A high-precision maglev puck is gliding across a frictionless experimental surface at a constant velocity. It is subject to exactly two constant horizontal magnetic forces, F1\mathbf{F}_1F1 and F2\mathbf{F}_2F2.
The first force is F1=(105.4i−62.75j) N\mathbf{F}_1 = (105.4\mathbf{i} - 62.75\mathbf{j})\text{ N}F1=(105.4i−62.75j) N.
The second force is F2=(ki+62.75j) N\mathbf{F}_2 = (k\mathbf{i} + 62.75\mathbf{j})\text{ N}F2=(ki+62.75j) N.
Determine the value of kkk.
Select your answer from the following:
-105.4
-62.75
62.75
105.4
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.