When a long spring is stretched by 2 cm , its potential energy is $V$. If the spring is stretched by

Question

When a long spring is stretched by 2 cm , its potential energy is $V$. If the spring is stretched by 10 cm , the potential energy in it will be

Professor PC Thomas Classes · Answer

$V = \frac{1}{2}kx^2$. Changing $x$ from 2 to 10 is a factor of 5, increasing energy by $5^2 = 25$.