An 8.00 kg sphere is pushed down onto a vertical spring of spring constant 784 N

Question

An 8.00 kg sphere is pushed down onto a vertical spring of spring constant 784 N/m, so that the spring is compressed through a distance of 40.0 cm, as shown in the figure below.  The sphere is then released from rest, so that the spring launches it upward into the air.  Calculate the maximum height that it rises above the point of release.  

An 8.00 kg sphere is pushed down onto a vertical spring of spring constant 784 N/m, so that the spring is compressed through a distance of 40.0 cm, as shown in the figure below. The sphere is then released from rest, so that the spring launches it upward into the air. Calculate the maximum height that it rises above the point of release.

Explanation / Answer

Energy=constant=mgh=0.5kx^2=8*10*h=0.5*784*0.4^2=0.784m

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