Two blocks X X\,X and YYY, of mass 2 kg and 4 kg respectively, are connected by a light inextensible string. The string passes over a smooth pulley at the peak of a rough inclined roof. The roof is inclined at an angle β \beta\,β where cosβ=1213\displaystyle \cos \beta = \frac{12}{13}cosβ=1312. Block X X\,X is on the roof and Y Y\,Y hangs vertically at a height of 2.5 m above the ground. The coefficient of friction between X X\,X and the roof is 0.1. The system is released from rest. Given that Y Y\,Y hits the ground before X X\,X reaches the pulley.
Find the speed of block Y Y\,Y at the instant it hits the ground.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.