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2 Unit 2: Applied Mathematics A

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Question 93

Three forces F1\mathbf{F}_1F1​, F2\mathbf{F}_2F2​ and F3\mathbf{F}_3F3​ act on a particle of mass 2 kg.

It is given that F1=(3i+4j)\mathbf{F}_1 = (3\mathbf{i} + 4\mathbf{j})F1​=(3i+4j) N, F2=(ki−2j)\mathbf{F}_2 = (k\mathbf{i} - 2\mathbf{j})F2​=(ki−2j) N and F3=(−5i+6j)\mathbf{F}_3 = (-5\mathbf{i} + 6\mathbf{j})F3​=(−5i+6j) N, where k k\,k is a constant.

The acceleration of the particle is in the direction of the vector i+2j\mathbf{i} + 2\mathbf{j}i+2j.

a.

Find the value of kkk.

[3]
b.

Find the exact magnitude of the acceleration of the particle.

[2]
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2 Unit 2: Applied Mathematics A Questions

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

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