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=(3i−2j)F_1 = (3\mathbf{i} - 2\mathbf{j})F1=(3i−2j) 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 value of ppp.
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.