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A major league baseball has a mass of 0.145 kg.

1)
Neglecting the effects of air resistance, determine the momentum of the ball when it hits the ground if it falls from rest on the roof of the Metrodome in Minneapolis, Minnesota, a height of 58.0 m. (Express your answer to three significant figures.)

Respuesta :

The momentum of the ball when it hits the ground is 4.89 kg.m/s.

The given parameters;

  • mass of the baseball, m = 0.145 kg
  • height of fall of the ball, h = 58 m

The final velocity of the ball when it hits the ground is calculated as follows;

[tex]v_f ^2 = v_0^2 + 2gh\\\\v_f^2 = 0 + 2gh\\\\v_f^2 = 2gh\\\\v_f = \sqrt{2gh} \\\\v_f = \sqrt{2\times 9.8 \times 58}\\\\v_f = 33.72 \ m/s[/tex]

The momentum of the ball when it hits the ground is calculated as follows;

P = mv

P = 0.145 x 33.72

P = 4.89 kg.m/s

Thus, the momentum of the ball when it hits the ground is 4.89 kg.m/s.

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