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23 Nov 2019

A car is traveling around a circular, banked track without friction. It is initially traveling around the bottom of the ramp (on the ground) where the inner radius of track is 300 meters. The car then increases its velocity by a factor of 1.8. If the inclination angle is 13 degrees, what is the height (vertical distance above the ground) the car is traveling at this new velocity. Answer in meters.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. An object of mass 19 kg is placed on incline with friction.The incline is originally horizontal and then raised slowly and at21 degrees, the mass begins to slide down the incline. It is foundthat the coefficient of kinetic friction is 0.79 times thecoefficient of static friction. If the same object (same mass) isplaced on the same incline with an inclination angle of 42.2degrees (the mass will slide down the incline at this angle), whatis the magnitude of the acceleration on the mass in m/s2?
2. A mass enters the bottom of a 50 degree incline with acoefficient of kinetic friction of 0.6. At the bottom of theincline the mass is moving at 33 m/s and is moving up the incline.After the mass has traveled, 25 meters up the incline, what is themagnitude of its velocity in m/s?
3. A car is traveling around a circular, banked track withoutfriction. It is initially traveling around the bottom of the ramp(on the ground) where the inner radius of track is 351 meters. Thecar then increases its velocity by a factor of 1.7. If theinclination angle is 10 degrees, what is the height (verticaldistance above the ground) the car is traveling at this newvelocity. Answer in meters.
4. An yo-yo with a mass of 2.4 kg is swung in a vertical circle. Itis found that the string breaks at 228 Newtons. If its the yo-yo'sspeed is a constant and is the maximum speed the yo-yo can movebefore the string breaks, what is the the tension in the string atthe top of the circle in Newtons?
5. A roller coaster cart of mass 15.8 kg travels on the inside of aroller coaster track in a loop of radius 23.1 meters. The circle isa vertical circle similar to the yo-yo example done in class. Ifthe cart travels at a constant speed around the track and the valueof this speed is the minimum speed such that cart does not fall offthe track at the top of the track, was is the magnitude of thenormal force on the cart at the bottom of the track in Newtons?

A car of mass 2000kg is driving around a circular track of radius 75m. The driving surface is banked so the car may move at a greater velocity. Its angle is 30 degrees and its surface has a coefficient of static friction of 0.3. Draw the force diagram of the car on the track. Derive the equations for the minimum velocity and maximum velocity for the car. And then determine the numeric solutions for those equations. How do these values changes if the angle becomes zero?

You have a car traveling on a circular track of radius r and avelocity v. The
track is banked at an inclination of angle . The coefficient ofstatic friction
is µs. Gravity is 10m
s2 . In each of the following 5 situations, does the car:
• A. Fly off the top of the track.
• B. Slide down and off the bottom of the track.
• C. None of the above.

1. = 45?, r = 1000m, v = 90m
s , µs = 0.5
2. = 20?, r = 1000m, v = 90m
s , µs = 0.2
3. = 70?, r = 800m, v = 200m
s , µs = 0.7
4. = 30?, r = 800m, v = 5m
s , µs = 0.3
5. = 30?, r = 800m, v = 78m
s , µs = 0.3
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