(i)[2]
Determine the extension of the string when $P$ is in the equilibrium position.
(ii(a))[2]
Calculate the height of $P$ above the ground at the moment the string snaps.
(ii(b))[4]
Determine the speed of $P$ just before it reaches the ground.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ of mass $0.3\,\text{kg}$ is connected to one end of a light elastic string of natural length $0.9\,\text{m}$ and modulus of elasticity $18\,\text{N}$. The other end of the string is secured to a fixed point $O$, which is $3\,\text{m}$ above the ground.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “From $T = \dfrac{\lambda x}{l}$, use $0.3g = \dfrac{18e}{0.9}$” …
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