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A uniform solid ball has a mass of 20 g and a radius of 5 cm....

  1. A uniform solid ball has a mass of 20 g and a radius of 5 cm. It rests on a horizontal surface. A sharp force is applied to the ball in the horizontal direction 9 cm above the surface. The force rises linearly from 0 to a peak value of 40,000 N in 10^-4 s and then decreases linearly to 0 in another 10^-4 s. (The moment of inertia for a solid ball is (2/5)mr^2 )
  1. What is the velocity of the ball after the impact?
  2. What is the angular velocity of the ball after the impact?
  3. What is the velocity of the ball when it begins to roll without sliding. (This means v=Rw).
  4. For how long does the ball slide on the surface given the coefficient of kinetic friction uk=0.5.
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