Question

The potential energy of the spring when stretched ______.

Answer 1

Potential Energy.

1. The total external work done on the system is equal to potential energy.
2. When work is done on a spring its potential energy is increased.
3. Potential energy of spring is given by $P.E.=\frac{1}{2}k{x}^2$, where $P.E.$ is potential energy of spring, $k$ is spring constant, and $x$ is the spring displacement.
4. When the spring is stretched, the value of $x$ increases.
5. As $P.E.\propto x$, So the potential energy will increase with the increasing stretch of spring.

Hence, the potential energy of the spring when stretched increases.