Register to reply

Question on gravitational field

by gaobo9109
Tags: field, gravitational
Share this thread:
gaobo9109
#1
Jul25-10, 04:38 AM
P: 69
1. The problem statement, all variables and given/known data
Considering only the gravitational fields of the Earth and the Moon, find the distance from the Earth at which a space capsule travelling between the Earth and the Moon is subject to zero gravitational force.

Mass of the Earth = 5.98 x 1024kg
Mass of the Moon = 7.35 x 1022kg
Radius of Moon's orbit = 3.84 x 108m
Radius of the Earth = 6.38 x 106m
Radius of the Moon = 1.74 x 106m


2. Relevant equations



3. The attempt at a solution

Let x be the distance between the centre of earth and the point of zero gravitational field

Gravitational field due to Earth = Gravational field due to Moon
GME/x2 = GMM/(R - x)2
(ME/MM)1/2=x/(R-x)
x = (ME/MM)1/2R/((ME/MM)1/2 +1)
= 3.79 x 108

But the answer provided is 3.46 x 108

Can anyone tell me where I went wrong?
Phys.Org News Partner Science news on Phys.org
Final pieces to the circadian clock puzzle found
A spray-on light show on four wheels: Darkside Scientific
How an ancient vertebrate uses familiar tools to build a strange-looking head
Filip Larsen
#2
Jul25-10, 05:13 AM
PF Gold
Filip Larsen's Avatar
P: 961
Since the symbolic result is correct you must have made an error during the actual calculation of the number.


Register to reply

Related Discussions
Gravitational Field Related Question Introductory Physics Homework 5
Gravitational Field Question Introductory Physics Homework 4
Electric field and gravitational field question Introductory Physics Homework 2
Gravitational Field question... Introductory Physics Homework 6
Gravitational Field question Introductory Physics Homework 7