A driver’s manual states that the stopping distance quadruples as the speed doubles; that is, if it takes 30 ft to stop a car moving at 25 mph, then it would take 120 ft to stop a car moving at 50 mph. Justify this statement by using mechanics and the first law of thermodynamics. [Assume that when a car is stopped, its kinetic energy ( 1 /2mu2) is totally converted to heat.]

University Physics Volume 2
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Chapter4: The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 23P: In performing 100.0 J of work, an engine discharges 50.0 J of heat. What is the efficiency of the...
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 A driver’s manual states that the stopping distance quadruples as the speed doubles; that is, if it takes 30 ft to stop a car moving at 25 mph, then it would take 120 ft

to stop a car moving at 50 mph. Justify this statement by

using mechanics and the first law of thermodynamics.

[Assume that when a car is stopped, its kinetic energy ( 1 /2mu2) is totally converted to heat.]

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