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

Question

You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Sam, with mass 80.0kg , is given a push and slides eastward. Abigail, with mass 57.0kg , is sent sliding northward. They collide, and after the collision Sam is moving at 33.0? north of east with a speed of 7.00m/s and Abigail is moving at 19.0? south of east with a speed of 8.20m/s .

1.What was the speed of each person before the collision?
Sam's speed:

2.Abigail's speed:

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

Explanation / Answer

Momentum is conserved in both the x & y directions:

78*Vis = 78*6.20*cos31

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