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14 July, 07:22

The speed of the fastest pitched baseball was 45 m/s, and the ball's mass was 145 g. How fast would a 59 g ball have to travel to have the same amount of momentum?

110 m/s

75 m/s

87 m/s

100 m/s

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Answers (1)
  1. 14 July, 10:02
    0
    59 g ball will travel upto 110 m/s

    A. 110 m/s

    Explanation:

    Given datas are as follows

    Speed of the pitched baseball = 45 meters/second

    Mass of the baseball = 145 gram

    Mass of the assumed ball = 59 gram

    Both the balls travelled in the same momentum

    Formula to find the momentum of an object is,

    Momentum (p) = Mass (m) * velocity (v) (unit is kilogram meter per second (kg-m/s))

    Momentum = 145 * 45 kilogram meter per second

    Momentum = 6525 kilogram meter per second

    Now calculate the speed of a ball with mass 59 g to have the momentum of about 6525 kilogram meter per second

    Speed = momentum : mass (meters per second)

    Speed = 6525 : 59 (meters per second)

    Speed = 110 meters per second

    Therefore a 59 gram (g) ball have to travel at a speed of 110 meters per second to have the momentum of 6525 kilogram-meter per second.
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