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

Newton's laws of motion — practice question

Particles $A$ and $B$, with masses $0.3\,\text{kg}$ and $0.7\,\text{kg}$ respectively, are joined to the two ends of a light inextensible string. Particle $A$ is initially at rest on a rough horizontal table, and the string passes over a smooth pulley fixed at the table edge. The coefficient of friction between $A$ and the table is $0.2$. Particle $B$ hangs vertically below the pulley, with its height $0.5\,\text{m}$ above the floor (see diagram). The system is released from rest, and $0.25\,\text{s}$ later the string breaks. In the later motion, $A$ does not reach the pulley.
(i)[9]

Determine the speed of $B$ just before it reaches the floor.

(ii)[3]

Find the total distance travelled by $A$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use Newton’s second law for both particles

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