(i)[1]
Find the radius of the circle.
(ii)[4]
Find the modulus of elasticity of the string.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ of mass $0.2\,\mathrm{kg}$ travels with speed $4\,\mathrm{m\,s^{-1}}$ and angular speed $5\,\mathrm{rad\,s^{-1}}$ in a horizontal circle on a smooth surface. $P$ is connected to one end of a light elastic string of natural length $0.6\,\mathrm{m}$. The other end of the string is fixed to the point on the surface that is the centre of the circular motion of $P$.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies $v = r\omega$ and gets $r = 0.8\,\text{m}$ from $4 = 5r$” …
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