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Question

A truck weighing 50 kg changes its speed from 10 ms1 to 40 ms1 in 2 minutes. Find the power of its engine.


  1. 625 W

  2. 312.5 W

  3. 1250 W

  4. 937.5 W


Solution

The correct option is B

312.5 W


Mass of the truck, m = 50 kg
Initial speed, u = 10 ms1
Final speed, v = 40 ms1
Time taken, t = 2 minutes = 2×60=120 s
We know that Kinetic energy = mv22
Initial kinetic energy = mu22=5×10×102= 2500 J
Final kinetic energy =mv22=5×40×402 = 40,000 J
Change in kinetic energy = 40000 J - 2500 J= 37500 J
Power of the engine = rate of change of energy = change in energytime taken = 37500120 = 312.5 W

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