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AP EAMCET202423 May 2024Morning ShiftPhysicsLaws of MotionActual

A particle of mass ' m ' at rest on a rough horizontal surface with a coefficient of friction ' ' is given a velocity ' u '. The average power impaired by friction before it stops

Options

  1. AZero
  2. B1 2 m g u
  3. Cm g u
  4. D2 m g u

Correct answer

B. 1 2 m g u

Step-by-step solution

Acceleration of block, aligned & a= -f_r m = - m g m & a=- m aligned Time to stop, t = u - a = m g By work - energy theorem, W _ f = k =0- 1 2 mu ^2=- 1 2 mu ^2 Power, P _ ar = | W _ f | t = 1 2 mu ^2 u g = 1 2 mgu

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