Skip to content

Course home

Sign up

2.3 Forces and Newton's laws

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455
Question 20

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.

Two particles PPP, of mass 4 kg, and QQQ, of mass 5 kg, are connected by a light inextensible string passing over a smooth pulley fixed at the top of a rough plane inclined at an angle θ \theta\,θ to the horizontal, where cos⁡θ=0.8\cos\theta = 0.8cosθ=0.8.

P P\,P lies at rest on the plane with the string parallel to a line of greatest slope, and Q Q\,Q hangs freely 2 m above the ground with the string taut. The coefficient of friction between P P\,P and the plane is 0.2.

Figure for question 7

The system is released from rest. Assume that Q Q\,Q reaches the ground before P P\,P reaches the pulley.

Find the speed at which Q Q\,Q hits the ground.

[6]
Markscheme

2.3 Forces and Newton's laws Questions

  1. A Level
  2. /Maths
  3. /2.3 Forces and Newton's laws

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.

Question bank