Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Small smooth spheres $A$ and $B$, with equal radii and masses of $6\text{ kg}$ and $2\text{ kg}$ respectively, are on a smooth horizontal plane. At the start, $A$ is travelling towards $B$ at speed $5\ \text{m\,s}^{-1}$, while $B$ is travelling towards $A$ at speed $3\ \text{m\,s}^{-1}$. After the collision, both $A$ and $B$ travel in the same direction, and the difference between their speeds is $2\ \text{m\,s}^{-1}$.
(main)[5]

Determine the loss of 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: Apply conservation of momentum, for example $6\times5 + 2\times(-3) = 6v_A + 2v_B$

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