Answer:
a) [tex]r_{cm} = 4672 km[/tex]
b)r_cm = 0.733 R_{earth}
Explanation:
Location of center of mass of Earth- moon system is
[tex]r_{cm}= \frac{M_{earth}r_{earth}+M_{moon}r_{moon}}{M_{moon}+M{earth}}[/tex]
[tex]r_{cm}= \frac{6\times10^{24}(0)+7.34\times10^{22}384000\times1000}{6\times10^{24}+7.34\times10^{22}}[/tex]
=4.672×10^(6) m
a) [tex]r_{cm} = 4672 km[/tex]
b) [tex]\frac{r_{cm}}{R{earth}} = \frac{4672}{6371} = 0.733[/tex]
therefore
r_cm = 0.733 R_{earth}
