Potential Energy in SHM – Rankers Physics

Uncategorized: Practice Problem & Solution

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

Solution Explained:

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

The total mechanical energy $E$ is the sum of kinetic and potential energy: $E = K + U$. Thus, $8 = 10 + U implies U = -2text{ J}$.

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