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Question: The potential energy of a spring when stretched through a distance x is 10 J. What is the amount of ...

The potential energy of a spring when stretched through a distance x is 10 J. What is the amount of work done on the same spring to stretch it through an additional distance x?

A

10 J

B

20 J

C

30 J

D

40 J

Answer

30 J

Explanation

Solution

Potential energy of the spring when stretched through a distance x,

U=12kx2=10 J\mathrm { U } = \frac { 1 } { 2 } \mathrm { kx } ^ { 2 } = 10 \mathrm {~J}

When x becomes 2x, the potential energy will be

work done