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A vertical elastic spring with a spring constant of 619 N/m is compressed 25 cm. A...

A vertical elastic spring with a spring constant of 619 N/m is compressed 25 cm. A ball of mass 320 grams is placed at rest on top of the compressed spring. Take that the height of the ball at this position is zero. The spring is then released so the ball is shot straight up.

a)Find the total initial energy of the system consisting of the ball and the spring.

b)Find the total potential (i.e before the ball is shot) energy of the system at the instant the ball leaves the spring (compared to the zero level)

c) Find the kinetic energy of the ball at the instant it leaves the spring.

d) Find the speed of the ball at the instant it leaves the spring.

e) How high does the ball rise in its vertical trajectory above the non-compressed position of the spring?

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