Which graph represents the difference between total energy and potential energy of a particle executing SHM vs its distance from mean position?

Question

Quantrex Academy · Accepted Answer

Correct answer: B.

In a SHM, mechanical energy is conserved. So, the sum of kinetic energy and potential energy remains constant.

For a SHM,

$T . E . - U = K . E$

$⇒ T . E . - U = \dfrac{1}{2}m{v}^{2} = \dfrac{1}{2}m{\omega}^{2}\left({A}^{2} - {x}^{2}\right)$

This is the equation of a downward parabola.

Which graph represents the difference between total energy and...