three cars collide simutaneously, while driving in a straight line. the lead car
ID: 1487334 • Letter: T
Question
three cars collide simutaneously, while driving in a straight line. the lead car has a mass if 1000 kg and velocity of +45.5 m/s, the middle car with a mass of 1100 kg and a velocity of +50.1 m/s, and the last car with a mass of 1300 kg and velocity of +55 m/s. during the collision, the car makes contact with each bumpers perfectly parallel. there is no rotational motion of the cars after impact, and each car is in the same lame. after impact the cars become disconnected. the lead car has a celocity of +60 m/s and the last car with 53 m/s.
A. what is the velocity of the middle car?
B. assiming frictionless travel of all cars and no momentum contribution from their engines, does the middle car experience secondary impact with any other car after the first three-car collision?
Explanation / Answer
momentum conservation
m1vi1 + m2vi2 + m3vi3 = m1vf1 + m2vf2 + m3vf3
1000*45 + 1100*50.1 + 1300*55 = 1000*60 + 1100*v + 1300*53
1100*v = 42710
v = 38.83 m/s
b)
YES, after the first three-car collision the middle car will experience secondary impact with last car with 53 m/s.
because last car velocity (+53) is greater than middle car (38.83)
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