ar weighing 1880 kilograms is traveling at a speed of 15 meters per second on a curve that forms a circular arc. The centripetal force F that pushes the car outward is inversely proportional to the lus r (measured in meters) of the curve. (a) If the curve has a radius of 80 meters, then the force required to keep the car from skidding is 2700 newtons. Write an equation that expresses the inverse proportionality. (b) The car will skid if the centripetal force is greater than the frictional force holding the tires to the road. For this road the maximum frictional force is 8370 newtons. What is the radius of the tightest curve the car can maneuver before it starts slipping? (Round your answer to one decimal place.) m r=

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Points] DETAILS
MY NOTES ASK YOUR TEACHER
car weighing 1000 kilograms is traveling at a speed of 15 meters per second on a curve that forms a circular arc. The centripetal force F that pushes the car outward is inversely proportional to the
dius r (measured in meters) of the curve.
SCOLALGCC1 6.5.032.
(a) If the curve has radius of 80 meters, then the force required to keep the car from skidding is 2700 newtons. Write an equation that expresses the inverse proportionality.
(b) The car will skid if the centripetal force is greater than the frictional force holding the tires to the road. For this road the maximum frictional force is 8370 newtons. What is the radius of the
tightest curve the car can maneuver before it starts slipping? (Round your answer to one decimal place.)
r =
m
Transcribed Image Text:Points] DETAILS MY NOTES ASK YOUR TEACHER car weighing 1000 kilograms is traveling at a speed of 15 meters per second on a curve that forms a circular arc. The centripetal force F that pushes the car outward is inversely proportional to the dius r (measured in meters) of the curve. SCOLALGCC1 6.5.032. (a) If the curve has radius of 80 meters, then the force required to keep the car from skidding is 2700 newtons. Write an equation that expresses the inverse proportionality. (b) The car will skid if the centripetal force is greater than the frictional force holding the tires to the road. For this road the maximum frictional force is 8370 newtons. What is the radius of the tightest curve the car can maneuver before it starts slipping? (Round your answer to one decimal place.) r = m
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