A ball moves east with momentum and strikes a ball initially at rest on a…

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

Problem

A 1.0 kg1.0\,\text{kg} ball moves east with momentum 4 kg m s−14\,\text{kg\,m\,s}^{-1} and strikes a 2.0 kg2.0\,\text{kg} ball initially at rest on a frictionless table. After a perfectly elastic collision, the 1.0 kg1.0\,\text{kg} ball is seen to move at 60∘60^{\circ} north of east with speed 3.0 m s−13.0\,\text{m\,s}^{-1}. Approximately what speed does the 2.0 kg2.0\,\text{kg} ball acquire immediately after the collision? (a) 1.2 m s−11.2\,\text{m s}^{-1} (b) 2.7 m s−12.7\,\text{m s}^{-1} (c) 1.8 m s−11.8\,\text{m s}^{-1} (d) 3.0 m s−13.0\,\text{m s}^{-1}

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