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21 June, 15:30

A moving object has a kinetic energy of 150 j and a momentum with a magnitude of 30.0 kg•m/s. determine the mass and speed of the object

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  1. 21 June, 18:05
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    To determine the answer to this item, we use two (2) equations.

    Equation for kinetic energy:

    KE = 0.5 mv²

    Equation for momentum:

    P = mv

    From the second equation, we can deduced that,

    m = P/v

    Substituting the known values from the given above,

    m = 30/v

    Using this expression in the first equation,

    KE = 0.5 mv²; 150 = 0.5 (30/v) (v²)

    The value of v from the equation is 10 m/s.

    The mass is therefore calculated as such,

    m = 30/v = 30/10 = 3 kg

    Hence, the answers are,

    Mass = 3 kg

    Velocity = 10 m/s
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