(i)[2]
Find the particle's speed at $B$.
(ii)[2]
Given that the particle reaches $C$ with a speed of $5\,\text{m s}^{-1}$, determine the work done against the resistance to motion as the particle moves from $B$ to $C$.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
The sketch represents the vertical cross-section $ABC$ of a fixed surface. $AB$ is curved, while $BC$ is a horizontal straight segment. The section of the surface containing $AB$ is smooth, whereas the part containing $BC$ is rough. $A$ is $1.8\,\text{m}$ above $BC$. A particle of mass $0.5\,\text{kg}$ is released from rest at $A$ and moves along the surface to $C$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply $\tfrac12 v^2 = mgh$ or an equivalent expression, e.g. $\tfrac12 v^2 = 10 \times 1.8$” …
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