An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by F = mv2/r. Newton's Law of Universal Gravitation is given by F = GMm/d2, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v = GM/r. Use the result above to find the speed necessary for the given circular orbit around Earth. Let GM = 9.56 ✕ 104 cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.) The orbit of a communications satellite R miles above the surface of Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on Earth.]
An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by F = mv2/r. Newton's Law of Universal Gravitation is given by F = GMm/d2, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v = GM/r. Use the result above to find the speed necessary for the given circular orbit around Earth. Let GM = 9.56 ✕ 104 cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.) The orbit of a communications satellite R miles above the surface of Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on Earth.]
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
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An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by
.
F = mv2/r. Newton's Law of Universal Gravitation is given by F = GMm/d2, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v =
| GM/r |
Use the result above to find the speed necessary for the given circular orbit around Earth. Let
GM = 9.56 ✕ 104 cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.)
The orbit of a communications satellite R miles above the surface of Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on Earth.]
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