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## Homework Statement

Two ice skaters crash into each other. Before they collide, one of them (50 kg) is skating in a straight line at 5 m/s, the other (40 kg) is skating at 4 m/s in a straight line at 90 degrees to the 50 kg skater’s direction. After the collision, the 50 kg skater is moving at 4 m/s at an angle of 25 degrees relative to their original direction. Calculate the velocity of the 40 kg skater after the collision. Is the total kinetic energy constant?

## Homework Equations

m

_{1}v

_{1ix}+m

_{2}v

_{2ix}=m

_{1}v

_{1fx}+m

_{2}v

_{2fx}

m

_{1}v

_{1iy}+m

_{2}v

_{2iy}=m

_{1}v

_{1fy}+m

_{2}v

_{2fy}

## The Attempt at a Solution

I drew a diagram before collision and after collision. Really, all I need to know is where in the formula(s) would I need to include the angle and I SHOULD be able to figure it out from there.