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23 May, 00:39

50 kg grandma is roller skating down the sidewalk at 2 m/s. Suddenly, someone throws her a 10 kg sack of oranges. How fast does she travel afterwards? (Inelastic)

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  1. 23 May, 02:41
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    v2 = 1.67m/s

    she will travel at 1.67m/s afterwards

    Explanation:

    Given;

    Mass of grandma m1 = 50kg

    Mass of sack m2 = 10kg

    Initial speed of grandma v1 = 2m/s

    Final velocity of both = v2

    The momentum equation of the initial and final momentum can be written as;

    m1v1 = m1v2 + m2v2 = (m1+m2) v2

    (Since the collision is inelastic they both move at the same velocity v2 after the collision)

    making v2 the subject of formula;

    v2 = (m1v1) / (m1+m2)

    Substituting the values;

    v2 = (50*2) / (50+10)

    v2 = 1.67m/s

    she will travel at 1.67m/s afterwards
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