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JEE Main2016PhysicsWork, Power and EnergyActual

A car of weight W is on an inclined road that rises by 100 m over a distance of 1km and applies a constant frictional force W 20 on the car. While moving uphill on the road at a speed of 10 m s - 1 , the car needs power P. If it needs power P 2 while moving downhill at speed υ then value of υ is:

Options

  1. A20 m s - 1
  2. B5 m s - 1
  3. C15 m s - 1
  4. D10 m s - 1

Correct answer

C. 15 m s - 1

Step-by-step solution

P = w sin ⁡ θ + w 20 10 P = w 10 + w 20 10 = 3 w 2 P 2 = 3 w 4 = w 10 - w 20 v 3 4 = v 20 15 m / s = v

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