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2.8 Forces and Newton's laws

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Question 6

Two forces F1\mathbf{F}_1F1​ and F2\mathbf{F}_2F2​ act on a particle of mass 4 kg.

It is given that F1=(5i−2j)\mathbf{F}_1 = (5\mathbf{i} - 2\mathbf{j})F1​=(5i−2j) N and F2=(ai+bj)\mathbf{F}_2 = (a\mathbf{i} + b\mathbf{j})F2​=(ai+bj) N, where a a\,a and b b\,b are constants.

The particle has acceleration (2i+3j)(2\mathbf{i} + 3\mathbf{j})(2i+3j) m s−2^{-2}−2.

a.

Find the value of a a\,a and the value of bbb.

[4]
b.

Find the magnitude of F2\mathbf{F}_2F2​.

[1]
Markscheme

2.8 Forces and Newton's laws Questions

  1. A Level
  2. /Maths
  3. /2.8 Forces and Newton's laws

35 exam-style questions on WJEC A Level Maths 2.8 Forces and Newton's laws, covering 2.8.1 Forces and Newton's laws, 2.8.2 Forces and Newton's laws, 2.8.3 Forces and Newton's laws, 2.8.4 Forces and Newton's laws, 2.8.5 Forces and Newton's laws, and 2.8.6 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.

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