Concept explainers
A spoils car is advertised to have a maximum cornering acceleration of 0.85 g.
(a) What is the maximum speed that the car can go around a curve with a 100-m radius?
(b) What is its maximum speed for a 50-m radius curve?
(c) If wet pavement reduces its maximum cornering acceleration to 0.6 g, what do the answers to (a) and (b) become?
(a)
Maximum speed of car around curve of radius 100m.
Answer to Problem 4C
Maximum speed of car around the curve of radius
Explanation of Solution
Given:
Formula used:
Acceleration is given by the formula,
Calculation:
We have value for a, now using formula,
Conclusion:
The maximum speed of car on the curve of
(b)
The speed of a car around a curve of
Answer to Problem 4C
The speed of car around a curve of
Explanation of Solution
Given:
Formula used:
Calculation:
Using the same formula above
Conclusion:
The speed of the car on a curve of
(c)
The speed of a car around a curve of
Answer to Problem 4C
The speed of car around a curve of
The speed of car around the curve of
Explanation of Solution
Given:
Calculation:
Similarly as above,
When r = 100m.
Now, when r = 50m.
Conclusion:
Want to see more full solutions like this?
Chapter 1 Solutions
Inquiry into Physics
- An Aston Martin V8 Vantage sports car has a "lateral acceleration" of 8 m/s?. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 43 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?arrow_forwardA pilot can withstand an acceleration of up to 9g, which is about 88 m/s2, before blacking out. What is the acceleration experienced by a pilot flying in a circle of constant radius at a constant speed of 525 m/s if the radius of the circle is 2510 m?arrow_forwardThe earth has a radius of 6380 km and turns around once on its axis in 24 hours. (a) What is the centripetal acceleration of an object at the earth's equator? Give your answer in m/s and as a fraction of g. (b) If the centripetal acceleration of at the equator is greater than g, objects would fly off the earth's surface and into space. What would the period of the earth's rotation to start this fly off?arrow_forward
- Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is designed so that the smallest circular curve he can take has a radius of 112m and the biggest circular curve he can take has a radius of 165m. The height of the outer wall of the track is 18m. The race is happening after a snow storm, so he is assuming there is no friction. What is the fastest speed he can safely take this corner?arrow_forwardA car traveling at 20 m/sm/s runs out of gas while traveling up a 9.0 degree slope. How far will it coast before starting to roll back down? Express your answer in meters.arrow_forwardDuring an Olympic bobsled run, the Jamaican team makes a turn of radius 7.8 m at a speed of 94.8 km/h. What is their acceleration in g? Submit Answerarrow_forward
- An Indianapolis 500 race car takes a 350 m radius curve at 80 m/s. (a) What centripetal acceleration is needed to follow the curve? (b) How many g’s is this?arrow_forwardA car is traveling south at 30 km/h. it rounds a curve, and 6 s later it is traveling west at 30 km/h. the magnitude of the average acceleration of the car is: (the answer is 7.1 km/h s ) I have the answer, but PLEASE show how to get it in step by step detail/explain how ( it's an exam review question but I don't know why that's the answer)arrow_forwardWhen you put water in a kitchen blender, it begins to travel in a 5 cm radius circle at a speed of 1 m/s. How quickly is the water accelerating?arrow_forward
- To Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can accelerate at 8.0 m/s², what should the minimum length of the ramp be? (report your answer in meters) Your Answer: Answerarrow_forwardAn Aston Martin V8 Vantage sports car has a "lateral acceleration" of 5m/s². This is the maximum centripetal acceleration the car can sustain without skidding out of a curve path. If the car is traveling at a constant 45m/s on level ground, what is the radius R of the tightest unbanked curved it can negotiate?arrow_forwardTo withstand "g-forces" of up to 10 g's, caused by suddenly pulling out of a steep dive, fighter jet pilots train on a "human centrifuge." 10 g's is an acceleration of 98 m/s². If the length of the centrifuge arm is 15.0 m, at what speed is the rider moving when she experiences 10 g's? Express your answer with the appropriate units.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON