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

Energy, work and power — practice question

Particles $A$ and $B$ have masses $m\,\text{kg}$ and $0.1\,\text{kg}$ respectively, with $m > 0.1$. They are fastened to the two ends of a light inextensible string, which runs over a fixed smooth pulley so that the particles hang vertically beneath it (see diagram). Initially, each particle is $0.9\,\text{m}$ above level ground, and the system is released from rest; during the time that both particles are moving, the string tension is $1.5\,\text{N}$. Particle $B$ does not reach the pulley.
(a)[4]

Determine $m$.

(b)[2]

Determine the speed at which $A$ reaches the ground.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use Newton’s 2nd law: $T-0.1g=0.1a$ and $mg-T=ma$ or the system equation $mg-0.1g=(m+0.1)a$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI