Power of engine at given speed

A question is this type if and only if it requires calculating the power output of an engine using P = Fv where F is the driving force and v is the instantaneous speed.

1 questions · Moderate -0.8

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CAIE M1 2020 June Q2
5 marks Moderate -0.8
A car of mass \(1800\text{ kg}\) is towing a trailer of mass \(400\text{ kg}\) along a straight horizontal road. The car and trailer are connected by a light rigid tow-bar. The car is accelerating at \(1.5\text{ m s}^{-2}\). There are constant resistance forces of \(250\text{ N}\) on the car and \(100\text{ N}\) on the trailer.
  1. Find the tension in the tow-bar. [2]
  2. Find the power of the engine of the car at the instant when the speed is \(20\text{ m s}^{-1}\). [3]