Your friend’s car has broken down, so you volunteer to push it with your own car to the nearest repair shop, which is 2.0 km away. You carefully move your car so that the bumpers of the two cars are in contact. You then slowly accelerate to a speed of 2.5 m/s over the course of 1.0 min. The mass of your friend’s car is 1.2 x 10 ^3 kg. Assume negligible friction. a) Calculate the normal force between the two bumpers.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 84PQ

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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

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Your friend’s car has broken down, so you volunteer to push it with your own car to the nearest
repair shop, which is 2.0 km away. You carefully move your car so that the bumpers of the two cars
are in contact. You then slowly accelerate to a speed of 2.5 m/s over the course of 1.0 min. The mass
of your friend’s car is 1.2 x 10 ^3 kg. Assume negligible friction.
a) Calculate the normal force between the two bumpers.
b) You then maintain a speed of 2.5 m/s. How long does it take you to reach the repair shop?
c) Sketch the shape of a velocity time graph for the entire motion.
d) Sketch the shape of a position time graph for the entire motion.

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