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A car is driving on a flat curve with a radius of 50 $\mathrm{m}$ . If the coefficientof friction between the ground the car's tires is $0.8,$ what is themaximum speed of the car in order to make the curve without sliding?(A) 8 $\mathrm{m} / \mathrm{s}^{2}$(B) 12 $\mathrm{m} / \mathrm{s}^{2}$(C) 16 $\mathrm{m} / \mathrm{s}^{2}$(D) 20 $\mathrm{m} / \mathrm{s}^{2}$
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Chapter 4
Practice Test 4
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in order for a car to make a car without slipping the road should provide air Force off centripetal force in the far more frictional force. So if Caesar kel do if small lift um centripetal force, the friction will provide is m we squared, divided by our or is the radius off the car and centripetal force frictional forces friction coefficients times the normal force, which is energy, then canceling out m on both sides soldiering for we we get here, uh, squared off our new times. She then substituting their values, which is a 50 times, 0.8 times 10 and square root. This gives us the value off the speed of the car, which is 20 meter per second. So Option D is the right answer.
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