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2 April, 01:24

During an in-class demonstration of momentum change and impulse, Mr. H asks Jerome (102 kg) and Michael (98 kg) to sit on a large 14-kg skate cart. Mr. H asks Suzie (44 kg) to sit on a second 14-kg skate cart. The two carts are placed on low friction boards in the hallway. Jerome pushes off of Suzie's cart. Measurements are made to determine that Suzie's cart acquired a post-impulse speed of 9.6 m/s. Determine the expected recoil speed of Jerome and Michael's cart.

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  1. 2 April, 01:38
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    2.6 m/s

    Explanation:

    mass of Jerome (Mj) = 102 kg

    mass of Micheal (Mm) = 98 kg

    mass of each cart (Mc) = 14 kg

    recoil speed of Jerone and Micheal after push (Vi) = ?

    mass of Suzie (Ms) = 44 kg

    Suzie's speed after push (Vs) = 9.6 m/s

    From the conservation of momentum, initial momentum = final momentum

    Since they all are initially at rest the initial momentum is 0 and hence the final momentum is also 0.

    Therefore for the final momentum we have

    (Mj + Mm + Mc) Vi - (Ms + Mc) Vs = 0 (the negative sign is because they move in opposite directions)

    ((102 + 98 + 14) x Vi) - ((44 + 14) x 9.6) = 0

    (214 x Vi) - (58 x 9.6) = 0

    214 Vi = 556.8

    Vi = 556.8 / 214 = 2.6 m/s
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