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” …