Mathematics 9709 · AS & A Level · Newton's laws of motion

Newton's laws of motion — practice question

Particles $A$ and $B$, with masses $0.35\,\text{kg}$ and $0.15\,\text{kg}$ respectively, are fixed to the ends of a light inextensible string that runs over a fixed smooth pulley. The system is initially at rest, with $B$ resting on the horizontal floor, the string taut and its straight sections vertical. $A$ is $1.6\,\text{m}$ above the floor (see diagram). $B$ is then released and the system starts to move; $B$ does not reach the pulley.
(i)[4]

Find the acceleration of the particles and the tension in the string before $A$ reaches the floor.

(ii)[3]

Find the greatest height above the floor attained by $B$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply Newton’s second law to either mass, e.g. $m_Ag-m_Bg=(m_A+m_B)a$

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