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

Energy, work and power — practice question

A load is dragged over horizontal ground for a distance of $76\,\text{m}$ by means of a rope. The rope makes an angle of $5^\circ$ above the horizontal, and the rope tension is $65\,\text{N}$.
(i)[2]

Calculate the work done by the tension.

(ii)[2]

At one point in the motion, the load has a velocity of $1.5\,\text{m s}^{-1}$. Calculate the rate of working of the tension at this point.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $WD = Td\cos\alpha$ or an equivalent form, e.g. $WD = 65 \times 76\cos 5^\circ$

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