Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

A particle $B$ with mass $5\,\text{kg}$ is initially stationary on a smooth horizontal table. A particle $A$ with mass $2.5\,\text{kg}$ travels along the table at $6\,\text{m s}^{-1}$ and strikes $B$ head-on. During the collision, the two particles join together.
(a)[2]

Determine the speed of the joined particle after the collision.

(b)[3]

Determine the loss in the system's kinetic energy 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 conservation of momentum, e.g. $6 \times 2.5 = 2.5v + 5v$

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