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My No 1. -2 points YF14 8 P022. When cars are equipped with flexible bumpers, th

ID: 1790466 • Letter: M

Question

My No 1. -2 points YF14 8 P022. When cars are equipped with flexible bumpers, they will bounce off each other during low-speed collisions, thus causing less damage. In one such accident, a 1815-kg car traveling to the right at 1.63 m/s collides with a 1310-kg car going to the left at 1.05 m/s. Measurements show that the heavier car's speed just after the collision was 0.245 m/s in its original direction. You can ignore any road friction during the colision. (a) What was the speed of the lighter car just after the collision? m/s (b) Calculate the change in the combined kinetic energy of the two-car system during this collision.

Explanation / Answer

a)

By conservation of momentum

Pi=Pf

1815*1.63+1310*(-1.05)=1815*0.245+1310*V

V=0.869 m/s

b)

Initial Kinetic energy

Ki=(1/2)*1815*1.632+(1/2)*1310*(-1.05)2=3133.3 J

final Kinetic energy

Kf=(1/2)*1815*0.2452+(1/2)*1310*0.8692=549 J

dK=3133.3-549=2584.3 J

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