A particle is moving across a perfectly smooth horizontal surface at a constant velocity. It is acted upon by exactly two constant horizontal forces.
The first force is F1=(250i−120j) N\mathbf{F}_1 = (250\mathbf{i} - 120\mathbf{j})\text{ N}F1=(250i−120j) N.
The second force is F2=(ki+120j) N\mathbf{F}_2 = (k\mathbf{i} + 120\mathbf{j})\text{ N}F2=(ki+120j) N.
Find the value of kkk.
Select your answer from the following:
−250-250−250
−130-130−130
130130130
250250250
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.