Answer:
Explanation:
The satellite revolves around moon due to centripetal force which is provided by gravity  in this context so we can equate gravity and centripetal force.
         [tex]mrw^{2} = \frac{GMm}{R^{2} }[/tex]
where, m is mass of satellite
      M is mass of moon
      ω is angular velocity
      G is Universal gravitational constant
      R is the radius of moon
from the above equation we get ω as,
             [tex]w=\sqrt{\frac{GM}{R^{3} } }[/tex]
                [tex]T = \frac{2\pi }{w}[/tex]
                  [tex]T= 2\pi \sqrt{\frac{R^{3} }{GM} }[/tex]
   here M = 7.36 X 10^22
        R = 1.738 X 10^6
        G =6.67 X 10^-11
       [tex]T= 2X3.14 \sqrt{\frac{(1.738 X 10^6)^{3} }{6.67 X 10^-11 X 7.36 X 10^22} }[/tex]
           T= 6.50 X 10^3 seconds
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