Spring Potential Energy – Rankers Physics

Potential Energy & Equilibrium: Practice Problem & Solution

Assertion (A): A spring has potential energy, both when it is compressed or elongated. Reason (R): In compressing or stretching, work is done on the spring against the restoring force.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Potential Energy & Equilibrium. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is true:

A spring stores elastic potential energy, calculated as \(U = \frac{1}{2}kx^2\), when it is compressed or stretched from its equilibrium position.

Reason (R) is true: This potential energy is stored because an external force does work against the spring's restoring force during deformation. Reason (R) correctly explains Assertion (A).

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