Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 41.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.20 x 107 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 x 1024 kg and its radius is 6.38 x 106 m.)

Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 41.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.20 x 107 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 x 1024 kg and its radius is 6.38 x 106 m.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....

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Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 30.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.60 x 10' N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 × 1024 kg and its radius is 6.38 x 106 m.) Additional Materials |Reading
Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 31.0 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.80 107 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 1024 kg and its radius is 6.38 106 m.)
Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 27 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.85 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)
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