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A ball of mass 0.50 kg is fired with velocity 200 m/s into the barrel of a sprin

ID: 1374946 • Letter: A

Question

A ball of mass 0.50 kg is fired with velocity 200 m/s into the barrel of a spring gun of mass 2.2 kg initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. No energy is lost to friction. What fraction of the ball's initial kinetic energy is stored in the spring?

A ball of mass 0.50 kg is fired with velocity 200 m/s into the barrel of a spring gun of mass 2.2 kg initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. No energy is lost to friction. What fraction of the ball's initial kinetic energy is stored in the spring?

Explanation / Answer

the fraction of the initial kinetic energy of the ball stored in the spring is

M/(m+M) = 2.2 / (0.5 + 2.2) = 0.8148

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