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| Secure | https Mastering hysics Collsions (Ch 9-Google Chome Secure https//session masteringphys ssignmentProblemiD-93827997 Collisions (Ch 9) 20 Problem 9.31 mic Shudy Mod Anairtrack cart with mass r», 0.32 kr and ital speed tO-0.85 m/scoldes with and sids to , second car tut b atiet illy Area se Matenals Part A I the mass of the second cart is 0.52 kg, how much kinetic energy lis lost as a result of the collsion? Express your answer to two significant figuees and include appropriate units ? Value Units Provide Feedback

Explanation / Answer

In inelastic collision

Using momentum conservation

Pi = Pf

m1v1 + m2v2 = M*V

m1 = 0.32 kg, m2 = 0.52 kg

M = m1+ m2 = 0.32 + 0.52 = 0.84 kg

v1 = 0.85 m/sec

v2 = 0 m/sec

0.32*0.85 + 0.52*0 = 0.84*V

V = 0.32*0.85/0.84 = 0.3238 m/sec

Now loss in KE will be

dKE = KEi - KEf

dKE = 0.5*m1*v1^2 + 0.5*m2*v2^2 - 0.5*M*V^2

dKE = 0.5*0.32*0.85^2 + 0.5*0.52*0^2 - 0.5*0.84*0.3238^2

dKE = 0.07156 J = 7.2*10^-2 J

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