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
55 exam-style questions on Edexcel A Level Maths Applications of Forces, covering 7.1 Static Particles, 7.2 Modelling with Statics, 7.3 Friction and Static Particles, 7.4 Static Rigid Bodies, 7.5 Dynamics and Inclined Planes, and 7.6 Connected Particles 2. Each one has a worked solution and a mark scheme showing where the marks go.