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

Newton's laws of motion — practice question

Two particles, $A$ and $B$, with masses $0.3\text{ kg}$ and $0.2\text{ kg}$ respectively, are fastened to the two ends of a light inextensible string. $A$ is kept at rest on a rough horizontal table, and the string passes over a small smooth pulley at the table edge. $B$ hangs vertically beneath the pulley. The system is released and $B$ begins to move downwards with acceleration $1.6\text{ m s}^{-2}$.
(i)[2]

Determine the tension in the string after the system is released.

(ii)[3]

Determine the frictional force acting on $A$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Newton’s second law applied to $B$: $0.2g - T = 0.2 \times 1.6$

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