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?

Question

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?

Answer 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.