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

Newton's laws of motion — practice question

Block $A$ has mass $3\,\text{kg}$ and is tied to one end of a light inextensible string $S_1$. At the far end of $S_1$ is block $B$ of mass $2\,\text{kg}$, and $B$ is also joined to one end of another light inextensible string $S_2$. The other end of $S_2$ is fastened to a fixed point $O$, so the blocks hang in equilibrium beneath $O$ (see diagram). When $S_2$ breaks, the particles fall. The air resistance on $A$ is $1.6\,\text{N}$ and the air resistance on $B$ is $4\,\text{N}$.
(i)[2]

Find the tension in $S_1$ and also the tension in $S_2$.

(ii)[5]

Find the acceleration of the particles and the tension in $S_1$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The tension in $S_1$ comes to $30\,\text{N}$

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