Ball and Spring Gun In Fig. 9-56, a ball of mass m is shot with speed v1 into th

Question

Ball and Spring Gun In Fig. 9-56, a ball of mass m is shot with speed v1 into the
barrel of a spring gun of mass M initially at rest on a frictionless surface. The ball sticks
in the barrel at the point of maximum compression of the spring. Assume that the
increase in thermal energy due to friction between the ball and the barrel is negligible, (a)
What is the speed of the spring gun after the ball stops in the barrel? (b) What fraction of
the initial kinetic energy of the ball is stored in the spring?

Explanation / Answer

0.5mv12 = 0.5(m + M)v2

v = (m/(m + M)) v1

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