free fall motion and projectile motion? [2 m]



UPS 2009/2010 SF017 No. 2(b)

68. (a) State ONE similarity between free fall and projectile motion. [1 m]


(b)
P

u b = 10 m s -1
u
60
ball stone

FIGURE 2.19

-1
A ball is thrown upward with an initial velocity 10 m s , 60 with respect to the
horizontal. At the same instant, a stone at certain distance from the ball is thrown
vertically upward with an initial velocity u as shown in FIGURE 2.19. Calculate
u so that both objects will collide at P. [4 m]




20

PSPM SP015



PSPM CHAPTER 3: MOMENTUM AND IMPULSE
___________________________________________________________________________


Momentum and Impulse


UPS 2012/2013 SF016 No. 2(a)(i)

1. Define momentum and state its SI unit. [2 m]



UPS 2013/2014 SF016 No. 2(a)

2. (a) State whether linear momentum is a scalar or a vector quantity. [2 m]

(b) When a person is involved in a car accident, the injury in a head-on collision as
opposed to being hit from behind. Explain your answer. [2 m]



PSPM 2002/2003 SF017/2 No. 11(a)

3. (a) Define impulse. [1 m]

(b) Base on FIGURE 3.1, what represents impulse? [2 m]

F (N)




0 t (s)

FIGURE 3.1


PSPM JUN 1999/2000 SF015/2 No. 11(a)(ii)

4. Net force of 8.0 N acts on an 18 kg body for one minute. Determine the impulse due to
-1
the force. If the final velocity is 60.0 m s , calculate the initial velocity of the body.
[2 m]



PSPM 2010/2011 SF017/2 No. 1

5. A 50 g marble is released from a height of 1 m above the floor. Calculate its momentum
just before hitting the floor. [3 m]



21

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2011/2012 SF016 No. 2(a)

6. (a) State ONE difference and ONE similarity between momentum and impulse.
[2 m]

-1
(b) A rubber ball of mass 20 g moving at a velocity of 30 m s hits a wall and
bounces back with the same velocity. Calculate the impulse. [3 m]


PSPM 2011/2012 SF016/2 No. 3(c)

-1
7. An 8 g bullet moving at 50 m s strikes a wooden block. The bullet undergoes uniform
deceleration and stopped 12 cm inside the block. Calculate the

(a) time taken for the bullet to stop. [2 m]

(b) impulse on the block. [2 m]
(c) average force experienced by the block. [2 m]


UPS 2014/2015 SF016 No. 2(b)

-1
8. A 2 kg ball moving with an initial speed of 40 m s hits a wall and rebounds with the
same speed. Calculate the

(a) impulse of the ball. [3 m]

(b) magnitude of the force between the wall and the ball if the contact time is 0.8 s
[3 m]

UPS 2015/2016 SF016 No. 2(a)(ii)

-1
9. A 2 kg ball moving at speed 5 m s hits a wall. The force exerted by the wall on the ball
is 100 N. If the collision is perfectly elastic, calculate the contact time between the ball
and the wall. [3 m]



Principle of Conservation of Linear Momentum


PSPM 2016/2017 SF016/2 No. 3(a)

10. State the principle of conservation of momentum. [1 m]


PSPM 2007/2008 SF017/2 No. 10(a)

11. Explain the principle used to determine whether a collision between two bodies is
elastic or inelastic. [2 m]




22

PSPM SP015



UPS 2012/2013 SF016 No. 2(a)(ii)

12. State two conditions for elastic collision. [2 m]



UPS 2009/2010 SF017 No. 3(a)(ii)

13. State TWO characteristics of an inelastic collision. [2 m]



PSPM 2017/2018 SF016/2 No. 3(a)

14. State one (1) similarity and one (1) difference between elastic collision and inelastic
collision. [2 m]



PSPM 2015/2016 SF016/2 No. 3(a)

15. (a) How is force related to momentum? [1 m]

(b) State a physical quantity used to indicate the difference between elastic collision
and inelastic collision. [1 m]



PSPM JAN 1999/2000 SF015/2 No. 11(c)

-1
16. A ball A of mass 1 kg moving at a velocity of 4 m s collides with ball B of mass 2 kg
which is at rest. Calculate the velocity of both balls after collision if the collision is an
elastic collision. [5 m]



PSPM JUN 1999/2000 SF015/2 No. 11(b)

-1
17. Ball A of mass 400 g and velocity 4 m s collides with ball B of mass 600 g and
-1
velocity 10 m s . After collision, A and B will move together. Determine the final
velocity of both balls if A and B moves in the opposite direction initially. [2 m]



UPS 2001/2002 SF015 No. 3(b)

-1
18. A toy car A of mass 1 kg moving at constant velocity 2 m s collides with toy car B of
mass 2 kg at rest. Determine the velocity of each toy car after collision if the collision is
elastic. [7 m]




23

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2001/2002 SF015/2 No. 10(a)(ii)

19. A body of mass M moving at velocity u experiences perfect elastic collision with
another body of mass m which is at rest. After collision, M and m move with velocity v 1
and v 2 respectively. By using the principle of conservation of linear momentum and
principle of conservation of kinetic energy, prove that

v 2 = (u + v 1) [5 m]



PSPM 2001/2002 SF015/2 No. 10(b)

-1
20. A blue marble of mass 35 g moving to the right with velocity 8.0 m s collides with a
red marble of the same mass but moving at the opposite direction with velocity
-1
4.0 m s .
(a) Calculate the final velocity of each marble after collision. [6 m]
(b) Determine whether this collision is a perfect elastic collision or not. [2 m]



PSPM 2004/2005 SF017/2 No. 10(c)

-1
21. Object A of mass 8 kg moving at 4 m s collides with another object B of mass 6 kg
-1
moving at 5 m s in the opposite direction. After the collision, object A moves opposite
-1
to its initial direction at 0.1 m s .
(a) What is the velocity of B after the collision? [2 m]

(b) Show that the collision is inelastic. [2 m]



UPS 2005/2006 SF017 No. 3

22.
-1
20 m s



FIGURE 3.2

FIGURE 3.2 shows a ball of mass 0.20 kg moving with a horizontal velocity of
-1
20 m s and hits a wall. After 0.01 s, the ball rebounded with its initial velocity along
the same path.

(a) Calculate the impulse of the ball. [2 m]

(b) What is the average force exerted by the ball on the wall? [2 m]
(c) State whether the collision is elastic or inelastic. Explain your answer. [5 m]




24

PSPM SP015



PSPM 2005/2006 SF017/2 No. 10(a)

23. A body of mass m moves with velocity u collides and sticks to a stationary body Q of
mass 3m.

(a) State two physical characteristics of the collision. [1 m]


(b) Determine the total kinetic energy after collision in terms of m and u. [3 m]


(c)
F

t
before during after
collision collision collision

FIGURE 3.3

Copy FIGURE 3.3 and sketch on the same axes, the changes in the force F on
body Q with time t before, during, and after collision. [2 m]





PSPM 2007/2008 SF017/2 No. 10(b)

24. -1
2.0 m s


1.2 kg 0.5 kg



FIGURE 3.4

-1
A 1.2 kg object moving at initial velocity 2.0 m s collides elastically with a stationary
0.5 kg object as shown in FIGURE 3.4. Calculate

(a) the velocity of each object after the collision. [6 m]

(b) the impulsive force if the contact time is 0.3 s. [3 m]








25

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2011/2012 SF016 No. 2(b)

25.

wall 3.0 m s -1

B A


FIGURE 3.5

-1
FIGURE 3.5 shows trolley A of mass 2.5 kg moves at constant velocity 3.0 m s
collides with trolley B of mass 3.0 kg which is at rest. After the collision, trolley A
-1
moves in the opposite direction at constant velocity 2.0 m s while trolley B moves at
constant velocity and hits a wall. The wall exerts an impulse of 18.0 N s on trolley B.
Calculate

(a) the velocity of trolley B after collision with trolley A. [3 m]

(b) the velocity of trolley B after it hits the wall. [2 m]



UPS 2012/2013 SF016 No. 2(b)

-1
26. An object P of mass 8 kg moving at 4 m s collides with a second object Q of mass
-1
6 kg moving at 5 m s in the opposite direction. After collision, object P moves in
-1
opposite direction at 1 m s .

(a) Determine the velocity of object Q after the collision. [3 m]

(b) Show that the collision is inelastic. [3 m]



PSPM 2012/2013 SF016/2 No. 3(c)

-1
-1
27. Two identical balls with speeds 4 m s and 2 m s collide head-on and stick together.
Calculate their speed after the collision. [3 m]



UPS 2013/2014 SF016 No. 2(b)

-1
28. An object P moving with velocity 3 m s collides head-on with another object Q of
-1
mass 6 kg moving with velocity 5 m s in the opposite direction. If the collision is
-1
perfectly inelastic and the final velocity is 2.5 m s , calculate the

(a) mass of object P. [3 m]
(b) kinetic energy of the system after collision. [3 m]



26

PSPM SP015



UPS 2014/2015 SF016 No. 2(a)

29. A boy jumps off a stationary canoe onto a jetty. Explain why the canoe moves
backwards. [4 m]



PSPM 2014/2015 SF016/2 No. 3(b)

-1
30. A 6.25 kg trolley moving with velocity 5.5 m s hits a stationary 1.2 kg trolley. After
the collision the trolleys stick together and move with constant velocity. Calculate

(a) the velocity after collision. [2 m]
(b) the loss of kinetic energy. [2 m]



UPS 2015/2016 SF016 No. 2(b)

31. A block P of mass 6 kg collides head-on with another block Q of mass 10 kg moving at
-1
the same speed 5 m s . If the blocks sticks together and 187.5 J of energy is lost during
the collision, calculate the

(a) final kinetic energy of the system. [3 m]
(b) final speed of the block. [3 m]



PSPM JAN 2000/2001 SF015/2 No. 11(c)

-1
32. A red ball R of mass 0.1 kg moves with velocity 0.8 m s at an angle 45 to the x-axis
and collides with a blue ball B of mass 0.2 kg which is at rest as shown in
-1
FIGURE 3.6. After collision, ball R moves with a speed of 0.5 m s at an angle 20 to
the x-axis, while ball B moves at an angle 
to the x-axis.

R



45 x-axis
B

FIGURE 3.6

(a) Draw a diagram for the system after collision to show the direction of motion of
ball R and ball B. [1 m]
(b) Calculate the momentum before and after collision of each ball R and B. [6 m]

(c) Determine the magnitude and the direction of final velocity of ball B. [2 m]



27

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2007/2008 SF017 No. 3(b)

33. v 1



60

30
v 2

FIGURE 3.7

-1
A homemade rocket is moving at a speed of 45 m s . The rocket breaks into two pieces
of equal mass which fly off with velocities, v 1 and v 2, as shown in FIGURE 3.7.
Calculate the magnitude of v 1 and v 2.
(Neglect the effect of gravity.) [6 m]



UPS 2009/2010 SF017 No. 3(b)

34. y


u P
x
P C
u Q


Q

FIGURE 3.8

-1
Two objects, P of mass 7 kg and Q of mass 5 kg move with velocity u P = 6 m s and
-1
u Q = 8 m s on a smooth surface as shown in FIGURE 3.8. The objects collide and
combined at C. The combined object travels with velocity v.

(a) Determine the velocity v. [4 m]

(b) Show that the collision is inelastic. [3 m]











28

PSPM SP015



PSPM CHAPTER 4: FORCES
___________________________________________________________________________


Basic Forces and Free Body Diagram


UPS 2010/2011 SF017 No. 3(a)

1. State two differences between mass and weight of an object. [2 m]



UPS 2012/2013 SF016 No. 3(a)(i)

2. What is meant by static friction and kinetic friction? [2 m]



UPS 2011/2012 SF016 No. 3(a)

3.


F push A B



FIGURE 4.1

FIGURE 4.1 shows two boxes A and B being pushed over a rough surface. Sketch a
free body diagram which shows the forces acting on box A. [4 m]



UPS 2012/2013 SF016 No. 3(a)(ii)

4.




20

FIGURE 4.2

FIGURE 4.2 shows a block at rest on a rough inclined plane at an angle of 20 with the
horizontal. Sketch a free body diagram of the block. [2 m]





29

PHYSICS PSPM SEM 1 1999 - 2017


Newton’s First Law of Motion

UPS 2001/2002 SF015 No. 4(a)

5. State Newton’s First Law. [1 m]


UPS 2015/2016 SF016 No. 3(a)(i)

6. Define equilibrium of a particle. @ What is meant by the equilibrium of forces? [1 m]


UPS 2014/2015 SF016 No. 3

7. State TWO types of equilibrium. [2 m]


PSPM JAN 1999/2000 SF015/2 No. 1(b)

8.
beam

P

Q

R


FIGURE 4.3

FIGURE 4.3 illustrates three similar bodies P, Q, and R having mass m are hung from
a beam using a light non-elastic string. Determine the ratio of tension on each string
between P and Q to the tension of each string between P and the beam. [3 m]


PSPM JUN 1999/2000 SF015/2 No. 2

9. 3 N

O 12 N




8 N
FIGURE 4.4

A body at O is exerted by forces as shown in FIGURE 4.4. Determine the force that
needs to be exerted on the body so that it stays at rest. [3 m]



30

PSPM SP015



PSPM JAN 2000/2001 SF015/2 No. 1

10.
wall R

light string
60
block
pulley
light string
smooth table load

FIGURE 4.5

A 30 N block is placed on a surface of a smooth table as shown in FIGURE 4.5. A
30 N load is connected to one end of the block with a light string through a smooth
pulley. The other end of the block is tied with a string to a wall. Calculate the reaction
force R acting on the block. [3 m]



PSPM JUN 2000/2002 SF015/2 No. 1

11. 700 N
30

650 N

FIGURE 4.6

A plate is exerted by two forces as shown in FIGURE 4.6. Calculate the magnitude and
direction of the third force that needs to be exerted so that the plate is in equilibrium.
[4 m]


PSPM 2002/2003 SF017/2 No. 2

12. 5 N

3 N
45 O 30

60
F
4 N

FIGURE 4.7

FIGURE 4.7 shows a system of forces in the same plane on an equilibrium point O,
calculate the force F. [4 m]



31

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2003/2004 SF017/2 No. 3(b)

13.
30

P

Q

FIGURE 4.8

1.5 kg body P is placed on a rough horizontal surface. It is attached to body Q by a
massless string as shown in FIGURE 4.8. When the weight of Q is slowly increased to
5 N, P starts to slide. Calculate the coefficient of friction of the rough surface.
[3 m]





PSPM 2004/2005 SF017/2 No. 10(b)

14.



B C


A 30


FIGURE 4.9

FIGURE 4.9 shows three blocks, A, B and C connected by two massless strings
passing two smooth pulleys. Blocks A and B are on rough surfaces of coefficient of
friction 0.3. The mass of each block A and B is 20 kg. Block C falls at constant
velocity.

(a) Draw three separate free body diagrams which show all the forces that act block
A, B and C.
[3 m]

(b) What is the tension of the rope connecting block A and B? [2 m]

(c) What is the mass of block C? [4 m]







32

PSPM SP015



PSPM 2006/2007 SF017/2 No. 10(a)

15.



F
52


FIGURE 4.10

FIGURE 4.10 shows a 0.2 kg eraser being pressed against a whiteboard by a force F
inclined at 52 to the whiteboard. The coefficient of static friction, 
between the eraser
and the whiteboard is 0.3.

(a) Draw a free body diagram to show all the forces acting on the eraser. [4 m]
(b) Calculate the the force F needed just to keep the eraser from sliding down. [4 m]
(c) What will happen to the eraser if a stronger force F 1 is exerted at the same angle?
Give a reason for your answer. [2 m]


UPS 2007/2008 SF017 No. 3(a)(ii)

16.
20.0 kg

30.0 kg
table

FIGURE 4.11

A 20.0 kg box is placed on top of a 30.0 kg box as shown in FIGURE 4.11. Determine
the normal force that the table exerts on the 30.0 kg box. [3 m]


UPS 2008/2009 SF017 No. 3

17. (a) When an object is moving at a uniform velocity, does it need a force to maintain
its uniform state of motion? Justify your answer. [4 m]

(b)




FIGURE 4.12

A box of mass m is placed on an inclined plane as shown in FIGURE 4.12. Use a
free body diagram to explain why the box is at rest on the incline. [6 m]



33

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2008/2009 SF017/2 No. 2(b)

18. y F 3 = 6.0 N



F 1 = 2.0 N 40
x

30
F 2 = 5.0 N



FIGURE 4.13

A particle is being acted upon by three coplanar forces with magnitudes and directions
as indicated in FIGURE 4.13. Determine whether the particle is in equilibrium.
[2 m]





PSPM 2011/2012 SF016/2 No. 3(a)

19.


45


F


FIGURE 4.14

FIGURE 4.14 shows a 0.4 kg block being pushed against a rough vertical wall by a
force F at an angle 45 with respect to the horizontal. The block remains stationary.

(a) Sketch a free body diagram of all the forces acting on the block. [2 m]

(b) If the coefficient of static friction,  s = 0.20, what is the magnitude of F? [3 m]










34

PSPM SP015



PSPM 2013/2014 SF016/2 No. 3(b)

20.
65

P
O
Q


15 kg



FIGURE 4.15

FIGURE 4.15 shows a 15 kg load held in equilibrium by ropes, P and Q fastened to the
ceiling and the wall respectively.

(a) Sketch a free body diagram at point O. [3 m]

(b) Calculate the tension of ropes P and Q. [4 m]





UPS 2015/2016 SF016 No. 3(a)(ii)

21.

60

T 1

T 2



W


FIGURE 4.16

FIGURE 4.16 shows a 4 kg block hang by two light strings. The system is in
equilibrium. What is the tension in each string? [4 m]







35

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2016/2017 SF016/2 No. 3(c)

22.
P



Q



FIGURE 4.17

FIGURE 4.17 shows a stationary block P tied to a hanging block Q. The weight of
block P is 25 N and the coefficient of static friction between block P and the horizontal
surface is 0.4. Assume the pulley is smooth and the string is light.

(a) Sketch a free body diagram of block P. [2 m]

(b) Calculate the mass of block Q. [2 m]





Newton’s Second Law of Motion


PSPM JAN 1999/2000 SF015/2 No. 3(a)

23. State Newton’s Second Law. [1 m]



PSPM 2008/2009 SF017/2 No. 1(a)

24. What is meant by 1 N of force? [1 m]



UPS 2007/2008 SF017 No. 3(a)(i)

25. Give ONE example of an object moving in one direction while the net force acting on it
is in the opposite direction. [1 m]









36

PSPM SP015



PSPM JAN 1999/2000 SF015/2 No. 10(c)

26.





FIGURE 4.18

FIGURE 4.18 shows a wooden block at rest on a track inclined at an angle  with the
horizontal axis. Coefficient of static friction and coefficient of kinetic friction between
the block and the track are 0.4 and 0.3 respectively.
(a) Determine the maximum angle  max that causes the block to slide. [2 m]
(b) What is the acceleration of the block when it slides? [3 m]


UPS 2001/2002 SF015 No. 4(b)

27.
6.2 kg



8.5 kg

FIGURE 4.19

FIGURE 4.19 shows two blocks of mass 6.2 kg and 8.5 kg are connected with a string.
Assume that the string will not extend, calculate the tension of the string and the
acceleration of the system if the coefficient of kinetic friction bewteen the 6.2 kg block
and the table surface is 0.2. [5 m]


PSPM 2003/2004 SF017/2 No. 1

28. A block is launched on to a smooth inclined plane.

-1
v (m s )
2


t (s)
2
FIGURE 4.20

If the variation of the velocity v of the block with time is shown in FIGURE 4.20,
calculate
(a) the acceleration of the block. [1 m]
(b) the angle between the inclined plane and the horizontal. [2 m]



37

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2005/2006 SF017/2 No. 1

29.
F


FIGURE 4.21

A block of mass 2 kg is pushed along a horizontal surface with a force F = 3.2 N as
-2
shown in FIGURE 4.21. The block experiences an acceleration a = 0.3 m s . What is
the coefficient of friction between the block and the horizontal surface? [4 m]



PSPM 2009/2010 SF017/2 No. 10(b)

30.
m 1




m 2



FIGURE 4.22

FIGURE 4.22 shows a block of mass m 1 = 6.0 kg on a horizontal surface with
coefficient of kinetic friction,  k = 0.22 is connected by a string through a pulley to
another block of mass m 2 = 3.0 kg. The system is released from rest.

(a) Draw the forces acting on the blocks when they are in motion. [2 m]

(b) Calculate the acceleration of the blocks. [5 m]

(c) Calculate the tension in the string. [2 m]



UPS 2010/2011 SF017 No. 3(b)

31. A box of mass m is weighed on a spring scale attached to the ceiling of a lift. The lift
accelerates with constant acceleration, a.

(a) State the direction of lift motion when the spring scale reads a value that is greater
than the weight of the box. With the aid of a free body diagram, explain your
answer. [4 m]

(b) Calculate the apparent weight of the box of mass 0.5 kg if the lift moves
-2
downward with constant acceleration 2.0 m s . [4 m]


38

PSPM SP015



UPS 2011/2012 SF016 No. 3(b)(i)

-1
32. A car travelling at 30 m s comes to rest at a distance of 60 m. If the mass of the car is
2000 kg, calculate the constant force that causes the car to stop at that distance. [4 m]




UPS 2012/2013 SF016 No. 3(b)

33. A lift of mass 1200 kg is supported by a cable. Calculate the tension in the cable when
the lift is

-2
(a) accelerating uniformly upwards at 2.0 m s . [3 m]

-1
(b) moving downwards with a uniform velocity of 3.0 m s . [3 m]




PSPM 2012/2013 SF016/2 No. 3(b)

34.
F
60



2.0 kg


FIGURE 4.23


FIGURE 4.23 shows a 2.0 kg block is being pushed along a rough horizontal surface
by a force F = 30 N at an angle 60 from the normal.

(a) Sketch a free body diagram for the block. Use common symbol for each force.
[2 m]

-2
(b) If the block moves at constant acceleration 0.5 m s , calculate the coefficient of
friction. [6 m]











39

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2013/2014 SF016 No. 3(a)

35.




m 1


m 2


FIGURE 4.24

Two masses m 1 = 3 kg and m 2 = 10 kg are connected by a light string which passes over
a smooth pulley as shown in FIGURE 4.24. Calculate the

(a) acceleration of the system. [4 m]

(b) tension in the string. [1 m]





UPS 2013/2014 SF016 No. 3(b)

36.


F m 1 m 2 m 3



FIGURE 4.25

Three blocks are in contact with each other on a frictionless horizontal surface as shown
in FIGURE 4.25. A horizontal force F is applied to m 1. Given m 1 = 3.5 kg, m 2 = 4.0 kg,
m 3 = 5.0 kg and F = 30.0 N. Calculate the

(a) acceleration of the system. [3 m]

(b) magnitude of the contact force between blocks m 1 and m 2. [2 m]









40

PSPM SP015



UPS 2014/2015 SF016 No. 3(b)

37.


P Q

30 53

FIGURE 4.26


FIGURE 4.26 shows two blocks, P and Q on a frictionless plane connected by a cord
passing over a frictionless pulley. If the masses of P and Q are 100 kg and 50 kg
respectively.

(a) Sketch a free body diagram of block P. [3 m]

(b) Calculate the acceleration of the block. [5 m]





PSPM 2014/2015 SF016/2 No. 3(d)

38.
F

50





FIGURE 4.27

FIGURE 4.27 shows a 500 N force, F acts on a stationary 25 kg box lying on a rough
-1
surface. After 4 s, the speed of the box is 2 m s . Calculate

(a) the frictional force on the box. [3 m]

(b) the coefficient of kinetic friction between the box and the rough surface. [1 m]










41

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2015/2016 SF016 No. 3(b)(ii)

39.
F = 90 N


30



35


FIGURE 4.28

FIGURE 4.28 shows a 7 kg block pulled by a force of 90 N. If the coefficient of kinetic
friction of the plane is 0.4, what is the acceleration of the block? [4 m]





PSPM 2017/2018 SF016/2 No. 3(c)

40. 5.0 kg










9.0 kg



FIGURE 4.29

FIGURE 4.29 shows a 5.0 kg box placed on a frictionless horizontal table, is connected
to a 9.0 kg hanging box by a string that passes over a pulley.

(a) Draw free-body diagrams of both boxes. [2 m]

(b) Determine the magnitude of the acceleration of both boxes. [4 m]

(c) Determine the magnitude of the tension in the string. [1 m]




42

PSPM SP015



Newton’s Thrid Law of Motion

UPS 2015/2016 SF016 No. 3(b)(i)

41. State the Newton’s Third law of motion. [1 m]




UPS 2011/2012 SF016 No. 3(b)(i)

42. Based on Newton’s third law of motion, explain the pair of forces that acts when a
hockey stick hits a ball. [2 m]




UPS 2006/2007 SF017 No. 3

43.

P

30


v
Q





FIGURE 4.30

An object P of mass 4 kg is placed on an inclined plane as shown in FIGURE 4.30. It is
attached to an object Q of mass 2 kg by a string through a frictionless pulley.

(a) By using Newton’s Third Law, explain the existence of the normal force acting on
P. [2 m]

(b) When released from rest, a 9 N constant frictional force acts on P.

(i) Sketch and label two free body diagrams which show all the forces that act
on P and Q. [3 m]

(ii) Calculate the acceleration of P. [5 m]






43

PHYSICS PSPM SEM 1 1999 - 2017


PSPM CHAPTER 5: WORK, ENERGY AND POWER
___________________________________________________________________________

Work

UPS 2013/2014 SF016 No. 4(a)(i) Edited

1. Define work done and state its SI unit. [2 m]



PSPM 2005/2006 SF017/2 No. 10(b)

2.


30



FIGURE 5.1

A man pulls a 45 kg block at constant velocity on a rough surface as shown in
FIGURE 5.1. The angle between the rope and the horizontal is 30 and the coefficient
of kinetic friction between the block and the surface is 0.6.
(a) Sketch and label all the forces acting on the block. [2 m]
(b) Calculate the tension in the rope. [3 m]
(c) Calculate the work done on the block if the distance travelled is 3 m. [4 m]


UPS 2007/2008 SF017 No. 4(a)(i)

3. You lift a book with your hand in such a way that it moves up at constant speed. While
it is moving, the total work done on the book is zero. Explain. [2 m]


UPS 2014/2015 SF016 No. 4(a)(ii)

4. F (N)

31



0 s (m)
3 6
FIGURE 5.2

FIGURE 5.2 shows a graph of resultant force F against displacement s of a 8 kg
trolley. Determine the total work done on the trolley. [3 m]



44

PSPM SP015



Energy and Principle of Conservation of Energy

UPS 2015/2016 SF016 No. 4(a)

5. Define
(a) kinetic energy. [1 m]
(b) potential energy. [1 m]


UPS 2006/2007 SF017 No. 4(a)

6. State two factors that contribute to the potential energy of an object.
[2 m]

UPS 2013/2014 SF016 No. 4(b)(i)

7. Give ONE difference and ONE similarity between kinetic energy and potential energy.
[2 m]

UPS 2014/2015 SF016 No. 4(b)(i)

8. State the principle of conservation of energy. [2 m]


PSPM 2012/2013 SF016/2 No. 3(a)

9. State work-energy theorem. [1 m]


PSPM JUN 1999/2000 SF015/2 No. 3(b)

-1
10. A body of mass 650 g is placed on a vertical spring with constant force 150 N m until
the spring is compressed 22 cm. If the body is released, determine the maximum height
achieved from the position where it is released. [2 m]


PSPM JAN 2000/2001 SF015/2 No. 4

11.
5.0 m

12 m s -1 inclined plane

60 kg 45

FIGURE 5.3
-1
FIGURE 5.3 shows a block of mass 60 kg moving at velocity 12.0 m s through a
distance of 5.0 m along an inclined plane of 45 to the horizontal before it stops.
Calculate the energy loss due to friction. [4 m]



45

PHYSICS PSPM SEM 1 1999 - 2017


PSPM JUN 2000/2002 SF015/2 No. 4

12.



load


spring


FIGURE 5.4

A 20 kg load is connected through a smooth pulley to a spring with constant force,
-1
k = 350 N m as shown in FIGURE 5.4. Initially the load is held so that it is at rest and
the spring is not extended. When the load is released, determine the velocity when the
elongation is 0.5 m. [4 m]



PSPM JUN 2000/2002 SF015/2 No. 12(b), (c)

13.
L
s

 30

FIGURE 5.5

FIGURE 5.5 shows a lorry of mass 2000 kg slides down a slope of angle  and

distance L. After going down the slope, the lorry passes through a flat road and then
climbs a second slope of angle 30.
(a) By neglecting friction,

(i) show that the instantaneous velocity of the lorry when passing through the
flat road is given by

2
v  2 gL sin  v

o
(Assume that the initial velocity of the lorry is v o.) [3 m]

-1
(ii) calculate the distance s on the second slope if given  = 25, v o = 25 m s
and L = 15 m. [4 m]

(b) If after going down the first slope, the lorry driver steps on the brake and stops at a
distance of 12 m on the flat road, what is

(i) the work done by the brake? [4 m]
(ii) the average force exerted by the brake? [3 m]



46

PSPM SP015



UPS 2001/2002 SF015 No. 4(c)

14. A 5 kg mass at rest moves a distance of 2 m when a constant force of 10 N is applied in
the direction of displacement of mass. Calculate the final velocity of the mass using
work-energy theorem. [3 m]



PSPM 2001/2002 SF015/2 No. 2

15. Y


50 kg 300 cm
F
X
400 cm

FIGURE 5.6

FIGURE 5.6 shows a horizontal force, F pushing a safe of mass 50 kg on a smooth
inclined plane from position X to position Y. If F is 400 N, calculate
(a) the work done to move the safe (in joule). [2 m]
(b) the potential energy at position Y. [2 m]



UPS 2005/2006 SF017 No. 4

16. F


47


FIGURE 5.7

FIGURE 5.7 shows a block of mass 60 kg pulled by a constant force, F = 200 N on a
rough surface at an angle 47 to the horizontal. The frictional force between the block
and the surface is 70 N. If the block moves 50 m horizontally, determine the net work
done on the block. [5 m]




PSPM 2005/2006 SF017/2 No. 2

17. A 10.0 J of work is needed to stretch an elastic spring by 2.0 cm. Calculate the work
required to further extend the spring to 5.0 cm. [4 m]



47

PHYSICS PSPM SEM 1 1999 - 2017


UPS 2006/2007 SF017 No. 4(b)

18. A 60 g object is dropped from a height of 2.0 m. After striking the floor, the object
rebounds vertically upwards, losing 25% of its initial energy. During its first rebound,
calculate
(a) the initial velocity of the object. [5 m]
(b) the maximum height of the object. [3 m]

(Ignore air resistance)


UPS 2008/2009 SF017 No. 4

19.
Circular 20 mm
track 0.1 m






FIGURE 5.8

A 0.002 kg ball bearing is placed at one end of a spring and the spring is compressed by
20 mm as shown in FIGURE 5.8. A 0.4 N force will compress it 1.5 mm

(a) Calculate the energy stored in the spring. [3 m]
(b) Based on the work-energy theorem, why does the ball maintain a constant
horizontal velocity after being released? [4 m]
(c) If the ball then travels up a vertical frictionless circular track of radius 0.1 m,
calculate the speed of the ball at the highest point of the track. [3 m]


UPS 2009/2010 SF017 No. 4(b)

20.


 50


A


FIGURE 5.9

A pendulum with a string of length  = 2.2 m is released from point A as shown in as
shown in FIGURE 5.9. Determine the speed of the pendulum when it reaches the
lowest point. [4 m]



48

PSPM SP015



UPS 2010/2011 SF017 No. 4(b)

21. Force (N)

8

6


4

2


0 0.05 0.10 0.15 0.20 Compression (m)

FIGURE 5.10

FIGURE 5.10 shows the variation between the applied force and compression of a
spring. When the spring is compressed 0.20 m, calculate

(a) the work done on the spring. [3 m]

(b) the potential energy of the spring. [2 m]




UPS 2011/2012 SF016 No. 4(b)

22.

A

B
40 m

20 m


FIGURE 5.11


A sphere of mass 4 kg initially at rest slides along a smooth and curvy surface as shown
in FIGURE 5.11. Calculate

(a) the potential energy of the sphere at point A. [3 m]

(b) the speed of the sphere as it passes point B. [3 m]




49

PHYSICS PSPM SEM 1 1999 - 2017


PSPM 2011/2012 SF016/2 No. 3(b)

23.
P

53
75 cm
R



Q

FIGURE 5.12

FIGURE 5.12 shows a 0.8 kg pendulum bob being released from rest at P. Calculate
the

(a) work done by gravity on the bob at R. [2 m]

(b) speed of the bob at Q. [2 m]



UPS 2012/2013 SF016 No. 4(b)

24. The mass of a carbon atom is 20 g.

-1
(a) Calculate the kinetic energy of the model moving with a speed of 2 m s . [2 m]

(b) Two carbon atom models are joined by a spring. The energy of the spring is equal
to the kinetic energy in part (b)(i). If the spring is stretched 10 mm, calculate the
spring constant. [3 m]



PSPM 2012/2013 SF016/2 No. 3(a)

25. A 0.5 kg box is initially at rest on a smooth horizontal surface. It is acted upon by a
-1
horizontal force for a distance of 3 m. If the final speed of the box is 5 m s , calculate
the magnitude of the force. [3 m]



UPS 2013/2014 SF016 No. 4(b)(ii)

26. A 2 kg stone is dropped from the top of a 10 m high building. By using the principle of
conservation of energy, calculate the kinetic energy of the stone when it is at a point
4 m above the ground.
[4 m]



50