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a block of mass m is pushed up against a spring with spring constant k until the spring has been compressed a distance x from equilibrium. what is the work done on the block by the spring.

A. W=kx^2
B.W=-kx^2
C.W=0
D. None of these

Respuesta :

Answer:d

Explanation:

Spring is compressed to a distance of x from its equilibrium position

Work done by block on the spring is equal to change in elastic potential energy

i.e. Work done by block [tex]W=\frac{1}{2}kx^2[/tex]

therefore spring will also done an equal opposite amount of work on the block in the absence of external force

Thus work done by spring on the block [tex]W=-\frac{1}{2}kx^2[/tex]

Thus option d is correct

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