How much work is required to lift a 500-kg satellite to an altitude of 1 · 10° m above the surface of the earth? The gravitational force is F = GMm/r², where M is the mass of the earth, m is the mass of the satellite, and r is the distance between them. The radius of the earth is 6.4 · 10° m, its mass is 6 · 10ª kg, %3D and in these units the gravitational constant, G, is 6.67 · 10~1,

How much work is required to lift a 500-kg satellite to an altitude of 1 · 10° m above the surface of the earth? The gravitational force is F = GMm/r², where M is the mass of the earth, m is the mass of the satellite, and r is the distance between them. The radius of the earth is 6.4 · 10° m, its mass is 6 · 10ª kg, %3D and in these units the gravitational constant, G, is 6.67 · 10~1,

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 14P: The Scope and Scale of Physics Find the order of magnitude of the following physical quantities. (a)...

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Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
The Scope and Scale of Physics Find the order of magnitude of the following physical quantities. (a) The mass of Earth’s atmosphere: 5.11018kg : (b) The mass of the Moon’s atmosphere: 25,000kg ; (c) The mass of Earth’s hydrosphere: 1.41021kg : (d) The mass of Earth: 5.971024kg : (e) The mass of the Moon: 7.341022kg : (f) The Earth-Moon distance (semimajor axis): 3.84108m : (g) The mean Earth-Sun distance: 1.51011m : (h) The equatorial radius of Earth: 6.38106m : (i) The mass of an electron: 9.111031kg : (j) The mass of a proton: 1.671027kg : (k) The mass of the Sun: 1.991030kg .
How much work is required to lift a 800-kg satellite to an altitude of 3 · 106 m above the surface of the Earth? The gravitational force is F = GMm/r², where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4 · 106 m, its mass is 6 · 10²4 kg, and in these units the gravitational constant, G, is 6.67. 10-¹¹. Work = (include help (units); for this problem assume all given constants are accurate to many significant figures.)
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The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.
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Newton’s law of universal gravitation is represented byF = G Mm r 2where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s 2 . What are the SI units of the proportionality constant G?