Respuesta :

Explanation:

Work = change in energy

W = ½ mv²

W = ½ (0.14 kg) (42.5 m/s)²

W ≈ 130 J

The work done on the ball by the pitcher during the given time is 126.44 J.

The given parameters;

  • mass of the ball, a = 0.14 kg
  • initial velocity of the ball, u = 0
  • final velocity of the ball, v = 42.5 m/s
  • time of motion of the ball, t = 0.06 s

The work done on the ball by the pitcher is determined by applying work-energy theorem;

W = ΔK.E

where;

  • W is the work done
  • ΔK.E is change in kinetic energy

[tex]W = \frac{1}{2} m(v^2 - u^2)\\\\W = \frac{1}{2} \times 0.14 \times (42.5^2)\\\\W = 126.44 \ J[/tex]

Thus, the work done on the ball by the pitcher is 126.44 J.

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