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2 Unit 2: Applied Mathematics A

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Question 81

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 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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