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

Energy, work and power — practice question

A particle with mass $8\,\text{kg}$ is drawn, at constant speed, a distance of $20\,\text{m}$ along a rough plane that is inclined at an angle of $30^\circ$ to the horizontal by a force acting in the line of greatest slope.
(i)[2]

Calculate the increase in gravitational potential energy of the particle.

(ii)[2]

The total work done against gravity and friction is $1146\,\text{J}$. Calculate the frictional force acting on the particle.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Potential energy gain $= mgh = 8g \times 20\sin 30^\circ$

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