A boy of mass 50 Kg climbs 44 steps in 10 seconds. If the height of each ladder is 15 cm. Find its power. Given g = 10 ms–2

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RRC Group D Previous Paper 66 (Held On: 24 Oct 2018 Shift 2)
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  1. 337.5 ms
  2. 387.5 W
  3. 330 J
  4. 330 W

Answer (Detailed Solution Below)

Option 4 : 330 W
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 The correct answer is 330W.

Key Points

  • Given,
    • mass of body (m) = 50 kg
      h = 44×15 = 660 cm = 6.60 m
      t=10 s, g = 10 ms-2
      Potential energy = mgh
      = 50 × 10 × 6.60
      = 3300 W
    • \(Power = {Work done \over time}\)
    • \(= { 3300\over 10}\)
    • 330W

Additional Information

  • Potential Energy:
    • It is the energy possessed by a body by virtue of its position.
    • PE of a body in the gravitational field of the earth is mgh.
    • where m = mass, g = acceleration due to gravity, h = height of the body from the surface of the earth.
    • When a body is falling downwards, then its potential energy goes on changing to kinetic energy.
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