Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Particles $A$ and $B$, whose masses are $3.2\text{ kg}$ and $2.4\text{ kg}$ respectively, rest on a smooth horizontal table. $A$ travels towards $B$ at a speed of $v\text{ m s}^{-1}$ and then strikes $B$, which is travelling towards $A$ at a speed of $6\text{ m s}^{-1}$. After the collision, both particles are at rest.
(a)[2]

Calculate the value of $v$.

(b)[2]

Calculate the loss of kinetic energy of the system due to the collision.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Conservation of momentum attempted with two non-zero terms, e.g. $3.2v + 2.4(-6) = 0$

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