find the r^3 only from second equation FG = Gmim272(1)G is a constant called Newton's gravitational constant. Its value is 6.67 x 10-11Nm2 /kg². If you havean object moving in a circle of radius r, the acceleration is v?/r where v is its speed. If we assumethat the Moon orbits the Earth in a circle, we can use Newton's law of gravity to show thatGme(2)%3D4n2Here T is the time period for a full lunar revolution, r is the distance between the Earth and theMoon, and me is the mass of the Earth (me = 6 x 1024kg). Once you have Eq. 2, note that the Moonis observed to orbit the Earth in T = 27 days. One can use this fact (converted to seconds) to derivethe distance between them.%3D%3D

Using equation (2),r3=Gme4π2T2where, me=6×1024 kgG=6.67×10-11 N·m2kg2T=27 days…

Answered: GmeT. 472

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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

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