Question

a mass spring oscillating undergoes shm. which of the following graph represents elastic potential energy as a function of position​

Answer 1

Graph of PE of mass-spring system:

Potential Energy of a mass spring system with respect to position can be expressed as follows:

$\boxed{ \bf \: PE = \dfrac{1}{2} m { \omega}^{2} {x}^{2} }$

• m is mass
• $\omega$ is angular frequency
• x is displacement from mean position

Keeping mass and angular frequency constant:

$\boxed{ \bf \: PE \propto \: {x}^{2} }$

So, the graph will be a parabola.