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

Short Solution (Best for NEET):

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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