Question

A long spring is stretched by 2 cm and the potential energy is $V$. If the spring is stretched by 10 cm, its potential energy will be

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

Answer 1

The correct option is D $25V$

$V=\frac{1}{2}k(x{)}^2=\frac{1}{2}k(2{)}^2$ or $k=\frac{2V}{4}=\frac{V}{2}$

$V^{\prime }=\frac{1}{2}k(10{)}^2=\frac{1}{2}\times \left[\frac{V}{2}\right](10{)}^2=25V$