The mass of earth is 80 times that of moon and its diameter is double

1.	The mass of earth is 80 times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is 9.8 ms–2 then the value of acceleration due to gravity on moon will be 1. 0.98 ms–2 2. 0.49 ms–2 3. 9.8 ms–2 4. 4.9 ms–2
Answer» 2. 0.49 ms^–2 ^{⇒ \(\cfrac{GM_3\times80}{(2R_ m)^2}\)} = 9.8 ^{⇒ \(\cfrac{GMm}{Rm^2}=\cfrac{9.8}{40}\)} = 0.49 m/s²

The mass of earth is 80 times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is 9.8 ms–2 then the value of acceleration due to gravity on moon will be 1. 0.98 ms–2 2. 0.49 ms–2 3. 9.8 ms–2 4. 4.9 ms–2

Answer»

2. 0.49 ms^–2

^{⇒ \(\cfrac{GM_3\times80}{(2R_ m)^2}\)} = 9.8

^{⇒ \(\cfrac{GMm}{Rm^2}=\cfrac{9.8}{40}\)} = 0.49 m/s²

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The mass of earth is 80 times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is 9.8 ms–2 then the value of acceleration due to gravity on moon will be 1. 0.98 ms–2 2. 0.49 ms–2 3. 9.8 ms–2 4. 4.9 ms–2

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