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 9.8ms−2 then the value of acceleration due to gravity on moon will be?
0.98ms−2
0.49ms−2
9.8ms−2
4.9ms−2
A
0.98ms−2
B
4.9ms−2
C
0.49ms−2
D
9.8ms−2
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Solution
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Given Mass of earth =80 Mass of moon and diameter of earth = 2 diameter of moon and acceleration due to gravity o earth= 9.8 m/s2
From the formula of acceleration due to gravity
g=GMR2
Now dividing the acceleration due to gravity of moon to acceleration due to earth we get
gMgE=GMMRMGMERE=480gM=9.820=0.49m/s2
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