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

Energy, work and power — practice question

A block with mass $20\,\text{kg}$ is initially at rest at the top of a plane that slopes at $30^{\circ}$ to the horizontal. It is launched at speed $5\,\text{m s}^{-1}$ along a line of greatest slope down the plane. A resistance force acts on the block. When the block has travelled $2\,\text{m}$ down the plane from the point from which it was projected, the work done against the resistance force is $50\,\text{J}$.
(main)[4]

Find the block’s speed after it has moved $2\,\text{m}$ down the plane.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Change in gravitational potential energy $=\pm20g\sin30\times2$

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