Two identical billiard balls

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Two identical billiard balls, each of mass 0.16 kg0.16\,\text{kg}, move on a level, nearly frictionless table. Ball A travels due east at 4.0 m/s4.0\,\text{m/s} and collides with ball B, which is initially at rest. After the collision, ball A moves at 2.5 m/s2.5\,\text{m/s} at 45∘45^{\circ} north of east, and ball B moves at 3.0 m/s3.0\,\text{m/s} at 45∘45^{\circ} south of east. Based on these data, which of the following best describes the type of collision? (a) Elastic, because the total momentum is conserved in both the xx and yy directions. (b) Inelastic, because the total kinetic energy decreases by about 5%5\%. (c) Perfectly inelastic, because any loss of kinetic energy means the collision is perfectly inelastic. (d) Elastic, because the 5%5\% change in kinetic energy is within typical experimental uncertainty.

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