Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

$ABC$ is a vertical cross-section of a surface. The section of the surface that contains $AB$ is smooth, and $A$ lies $4\,\text{m}$ above $B$. The section of the surface that contains $BC$ is horizontal, and $BC$ has length $5\,\text{m}$ (see diagram). A particle of mass $0.8\,\text{kg}$ is released from rest at $A$ and moves along $ABC$. Find the speed of the particle at $C$ in each of the following cases.
(i)[3]

The horizontal section of the surface is smooth.

(ii)[3]

The coefficient of friction between the particle and the horizontal section of the surface is $0.3$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Potential energy at $A$: $0.8g\times4$

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