You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Sam, with mass 78.0 kg , is given a push and slides eastward. Abigail, with mass 58.0 kg , is sent sliding northward. They collide, and after the collision Sam is moving at 40.0 ∘ north of east with a speed of 6.20 m/s and Abigail is moving at 21.0 ∘ south of east with a speed of 8.20 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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