In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 284 kg and moves with speed v = 16.68 m/s. The loop-the-loop has a radius of R = 11.8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) N Submit 2) What is the magnitude of the normal force on the car when it is at the side of the circle (moving vertically upward)? N Submit 3) What is the magnitude of the normal force on the car when it is at the top of the circle? wÍ Submit 4) Compare the magnitude of the cars acceleration at each of the above locations: O abottom = aside = atop O abottom < aside atop O abottom > aside > atop Submit 5) What is the minimum speed of the car so that it stays in contact with the track at the top of the loop? m/s Submit

In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 284 kg and moves with speed v = 16.68 m/s. The loop-the-loop has a radius of R = 11.8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) N Submit 2) What is the magnitude of the normal force on the car when it is at the side of the circle (moving vertically upward)? N Submit 3) What is the magnitude of the normal force on the car when it is at the top of the circle? wÍ Submit 4) Compare the magnitude of the cars acceleration at each of the above locations: O abottom = aside = atop O abottom < aside atop O abottom > aside > atop Submit 5) What is the minimum speed of the car so that it stays in contact with the track at the top of the loop? m/s Submit

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 73PQ: A car is driving around a flat, circularly curved road with a radius of 5.00 102 m. The mass of the...

See similar textbooks

Similar questions

A car is driving around a flat, circularly curved road with a radius of 5.00 102 m. The mass of the car is 1500 kg, and the coefficient of static friction between its tires and the road is 0.30. a. Using the work of Example 6.7 (pages 202203), what is the maximum speed the car can have without slipping? b. What is the magnitude of the centripetal force on the car if it were to travel at the maximum speed around the track?
A small car with mass of 0.800 kg travels at a constant speed on the inside of a track that is a vertical circle with radius 5.00 m. If the normal force exerted by the track on the car when it is at the bottom of the track is 25 N, a) What is the normal force on the car when it is at the (i) top, (ii) rightmost and (iii) leftmost point of the track? b) What is the speed of the car as it travels around the vertical circle?
A 51.5-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The initial height of the car is h = 3.80R. (a) What is the speed of the car at the top of the vertical loop? (Use the following as necessary: R and g.) (b) What is the magnitude of the normal force acting on the car at the top of the vertical loop?
The pilot of an airplane executes a loop-the-loop maneuver in a vertical circle. The speed of the airplane is 330 mi/h, at the top of the loop and 450 mi/h at the bottom, and the radius of the circle is 1 230 ft. Note: His apparent weight is equal to the magnitude of the force exerted by the seat on his body. (a) What is the pilot's apparent weight at the lowest point if his true weight is 160 lb?(b) What is the magnitude of his apparent weight at the highest point? lb
A body of mass 8 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 10 seconds. At the time t=0, the body is at the rightmost point of the circle.A. Compute the centripetal force acting on the body at time t.⟨, ⟩B. Compute the magnitude of that force. HINT. Start with finding the angular velocity w [rad/s] of the body (the rate of change of its polar angle w.r.t. the center of rotation).Then find the position vector r→(t) of the body at time t.Then find its acceleration vector a→(t) at time t.Then use Newton's 2nd law to find the centripetal force F→(t).
A stunt pilot in an air show performs a loop-the-loop in a vertical circle of radius 2.87 X 103 m. During this performance the pilot whose weight is 821N, maintains a constant speed of 2.10 x 102 m/s. (a) When the pilot is at the highest point of the loop determine his apparent weight. N (b) At what speed will the pilot experience weightlessness? m/s (c) When the pilot is at the lowest point of the loop determine his apparent weight. N
A car of mass m passes over a hump in a road that follows the arc of a circle of radius R. (a) If the car travels at a speed v, what force does the road exert on the car as the car passes the highest point of the hump? (b) What If? What is the maximum speed the car can have without losing contact with the road as it passes this highest point?
A 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?
A roller-coaster car of mass 330 kg (including passengers) travels around a horizontal curve of radius 44.7 m. Its speed is 10.0 m/s. A) What is the direction of the total force exerted on the car by the track? Enter a positive angle if the direction is above horizontal and a negative answer if the direction is below horizontal. in degrees B) If the track is frictionless, then what banking angle would ensure that the car does not slide off of the track? (The banking angle is the angle between the direction normal to the track and the vertical.) in degrees
A car of mass m passes over a hump in a road that follows the arc of a circle of radius R as shown. (a) If the car travels at a speed υ, what force does the road exert on the car as the car passes the highest point of the hump? (b) What If? What is the maximum speed the car can have without losing contact with the road as it passes this highest point?
A stunt pilot in an air show performs a loop-the-loop in a vertical circle of radius 2.87x103 m. During this performance the pilot whose weight is 821 N, maintains a constant speed of 2.10x102 m/s. (a) When the pilot is at the highest point of the loop determine his apparent weight. N (b) At what speed will the pilot experience weightlessness? m/s (c) When the pilot is at the lowest point of the loop determine his apparent weight. N
The pilot of an airplane executes a constant-speed loop-the-loop maneuver in avertical circle as in Figure 7.13b. The speed of the airplane is 2.00 × 102 m/s, and theradius of the circle is 3.20 × 103 m. (a) What is the pilot's apparent weight at the lowestpoint of the circle if his true weight is 712 N? (b) What is his apparent weight at thehighest point of the circle? (c) Describe how the pilot could experience weightlessnessif both the radius and the speed can be varied. Note: His apparent weight is equal tothe magnitude of the force exerted by the scat on his body. Under what conditionsdoes this occur? (d) What speed would have resulted in the pilot experiencingweightlessness at the top of the loop?