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 kg , is given a push and slides eastward. Abigail, with mass 60.0 kg , is sent sliding northward. They collide, and after the collision Sam is moving at 40.0 degree north of east with a speed of 6.60 m/s and Abigail is moving at 20.0 degree south of east with a speed of 9.80m/s . 1. Abigail's speed: 2. By how much did the total kinetic energy of the two people decrease during the collision?

Explanation / Answer

Let the Sam speed =Vs & Abigails speed =Va Now 80x Vs = 6.6cos40 x80+9.80xcos20x60 Vs= 11.96 m/s Again 60Va = 6.6sin40x80 -60x9.80sin20 Va = 2.3m/s Initial Energy = 5721.664+158.7 =5880.364 J Final Energy =1742.4+2881.2 =4623.6 J Loss In KE = 1256.764 J

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