Three ice skaters meet at the center of a rink and each stands 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 = 75.0 kg moves in the negative y-direction at 4.00 m/s and skater B with mass mB = 70.0 kg moves in the negative x-direction at 2.00 m/s. Find the x- and y-components of the 85.0 kg skater C's velocity (in m/s) after the push.
Initially the three skaters were at rest, the initial momentum of the system of three skaters is zero.
After the push skater, the momentum of skater A is
After the push skater, the momentum of skater B is
The final momentum of the skater C is
The total final momentum of the system is
By the conservation of momentum
x-component is 1.65m/s, and y-component is 3.53m/s.
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