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17 August, 00:46

15. A volleyball player who weighs 650 Newtons jumps 0.500 meters vertically off the floor. What is her kinetic energy just before hitting the floor?

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  1. 17 August, 00:59
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    Kinetic energy just before hitting the floor is 324.57 J

    Explanation:

    Weight of volleyball player = 650 N

    That is

    Mass x Acceleration due to gravity = 650

    Mass x 9.81 = 650

    Mass = 66.26 kg

    We also have equation of motion v² = u² + 2as

    Initial velocity, u = 0 m/s

    Acceleration, a = 9.81 m/s²

    Final velocity, v = ?

    Displacement, s = 0.5 m

    Substituting

    v² = u² + 2as

    v² = 0² + 2 x 9.81 x 0.5

    v = 3.13 m/s

    Velocity with which he lands on ground is 3.13 m/s

    We have kinetic energy = 0.5 x Mass x Velocity²

    Substituting

    Kinetic energy = 0.5 x 66.26 x 3.13²

    Kinetic energy = 324.57 J

    Kinetic energy just before hitting the floor is 324.57 J
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