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28 July, 12:50

You are pulling your little sister on her sled across an icy (frictionless) surface. When you exert a constant horizontal force of 120 N, the sled has an acceleration of 2.3 m/s2. Part A If the sled has a mass of 8.0 kg, what is the mass of your little sister

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  1. 28 July, 13:18
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    Mass of Little Sister = 44.17 kg

    Explanation:

    From Newton's second law of motion, the magnitude of force applied on the sled is given by the following formula:

    F = ma

    where,

    F = Force Applied = 120 N

    a = Acceleration = 2.3 m/s²

    m = Mass of Sled + Mass of Little Sister = 8 kg + Mass of Little Sister

    Therefore,

    120 N = (2.3 m/s²) (8 kg + Mass of Little Sister)

    (120 N) / (2.3 m/s²) = 8 kg + Mass of Little Sister

    Mass of Little Sister = 52.17 kg - 8 kg

    Mass of Little Sister = 44.17 kg
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