1.4 Elasticity

1.4 Elasticity

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Contents

in this topic, we will learn
about one of the force which is
related to “spring”. A man-
made engineered which can
be compress or extend when a
force is applied

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What is Extension of

the Spring?

➜ Increase in length of a spring

when a stretching force is
applied on it.

➜ The difference between the

extended length, l and the
original length, 0

➜ = − 0

Spring Constant, k 5

TYPE OF MATERIAL DIAMETER
Elasticity: Spring constant
Steel > copper smaller diameter > higher
Spring constant:
Copper > steel diameter

Spring constant Spring constant
Larger > smaller Shorter > longer
THICKNESS
LENGTH

Hooke’s Law 6

➜ extension of the spring
is directly proportional
to the force applied;

What is the
statement of
Hooke’s Law?

Hooke’s Law 7

What is the ➜ extension of the spring
statement of is directly proportional
Hooke’s Law? to the force applied;
the elastic limit of the
spring is not exceeded

Hooke’s Law 8

What is the ➜ extension of the spring
statement of is directly proportional
Hooke’s Law? to the force applied;
the elastic limit of the
spring is not exceeded

➜ Mathematically,
∝

Hooke’s Law 9

What is the ➜ extension of the spring
statement of is directly proportional
Hooke’s Law? to the force applied;
the elastic limit of the
spring is not exceeded

➜ Mathematically,
∝

F ∝

Hooke’s Law 10

What is the ➜ extension of the spring
statement of is directly proportional
Hooke’s Law? to the force applied;
the elastic limit of the
spring is not exceeded

➜ Mathematically,
∝

F ∝

=

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Next, we will
learn about
the graph of
against

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Information from graph against

Force, F (N)

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Hooke’s law states that

Elastic limit ∝ ; elastic limit not
exceeded

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Hooke’s law states that

Elastic limit ∝ ; elastic limit not
exceeded

➜ If greater force is

applied to the spring,
more than its elastic
limit, the spring will
become inelastic.

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Hooke’s law states that

Elastic limit ∝ ; elastic limit not
Extension, (cm) exceeded

➜ If greater force is

applied to the spring,
more than its elastic
limit, the spring will
become inelastic.

➜ The spring will not

return to its original
shape

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Information from graph against

Force, F (N) ➜ Gradient of the graph,

= ,

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Gradient of the graph,

= ,

➜ from Hooke’s Law,

spring constant, =


Extension, (cm)

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Information from graph against

Force, F (N) ➜ Gradient of the graph,

Gradient of = ,
the graph
=k ➜ from Hooke’s Law,

spring constant, =


➜ Thus, gradient of the

graph = spring constant

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Area under the graph

= 1
2

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Area under the graph
1
2 = 1
2

➜ Physics unit? Refer to

its S.I unit.

➜ = N m is the unit of

Energy

Extension, (cm)

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Information from graph against

Force, F (N) ➜ Area under the graph
Elastic Potential
Energy = 1
2
1
2 ➜ Physics unit? Refer to

Extension, (cm) its S.I unit.

➜ = N m is the unit of

Energy

➜ Thus area under the

graph =
Elastic Potential Energy

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Information from graph against

Force, F (N) ➜ Thus area under the

Elastic Potential graph =
Energy Elastic Potential Energy

➜ Work done by the

spring, = 1
2

1
2

Extension, (cm)

Information from graph against 23

Force, F (N) ➜ Thus area under the :
=
Elastic Potential graph =
Energy Elastic Potential Energy Thus,
substitute
➜ Work done by the Into k

spring, = 1
2

1
2

Extension, (cm)

Information from graph against 24

Force, F (N) ➜ Thus area under the :
Elastic Potential =
Energy graph =
Elastic Potential Energy Thus,
1 substitute
2 ➜ Work done by the Into k

spring, = 1
2

➜ = 1
2

Extension, (cm)

Information from graph against 25

Force, F (N) ➜ Thus area under the :
Elastic Potential =
Energy graph =
Elastic Potential Energy Thus,
1 substitute
2 ➜ Work done by the Into k

spring, = 1
2

➜ = 1
2

➜ = 1 2
2

Extension, (cm)

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Informations from graph against

Force, F (N) ➜ Elastic limit

Elastic limit

Extension, (cm)

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Informations from graph against

Force, F (N) Elastic limit ➜ Elastic limit

Spring ➜ Gradient of the graph =
constant,
spring constant,

Extension, (cm)

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Informations from graph against

Force, F (N) ➜ Elastic limit

Spring Elastic limit ➜ Gradient of the graph =
constant,
spring constant,

➜ Area under the graph

Elastic Potential = Elastic
Energy Potential Energy

1 ➜ Work done by the
2
1 2
spring, = 2

Extension, (cm)

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Informations from graph against

Force, F (N) ➜ Elastic limit

Spring Elastic limit ➜ Gradient of the graph =
constant,
spring constant,

➜ Area under the graph

Elastic Potential = Elastic
Energy Potential Energy

1 ➜ Work done by the
2
1 2
spring, = 2

Extension, (cm)

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