A car is travelling around a circular track of radius 100 m at a constant speed of 70 km/h. 1200 kg is the mass of the car. a) What is the centripetal acceleration? b) What is the magnitude of the centripetal force? r=100 m c) What type of force makes the car travel in a circle if the track is a level surface? A BC d) If the car were to hit ice and stay on ice so that u = 0.00 which of the three paths pictured at the right would the car immediately begin to follow? e) If the track were to be banked to 21° the car would be able to navigate the curve with only two forces (see the diagram at the left). What supplies the centripetal force in this case? f) Which would be larger the gravitational force or the normal force? g) If there was no friction and the car speed up to 90 km/h on the banked track what would happen to the car? h) If there was no friction and the car slowed down to 50 km/h on the banked track what would happen to the car? i) In order to navigate the banked track at a speed other than 70 km/h then friction must also be used. Which of the following two diagrams would represent the car taking the curve at 90 km/h? Diagram A Diagram B r=100 m

A car is travelling around a circular track of radius 100 m at a constant speed of 70 km/h. 1200 kg is the mass of the car. a) What is the centripetal acceleration? b) What is the magnitude of the centripetal force? r=100 m c) What type of force makes the car travel in a circle if the track is a level surface? A BC d) If the car were to hit ice and stay on ice so that u = 0.00 which of the three paths pictured at the right would the car immediately begin to follow? e) If the track were to be banked to 21° the car would be able to navigate the curve with only two forces (see the diagram at the left). What supplies the centripetal force in this case? f) Which would be larger the gravitational force or the normal force? g) If there was no friction and the car speed up to 90 km/h on the banked track what would happen to the car? h) If there was no friction and the car slowed down to 50 km/h on the banked track what would happen to the car? i) In order to navigate the banked track at a speed other than 70 km/h then friction must also be used. Which of the following two diagrams would represent the car taking the curve at 90 km/h? Diagram A Diagram B r=100 m

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 29P: A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates...

See similar textbooks

Similar questions

Modem roller coasters have vertical loops like the one shown here. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. (a) What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g ? (b) How high above the top of the loop must the roller coaster start from rest, assuming negligible friction? (c) If it actually starts 5.00 m higher than your answer to (b), how much energy did it lose to friction? Its mass is 1.50103kg .
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.00 rev/s when the length of the chain is 6.600 m. When be increases the length to 0.900 m, he is able to rotate the ball only 6.00 rev/s. (a) Which rate of rotation gives the greater speed for the ball? (b) What is the centripetal acceleration of the ball at 8.00 rev/s? (c) What is the centripetal acceleration at 6.00 rev/s?
An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration? (c) If the maximum tension the rope can withstand before breaking is 100. N, what is the maximum tangential speed the ball can have?
A number of amusement parks have rides that make loops like the one shown in Figure 6.33. For safety, the cars are attached to the rails in such a way cannot fall off. If the car goes over the top at just the right speed, gravity alone will supply the centripetal force. What other force acts and what is its direction if: (a) The car goes over the top at faster than this speed? (b) The car goes this speed? Figure 6.33 Amusement rides with a vertical loop are an example of a form of curved motion.
As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm, which then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.00g while in circular motion with radius 9.45 m.
A runner taking part in the 200-m dash must run around the end of a track that has a circular arc with a radius of curvature of 30.0 m. The runner starts the race at a constant speed. If she completes the 200-m dash in 23.2s and rum at constant speed throughout the race, what is her centripetal acceleration as she runs the curved portion of the track?
(a) What is the radius of a bobsled turn banked at 75.0° and taken at 30.0 m/s, assuming it is ideally banked? (b) Calculate the centripetal acceleration. (c) Does this acceleration seem large to you?
A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the magnitude of the cars centripetal acceleration. (b) What is the magnitude of the force of static friction acting on the car? (See Section 7.4.)
An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 6500 rev/min. (a) Calculate the magnitude of the centripetal acceleration at its edge in meters per second squared and convert it to multiples of g.
A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates an unbanked curve in the road that can be regarded as an arc of a circle of radius 62.0 m. While on the curve, the speed of the car is 15.0 m/s at the instant the briefcase starts to slide across the backseat toward the side of the car. (a) What force causes the centripetal acceleration of the briefcase when it is stationary relative to the car? Under what condition does the briefcase begin to move relative to the car? (b) What is the coefficient of static friction between the briefcase and seat surface?
A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates an unbanked curve in the road that can be regarded as an arc of a circle of radius 62.0 m. While on the curve, the speed of the car is 15.0 m/s at the instant the briefcase starts to slide across the backseat toward the side of the car. (a) What force causes the centripetal acceleration of the briefcase when it is stationary relative to the car? Under what condition does the briefcase begin to move relative to the car? (b) What is the coefficient of static friction between the briefcase and seat surface?
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 1.50 times that due to gravity?