If a long spring is stretched by 0.02 m,

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If a long spring is stretched by $0.02\, m$, its potential energy is $U$. If the spring is stretched by $0.1\, m$ then its potential energy will be

A

$\frac{U}{5}$

B

$U$

C

$5U$

D

$25U$

If a long spring is stretched by $0.02\, m$, its potential energy is $U$. If the spring is stretched by $0.1\, m$ then its potential energy will be

$U \propto {x^2}$

==> $\frac{{{U_2}}}{{{U_1}}} = {\left( {\frac{{{x_2}}}{{{x_1}}}} \right)^2} = {\left( {\frac{{0.1}}{{0.02}}} \right)^2} = 25$
${U_2} = 25U$