Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
A particle with mass $0.1\,\text{kg}$ is released from rest on a rough plane that is inclined at $20^{\circ}$ to the horizontal. It is stated that, $5$ seconds after release, the particle is moving at $2\,\text{m s}^{-1}$.
(a(i))[3]
Find the acceleration of the particle and hence show that the magnitude of the frictional force acting on it is $0.302\,\text{N}$, correct to $3$ significant figures.
(a(ii))[2]
Find the coefficient of friction between the particle and the plane.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Using $2 = 5a$ to obtain $a = 0.4\,\text{m s}^{-2}$” …