The resultant of two forces F1 F_1\,F1 and F2 F_2\,F2 is parallel to i+j\mathbf{i} + \mathbf{j}i+j. Given that F1=(2i−j)F_1 = (2\mathbf{i} - \mathbf{j})F1=(2i−j) N and F2=(pi+2pj)F_2 = (p\mathbf{i} + 2p\mathbf{j})F2=(pi+2pj) N, where p p\,p is a positive constant.
Find the resultant of F1 F_1\,F1 and F2F_2F2.
Hence find the value of ppp.
182 exam-style questions on Edexcel A Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.