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

Energy, work and power — practice question

A particle with mass $0.4\,\text{kg}$ is launched at a speed of $12\,\text{m s}^{-1}$ up the line of greatest slope on a smooth plane inclined at $30^\circ$ to the horizontal.
(a(i))[1]

Calculate the particle's initial kinetic energy.

(a(ii))[3]

Apply an energy method to determine how far the particle travels up the plane before it is momentarily at rest.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Kinetic energy found from $KE = \tfrac12 mv^2 = \tfrac12 \times 0.4 \times 12^2 = 28.8\,$J

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