A tugboat is towing a supply barge across a lake at a constant velocity. The two vessels are connected by a horizontal cable in which there is a tension of T T\,T newtons.
The engines of the tugboat exert a constant forward thrust of 14,400 N14{,}400 \text{ N}14,400 N.
The water resistance (drag) acting on the barge is 5,850 N5{,}850 \text{ N}5,850 N.
State the value of TTT, providing a physical reason for your answer.
State one assumption you have made about the cable in your model.
Determine the magnitude of the resistive drag force acting specifically on the tugboat.
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.