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.
Find the resultant of the three forces.
Find the magnitude of the acceleration of the particle.
Find the angle between the acceleration and the direction of i\mathbf{i}i.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.