2. A 175-kg roller coaster car is supposed to make a vertical loop with a diameter of 13.5 m, with the car on the inside of the loop. a. What is the minimum speed of the car at the top of the loop so that it doesn't come off of the tracks and fall to the ground? b. If the car is traveling at twice that speed, what is the magnitude of the normal force exerted on the car by the tracks?

2. A 175-kg roller coaster car is supposed to make a vertical loop with a diameter of 13.5 m, with the car on the inside of the loop. a. What is the minimum speed of the car at the top of the loop so that it doesn't come off of the tracks and fall to the ground? b. If the car is traveling at twice that speed, what is the magnitude of the normal force exerted on the car by the tracks?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 65PQ: A 50.0-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The...

See similar textbooks

Similar questions

A 0.275-kg object is swung in a vertical circular path on a string 0.850 m long as in Figure P7.70. (a) What are the forces acting on the ball at any point along this path? (b) Draw free-body diagrams for the ball when it is at the bottom of the circle and when it is at the top. (c) If its speed is 5.20 m/s at the top of the circle, what is the tension in the string there? (d) If the string breaks when its tension exceeds 22.5 N, what is the maximum speed the object can have at the bottom before the string breaks? Figure P7.70
A ball of mass m = 0.275 kg swings in a vertical circular path on a string L = 0.850 in long as in Figure P6.31. (a) What are the forces acting on the ball at any point on the path? (b) Draw force diagrams for the ball when it is at the bottom of the circle and when it is at the top. (c) If its speed is 5.20 m/s at the top of the circle, what is the tension in the string there? (d) If the string breaks when its tension exceeds 22.5 N, what is the maximum speed the ball can have at the bottom before that happens? Figure P6.31
A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What is the tension in the pendulum cable at this point if the pendulum is 80.0 cm long? (b) When the pendulum reaches its highest point, what angle does the cable make with the vertical? (c) What is the tension in the pendulum cable when the pendulum reaches its highest point?
When a star dies, much of its mass may collapse into a single point known as a black hole. The gravitational force of a black hole on surrounding astronomical objects can be very great. Astronomers estimate the strength of this force by observing the orbits of such objects around a black hole. What is the gravitational force exerted by a black hole on a 1-solar-mass star whose orbit has a 1.4 1010 m radius and a period of 5.6 days?
The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in Figure 7.13b. The speed of the airplane is 2.00 102 m/s, and the radius of the circle is 3.20 103 m. (a) What is the pilot's apparent weight at the lowest point of the circle if his true weight is 712 N? (b) What is his apparent weight at the highest point of the circle? (c) Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the scat on his body. Under what conditions does this occur? (d) What speed would have resulted in the pilot experiencing weightlessness at the top of the loop?
Review. The gravitational force exerted on a baseball is Fgj. A pitcher throws the ball with velocity vi by uniformly accelerating it along a straight horizontal line for a time interval of t = t 0 = t. (a) Starting from rest, through what distance does the hall move before its release? (b) What force does the pitcher exert on the hall?
(a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars? The mass of Mars is 6.4181023 kg and its radius is 3.38106 m.
Review. The gravitational force exerted on a baseball is 2.21 N down. A pitcher throws the ball horizontally with velocity 18.0 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 170 ms. The ball starts from rest, (a) Through what distance does it move before its release? (b) What are the magnitude and direction of the force the pitcher exerts on the hall?
A 50.0-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 = 4.00R. a. What is the speed of the car at the top of the vertical loop? b. What is the magnitude of the normal force acting on the car at the top of the vertical loop?
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?
Io and Europa are two of Jupiters many moons. The mean distance of Europa from Jupiter is about twice as far as that for Io and Jupiter. By what factor is the period of Europas orbit longer than that of Ios?
Figure P7.45 shows a picture of American astronaut Clay Anderson experiencing weightlessness on board the International Space Station. a. Most people have the misconception that a person in a spacecraft is weightless because he or she is no longer affected by gravity. Show that this premise cannot be true by computing the gravitational field of the Earth at an altitude of 200 km the typical altitude of a spacecraft in orbit. Compare this result with the gravitational field on the surface of the Earth. b. Why would astronauts in orbit experience weightlessness even if they are experiencing a gravitational field (and therefore a gravitational force)?