Answer:
V' = 4.56Km/s
Explanation:
We can use the formula of Orbital Speed, who say,
[tex]V = \sqrt{\frac{GM}{r}}[/tex]
The relative velocity is given by,
[tex]V' = \sqrt{\frac{GM}{r'}}[/tex]
We need to find the relation between the two speeds,
[tex]\frac{V'}{V} = \sqrt{\frac{GM}{r}*\frac{r'}{GM}}[/tex]
[tex]\frac{V'}{V} = \sqrt{\frac{r}{r'}}[/tex]
[tex]V' = V \sqrt{\frac{r}{r'}}[/tex]
Substituting,
[tex]V' = (5)*\sqrt{\frac{5000}{6000}}[/tex]
[tex]V' = 4.56Km/s[/tex]
