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Atoms And Molecules

Question
CBSEENSC9006245

Suggest a method for calculating the mass of the moon.

Solution

The acceleration produced on the surface of moon is given by, 
                     straight a space equals space fraction numerator GM subscript straight m over denominator straight R subscript straight m superscript 2 end fraction
therefore space space space space space Mass space of space the space moon comma space straight M subscript straight m space equals space fraction numerator aR subscript straight m superscript 2 over denominator straight G end fraction

Thus knowing acceleration a, radius Rm of the moon and G, the mass of the moon can be determined.