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2 Unit 2: Applied Mathematics A

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Question 137

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.

a.

State the value of TTT, providing a physical reason for your answer.

[2]
b.

State one assumption you have made about the cable in your model.

[1]
c.

Determine the magnitude of the resistive drag force acting specifically on the tugboat.

[2]
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2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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