Question

How to find the value of g by using G

Answer 1

Its value is 9.8 m/s2 on Earth. That is to say, the acceleration of gravity on the surface of the earth at sea level is 9.8 m/s2.

Answer 2

We know according to gravitational law ,

F= GMm/r^2

here F is force experienced by object m due to earth gravitational field. it is also known as gravitational force. it is equal to weight of body .so , F = mg

hence, mg =GMm/r^2

g= GM/r^2

here, G is gravitational constant

M is the mass of earth ,

r is the radius of earth.

so, G= 6.67 × 10^-11 Nm^2/Kg^2

M= 5.972 × 10^24 Kg

r= 6.4 × 10^6 m

after putting it we get, g = 9.8 m/s²

hence, value of g = 9.8 m/s²

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