A bullet is fired horizontally with a speed of into a stationary wooden block of mass…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 50 g50\,\text{g} bullet is fired horizontally with a speed of 300 m s−1300\,\text{m s}^{-1} into a stationary wooden block of mass 2.0 kg2.0\,\text{kg} resting on a smooth horizontal table. The bullet embeds in the block, and the combined system then moves up a smooth incline that makes an angle small enough to be treated using mghmgh for the vertical rise only. Neglect air resistance. (i) Find the speed of the bullet–block system just after impact. (ii) Determine the maximum vertical height the system rises before momentarily coming to rest (take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}).

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