College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 66GP
A solid uniform spherical stone starts moving from rest at the top of a hill. At the bottom of the hill the ground curves upward, launching the stone vertically a distance H below its start. How high will the stone go (a) if there is no friction on the hill and (b) if there is enough friction on the hill for the stone to roll without slipping? (c) Why do you get two different answers even though the stone starts with the same gravitational potential energy in both cases?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 500-kg ball at the end of a 30-m cable suspended from a crane is used to demolish an old building.
If the ball has an initial angular displacement of 15 degrees from the vertical, determine its speed at the bottom of the arc.
Fnet = ma, Ffric,k = MkN, Ffric,s,max = μs N₁ v=rw, ac
v2
= ²/² = rw², Fnet,c = mac
r
A solid sphere (? = 2/5m?2) is released from rest at the top of a ramp, as shown. The ramp is tilted at an angle of θ = 30.0°, and the sphere descends a total vertical distance of h = 1.0 m. Assume the sphere rolls without slipping. What is the final speed, vf, of the sphere when it reaches the bottom of the ramp?
Chapter 9 Solutions
College Physics (10th Edition)
Ch. 9 - What is the difference between the tangential...Ch. 9 - A flywheel rotates with constant angular velocity....Ch. 9 - A flywheel rotates with constant angular...Ch. 9 - A uniform ring of mass M and radius R and a point...Ch. 9 - According to experienced riders, you make a bike...Ch. 9 - A solid ball, a solid cylinder, and a hollow...Ch. 9 - Experienced cooks can tell whether an egg is raw...Ch. 9 - Part of the kinetic energy of a moving automobile...Ch. 9 - Can you think of a body that has the same moment...Ch. 9 - A client has come to you with two metal balls of...
Ch. 9 - If a ball roils down an irregularly shaped hill...Ch. 9 - A uniform marble rolls down a symmetric bowl,...Ch. 9 - When a wheel turns through one complete rotation,...Ch. 9 - Two points are on a disk that rotates about an...Ch. 9 - A bicycle wheel rotating at a rate of 12 rad/s...Ch. 9 - Two uniform solid spheres of the same size, but...Ch. 9 - A disk starts from rest and has a constant angular...Ch. 9 - Two unequal masses m and 2m are attached to a thin...Ch. 9 - A thin uniform bar has a moment of inertia I about...Ch. 9 - Two small objects of equal weight are attached to...Ch. 9 - A disk starts from rest and rotates with constant...Ch. 9 - Two identical merry-go-rounds are rotating at the...Ch. 9 - A solid sphere and a hollow sphere, both uniform...Ch. 9 - A uniform ball rolls without slipping toward a...Ch. 9 - A flexible straight wire 75.0 cm long is bent into...Ch. 9 - (a) What angle in radians is subtended by an arc...Ch. 9 - (a) Calculate the angular velocity (in rad/s) of...Ch. 9 - The once-popular LP (long-play) records were 12...Ch. 9 - If a wheel 212 cm in diameter takes 2.25 s for...Ch. 9 - A curve ball is a type of pitch in which the...Ch. 9 - A laser beam aimed from the earth is swept across...Ch. 9 - Communications satellites. Communications...Ch. 9 - An airplane propeller is rotating at 1900 rpm. (a)...Ch. 9 - At t = 0 a cooling fan running at 200 rad/s is...Ch. 9 - A turntable that spins at a constant 78.0 rpm...Ch. 9 - DVDs. The angular speed of digital video discs...Ch. 9 - A circular saw blade 0.200 m in diameter starts...Ch. 9 - A wheel turns with a constant angular acceleration...Ch. 9 - An electric fan is turned off, and its angular...Ch. 9 - A flywheel in a motor is spinning at 500.0 rpm...Ch. 9 - A flywheel having constant angular acceleration...Ch. 9 - A potters wheel is spinning with an initial...Ch. 9 - A car is traveling at a constant speed on the...Ch. 9 - (a) A cylinder 0.150 m in diameter rotates in a...Ch. 9 - A wheel rotates with a constant angular velocity...Ch. 9 - Ultracentrifuge. Find the required angular speed...Ch. 9 - Exercise! An exercise bike that you pedal in place...Ch. 9 - A flywheel with a radius of 0.300 m starts from...Ch. 9 - A car is traveling at a speed of 101 km/h on the...Ch. 9 - Dental hygiene. Electric toothbrushes can be...Ch. 9 - The spin cycles of a washing machine have two...Ch. 9 - A slender metal rod has a mass M and length L. The...Ch. 9 - A thin uniform bar has two small balls glued to...Ch. 9 - Use the formulas of Table 9.2 to find the moment...Ch. 9 - Four small 0.200 kg spheres, each of which you can...Ch. 9 - Suppose you are given a steel bar and you cut it...Ch. 9 - A bicycle chain connects two sprockets as shown in...Ch. 9 - A wagon wheel is constructed as shown in Figure...Ch. 9 - You need to design an industrial turntable that is...Ch. 9 - A grinding wheel in the shape of a solid disk is...Ch. 9 - The flywheel of a gasoline engine is required to...Ch. 9 - An airplane propeller is 2.08 m in length (from...Ch. 9 - Storing energy in flywheels. It has been suggested...Ch. 9 - A light string is wrapped around the outer rim of...Ch. 9 - A solid uniform 3.25 kg cylinder, 65.0 cm in...Ch. 9 - A solid copper disk has a radius of 0.2 m, a...Ch. 9 - Gymnastics. We can roughly model a gymnastic...Ch. 9 - A bicycle racer is going downhill at 11.0 m/s...Ch. 9 - A 2.20 kg hoop 1.20 m in diameter is rolling to...Ch. 9 - A solid uniform sphere and a uniform spherical...Ch. 9 - A size-5 soccer bail of diameter 22.6 cm and mass...Ch. 9 - A solid uniform marble and a block of ice, each...Ch. 9 - What fraction of the total kinetic energy is...Ch. 9 - A string is wrapped several times around the rim...Ch. 9 - A 150.0 kg cart rides down a set of tracks on four...Ch. 9 - A uniform marble rolls down a symmetric bowl,...Ch. 9 - A 7300 N elevator is to be given an acceleration...Ch. 9 - A 392 N wheel comes off a moving truck and rolls...Ch. 9 - Odometer. The odometer (mileage gauge) of a car...Ch. 9 - Speedometer. Your cars speedometer works in much...Ch. 9 - A passenger bus in Zurich, Switzerland, derived...Ch. 9 - Kinetic energy of bicycle wheels. A 55 kg woman is...Ch. 9 - Compact discs. When a compact disc (CD) is...Ch. 9 - A vacuum cleaner belt is looped over a shaft of...Ch. 9 - A basketball (which can be closely modeled as a...Ch. 9 - Human rotational energy. A dancer is spinning at...Ch. 9 - A solid uniform spherical boulder rolls down a...Ch. 9 - A thin uniform rod 50.0 cm long with mass 0.320 kg...Ch. 9 - In redesigning a piece of equipment, you need to...Ch. 9 - A solid uniform spherical stone starts moving from...Ch. 9 - A solid, uniform hall rolls without slipping up a...Ch. 9 - The kinetic energy of walking. If a person of mass...Ch. 9 - The kinetic energy of running. Using the previous...Ch. 9 - The Spinning Eel. American eels are freshwater...Ch. 9 - The eel is observed to spin at 14 rev/s clockwise,...Ch. 9 - The eel has a certain amount of rotational kinetic...Ch. 9 - A new species of eel is found to have the same...
Additional Science Textbook Solutions
Find more solutions based on key concepts
5. A 65 kg gymnast wedges himself between two closely spaced vertical walls by pressing his hands and feet ag...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
37. (I) A force of 35.0 N is required to start a 6.0-kg box moving across a horizontal concrete floor. (a) What...
Physics: Principles with Applications
The greatest ocean depths on Earth are found in the Marianas Trench near the Philippines. Calculate the pressur...
University Physics Volume 1
Choose the best answer to each of the following. Explain your reasoning. When the ultraviolet light from hot st...
Cosmic Perspective Fundamentals
A block slides on the frictionless loop-the-loop track shown in Fig. 7.19. Find the minimum height h at which i...
Essential University Physics (3rd Edition)
Q10.10 Two identical masses are attached to frictionless pulleys by very light strings wrapped around the rim o...
University Physics (14th Edition)
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
- In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?arrow_forwardA tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.03 m/s on a horizontal section of a track as shown in Figure P10.62. It rolls around the inside of a vertical circular loop of radius r = 45.0 cm. As the ball nears the bottom of the loop, the shape of the track deviates from a perfect circle so that the ball leaves the track at a point h = 20.0 cm below the horizontal section. (a) Find the balls speed at the top of the loop. (b) Demonstrate that the ball will not fall from the track at the top of the loop. (c) Find the balls speed as it leaves the track at the bottom. What If? (d) Suppose that static friction between ball and track were negligible so that the ball slid instead of rolling. Would its speed then be higher, lower, or the same at the top of the loop? (e) Explain your answer to part (d). Figure P10.62arrow_forwardFigure P10.82 shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient of static friction between the cylinder and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of Fg, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: Show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping. Figure P10.82arrow_forward
- Consider two objects with m1 m2 connected by a light string that passes over a pulley having a moment of inertia of I about its axis of rotation as shown in Figure P10.44. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance 2h. (a) Use the principle of conservation of energy to find the translational speeds of the objects as they pass each other. (b) Find the angular speed of the pulley at this time.arrow_forwardA turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?arrow_forwardThe puck in Figure P11.46 has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 40.0 cm, and the puck is sliding with a speed of 80.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. (Suggestion: Consider the change of kinetic energy.) Figure P11.46arrow_forward
- An athlete in a gym applies a constant force of 50 N to the pedals of a bicycle to keep the rotation rate of the wheel at 10 rev/s. The length of the pedal arms is 30 cm. What is the power delivered to the bicycle by the athlete?arrow_forwardA space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? Figure P10.52 Problems 52 and 54.arrow_forwardAn ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?arrow_forward
- Problems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its center and is perpendicular to the face of the disk. Consider a point on the rim of the disk (point R) and another point halfway between the center and the rim (point H) at one particular instant. a. How does the angular speed v of the disk at point H compare with the angular speed of the disk at point R? b. How does the tangential speed of the disk at point H compare with the tangential speed of the disk at point R? c. Suppose we pick a point H on the disk at random (by throwing a dart, for example), and we compare the speeds at that point with the speeds at point R. How will the answers to parts (a) and (b) be different? Explain.arrow_forwardA disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forwardWhy is the following situation impossible? A mischievous child goes to an amusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the rides structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of = 20.0 with the horizontal as shown in Figure P6.32. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d = 5.32 m down the sloped side from the center of the cone and pouts. The coefficient of static friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s. Figure P6.32arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License