Donte is ice skating due north on a frozen lake at a speed of 3 m/s when he collides with Rebecca who was skating due east at 4 m/s.  Donte's mass is 95 kg, and Rebecca’s mass is 80 kg. a)  At what speed and in what direction do they move after they collide if they stick together and move as one? b)  Was there any loss in energy when they collided?  If so, how much?

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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Donte is ice skating due north on a frozen lake at a speed of 3 m/s when he collides with Rebecca who was skating due east at 4 m/s.  Donte's mass is 95 kg, and Rebecca’s mass is 80 kg.

a)  At what speed and in what direction do they move after they collide if they stick together and move as one?

b)  Was there any loss in energy when they collided?  If so, how much?

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