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Three ice skaters meet at the center of a rink and each stand at rest facing...

Three ice skaters meet at the center of a rink and each stand at rest facing the center, within arm’s reach of the other two. On a signal, each skater pushes himself away from the other two across the frictionless ice. After the push, skater A with mass mA = 80.0 kg moves in the negative y-direction at 3.50 m/s and skater B with mass mB = 75.0 kg moves in the negative x-direction at 4.00 m/s. Find the x- and y-components of the 90.0-kg skater C’s velocity after the push.

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