A car of mass m negotiates a right hand 90° turn at constant speed v on a flat road such that the adius of the turn is given by r. The time the car takes to go around the turn is t. There is friction f between the tires and the road. The car makes the turn at high speed without doing into a skid slide). After the turn the car continues down the road at constant speed. A) Draw a free-body diagram which shows the forces acting on the car and the radius of the curve. Assume rolling friction and air drag are negligible (and that no propulsion force is required to maintain a constant speed). Include your coordinate axes. B) Use Newton's second law to write an equation for the resulting centripetal force. Solve this equation for centripetal force in terms of: the mass of the car m, the radius of the curve r, time to make the curve t, and any needed constants of proportionality. Simplify as possible. C) If the car makes the turn in 3.80 seconds and the right hand turn in the road has a radius of 45.7m, would a coefficient of static friction between the tires and the road is 0.90 be sufficient to keep the car on the road? Justify your result.

A car of mass m negotiates a right hand 90° turn at constant speed v on a flat road such that the adius of the turn is given by r. The time the car takes to go around the turn is t. There is friction f between the tires and the road. The car makes the turn at high speed without doing into a skid slide). After the turn the car continues down the road at constant speed. A) Draw a free-body diagram which shows the forces acting on the car and the radius of the curve. Assume rolling friction and air drag are negligible (and that no propulsion force is required to maintain a constant speed). Include your coordinate axes. B) Use Newton's second law to write an equation for the resulting centripetal force. Solve this equation for centripetal force in terms of: the mass of the car m, the radius of the curve r, time to make the curve t, and any needed constants of proportionality. Simplify as possible. C) If the car makes the turn in 3.80 seconds and the right hand turn in the road has a radius of 45.7m, would a coefficient of static friction between the tires and the road is 0.90 be sufficient to keep the car on the road? Justify your result.

Name: PLEASE ANSWER ALL PARTS ASAP!!!!!!! A car of mass m negotiates a right
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: PLEASE ANSWER ALL PARTS ASAP!!!!!!! A car of mass m negotiates a right hand 90° turn at constant speed v on a flat road such that theradius of the turn is given by r. The time the car takes to go around the turn is t. There is friction fbetween the t

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 77P: A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the...

See similar textbooks

Similar questions

What is the maximum speed at which a car can round a curve of 25m radius on a levelroad if the coefficient of static friction between the tires and the road is 0.8?
A 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.
How large must the coefficient of static friction be between the tires and the road , if a car is to round a level curve of radius 130 m at a speed of 114 km /h ?
Suppose that the highway is icy and the coefficient of friction between the tires and pavement is only one-third what you found in the previous part. What should be the maximum speed of the car so it can round the curve safely?
How large must the coefficient of static friction be between the tires and the road if a car is to round a level curve of radius 125 m at a speed of 95 km/h?
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?
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?
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 47 kg skier rolls off from a frictionless slope with an inclination of approximately 400. From the bottom of the slope, she slides at 25 m/s until she stops 12 seconds later. Find the coefficient of kinetic friction at which point from the foot of the slope is the skier’s speed half the original speed?
Find the angle of banking for a highway curve of 90 m radius for carstraveling at 128 Km/hr, if the coefficient of friction between the tires and the road surfaceis 0.40. What is the rated speed of the road?
A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car can traverse the curve without slipping?
In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 284 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?