physics

Body A of mass M has an original velocity of 6.2 m/s in the +x-direction toward a stationary body (body B) of the same mass. After the collision, body A has velocity components of 1.1 m/s in the +x-direction and 2.2 m/s in the +y-direction. What is the magnitude of body B's velocity after the collision?

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  1. Momentum must be conserved.
    Let M be the mass of either A or B.

    The total momentum in the y direction must remain zero, therefore
    Vyb(final) = -2.2 m/s

    In the x-direction,
    6.2 M = 1.1 M + M*Vyx(final)
    Vyb(final) = 5.1

    Get the magnitude and direction from those components.

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