Check the correctrness of g=Gm/R2
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Explanation:
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What is your question?
Secondary School Physics 6 points
B. Prove that g=
GM/ R2
Taking G-6.67 x 10
11 Nm2 kg -2, M 6 kg and R
6.4 m. determine the value of acceleration due to gravity
of the earth.
Ask for details Follow Report by Jabed786 11.11.2017
Answers
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From the universal law of gravitation we get,
Force between 2 bodies is equal to G×M×m/R^2
where G- universal gravitational constant.
M- Mass of the bigger body
m- Mass of the smaller body
R- Difference between the centers(C.O.G) of the 2 bodies.
But, we also know that the force or weight of an object ON EARTH is equal to m×g
where m- the mass if object
g- acceleration due to gravity on earth
So mg=GMm/R^2
therefore, g=GM/R^2
Calculating acceleration due to gravity of earth
Given- Mass of earth(M)- 6×10^24Kg
G- 6.67×10^-11
R- 6.4×10^6
thus, by putting in the values
g=GM/R^2
g=(6.67×10^-11)×(6×10^24)/(6.4×10^6)^2
and so, value of g at earth comes out to be approximately 9.81m/s^2