Question

A linear simple harmonic oscillation has a total mechanical energy of $300\text{J}$. Its potential energy at mean position is $100\text{J}$. Find the minimum potential energy.

• A. $50\text{J}$
• B. $250\text{J}$
• C. $100\text{J}$
• D. $200\text{J}$

Answer 1

The correct option is C $100\text{J}$

Given,
Total mechanical energy $\left(E\right)=300\text{J}$
Potential energy at mean position $\left(U\right)=100\text{J}$
We know, at mean position, potential energy is minimum.
Hence, $U_{min}=100\text{J}$