In the figure below, a 12 g bullet moving directly upward at 1000 m/s strikes an

Question

In the figure below, a 12 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest. The bullet emerges from the block moving directly upward at 200 m/s. To what maximum height does the block then rise above its initial position?

In the figure below, a 12 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest. The bullet emerges from the block moving directly upward at 200 m/s. To what maximum height does the block then rise above its initial position?

Explanation / Answer

Transfer of momentum = 0.012(1000 - 200) = 5v; v = 1.92m/s; h = v^2/2g = 0.188m = 18.8cm

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