Physics

Physics

Problem

A coil spring has a spring constant of 250 N/m250\,\text{N/m}. Determine the magnitude of the displacement from equilibrium required for the spring to exert a restoring force of 6.0 N6.0\,\text{N}. Express your answer in centimeters. a) 24 cm24\,\text{cm} b) 0.24 cm0.24\,\text{cm} c) 2.4 cm2.4\,\text{cm} d) 0.024 cm0.024\,\text{cm}
Intuitive explanation

Hooke's Law is your foundation here—it directly links the restoring force a spring exerts to how far it's stretched or compressed from equilibrium. The key insight is that you're given the force and the spring constant, so you can rearrange F=kxF = kx to solve for the displacement xx algebraically. Just watch your units: convert your final answer from meters to centimeters.

Intuitive explanation

Hooke's Law is your foundation here—it directly links the restoring force a spring exerts to how far it's stretched or compressed from equilibrium. The key insight is that you're given the force and the spring constant, so you can rearrange F=kxF = kx to solve for the displacement xx algebraically. Just watch your units: convert your final answer from meters to centimeters.

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