Mathematics 9709 · AS & A Level · Newton's laws of motion

Newton's laws of motion — practice question

A block of mass $8\,\text{kg}$ moves down a rough plane inclined at $30^\circ$ to the horizontal, and it begins from rest. The coefficient of friction between the block and the plane is $\mu$. The block accelerates uniformly down the plane at $2.4\,\text{m s}^{-2}$.
(a)[1]

Draw a diagram to show the forces acting on the block.

(b)[4]

Find $\mu$.

(c)[1]

Find the speed of the block once it has travelled $3\,\text{m}$ down the plane.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Force diagram correctly showing three forces in the correct directions

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