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2 Unit 2: Applied Mathematics A

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Question 11
56%

A car is towing a trailer along a straight horizontal road by means of a horizontal tow-rope. The mass of the car is 1400 kg. The mass of the trailer is 700 kg. The car and the trailer are modelled as particles and the tow-rope as a light inextensible string. The resistances to motion of the car and the trailer are assumed to be constant and of magnitude 630 N and 280 N respectively. The driving force on the car, due to its engine, is 2380 N.

a.

Find the acceleration of the car.

[3]
b.

Find the tension in the tow-rope.

[3]
c.

State how you have used the assumption that the car and trailer are modelled as particles.

[1]
d.

When the car and trailer are moving at 12 m s-1, the tow-rope breaks. Assuming that the driving force on the car and the resistances to motion are unchanged, find the distance moved by the car in the first 4 s after the tow-rope breaks.

[6]
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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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