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.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section11.1: Newton’s Law Of Universal Gravitation Revisited
Problem 11.1QQ: A planet has two moons of equal mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a...
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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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