Asked by Osamudiamen

How far is the center of mass of the Earth-Moon system from the center of the Earth? The Earth's mass is 5.97e24 Kg, the Moon's mass is 7.4e22 Kg, and the distance between their centers is 3.8e8m.
Answered by Steve
draw a line between earth's center E and moon's center M. Let the system center of mass be at C. If EC=x,

5.97*10^24*x = 7.4*10^22*(3.8*10^8-x)
x = 4.65*10^6

Note that C is very close to E. In fact, it is only

Mm/(Me+Mm) = 1.24% of the way to the moon.
Answered by justus
if C is too close to earth,steve ans is wrong then.it should be a relatively small value compared to 4.65×10^6
Answered by Anonymous
its quite simple .understand as in the concept of moments.f1d1=f2d2...... centre of mass is like c.o.g of a system
Answered by Anonymous
but the guy is correct anyway.
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