Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.4\,\text{kg}$ is tied to a fixed point $O$ by a light elastic string whose natural length is $0.5\,\text{m}$ and whose modulus of elasticity is $20\,\text{N}$. $P$ is released from rest at $O$.
(i)[4]

Determine the greatest speed reached by $P$ during the subsequent motion.

(ii)[3]

Find the distance below $O$ of the point where $P$ is momentarily at rest.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Using $T = \dfrac{\lambda x}{L}$, obtain $\dfrac{20e}{0.5} = 0.4g$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI