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 61GP
A basketball (which can be closely modeled as a hollow spherical shell) rolls down a mountainside into a valley and then up the opposite side, starting from rest at a height H0 above the bottom. In Figure 9.36, the rough part of the terrain prevents slipping while the smooth part has no friction. (a) How high, in terms of H0, will the ball go up the other side? (b) Why doesn’t the ball return to height H0? Has it lost any of its original potential energy?
Figure 9.36 Problem 61.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 24 g block sits at the center of a turntable that rotates at 80 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 54.0 cm. Express your answer in revolutions per minute.
A 5 kg disk with a radius of 20 cm is spinning at 20 rpm. A clump of clay is dropped on the edge of the disk and quickly sticks to the surface. What mass of clay is needed to reduce the angular speed to 15 rpm? Treat the clay as a point mass.
A turntable with a mass of 12 kg and a radius of 1.8 meters spins at a constant angular velocity of 140 rpm.
A 3-kg brick with a width of 15 cm and a depth of 30 cm falls onto the turntable, so the brick's center of mass is one meter away
from the turntable's center.
If there's no friction between the brick and turntable and they eventually spin at the same angular speed, what is their final angular
speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used.
Moments of Inertia:
I disk
MR? for rotation about its center of mass parallel to the z-axis.
=
Iblock
5M (W2 + D² ) for rotation about its center of mass parallel to the z-axis.
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
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk(*) desig...
Cosmic Perspective Fundamentals
Angle the reflected ray makes with the normal.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Find the center of mass of a pentagon with five equal sides of length a, but with one triangle missing (Fig. 9....
Essential University Physics: Volume 1 (3rd Edition)
* (a) An object with charge q4=+3.010-9C is moved to position C from infinity (Figure P17.26 ). q1=q2=q3=+10.01...
College Physics
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
An electron moves in a circle of radius r around a very long uniformly charged wire in a vacuum chamber, as sho...
Physics for Scientists and Engineers with Modern Physics
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
- A 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_forwardThe velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?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_forward
- Two astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the two-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one of the astronauts shortens the distance between them to d/2. (c) What is the new angular momentum of the system? (d) What are the astronauts new speeds? (e) What is the new rotational energy of the system? (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? Figure P10.67 Problems 67 and 68.arrow_forwardA solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?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
- A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an incline to a vertical height of 1.0 m. If a hollow sphere of the same mass and radius is given the same initial velocity how high vertically does it roll up the incline?arrow_forwardA long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?arrow_forwardAs the rope of a tethered ball winds around a pole, what happens to the angular velocity of the ball?arrow_forward
- A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A second disk, this one having moment of inertia I2 and initially not rotating, drops onto the first disk (Fig. P10.50). Because of friction between the surfaces, the two eventually reach the same angular speed f. (a) Calculate f. (b) Calculate the ratio of the final to the initial rotational energy. Figure P10.50arrow_forwardA solid, uniform disk of radius 0.250 m and mass 55.0 kg rolls down a ramp of length 4.50 m that makes an angle of 15.0 with the horizontal. The disk starts from rest from the top of the ramp. Find (a) the speed of the disks center of mass when it reaches the bottom of the ramp and (b) the angular speed of the disk at the bottom of the ramp.arrow_forwardTwo astronauts (Fig. P10.67), each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the two-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. (c) What is the new angular momentum of the system? (d) What are the astronauts new speeds? (e) What is the new rotational energy of the system? (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? Figure P10.67 Problems 67 and 68.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
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
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
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
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License