A ball of mass 0.45 kg is fired with velocity 120 m/s into the barrel of a spring gun of mass 2.0 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?

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Asked Mar 3, 2019
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A ball of mass 0.45 kg is fired with velocity 120 m/s into the barrel of a spring gun of mass 2.0 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?

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Expert Answer

Step 1

From the laws of conservation of momentum, the velocity of the ball-gun system is,

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Step 2

From the laws of conservation of energy, the energy stored in the spring is,

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Step 3

The initial kinetic...

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