Question 38
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2
Two particles A A\,A and BBB, of masses 4 kg and 6 kg respectively, are connected by a light inextensible string passing over a smooth fixed pulley.
The particles hang freely with the string vertical on both sides of the pulley.
The system is released from rest with the string taut, with A A\,A resting on horizontal ground and B B\,B hanging 2 metres above the ground, as shown in the diagram below.
a.[4]
Find the speed of B B\,B at the instant it reaches the ground.
b.[2]
After B B\,B reaches the ground, A A\,A continues to move upwards freely. Find the further height risen by A A\,A before it comes to instantaneous rest.
3.3 R: Forces and Newton's laws Questions
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.