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

Energy, work and power — practice question

The winch works through a force applied by a rope. It is used to haul a load of mass $50\,\text{kg}$ along the line of greatest slope of a plane that is inclined at $60^\circ$ to the horizontal. The winch moves the load a distance of $5\,\text{m}$ up the plane at constant speed. A constant resistance to motion of $100\,\text{N}$ acts.
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Find the work done by the winch for this motion.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces parallel to the plane to obtain the force exerted by the winch $=50g\sin60+100$.

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