Mathematics 9709 · AS & A Level · Newton's laws of motion

Newton's laws of motion — practice question

Particles $P$ and $Q$, with masses $0.6\,\text{kg}$ and $0.4\,\text{kg}$ respectively, are joined by a light inextensible string. This string runs over a small smooth light pulley that is fixed at the end of a smooth horizontal table. At first, $P$ is held stationary on the table while $Q$ hangs vertically (see diagram). $P$ is then released.
(main)[4]

Find the acceleration of $Q$ and the tension in the string.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Using Newton’s 2nd law for one particle or for the system, e.g. $0.4g - T = 0.4a$ or $T = 0.6a$

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