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23 Nov 2019

at a point between the earth and the moon, the magnitude of theforce exerted on an object by the earth's gravity equals themagnitude of the force exerted on the object by the moon's gravity.what is the distance from the center of the earth to thispoint?

distance from center of earth to center of moon = 383000 km
radius of earth= 6370 km
radius of moon=1738 km
acceleration due to gravity for the moon = 1.62 m/s^2

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Casey Durgan
Casey DurganLv2
10 Feb 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

13.62. (a) Calculate how much work is required to launch a spacecraft of mass m from the surface of the earth (mass me, radius RE) and place it in a circular low earth orbit—that is, an orbit whose altitude above the earth's surface is much less than RE: (As an example, the International Space Station is in low earth orbit at an altitude of about 400 km, much less than RE = 6370 km.) Ignore the kinetic energy that the spacecraft has on the ground due to the earth's rotation. (b) Calculate the minimum amount of additional work required to move the space- craft from low earth orbit to a very great distance from the earth. Ignore the gravitational effects of the sun, the moon, and the other planets. (C) Justify the statement "In terms of energy, low earth orbit is halfway to the edge of the universe."

Question1.

Eris, the largest dwarf planet known in the Solar System, has aradius R = 1200 km and an acceleration due to gravity on itssurface of magnitude g = 0.77 m/s2.

(a) Use these numbers to calculate the escape speed from thesurface of Eris.
-> 1359.4116 m/s (Correct)

(b) If an object is fired directly upward from the surface of Eriswith half of this escape speed, to what maximum height above thesurface will the object rise? (Assume that Eris has no atmosphereand negligible rotation.)

-> 300047.8296 m (Incorrect) <======= This is my actualQuestion



Question 2.

A satellite is placed between the Earth and the Moon, along astraight line that connects their centers of mass.
The satellite has an orbital period around the Earth that is thesame as that of the Moon, 27.3 days. How far away from the Earthshould this satellite be placed?





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