(i)[4]
Calculate the magnitude of the force exerted by the surface on $P$, given that $v = 1.5$.
(ii)[3]
If instead $P$ travels at the greatest speed possible while still staying in contact with the surface, determine $v$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
One end of a light inextensible string of length $0.2\ \text{m}$ is fastened to a fixed point $A$, which is positioned above a smooth horizontal surface. A particle $P$ with mass $0.6\ \text{kg}$ is attached to the other end of the string. With the string taut and inclined at $30^\circ$ to the horizontal (see diagram), $P$ travels in a circle on the surface at constant speed $v\ \text{m s}^{-1}$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Sets up Newton’s second law in the horizontal direction: $0.6 \times 1.5^2 /(0.2\cos30^\circ) = T\cos30^\circ$” …
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