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31 July, 07:18

A 10 g toy car moving to the right at 20 cm/s has a head-on nearly elastic collision with a 24 g toy car moving in the opposite direction at 35 cm/s. After colliding, the 10 g car moves with a velocity of 58 cm/s to the left. Find the speed of the second car after the collision. Answer in units of cm/s.

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  1. 31 July, 11:15
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    v' = - 2.5 cm/s

    Explanation:

    given,

    mass of toy car, m = 10 g

    speed of right, u = 20 cm/s

    mass of toy car, M = 24 g

    speed opposite, u' = 35 cm/s

    after collision

    10 g car moves to left, v = 58 cm/s

    v' = ?

    using conservation of momentum

    m u + M u' = m v + M v'

    10 x 20 - 24 x 35 = - 10 x 58 + 24 x v'

    24 x v' = - 60

    v' = - 2.5 cm/s

    speed of second car after collision = - 2.5 cm/s
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