University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 10, Problem 124CP
Zorch, an archenemy of Rotation Man, decides to slow Earth’s rotation to once per 28.0 h by exerting an opposing force at and parallel to the equator. Rotation Man is not immediately concerned, because he knows Zorch can only exert a force of
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Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 28.0 hours by exerting an opposing
force at and parallel to the equator. Superman is not immediately concerned, because he knows Zorch can only exert a
force of 4.00.x 10'N (a little greater than a Saturn V rocket's thrust). How long must Zorch push with this force to
accomplish his goal? Assume the Earth is a uniform sphere of radius 6.37 x 10° m and a mass of 5.97 x 1024
kg.
(Hint: Remember the Earth's current rotation period is 23 hours, 56 minutes, 4 seconds. You need to calculate
Zorch's torque on the Earth; the Earth's moment of inertia about its rotation axis; the resulting angular acceleration; and
then the length of time this acceleration would need to act in order to slow the Earth's angular velocity down by the
required amount).
1
586 million years
2
128 billion years
3
140,000 years
4
462 years
Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 28.0 h by exerting an opposing force at and parallel to the equator. Superman is not immediately concerned, because he knows Zorch can onlyexert a force of 4.00×107 N (a little greater than a Saturn V rocket’s thrust). How long must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.) Explicitly show how you follow the steps found in Problem-Solving Strategy for Rotational Dynamics.
Zorch, an archenemy of Rotation Man, decides to slow Earth’s rotation to once per 28.0 h by exerting an opposing force at and parallel to the equator. Rotation Man is not immediately concerned, because he knows Zorch can only exert a force of 4.00 × 107 N (a little greater than a Saturn V rocket’s thrust). How long must Zorch push with this force to accomplish his goal? (This period gives Rotation Man time to devote to other villains.)
Chapter 10 Solutions
University Physics Volume 1
Ch. 10 - Check Your Understanding The fan blades on a...Ch. 10 - Check Your Understanding A centrifuge used in DNA...Ch. 10 - Check Your Understanding A boy jumps on a...Ch. 10 - Check Your Understanding A nuclear submarine...Ch. 10 - Check Your Understanding What is the moment of...Ch. 10 - Check Your Understanding A large ocean-going ship...Ch. 10 - Check Your Understanding The fan blades on a jet...Ch. 10 - Check Your Understanding A constant torque of...Ch. 10 - A clock is mounted on the wall. As you look at it,...Ch. 10 - What is the value of the angular acceleration of...
Ch. 10 - A baseball bat is swung. Do all points on the bat...Ch. 10 - The blades of a blender on a counter are rotating...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If the angular acceleration of a rigid body is...Ch. 10 - A massless tether with a masses tied to both ends...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a piece of food is on the edge of a...Ch. 10 - What if another planet the same size as Earth were...Ch. 10 - A solid sphere is rotating about an axis through...Ch. 10 - If a child walks toward the center of a...Ch. 10 - A discus thrower rotates with a discus in his hand...Ch. 10 - Does increasing the number of blades on a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - What three factors affect the torque created by a...Ch. 10 - Give an example in which a small force exerts a...Ch. 10 - When reducing the mass of a racing bike, the...Ch. 10 - Can a single force produce a zero torque?Ch. 10 - Can a set of forces have a net torque that is zero...Ch. 10 - Can a set of forces have a net force that is zero...Ch. 10 - Prob. 25CQCh. 10 - If you were to stop a spinning wheel with a...Ch. 10 - Prob. 27CQCh. 10 - Calculate the angular velocity of Earth.Ch. 10 - A track star runs a 400-m race on a 400-m circular...Ch. 10 - A wheel rotates at a constant rate of...Ch. 10 - A particle moves 3.0 m along a circle of radius...Ch. 10 - A compact disc rotates at 500 rev/min. If the...Ch. 10 - Unreasonable results. 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If its power...Ch. 10 - A clay cylinder of radius 20 cm on a potter’s...Ch. 10 - A uniform cylindrical grindstion has a mass of 10...Ch. 10 - A uniform disk of mass 500 kg and radius 0.25 m is...Ch. 10 - A propeller is accelerated from rest to an angular...Ch. 10 - A sphere of mass 1.0 kg and radius 0.5 m is...Ch. 10 - A uniform rod of length L and mass M is held...Ch. 10 - An athlete in a gym applies a constant force of 50...Ch. 10 - A 2-kg block on a frictionless inclined plane at...Ch. 10 - Small bodies of mass m1 and m2 are attached to...Ch. 10 - A cyclist is riding such that the wheels of the...Ch. 10 - Calculate the angular velocity of the orbital...Ch. 10 - A phonograph turntable rotating at 331/3rev/min...Ch. 10 - With the aid of a string, a gyroscope is...Ch. 10 - Suppose a piece of dust has fallen on a CD. If the...Ch. 10 - A system of point particles is rotating about a...Ch. 10 - Calculate the moment of inertia of a skater given...Ch. 10 - A stick of length 1.0 m and mass 6.0 kg is free to...Ch. 10 - A pendulum consists of a rod of length 2 m and...Ch. 10 - Calculate the torque of the 40-N force around the...Ch. 10 - Two children push on opposite sides of a door...Ch. 10 - Prob. 118APCh. 10 - An automobile engine can produce 200Nm of torque....Ch. 10 - A grindstone with a mass of 50 kg and radius 0.8 m...Ch. 10 - The angular acceleration of a rotating rigid body...Ch. 10 - Earth’s day has increased by 0.002 s in the last...Ch. 10 - A disk of mass m , radius R , and area A has a...Ch. 10 - Zorch, an archenemy of Rotation Man, decides to...Ch. 10 - A cord is wrapped around the rim of a solid...
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