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

Energy, work and power — practice question

An object of mass $8\,\text{kg}$ moves down the line of greatest slope on an inclined plane. At the top of the plane, its initial speed is $3\,\text{m s}^{-1}$, and at the bottom its speed is $8\,\text{m s}^{-1}$. The work done against the resistance to motion of the object is $120\,\text{J}$.
(main)[4]

Determine the height of the top of the plane above the level of the bottom.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: loss of PE $=$ gain in KE $+$ work done against resistance

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