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Potential Energy of an Object at a Height

A spring when...

Question

A spring when stretched by $2 m m$ its potential energy becomes $4 J$ . If it is stretched by $10 m m$ , its potential energy is equal to

A

4 J

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B

54 J

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C

415 J

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D

100 J

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Solution

The correct option is D $100 J$
$x_{1} = 2 m m; x_{2} = 10 m m$
potential energy U $= \frac{1}{2} k x^{2}$
if x becomes 5 times then energy will become 25 times
i.e: $4 \times 25 = 100 J$

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