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29 August, 17:24

Railroad car A rolls at a certain speed and makes a perfectly elastic collision with car B of the same mass. After the collision, car A is observed to be at rest. How does the speed of car B compare with the initial speed of car A?

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  1. 29 August, 17:45
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    The speed of the car B after the collision is same as the speed of the car A before collision.

    Explanation:

    lets take the mass of the car A = m kg

    Initial speed of the car A = u m/s

    The mass of the car B = m kg

    Initial speed of the car A = 0 m/s

    The final speed of the car A = 0 m/s

    The final speed of the car B = v

    There is no any external force on the masses that is why the linear momentum will be conserve.

    Initial linear momentum = Final linear momentum

    P = mass x velocity

    m u + m x 0 = m x 0 + m v

    m u + 0 = 0 + m v

    m u = m v

    v = u

    Therefore we can say that, the speed of the car B after the collision is same as the speed of the car A before collision.
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