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3.3 R: Forces and Newton's laws

3.3 R: Forces and Newton's laws

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Question 28

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

A particle of mass 8 kg hangs in equilibrium under the action of three forces: its weight, a force of magnitude P P\,P newtons acting at 30° 30°\,30° above the horizontal, and a force of magnitude Q Q\,Q newtons acting at 60° 60°\,60° above the horizontal on the opposite side of the vertical.

a.

Find the value of P P\,P and the value of QQQ.

[6]
b.

Show that the two applied forces are perpendicular, and verify your answers to part (a) using this fact.

[2]
Markscheme

3.3 R: Forces and Newton's laws Questions

  1. A Level
  2. /Maths
  3. /3.3 R: Forces and Newton's laws

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.

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