A pellet is fired horizontally into a wooden block suspended from two light strings…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A 5.0 g5.0\,\text{g} pellet is fired horizontally into a 1.0 kg1.0\,\text{kg} wooden block suspended from two light strings so that it can swing like a pendulum. The pellet embeds in the block, and the combined system subsequently rises to a vertical height of 0.040 m0.040\,\text{m} before momentarily coming to rest. What was the speed of the pellet just before impact? (a) 222 m/s222\,\text{m/s} (b) 89 m/s89\,\text{m/s} (c) 178 m/s178\,\text{m/s} (d) 126 m/s126\,\text{m/s}

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