Potential Energy in SHM – Rankers Physics
Topic: Oscillation
Subtopic: Energy in SHM

Potential Energy in SHM

A particle is undergoing SHM having total mechanical energy equal to \(8\text{ J}\). At an instant its kinetic energy is found to be \(10\text{ J}\), then its potential energy at that instant is
\(18\text{ J}\)
\(2\text{ J}\)
\(-10\text{ J}\)
\(-2\text{ J}\)

Solution:

Total mechanical energy \(E\) in SHM is the sum of kinetic energy \(K\) and potential energy \(U\): \(E = K + U\). Substituting the values, \(8\text{ J} = 10\text{ J} + U\), which gives \(U = -2\text{ J}\) as the potential energy at that instant.

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