Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 8, Problem 23EAP
While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 25 s.
a. What are your speed and the magnitude of your acceleration?
b. What is the ratio of your weight at the top of the ride to your weight while standing on the ground?
c. What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
On an otherwise straight stretch of road near Moffat, Colorado, the road suddenly turns. This bend in the road is a segment of a circle with radius 110 m. Drivers are cautioned to slow down to 40 mph as they navigate the curve.a. If you heed the sign and slow to 40 mph, what will be your acceleration going around the curve at this constant speed? Give your answer in m/s2 and in units of g.b. At what speed would your acceleration be double that at the recommended speed?
On an otherwise straight stretch of road near Netherland, Colorado, the suddenly turns. This bend in the road is a segment of a circle of radius 110m. Drivers are cautioned to slow down to 75km/h as they navigate the curve.
A. Draw a useful picture for this situation, indicating directions of the acceleration and velocity as the car goes around the curve.
B. If you heed the sign and slow to this speed as you go around the curve, what will be your acceleration?
C. At what speed will your acceleration be double that of part B?
An object moves in a horizontal circle at constant speed v (in units of m/s). It takes the object T seconds to complete one revolution.
a. Derive an expression that gives the radial acceleration of the ball in terms of v and T, but not r.
b. If the speed doubles, by what factor must the period T change if arad is to remain unchanged?
c. If the radius doubles, by what factor must the period change to keep arad the same?
Chapter 8 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 8 - In uniform circular motion, which of the following...Ch. 8 - A car runs out of gas while driving down a hill....Ch. 8 - FIGURE Q8.3 is a bird's-eye view of particles on...Ch. 8 - Tarzan swings through the jungle on a massless...Ch. 8 - FIGURE Q8.5 shows two balls of equal mass moving...Ch. 8 - Ramon and Sally are observing a toy car speed up...Ch. 8 - A jet plane is flying on a level course at...Ch. 8 - A small projectile is launched parallel to the...Ch. 8 - 9. You can swing a ball on a string in a vertical...Ch. 8 - A golfer starts with the club over her head and...
Ch. 8 - As a science fair project, you want to launch an...Ch. 8 - A 500 g model rocket is on a cart that is rolling...Ch. 8 - A 4.0 × 1010 kg asteroid is heading directly...Ch. 8 - A 55 kg astronaut who weighs 180 N on a distant...Ch. 8 - A 1500 kg car drives around a flat 200-m-diameter...Ch. 8 - A 1500 kg car takes a 50-m-radius unbanked curve...Ch. 8 - A 200 g block on a 50-cm-long string swings in a...Ch. 8 - In the Bohr model of the hydrogen atom, an...Ch. 8 - Suppose the moon were held in its orbit not by...Ch. 8 - 10. A highway curve of radius 500 m is designed...Ch. 8 - It is proposed that future space stations create...Ch. 8 - A 5.0 g coin is placed 15 cm from the center of a...Ch. 8 - Mass m1on the frictionless table of FIGURE EX8.13...Ch. 8 - A satellite orbiting the moon very near the...Ch. 8 - What is free-fall acceleration toward the sun at...Ch. 8 - 16. A 9.4 × 1021 kg moon orbits a distant planet...Ch. 8 - Communications satellites are placed in circular...Ch. 8 - A car drives over the top of a hill that has a...Ch. 8 - The weight of passengers on a roller coaster...Ch. 8 - A roller coaster car crosses the top of a circular...Ch. 8 - The normal force equals the magnitude of the...Ch. 8 - A student has 65-cm-long arms. What is the minimum...Ch. 8 - While at the county fair, you decide to ride the...Ch. 8 - A 500 g ball swings in a vertical circle at the...Ch. 8 - A 500 g ball moves in a vertical circle on a...Ch. 8 - A heavy ball with a weight of 100 N (m = 10.2 kg)...Ch. 8 - A toy train rolls around a horizontal...Ch. 8 - 28. A new car is tested on a 200-m-diameter track....Ch. 8 - An 85,000 kg stunt plane performs a loop-the-loop,...Ch. 8 - Three cars are driving at 25 m/s along the road...Ch. 8 - Derive Equations 8.3 for the acceleration of a...Ch. 8 - 32. A 100 g bead slides along a frictionless wire...Ch. 8 - 33. Space scientists have a large test chamber...Ch. 8 - 34. A 5000 kg interceptor rocket is launched at an...Ch. 8 - Prob. 35EAPCh. 8 - 36. A rocket- powered hockey puck has a thrust of...Ch. 8 - Prob. 37EAPCh. 8 - A 2.0 kg projectile with initial velocity m/s...Ch. 8 - A 75 kg man weighs himself at the north pole and...Ch. 8 - A concrete highway curve of radius 70 m banked at...Ch. 8 - a. an object of mass m swings in horizontal circle...Ch. 8 -
42. You’ve taken your neighbor’s young child to...Ch. 8 - A 4.4-cm-diameter, 24 g plastic ball is attached...Ch. 8 - A charged particle of mass m moving with speed v...Ch. 8 - Two wires are tied to the 2.0 kg sphere shown in...Ch. 8 - Two wires are tied to the 300 g sphere shown in...Ch. 8 - A conical pendulum is formed by attaching a ball...Ch. 8 - The 10 mg bead in FIGURE P8.48 is free to slide on...Ch. 8 - In an old-fashioned amusement park ride,...Ch. 8 - The ultracentrifuge is an important tool for...Ch. 8 - In an amusement park ride called The Roundup,...Ch. 8 - 52. Suppose you swing a ball of mass m in a...Ch. 8 - A 30 g ball rolls around a 40-cm-diameter L-shaped...Ch. 8 - FIGURE P8.54 shows a small block of mass m sliding...Ch. 8 - The physics of circular motion sets an upper limit...Ch. 8 - A 100 g ball on a 60-cm-long string is swung in a...Ch. 8 - A 60 g ball is tied to the end of a 50-cm-long...Ch. 8 - Elm Street has a pronounced dip at the bottom of a...Ch. 8 - 59. A 100 g ball on a 60-cm-long string is swung...Ch. 8 - Scientists design a new particle accelerator in...Ch. 8 - 61. A 1500 kg car starts from rest and drives...Ch. 8 - Prob. 62EAPCh. 8 - 63. A 2.0 kg ball swings in a vertical circle on...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - Sam (75 kg) takes off up a 50-m-high, 10°...Ch. 8 - In the absence of air resistance, a projectile...Ch. 8 - The father of Example 8.2 stands at the summit of...Ch. 8 - A small bead slides around a horizontal circle at...Ch. 8 - A 500 g steel block rotates on a steel table while...Ch. 8 - If a vertical cylinder of water (or any other...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The International Space Station (ISS) experiences an acceleration due to the Earths gravity of 8.83 m/s2. What is the orbital period of the ISS?arrow_forwardTwo planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?arrow_forwardThe “Screaming Swing” is a carnival ride that is—not surprisingly—a giant swing. It’s actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 30 m/s with respect to the ground in a 50-m-diameter circle. The rider in the other swing is moving in a similarcircle at the same speed, but in the exact opposite direction.a. What is the acceleration, in m/s2 and in units of g, that riders experience?b. At the bottom of the ride, as they pass each other, how fast do the riders move with respect to each other?arrow_forward
- Elmira, New York boasts of having the fastest carousel ride in the world. The merry-go-round at Eldridge Park takes riders on a spin at 18 mi/hr (8.0 m/s). The radius of the circle about which the outside riders move is approximately 7.4 m. a. Determine the time for outside riders to make one complete circle.b. Determine the acceleration of the riders.arrow_forwardA race car moves on a circular track at a uniform speed of 30.0 m/s in a counterclockwise direction. The radius of the track is 75.0 m. What is the direction of the car’s acceleration? b. What is the magnitude of the car’s acceleration?arrow_forwardA typical laboratory centrifuge rotates at 4000 rpm. Test tubes have to be placed into a centrifuge very carefully because of the very large accelerations.a. What is the acceleration at the end of a test tube that is 10 cm from the axis of rotation?b. For comparison, what is the magnitude of the acceleration a test tube would experience if stopped in a 1.0-ms-long encounter with a hard floor after falling from a height of 1.0 m?arrow_forward
- An object is thrown off the top of a building with velocity 32 m/s at an angle 34 degrees with respect to the horizontal. It takes 6.2 s for the object to land. a. How high is the building in meters? b. What is the horizontal distance that the object travels in meters?arrow_forwardDuring the spin cycle of a washing machine, the clothes stick to the outer wall of the barrel as it spins at a rate as high as 1800 revolutions per minute. The radius of the barrel is 26 cm (0.26 m). a. Determine the speed of the clothes (in m/s) that are located on the wall of the spin barrel. b. Determine the acceleration of the clothes, and select the appropriate units for acceleration.arrow_forwardPrior to landing at the airport, an airplane flies at a constant speed in a circular course with aradius of 5000 meters. An observer notices that the plane completes each round trip in 400seconds.a. What is the speed of the airplane? b.Whats the centripetal acceleration?arrow_forward
- 3. a. Since we use friction to accelerate our cars around turrns, we can't take turns as fast in wet or snowy weather. What is the minimum radius turn you can make at a speed of 56.5 mph (25.2555 m/s) in dry weather with Us=0.75? Suppose the road is flat. 3.4361 Previous submissions: b. What is the minimum radius turn you can make at the same speed when it's snowing and us = 0.25? 10.3083 Previous submissions: m m incorrect incorrectarrow_forwardA roller coaster car moves in a vertical circle of radius R. At the top of the circle the car has speed v1, and at the bottom of the circle it has speed v2, where v2 > v1. Suppose that v2 is in the +x-direction, and +y-axis is directed upward. a. When the car is at the top of its circular path, what is the direction of its radial acceleration, arad,top? The direction angle βtop of the radial acceleration arad,top is measured from the +x-direction toward the +y-direction. b. When the car is at the bottom of its circular path, what is the direction of its radial acceleration, arad,bottom? The direction angle βbottom of the radial acceleration arad,bottom is measured from the +x-direction toward the +y-direction. c. In terms of v1 and v2, what is the ratio arad,bottom / arad,top?arrow_forwardA child sits on a merry-go-round turning with uniform circular motion in a counterclockwise direction. At time t1 = 2 s, the child's velocity is = (2i +4j)(m/ s). The child sits 2.5 m from the center 4. %3D of rotation. a. At t1, what is the centripetal acceleration of the child? b. If the child maintained her speed at t1, what would be the period of her motion? c. However, the child changes her speed. At t2 = 5 s, the child's velocity is i=(-3î – 4j) (m/ s). What is %3D the magnitude of the average acceleration between t, and t2? d. Draw a circle showing where the child is located at t1 and t2.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY