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
Lecture- Tutorials for Introductory Astronomy
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Physics: Principles with Applications
Sears And Zemansky's University Physics With Modern Physics
Tutorials in Introductory Physics
Conceptual Physics (12th Edition)
- Modern roller coasters have vertical loops like the one shown. 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. 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?arrow_forwardAs a roller coaster car crosses the top of a 40-m-diameter loop-the-loop, its apparent weight is the same as its true weight. What is the car’s speed at the top?arrow_forwardA 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_forward
- A roller-coaster car with mass 840 kg is launched from a huge spring with k = 31 kN/m into a frictionless loop-the-loop track of radius 6.2 m, as shown below. If the spring is compressed a distance of 2.869 m, what is the magnitude of the car's velocity at the top of the loop? Answer: What is the magnitude of the car's centripetal acceleration when the car is at the top of the loop? Answer:arrow_forward7:31 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_forwardA 2 m rope attaches a tire to an overhanging tree limb. A boy swinging on the tire has a tangential speed of 2.2 m/s. If the magnitude of the centripetal force is 90 N; what is the boy mass?arrow_forward
- How much force does the seat push up on a 80kg pilot as he pulls out of a vertical loop of radius 310 meters at a speed of 97m/s?arrow_forward8:37 ull LTE 1 Safari 9. A student is riding on a carousel at a speed of 4.0 m/s. If the Carousel has a radius of 5.0 m and the centripetal force is 240 N, what is the student's mass? 10. A 25 kg girl sitting on a carousel is moving at a speed of 4.0 m/s. If the girl is 5.0 m from the axis of the carousel, what is the centripetal force that maintains her circular motion? 11. A NASCAR driver weighing 75 kg enters a corner with a radius of 155 m with a speed of 125 m/s. What is the centripetal force that maintains his circular motion? 12. A girl sits on a tire swing that is attached with a rone that is 2.10 m in length. Her dad pushes her with a of 2.5 m/s. If the centripetal force is 88.0 N, what girl's mass?arrow_forwardA wind turbine has 12,000 kg blades that are 38 m long. The blades spin at 22 rpm. If we model a blade as a point mass at the midpoint of the blade, what is the inward force necessary to provide each blade’s centripetal acceleration?arrow_forward
- Modern 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_forwardA 1400 kg car drives at 27 m/s over a circular hill that has a radius of 430 m. At the point shown, what is the normal force on the car?arrow_forwardA tetherball is a type of vertical pendulum where the ball swings freely in a horizontal circle around the pole to which it is tied (see figure). Assume the cord is frictionless where it attaches to the pole and ignore air resistance. If the ball has a mass of 0.26 kg and is moving in a circle with a radius of 1.3 m and a speed of 8.2 m/s, what is the size of the centripetal force?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