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Example · Example 4

Q.A spring stretches by 2 cm2\ \text{cm} when a force of 8 N8\ \text{N} is applied to it. Find the force constant of the spring, and write the restoring force acting on the spring when it is displaced by xx from its natural length.

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By Hooke's law, F=kxF=kx in magnitude, so the force constant is

k=Fx=8 N0.02 m=400 N/mk = \frac{F}{x} = \frac{8\ \text{N}}{0.02\ \text{m}} = 400\ \text{N/m}

When this spring is displaced by a general distance xx from its natural length, the restoring force acting on it, directed back towards the natu …

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