GmeT. 472

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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find the r^3 only from second equation 

FG = Gmim2
72
(1)
G is a constant called Newton's gravitational constant. Its value is 6.67 x 10-11Nm2 /kg². If you have
an object moving in a circle of radius r, the acceleration is v?/r where v is its speed. If we assume
that the Moon orbits the Earth in a circle, we can use Newton's law of gravity to show that
Gme
(2)
%3D
4n2
Here T is the time period for a full lunar revolution, r is the distance between the Earth and the
Moon, and me is the mass of the Earth (me = 6 x 1024kg). Once you have Eq. 2, note that the Moon
is observed to orbit the Earth in T = 27 days. One can use this fact (converted to seconds) to derive
the distance between them.
%3D
%3D
Transcribed Image Text:FG = Gmim2 72 (1) G is a constant called Newton's gravitational constant. Its value is 6.67 x 10-11Nm2 /kg². If you have an object moving in a circle of radius r, the acceleration is v?/r where v is its speed. If we assume that the Moon orbits the Earth in a circle, we can use Newton's law of gravity to show that Gme (2) %3D 4n2 Here T is the time period for a full lunar revolution, r is the distance between the Earth and the Moon, and me is the mass of the Earth (me = 6 x 1024kg). Once you have Eq. 2, note that the Moon is observed to orbit the Earth in T = 27 days. One can use this fact (converted to seconds) to derive the distance between them. %3D %3D
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