prove that gravitational acceleration at earth surface is 6 times the gravitational acceleration at moon surface ( given ME = 100 Mm and RE = 4 Rm)
Answers
Answer:
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Explanation:
Moon Gravity
The acceleration due to gravity on the surface of the moon is called the moon gravity.
The value of Moon’s gravity = 1.62 ms-2
Value Of g on Moon
The value of g is calculated as:
Mass of moon = 1/ 80 (1.2%) of Earth’s mass = 7.342 x 1022 kg
Moon’s radius = 1.74 x 106 m.
Using the formula
g = GM/r2
Putting the value of G = 6.673 x 10-11 Nm2 Kg-2and M and r in the above equation:
= 6.673 x 10-11x 7.342 x 1022 /(1.74 x 106 )2
On calculating we get
g(moon) =1.625 ms-2
Therefore, the value of g(moon) is 1/ 6 or 16.7% of g(earth's surface)
We can also say that the moon's gravity is 5 /6 or 83.33% less than the earth’s gravity.
Gravitational Force of Moon
Do you know why the weight of a body on the moon is 1 /6 of that on the earth?
Its because the gravitational force on the moon is 6 times lesser than the earth which is 1.625 ms-2and the weight is directly dependent on the gravitational acceleration.
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