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
5 exam-style questions on OCR A Level Maths 3.3.14 Equilibrium of forces in two dimensions using vectors (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.