Problem 4: The center of a moon of mass m = 2 x 1023 kg is a distance D = 28 x 10 km from the center of a planet of mass M = 19.9 x 103 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.

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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Part (a) Derive an expression for x.
1
M
x = D -
x = D
x = D
%3D
m
%3D
M+m
1+
M
т+1
1
x = D
M
M
x = D –
m
X = D
m
m
1+
Transcribed Image Text:Part (a) Derive an expression for x. 1 M x = D - x = D x = D %3D m %3D M+m 1+ M т+1 1 x = D M M x = D – m X = D m m 1+
Problem 4: The center of a moon of mass m= 2 x 1023 kg is a distance D = 28 × 10° km from the center of a planet of mass M = 19.9 × 1023 kg. At
some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.
Transcribed Image Text:Problem 4: The center of a moon of mass m= 2 x 1023 kg is a distance D = 28 × 10° km from the center of a planet of mass M = 19.9 × 1023 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.
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