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

Energy, work and power — practice question

A smooth slide $AB$ is positioned so that its top end $A$ lies $3\,\text{m}$ above level ground. Point $B$ is $h\,\text{m}$ above the ground. A particle $P$ of mass $0.2\,\text{kg}$ is let go from rest at a point on the slide. It travels down the slide and, after going past $B$, keeps moving until it reaches the ground. The speed of $P$ at $B$ is $v_B$ and the speed at which $P$ hits the ground is $v_G$.
(i(a))[3]

Find the value of $h$ in this question.

(i(b))[1]

Find the kinetic energy of the particle immediately before it reaches the ground.

(i(c))[2]

Find the ratio $v_G : v_B$ in this situation.

(ii)[3]

Find the value of $H$ correct to $2$ significant figures, given that $v_G : v_B = 2.55$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: The PE loss is $0.2g(3 - h)$

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