Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.4\,\text{kg}$ is connected to a fixed point $A$ by a light inextensible string of length $0.5\,\text{m}$. The point $A$ is $0.3\,\text{m}$ above a smooth horizontal surface. The particle $P$ moves round a horizontal circle on the surface at constant angular speed $5\,\text{rad s}^{-1}$.
(i)[3]

Calculate the string tension.

(ii)[2]

Find the magnitude of the force exerted by the surface on $P$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: $r=0.4\,\text{m}$

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