Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
Particles $A$ and $B$, with masses $0.8\,\text{kg}$ and $0.2\,\text{kg}$ respectively, are joined by a light inextensible string. $A$ rests on a horizontal plane. The string runs over a small smooth pulley $P$ at the edge of the plane, and $B$ is suspended freely. The horizontal part of the string, $AP$, has length $2.5\,\text{m}$. The particles are let go from rest, with both parts of the string taut.
(i)[5]
Assuming the surface is smooth, determine the time taken for $A$ to reach the pulley.
(ii)[5]
Now suppose the surface is rough and the coefficient of friction between $A$ and the surface is $0.1$; determine the speed of $A$ immediately before it reaches the pulley.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme.