An old phrase used to sell cars was that they could "stop on a dime," meaning they could stop before the car moved a distance equal to the diameter of a dime. a. To see if this is realistic, calculate the net force needed to stop a 490-kg car moving at 25 miles/hour in a distance of 1.8 cm (the diameter of a dime). b. Compare that force to the weight of the car. Are they even close to the same size? Based on your comparison, is "stopping on a dime" a reasonable claim, or is the force needed unreasonably large? c. Calculate how much time it would take the car to stop. Is this a reasonable time for a car moving at 25 mph to stop, based on your experience traveling in cars?

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Chapter1: Units, Trigonometry. And Vectors
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An old phrase used to sell cars was that they could "stop on a dime," meaning they could stop
before the car moved a distance equal to the diameter of a dime.
a. To see if this is realistic, calculate the net force needed to stop a 490-kg car moving at 25
miles/hour in a distance of 1.8 cm (the diameter of a dime).
b. Compare that force to the weight of the car. Are they even close to the same size? Based
on your comparison, is "stopping on a dime" a reasonable claim, or is the force needed
unreasonably large?
c. Calculate how much time it would take the car to stop. Is this a reasonable time for a car
moving at 25 mph to stop, based on your experience traveling in cars?
Transcribed Image Text:An old phrase used to sell cars was that they could "stop on a dime," meaning they could stop before the car moved a distance equal to the diameter of a dime. a. To see if this is realistic, calculate the net force needed to stop a 490-kg car moving at 25 miles/hour in a distance of 1.8 cm (the diameter of a dime). b. Compare that force to the weight of the car. Are they even close to the same size? Based on your comparison, is "stopping on a dime" a reasonable claim, or is the force needed unreasonably large? c. Calculate how much time it would take the car to stop. Is this a reasonable time for a car moving at 25 mph to stop, based on your experience traveling in cars?
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