Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Two small smooth spheres \(A\) and \(B\), each with the same radius and with masses of \(5\,\text{kg}\) and \(3\,\text{kg}\) respectively, rest on a smooth horizontal plane. At the start, \(B\) is at rest, whereas \(A\) moves towards \(B\) at a speed of \(8.5\,\text{m s}^{-1}\). The spheres collide, and afterwards \(A\) continues in the same direction, but at one quarter of \(B\)'s speed.
(a)[3]

Find \(B\)'s speed after the collision.

(b)[2]

Find the reduction in kinetic energy of the system caused by the collision.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use the principle of conservation of momentum.

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