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a boy throws a ball of mass 0.25 kg straight up with an initial speed of 20. m/s. when the ball returns, it hits his hands at the same height with an impact velocity of 17 m/s. how much work does air resistance do on the ball during the flight?



Answer :

The work done by air resistance is 13.785 Joules on the ball during the flight.

What is velocity and air resistance and how is it calculated?

  1. Velocity is the vector quantity representing the displacement per unit time of the body under motion.
  2. Air resistance is the resistance offered  by the air on the falling ball from some height.
  3. Here in the question is given the mass = 0.25 kg , speed = 20m/s and the return velocity = 17 m/s .
  4. Work done by air resistance = 1/2 x 0.25 x 20 x 20 - 1/2 x 0.25 x 17 x 17 = 13.875 Joules.
  5. Hence the work done by the air resistance would be 13.875 Joules on the ball during the fall.

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