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A spring with no mass whose length= L and a spring constant is k stands vertically...

A spring with no mass whose length= L and a spring constant is k stands vertically on the ground. A mass m is dropped from a height h (h>L) so that it lands on top of the spring. Express your answers in terms of the given variables and the gravitational acceleration g.

(a) What is the speed of the mass when it just reaches the spring?

(b) What is the maximum compression (change in length) of the spring?

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