Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A box with mass $25\,\text{kg}$ is dragged in a straight line over a horizontal floor. It starts from rest at point $A$ and reaches point $B$ with speed $3\,\text{m s}^{-1}$. The distance $AB$ is $15\,\text{m}$. The pulling force has magnitude $220\,\text{N}$ and acts at an angle $\alpha$ above the horizontal. As the box moves from $A$ to $B$, the work done against the resistance to motion on the box is $3000\,\text{J}$.
(main)[5]

Find the value of $\alpha$ using the information given.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $\text{KE} = \tfrac12 mv^2$ or $\text{work done} = Fd\cos\alpha$.

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