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JEE Main2005PhysicsWork, Power and EnergyActual

A spherical ball of mass 20 ~kg is stationary at the top of a hill of height 100 ~m . It rolls down a smooth surface to the ground, then climbs up another hill of height 30 ~m and finally rolls down to a horizontal base at a height of 20 ~m above the ground. The velocity attained by the ball is

Options

  1. A40 ~m / s
  2. B20 ~m / s
  3. C10 ~m / s
  4. D10 30 ~m / s

Correct answer

A. 40 ~m / s

Step-by-step solution

mgh =1 / 2 mv ^2 v = 2 gh = 2 10 80 =40 ~m / s

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