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26 March, 04:45

You have a mass of 60-kg, and you are facing your friend who has a mass of 100 kg. You skate towards

each other fast, and after you collide you both come perfectly to rest. If your friend had an initial

velocity of 3 m/s, what must have been your initial velocity?

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Answers (1)
  1. 26 March, 04:50
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    Answer: My initial velocity is 5 m/s.

    Explanation:

    In this case, momentum can be conserved.

    initial momentum = final momentum

    Since both the bodies come to rest after collision,

    Final momentum = 0

    Let my velocity be v, and mass, m1 = 60 kg

    Friend's mass, m2 = 100 kg

    Friend's velocity, v2 = 3 m/s

    Intial momentum = m1v + m2v2

    = 60v + 300

    Conserving momentum,

    60v + 300 = 0

    v = - 5 m/s

    (Negative sign indicates that me and my friend are moving in opposite directions that is towards each other)
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