When you stretch an ideal spring a distance x, you do some amount of work on it.

Question

When you stretch an ideal spring a distance x, you do some amount of work on it. If you stretch the same spring a distance of 2x, the amount of work you do is

A. half as much as before

B. the same as before

C. twice as much as before

D. four times as much as before

An object is attached to the end of a spring and it oscillates back and forth along a horizontal surface. As the spring stretches from equilibrium,

A. The spring does positive work on the block. B. The spring does negative work on the block. C. The spring does no work on the block. D. We can't determine the sign of the work done on the block.

Explanation / Answer

W1 = 0.5*K*x^2

W2 = 0.5*k*(2x)^2 = 4W1

Dfour times as much as before

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