The resultant of two forces F1 F_1\,F1 and F2 F_2\,F2 is (i−14j)(\mathbf{i} - 14\mathbf{j})(i−14j) N. Given that F1=(2pi−4qj)F_1 = (2p\mathbf{i} - 4q\mathbf{j})F1=(2pi−4qj) N and F2=(3qi+4pj)F_2 = (3q\mathbf{i} + 4p\mathbf{j})F2=(3qi+4pj) N find the values of p p\,p and qqq.
Find the values of p p\,p and qqq.
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.