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 80.0 , is given a push and slides eastward. Abigail, with mass 56.0 , is sent sliding northward. They collide, and after the collision Sam is moving at 38.0 north of east with a speed of 6.20 and Abigail is moving at 21.0 south of east with a speed of 8.20 . Abigals speed= 2.51m/s sam's speed= 10.2m/s 1.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° + 51*9.4*cos15° (x direction) and 51*Via = 78*6.20*sin31° - 51*9.4*sin15° (y direction) A) Vis = 11.25 m/s B) Via = 2.45 m/s C) dKE = ½*78*(11.25² - 6.2²) + ½*51*(9.4² - 2.45²) = 5537 J

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