A 5 kg block is fastened to a vertical spring that has a spring constant of 1000 newtons per meter. A 3 kg block rests on top of the 5 kg block. (The spring is vertical, with the 5kg block on top of it, and the 3kg on top of the 5kg).

a) When the blocks are at rest, how much is the spring constant compressed from its original length? The blocks are now pushed down and released so that they oscillate.

b) Determine the frequency of this oscillation.

c) Determine the magnitude of the mazimum acceleration that the blocks can attain and still remain in contact at all times.

d) How far can the spring be compressed beyond the compression in part (a) without causing the blocks to exceed the acceleration value in part (c)?

e) Determine the maximum speed of the blocks if the spring is compressed the distance foundi n part (d).