Question

A long spring is stretched by $2\text{cm}$. Its potential energy is $\text{U}$. If the spring is stretched by $10\text{cm}$, its potential energy would be

• A. $\frac{U}{25}$
• B. $\frac{U}{5}$
• C. $5U$
• D. $25U$

Answer 1

The correct option is D $25U$

$U=\frac{1}{2}K{x}^2\text{or}U\propto x^2$
Stretch is increased to 5 times. Therefore, stored potential energy will be increased by 25 times.