A particle A A\,A of mass 5 kg rests on a smooth horizontal table. Particle A A\,A is attached to one end of a light inextensible string which passes over a smooth pulley fixed to the edge of the table. The other end of the string is attached to particle B B\,B of mass 4 kg which hangs freely below the pulley 1.4 m above the ground. The system is released from rest with the string taut. Particle A A\,A does not reach the pulley before B B\,B reaches the ground.
Find the tension in the string before B B\,B hits the ground.
Find the time taken by B B\,B to reach the ground.
Practise Edexcel A Level Maths Forces and Motion with exam-style questions for A Level Maths. 15 questions covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.
