Concept explainers
Variation in your apparent weight is desirable when you ride a roller coaster; it makes the ride fun. However, too much variation over a short period of time can be painful. For this reason, the loops of real roller coasters are not simply circles like Figure 6.16a. A typical loop is shown in Figure Q6.15. The radius of the circle that matches the track at the top of the loop is much smaller than that of a matching circle at other places on the track. Explain why this shape gives a more comfortable ride than a circular loop.
Figure Q6.15
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
College Physics: A Strategic Approach (3rd Edition)
Additional Science Textbook Solutions
College Physics (10th Edition)
The Cosmic Perspective
An Introduction to Thermal Physics
Life in the Universe (4th Edition)
Lecture- Tutorials for Introductory Astronomy
- Since March 2006, NASAs Mars Reconnaissance Orbiter (MRO) has been in a circular orbit at an altitude of 316 km around Mars (Fig. P6.81). The acceleration due to gravity on the surface of the planet Mars is 0.376g, and its radius is 3.40 103 km. Assume the acceleration due to gravity at the satellite is the same as on the planets surface. a. What is MROs orbital speed? B. What is the period of the spacecrafts orbit? FIGURE P6.81arrow_forward13. A roller coaster at the Six Flags QIC Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each ver- tical loop, instead of being cir- cular, is shaped like a teardrop (Fig. P6.13). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0 m high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having…arrow_forward13. A roller coaster at the Six Flags QC Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each ver- tical loop, instead of being cir- cular, is shaped like a teardrop (Fig. P6.13). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0m high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s AM Figure P6.13 at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages…arrow_forward
- A roller coaster car goes around a loop-the-loop, so it is upside down at the top at point A. The radius of the loop is R. The normal force on the car at the top of the loop is equal to 3mg. What is the speed of the car at the bottom? Ignore friction. A R 6gR 4gR 5gR O29R O89Rarrow_forward13. A roller coaster at the Six Flags QC Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each ver- tical loop, instead of being cir- cular, is shaped like a teardrop (Fig. P6.13). The cars ride on the inside of the loop at the top, and the speeds are fast enough AM to ensure the cars remain on the track. The biggest loop is 40.0 m high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having…arrow_forwardA rocket with mass 5.00×103 kgkg is in a circular orbit of radius 7.50×106 mm around the earth. The rocket's engines fire for a period of time to increase that radius to 8.60×106 mm, with the orbit again circular. What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the kinetic energy increases and negative value if the kinetic energy decreases. What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the gravitational potential energy increases and negative value if the gravitational potential energy decreases. How much work is done by the rocket engines in changing the orbital radius? Express your answer with the appropriate units.arrow_forward
- A 200 g ball moves in a vertical circle on a 1.08 mm -long string. If the speed at the top is 4.30 m/s , then the speed at the bottom will be 7.80 m/s. What is the ball's weight? What is the tension in the string when the ball is at the top What is the tension in the string when the ball is at the bottom?arrow_forwardHow do I solve this in a step by step solution?arrow_forwardA 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_forward
- Back when I was a kid, I loved to play with my Hot Wheels. Hot Wheels are miniature metal cars that race down lengths of flexible track. The track comes in segments that can be connected together. One thing you can do is make the cars Loop the Loop, as shown in the figure above. Starting at a height, h, the cars race down the track, traverse a circular loop of radius, R, without falling down at the top of the loop, and then continue racing along a section of level track. If the loop is 9 inches in diameter, what is the minimum height, h, from which the cars can start and still loop the loop without falling down at the top? Neglect friction and air resistance.arrow_forwardQUESTION 1 A boy takes a 2.0-kg rock and ties it to the end of a light, uniform, 0.80-m-long rope. He then grabs the other end of the rope and swings the rock in a vertical circle. If he imparts a tension of 20 N to the rope as he swings the rock over the top of the circular motion, what will be the speed of the rock at the very top of the motion? Assume that g = 9.8 m/s2. а. 2.0 m/s b. 6.0 m/s C. 5.0 m/s d. 4.0 m/s е. 3.0 m/sarrow_forwardA ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed. The length of the string is 1.16 m. The mass of the ball is 1.60 kg. The maximum tension the string can withstand before breaking is 46.0 N.What is the maximum speed of the ball without the string breaking when the ball is at the bottom of the circle (Point C in the figure)?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning