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A long spring is stretched by 2 cm and its potential energy is U. If the spring is stretched by 10 cm; its potential energy will be

a)

U/5

b)

U/25

c)

5 U

d)

25 U


Question ID - 50675 | SaraNextGen Top Answer

A long spring is stretched by 2 cm and its potential energy is U. If the spring is stretched by 10 cm; its potential energy will be

a)

U/5

b)

U/25

c)

5 U

d)

25 U

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

The potential energy of a stretched spring is

Here, k=spring constant, x=elongation in spring.

But given that, the elongation is 2 cm.

So 

Or                  ...(i)

If elongation is 10 cm then potential energy            

Or             …(ii)

On dividing Eq. (ii)  by Eq. (i), We have

Or

127 votes

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