A ball A A\,A of mass 1.4 kg rests on a smooth horizontal table. Ball A A\,A is attached to one end of a rope which passes over a pulley fixed to the edge of the table. The other end of the rope is attached to ball B B\,B of mass 1.8 kg which hangs freely below the pulley. The system is released from rest with the string taut, with ball AAA 1.5 m from the pulley and ball BBB 0.6 m above the ground. Ball B B\,B descends, hits the floor and does not rebound. The balls are modelled as particles, the rope as a light inextensible string, and the pulley as small and smooth.
Find the acceleration of B B\,B as it falls.
Find the time taken for A A\,A to reach the pulley from the time the system was released.
State one limitation of the model that will affect your answer to part (a).
Forces and Motion Questions
Practise Edexcel AS Level Maths Forces and Motion with exam-style questions for AS Level Maths. 15 questions covering Force Diagrams, Forces as Vectors, Forces and Acceleration, Motion in 2 Dimensions, Connected Particles, and Pulleys, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.