Posted by john on Tuesday, February 28, 2012 at 11:08pm.
Calculate the position of the center of mass of the following pairs of objects. Use acoordinate system where the origin is at the center of the more massive object. Give youranswer not in meters but as a fraction of the radius as requested. Get data from insidethe front cover of your text.
Earth Radius = 6.37x10^6 m
Moon Radius = 1.74x10^6 m
Jupiter Radius = 1.90x10^7 m
Earth to moon distance = 3.84x10^8 m
earth to sun 1.496x10^11m
jupiter to sun 7.78x10^11 m
(a) The Earth and the Moon. Give the answer as a fraction of the earth's radius.
(b) The Sun and the Earth. Give the answer as a fraction of the sun's radius.
(c) The Sun and Jupiter. Give the answer as a fraction of the sun's radius.
please show how to get it i am really stuck.

Physics Please help!  Steve, Wednesday, February 29, 2012 at 11:25am
Just think of the planets as point masses on a lever. We want the lever to balance, where the fulcrum is the center of mass.
So, m1d1 = m2d2
or, m1/m2 = d2/d1
For earthmoon,
d = 3.84x10^8 = d1+d2
earth mass = 5.9742x10^24
moon mass = 7.3477x10^22
m1/m2 = 81.307
so, 82.307 * d1 = 3.84x10^8
d1 = 4.7228x10^6
So, the center of mass for the earthmoon system is 4.7228x10^6m from the center of the earth.
4.7228x10^6/3.84x10^8 = 0.0123 of earth radius
do similar work for the other systems

Physics  PS  Steve, Wednesday, February 29, 2012 at 11:27am
Oops. I figured as a fraction of the earthmoon distance, not the earth radius.
4.7228x10^6/6.37x10^6 = 0.74 of earth radius
Answer This Question
Related Questions
 Physics  Calculate the position of the center of mass of the following pairs of...
 Physics  Calculate the position of the center of mass of the following pairs of...
 College physics  Center of mass  College Physics Center of Mass? The objects ...
 physics  i am going a center of gravity problem, with the x=w1(x1)+w2x2..../ W1...
 physics  our objects are situated along the y axis as follows: a 1.94 kg object...
 Physics  What is the force of gravity at 220 miles above Earth's surface? ...
 Physics  Consider the following distribution of objects: a 4.00kg object with...
 Physics  Consider the following distribution of objects: a 4.00kg object with ...
 Physics  Consider the following distribution of objects: a 4.00kg object with ...
 Physics  Consider the following distribution of objects: a 4.00kg object with...
More Related Questions