Concept explainers
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
(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.
Trending nowThis is a popular solution!
Chapter 6 Solutions
College Physics
Additional Science Textbook Solutions
Biology: Life on Earth (11th Edition)
Anatomy & Physiology (6th Edition)
Campbell Biology (11th Edition)
Human Physiology: An Integrated Approach (8th Edition)
Introductory Chemistry (6th Edition)
Organic Chemistry (8th Edition)
- A mother pushes her child on a swing so that his speed is 9.1 m/s at the lowest point of his path. The swing is attached to a point 2.1 m above the child's center of mass when the swing is motionless. (A) What is the centripetal acceleration of the child at the low point in m/s²? (B) What is the magnitude of the forest that the child exerts on the seat at the lowest point if his mass is 18.5 kg in N?arrow_forward7arrow_forwardLuther is designing a roller coaster for an amusement park. At one point, the roller coaster will enter a horizontal loop at a speed of 31.8 m/s. If Luther does not want the centripetal acceleration to exceed 29.0 m/s2, what is the minimum radius of the horizontal loop?arrow_forward
- 7:31 l LTE 4 1 Safari A 3500 g car enters a curve with a radius of 45 cm. If the car is moving at a speed of 25 m/s, what is the centripetal force that maintains the car's circular motion through the curve? Draw a motion diagram for a roller coaster traveling in a loop. A pilot is flying a small plane at 8o.0 m/s in a circular path with a radius of 1000 cm. If a centripetal force of 500 N is needed to maintain the pilot's circular motion, what is the pilot's mass?arrow_forwardModern 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 1.50 × 103 kg .arrow_forward7:31 l LTE 4 1 Safari A Ferris wheel is traveling at a constant speed in a counter-clockwise direction as shown in the diagram. The people at location P are accelerating which direction? D A) A В) В C) C D) D A 35 kg girl sitting on a Ferris wheel is moving at a speed of 8.0 m/s. If the girl is 15.0 m from the axis of the carousel, what is the centripetal force that maintains her circular motion? A 25 kg girl sitting on a carousel is moving at a speed of 4.0 m/s. If the centripetal force acting on the girl is 45 N how far from the axis of the carousel is she sitting?arrow_forward
- A mother pushes her child on a swing so that his speed is 9.7 m/s at the lowest point of his path. The swing is attached to a point 2.05 m above the child’s center of mass when the swing is motionless.What is the centripetal acceleration of the child at the low point in m/s2? ac = 45.89 But what is the magnitude of the force that the child exerts on the seat at the lowest point if his mass is 19.5 kg in N? Fc =arrow_forwardModern roller coasters have vertical loops like the one shown in the figure. 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.arrow_forwardA roller-coaster car has a mass of 500 kg when fully loaded with passengers. At the bottom of a circular dip of radius 40 m (as shown in the figure) the car has a speed of 16 m/s. What is the magnitude of the force of the track on the car at the bottom of the dip? 40 m 160 m/sarrow_forward
- A roller coaster contains a loop-the-loop in which the car and rider are completely upside down at the top of the loop. The radius of the loop is 16 m. What minimum speed (in m/s) must the car have at the top so that the rider does not fall out while upside down? Assume the rider is not strapped to the car. 12.53 m/s. What is the magnitude of the normal force at the top of the loop? What is the magnitude of the normal force at the bottom of the loop?arrow_forwardA new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 16.4 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car. orrect Answer O 12.7 m/s 14.0 m/s 10.1 m/s 14.9 m/s EPIC GARES IIarrow_forwardA rollercoaster car has a speed of 55 kph (kilometers per hour) as it reaches the top of a circular loop of radius 20m. What is the centripetal acceleration of the car? State in words what the centripetal force is?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