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How do I calculate power when mass, velocity, and time are given?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

This calculation involves kinetic energy and depends on whether the object is accelerating or moving at constant velocity.

For constant velocity (no acceleration): If an object moves at constant velocity, power depends on the force opposing motion (like friction).

For changing velocity (acceleration):

Power = (½ × m × v²) / t

Or more accurately: P = F × v where F = ma (force needed for acceleration)

Example: A 1,000 kg car accelerates from 0 to 20 m/s in 10 seconds:

  • Change in kinetic energy = ½ × 1,000 × 20² = 200,000 joules
  • Average power = 200,000 / 10 = 20,000 watts = 20 kW
General · Class 12