EBK PHYSICS FUNDAMENTALS
2nd Edition
ISBN: 9780100265493
Author: Coletta
Publisher: YUZU
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Chapter 5, Problem 54P
To determine
To ascertain: If it would be better to try to stop a car heading towards a cliff by travelling straight ahead or by trying to turn the car towards one side, assuming that the coefficient of static friction is same in either case.
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A 3,000-kg truck leaves a freeway on a circular exit of radius 50 m at a speed of 15 m/s. What minimum coefficient of static friction between the tires and the road is required to keep the truck on the exit ramp without sliding?
A cat dozes on a stationary merry-go-round, at a radius of 5.40 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper tuning rate of one complete revolution every 6.00 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place when it is to the right of the center of the ride, without sliding?
The directions of the three forces and the acceleration must be identified.
Make a free-body diagram. Please use the blue vector to specify forces and the pink vector for acceleration. Assume that the center of rotation is to the left.
DO NOT forget to label each vectors with none, mg, T, a, or FN
A cat dozes on a stationary merry-go-round in an amusement park, at a radius of 5.4 m from the center of the ride.Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.0 s.What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding (or the cat clinging with its claws)?
Chapter 5 Solutions
EBK PHYSICS FUNDAMENTALS
Ch. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9QCh. 5 - Prob. 10Q
Ch. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55P
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- Calculate the smallest radius of a curve that one can safely navigate at normal highway speeds (30 [m/s]) in slightly less than ideal conditions where the coefficient of static friction between the rubber and pavement is 0.50.arrow_forwardA racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars racein circles that are parallel to the ground. For a speed of 34.0 m/s, at what value of the distance d shoulda driver locate his car if he wishes to stay on a circular path without depending on friction? Include anFBD of the car along with the components of the relevant forcearrow_forwarda vehicle with a mass of 2.5x10^3 kg is driving at a speed of 56 km/h around a level roadway with a curvature radius of 60 meters, just staying on the roadway (i.s., driving at the maximum safe speed for this turn and the tire treads). what is the coefficient of friction between the tires and the road?arrow_forward
- Is it safe to drive your 1600-kg car at speed 27 m/s around a level highway curve of radius 150 m if the effective coefficient of static friction between the car and the road is 0.40?arrow_forwardAt what maximum speed can a car exit onto a 40-m-radius circular freeway ramp without sliding if the coefficient of static friction between the tires of the car and the road is 0.90?arrow_forwardA car travels at a constant speed of 25.5 mi/h (11.4 m/s) on a level circular turn of radius 43.0 m, as shown in the bird's-eye view in figure a. What minimum coefficient of static friction, ?s, between the tires and the roadway will allow the car to make the circular turn without sliding?arrow_forward
- A cat dozes on a stationary merry-go-round, at a radius of 5.40 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper tuning rate of one complete revolution every 6.00 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place when it is to the right of the center of the ride, without sliding? The three forces acting on the cat must be identified. Which forces act on the cat? Gravitational force Static frictional force Tension Kinetic frictional force Normal forcearrow_forwardA race car travels 76 m/s around a circulartrack of radius 159 m What is the magnitude of the resultantforce on the 1600 kg driver and his car ifthe car does not slip?Answer in units of kN.arrow_forwardA car is travelling at 25m/s around a level curve of radius 120m. What is the minimum value of the coefficient of static friction between the tires and the road to prevent the car from skidding?arrow_forward
- The curved section of a horizontal highway is a circular unbanked arc of radius 520 m. If the coefficient of static friction between this roadway and typical tires is 0.30, what would be the maximum safe driving speed for this horizontal curved section of highway?arrow_forwardA car is traveling around a circular portion of road banked at an incline of 35 degrees to the horizonal. If the radius ofthe turn is 100 m and the coefficient of static friction is 0.60A) What is the minimum speed the car can take the turn without losing traction?B) At what speed would the static friction be zero?arrow_forwardA given highway turn has a 105 km/h speed limit and a radius of curvature of 1.4 km a. What banking angle in degrees will prevent cars from sliding off the road, assuming everyone travels at the speed limit and there is no friction present?arrow_forward
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