A car of mass m moves with a speed of Vo. The driver suddenly sees another car, of mass 3m, sitting at rest. The driver slams on the brakes. The coefficent of kinetic friction between the car and the road is μk. a) How far away must the second car be if the first car is to stop exactly in time to avoid hitting it? b) Suppose the car is a distance of d/2 away where d is the distance you found in part (a). Find the momentum of the car as it collides with the car at rest. c) Use conservation of momentum to calculate the speeds of both cars after the collision.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
Problem 75PQ
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A car of mass m moves with a speed of Vo. The driver suddenly sees another car, of mass 3m, sitting at rest. The driver slams on the brakes. The coefficent of kinetic friction between the car and the road is μk.

a) How far away must the second car be if the first car is to stop exactly in time to avoid hitting it?

b) Suppose the car is a distance of d/2 away where d is the distance you found in part (a). Find the momentum of the car as it collides with the car at rest.

c) Use conservation of momentum to calculate the speeds of both cars after the collision.

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