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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 38

Three forces act on a particle of mass 4 kg. The forces are (5i+2j)(5\mathbf{i} + 2\mathbf{j})(5i+2j) N, (−3i+7j)(-3\mathbf{i} + 7\mathbf{j})(−3i+7j) N and (2i−4j)(2\mathbf{i} - 4\mathbf{j})(2i−4j) N, where i\mathbf{i}i and j\mathbf{j}j are perpendicular unit vectors in a horizontal plane.

a.

Find the resultant of the three forces.

[2]
b.

Find the magnitude of the acceleration of the particle.

[2]
c.

Find the angle between the acceleration and the direction of i\mathbf{i}i.

[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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