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.

2 questions · Moderate -1.0

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CAIE M1 2020 June Q2
4 marks Easy -1.2
2 A minibus of mass 4000 kg is travelling along a straight horizontal road. The resistance to motion is 900 N .
  1. Find the driving force when the acceleration of the minibus is \(0.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
  2. Find the power required for the minibus to maintain a constant speed of \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
CAIE M1 2011 June Q1
4 marks Moderate -0.8
1 A car of mass 700 kg is travelling along a straight horizontal road. The resistance to motion is constant and equal to 600 N .
  1. Find the driving force of the car's engine at an instant when the acceleration is \(2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
  2. Given that the car's speed at this instant is \(15 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), find the rate at which the car's engine is working.