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

Newton's laws of motion — practice question

Particles $A$ and $B$, with masses $m\,\text{kg}$ and $0.3\,\text{kg}$ respectively, are fastened to the two ends of a light inextensible string. The string goes over a fixed smooth pulley, and the particles hang freely beneath it. The system is let go from rest, with both particles $0.8\,\text{m}$ above horizontal ground. Particle $A$ reaches the ground at a speed of $0.6\,\text{m s}^{-1}$.
(i)[4]

Find the tension in the string while the motion is taking place before $A$ reaches the ground.

(ii)[2]

Calculate the value of $m$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Application of equation $v^2 = u^2 + 2as$: $0.6^2 = 2a\times0.8$

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