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You and your friends are doing physics experiments on a frozen pond that serves as a...

You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Sam, with mass 80.0 kg , is given a push and slides eastward. Abigail, with mass 52.0 kg , is sent sliding northward. They collide, and after the collision Sam is moving at 37.0 ∘ north of east with a speed of 6.80 m/s and Abigail is moving at 25.0 ∘ south of east with a speed of 10.0 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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