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24 October, 20:06

A baseball has a mass of about 155 g. What is the magnitude of the momentum of a baseball thrown at a speed of 87 miles per hour? (Note that you need to convert mass to kilograms and speed to meters/second. A mile is 1.6 kilometers or 1600 meters.)

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  1. 24 October, 20:10
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    5.994 kgm/s

    Explanation:

    Momentum: This can be defined as the product of the mass of a body to the velocity of that body. The S. I unit of momentum is kgm/s.

    Mathematically, momentum can be expressed as,

    M = mv ... Equation 1

    Where M = momentum of the baseball, m = mass of the baseball, v = velocity of the baseball.

    Given: m = 155 g = (155/1000) kg = 0.155 kg. v = 87 miles per hour = 87 (1600/3600) m/s = 38.67 m/s.

    Substituting into equation 1

    M = 0.155 (38.67)

    M = 5.994 kgm/s.

    Thus the momentum of the baseball = 5.994 kgm/s
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