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. The string makes an angle of $60^\circ$ to the vertical. $P$ travels at constant speed in a horizontal circle of radius $0.2\,\text{m}$. The centre of the circle lies vertically below $A$ (see diagram).
(i)[2]

Show that the tension in the string has magnitude $8\,\text{N}$.

(ii)[2]

Calculate the particle’s speed.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical resolution gives: $T\sin 30^\circ = 0.4g$

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