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.
7 exam-style questions on OCR (MEI) A Level Maths 3.4.9 Equations for a particle in equilibrium (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.