Skip to content

Course home

2.3 Forces and Newton's laws

2.3 Forces and Newton's laws

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question 15

A box C C\,C of mass 3 kg is held at rest on a rough surface inclined at an angle α \alpha\,α to the horizontal, where cos⁡α=0.8\cos \alpha = 0.8cosα=0.8. It is connected to a box D D\,D of mass 7 kg by a light inextensible string passing over a smooth pulley. D D\,D hangs vertically. The string is parallel to the slope. The coefficient of friction between C C\,C and the plane is 0.25. The system is released from rest.

a.

Find the tension in the string as the boxes accelerate.

[7]
b.

Once D D\,D reaches the floor, C C\,C continues to move up the plane until it stops. Determine whether box C C\,C will remain at rest in its highest position.

[2]
c.

Suggest two refinements to the model that would make it more realistic.

[2]
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