EXPERIMENT 2

DP014 Experiment 2: Plotting and Interpreting Linear Graph

PSPM 2012/2013

1. A student measured the period of oscillation, T of a simple pendulum for six
different length s, l and the results are shown in TABLE 1.

l (m) TABLE 1 T2 (s2)
0.25 T (s)
0.50 1.15
0.75 1.43
1.00 1.84
1.25 2.02
1.50 2.26
2.45

(a) Copy and complete TABLE 1. [2 marks]
(b) Plot a graph of T2 against l. [6 marks]
[4 marks]
(c) Determine the gradient of the graph.
[3 marks]
(d) Given that, T  2 l
g

Determine g from the gradient of the graph.

[ANS : DIY, 3.76 s2 m-1, 10.5 m s-2]

DP014 Experiment 2: Plotting and Interpreting Linear Graph

PSPM 2008/2009
2.

u


R

FIGURE 1

FIGURE 1 shows a path of a cannon ball shot with an initial velocity, u. A

number of shots are made at different angle of inclination,. The values of

range, R are recorded in TABLE 2.

TABLE 2 sin 2θ
θ (0) R (m)

5 230

8 330

10 450

15 580

20 800

25 970

30 1070

(a) Copy and complete TABLE 2. [2 m]

(b) Plot a graph of R against sin 2. [6 m]

(c) Determine the gradient of the graph. [4 m]

(d) Given that R  u2 sin 2 , calculate the initial velocity, u from the graph.

g

[3 m]

DP014 Experiment 2: Plotting and Interpreting Linear Graph

PSPM 2009/2010
3.

H

y

FIGURE 2

In an experiment, a stone is released repeatedly from the top of a tall building
of height H as shown in FIGURE 2 . The time t taken for the stone to reach
different height y above the ground is shown in TABLE 3.

The relationship between H and y is given by equation,

H  y  1 gt2
2

where g is the -acceleration due to gravity.

y (m) TABLE 3 t2 (s2)
5 t (s)
10 3.49
15 3.35
20 3.19
25 3.02
30 2.86
35 2.67
2.47

(a) Copy and complete TABLE 3. [2 m]
(b) Plot a graph of y against t2. [6 m]
(c) Determine the gradient of the graph. [3 m]
(d) Using the gradient from the graph, calculate g. [2 m]
(e) Determine H from the graph. [2 m]

DP014 Experiment 2: Plotting and Interpreting Linear Graph

PSPM 2010/2011

4. The period, T of a simple pendulum is given by

T  2 l
g

where l is the length of the string and g is the gravitational acceleration. In an
experiment, the times for 20 oscillations for various lengths of string were
measured and the results are shown in TABLE 4.

TABLE 4

Length of Time for Period, T T2
string, l 20 oscillations (s) (s 2)

(cm) (s)
90.0
80.0 37.5
70.0
60.0 36.0
50.0
40.0 34.0
30.0
20.0 31.5

29.0

26.5

22.5

19.0

(a) Copy and complete TABLE 4. [4 m]
(b) Plot a graph of T2 versus l. [6 m]
[3 m]
(c) Determine the gradient of the graph. [2 m]
(d) Calculate the value of g using the gradient of the graph.

DP014 Experiment 2: Plotting and Interpreting Linear Graph

PSPM 2011/2012

5. A stone is released from various heights, h. The respective time taken, t to
reach the ground is given in TABLE 5. The relationship between h and t is
given by

h  1 gt2
2

where g is the acceleration due to gravity.

h (m) TABLE 5 t2 (s2)
2.00 t (s) 2h (m)
4.00 0.60
6.00 0.85
8.00 1.14
10.00 1.32
12.00 1.40
14.00 1.49
1.71

(a) Copy and complete TABLE 5. [2 marks]

(b) Plot a graph of 2h versus t2. [7 marks]

(c) Determine the gradient of the graph. [4 marks]

(d) From the graph, calculate the acceleration due to gravity, g.

[2 marks]

[Ans : DIY, 9.74 m s-2, 9.74 m s-2]