A spiral spring is compressed so that the potential energy is144 J. When the spr

Question

A spiral spring is compressed so that the potential energy is144 J. When the spring is instead stretched two-thirds of thedistance it was compressed, its remaining potential energy willbe?
A) 96J B) 80 J C) 64 J D) 48 J E) 16 J Please show the work, so I can understand how to do thisproblem. Thanks :) A spiral spring is compressed so that the potential energy is144 J. When the spring is instead stretched two-thirds of thedistance it was compressed, its remaining potential energy willbe?
A) 96J B) 80 J C) 64 J D) 48 J E) 16 J Please show the work, so I can understand how to do thisproblem. Thanks :)

Explanation / Answer

In an ideal spring, the same calculation will be used forstretching or compressing a spring. E=0.5Kx^2 Let's make up a distance to find a K to use. We'll say thefirst time it was compressed 3m 144J=0.5K(9m) K=32Nm Now we can plug in the value for stretching it 2/3 of thedistance 2/3(3)=2m E=0.5(32Nm)(4m) E=64J Which is answer C

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