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

Energy, work and power — practice question

Particles $A$ and $B$, having masses $2\,\text{kg}$ and $3\,\text{kg}$ respectively, are joined by a light inextensible string. Particle $B$ rests on a smooth fixed plane inclined at $18^\circ$ to the horizontal ground. The string goes over a fixed smooth pulley at the top of the plane. Particle $A$ hangs vertically beneath the pulley and is $0.45\,\text{m}$ above the ground (see diagram). The system is released from rest while the string is taut. When $A$ reaches the ground, the string breaks.
(main)[8]

Find the full distance travelled by $B$ before it comes to instantaneous rest. You may assume that $B$ does not reach the pulley.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use Newton’s second law on particle $A$, particle $B$ or the system with the correct number of terms

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