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

Energy, work and power — practice question

A block $B$ with mass $2.7\,\text{kg}$ is being pulled at a steady speed in a straight path across a rough horizontal floor. The pulling force is $25\,\text{N}$ and is applied at an angle of $\theta$ above the horizontal. The normal component of the contact force on $B$ is $20\,\text{N}$.
(i)[2]

Show that $\sin\theta = 0.28$

(ii)[2]

Find the work done by the pulling force in moving the block through a distance of $5\,\text{m}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolving the vertical forces gives $20 + 25\sin\theta = 2.7g$

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