5. An advertisement for my old 2005 Ford Focus claimed that the car could "stop on a dime." What net force would be required to stop a 850 kg automobile traveling initially at 65 km/h in a distance equal to the diameter of a dime, 1.8 cm?

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Chapter1: Units, Trigonometry. And Vectors
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5. An advertisement for my old 2005 Ford Focus claimed that the car could "stop on a
dime." What net force would be required to stop a 850 kg automobile traveling initially
at 65 km/h in a distance equal to the diameter of a dime, 1.8 cm?
Transcribed Image Text:5. An advertisement for my old 2005 Ford Focus claimed that the car could "stop on a dime." What net force would be required to stop a 850 kg automobile traveling initially at 65 km/h in a distance equal to the diameter of a dime, 1.8 cm?
Expert Solution
Step 1

In the given problem, the car is travelling at an initial speed of 65 km/h

v=65 km/hv=65×10003600v=18.06 m/s

Thus, the initial kinetic energy of this car is

Ki=12mv2Ki=12×850×(18.06)2 Ki=138619.53 J

As the car comes to a stop, the final kinetic energy of the car will go to zero, thus the change in the kinetic energy of the car as it comes to a stop is

K=-138619.53 J

 

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