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A perfect massless spring with spring constant k= 30000 N/m is affixed to a wall at...

A perfect massless spring with spring constant k= 30000 N/m is affixed to a wall at the base of a ramp. A block (mass= 3 kg) is touching the end of the spring that is away from the wall. The block begins at rest, and the spring begins at equilibrium.

A stranger comes along and presses the block towards the wall, compressing the spring a distance of 9 cm. The pen she releases it.

A. Calculate the work done by the spring as it returns to equilibrium

B. Calculate the kinetic energy of the block the moment the spring reaches equilibrium.

Assume friction is negligible

C. Calculate the height that the block will travel up the ramp before coming to rest.

D. After coming to rest on the frictionless ramp, the block will of course begin to slide back down. Calculate the work done by gravity as the block slides back down

E. Calculate the kinetic energy of the block when it gets back to the bottom of the ramp.

F. Calculate the work the spring will have to do in order to stop the block

G. Calculate how far the spring will be compressed as it stops the block.

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