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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.