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.
Find the value of kkk.
Find the exact magnitude of the acceleration of the particle.
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.