Page 37 - Physics Form 5 KSSM_Neat

The results of Experiment 1.1 produces a graph with a SCAN ME CHAPTER 1
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straight line passing through the origin as shown in Figure 1.33. Elastic limit
This shows that the extension of the spring is directly proportional
to the force applied on the spring. Force and Motion II
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Hooke’s law states that the extension of a spring
KEMENTERIAN PENDIDIKAN MALAYSIA
is directly proportional to the force applied on the
spring provided the elastic limit of the spring is x
not exceeded.
This relationship can be written as:
x ∝ F
F ∝ x
F = kx
where F = applied force 0 F
x = extension of the spring Figure 1.33 Graph of x against F
k = spring constant
F = kx is the formula for Hooke’s law

Analysis of the Graph of Force Against the Extension of a Spring
Figure 1.34 shows the graph of force against the extension of a spring.

F / N

F

0 x / m
x
Figure 1.34 Graph of F against x

Based on the graph of F
Hooke’s law: F = kx against x, the gradient
Spring constant, k = F of the graph = F
x x SCAN ME
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Spring constant

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Spring constant, k = Gradient of the graph of F against x

Figure 1.35 Relationship between spring constant and gradient of the graph

LS 1.4.2 1.4.3 27