Two forces F1\mathbf{F}_1F1 and F2\mathbf{F}_2F2 act on a particle. Their resultant is parallel to i+j\mathbf{i} + \mathbf{j}i+j.
It is given that F1=(3i−2j)\mathbf{F}_1 = (3\mathbf{i} - 2\mathbf{j})F1=(3i−2j) N and F2=(pi+2pj)\mathbf{F}_2 = (p\mathbf{i} + 2p\mathbf{j})F2=(pi+2pj) N, where p p\,p is a positive constant.
Find the value of ppp.
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.