You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Nowell, with mass 80.0 kg, is given a push and slides eastward. Allyzza, with mass 50.0 kg, is sent sliding northward. They collide, and after the collision Nowell is moving at 37.0° degrees north of east with a speed of 6.00 m/s and Allyzza is moving at 23.0° degrees south of east with a speed of 9.00 m/s. A. What was the speed of each person before the collision?  B. By how much did the total kinetic energy of the two people decrease during the collision?

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Nowell, with mass 80.0 kg, is given a push and slides eastward. Allyzza, with mass 50.0 kg, is sent sliding northward. They collide, and after the collision Nowell is moving at 37.0° degrees north of east with a speed of 6.00 m/s and Allyzza is moving at 23.0° degrees south of east with a speed of
9.00 m/s.

A. What was the speed of each person before the collision? 

B. By how much did the total kinetic energy of the two people decrease during the collision?

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