(i)[3]
Show that, by the time $B$ is level with the bottom of the plane, the system has lost $23.328\,\text{J}$ of potential energy.
(ii)[2]
Hence determine the speed of the particles when $B$ is level with the bottom of the plane.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
Particles $A$, with mass $1.6\,\text{kg}$, and $B$, with mass $2\,\text{kg}$, are connected to the two ends of a light inextensible string. The string runs over a small smooth pulley fixed at the top of a smooth plane inclined at angle $\theta$, where $\sin \theta = 0.8$. Particle $A$ is initially held at rest at the lower end of the plane, while $B$ is suspended at a height of $3.24\,\text{m}$ above the level of the bottom of the plane (see diagram). $A$ is released from rest and the particles begin to move.