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21 October, 14:21

The kinetic energy of a baseball is doubled by changing the speed of the baseball. By what factor has its speed changed? √ 2 v i n i t i a l 2 vinitial 2 v i n i t i a l 2vinitial 4 v i n i t i a l 4vinitial 1 2 v i n i t i a l 12vinitial 1 4 v i n i t i a l

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  1. 21 October, 14:33
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    1/√2

    Explanation:

    Kinetic energy of a body is expressed as

    KE = 1/2mv²

    If it's KE is doubled

    2KE = 1/2mv1² where v1 is the new speed when the kinetic energy is doubled

    To know the value of the amount the velocity has changed, we will divide both equations

    2KE/KE = (1/2mv²) / (1/2mv1²)

    2 = v²/v1²

    (v/v1) ² = 2

    v/v1 = √2

    v1 = v/√2

    v1 = 1/√2 * v

    The new velocity has changed by

    1/√2vinitial
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