Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

Particles $A$ and $B$ have masses of $0.4\,\text{kg}$ and $1.6\,\text{kg}$ respectively. They are connected by a light inextensible string passing over a fixed smooth pulley. Particle $A$ is kept at rest while $B$ hangs freely, with the two vertical sections of the string straight and each particle initially $1.2\,\text{m}$ above the floor (see diagram). $A$ is let go, and the two particles begin to move.
(i)[5]

Determine the work done on $B$ by the tension in the string as $B$ drops to the floor.

(ii)[4]

Once particle $B$ reaches the floor it comes to rest. Particle $A$ keeps moving upwards. Find the greatest height above the floor attained by particle $A$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Newton’s second law used for particle A or B

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