Solved: A drivers manual states that the stopping distance

Chapter 6, Problem 6.117

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A drivers 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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