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27 August, 22:58

An object with a mass of 49.9 pounds is moving with a uniform velocity of 54.4 miles per hour. Calculate the kinetic energy of this object in joules.

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  1. 28 August, 00:25
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    6698.03 J

    Explanation:

    Kinetic Energy: This is a form of mechanical energy that is due to a body in motion. The S. I unit of Kinetic Energy is Joules (J).

    The formula for kinetic energy is given as

    Ek = 1/2mv² ... Equation 1

    Where Ek = kinetic Energy, m = mass of the object, v = velocity of the object.

    Given: m = 49.9 pounds, v = 54.4 miles per hours.

    Firstly, we convert pounds to kilogram.

    If 1 pounds = 0.454 kg,

    Then, 49.9 pounds = (0.454*49.9) kg = 22.655 kg.

    Secondly, we convert miles per hours to meters per seconds.

    If 1 miles per hours = 0.447 meter per seconds,

    Then, 54.4 miles per hours = (0.447*54.4) = 24.3168 meters per seconds.

    Substitute the value of m and v into equation 1

    Ek = 1/2 (22.655) (24.3168) ²

    Ek = 6698.03 J.

    Thus the Kinetic energy of the object = 6698.03 J
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