Effect of g on Earth??
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Gravity is measured by the acceleration that it gives to freely falling objects. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second.
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Earth as assumed to be a uniform solid sphere with a mean density. We know that,
Density = mass/volume
Then, ρ = M/[4/3 πR3]
⇒ M = ρ × [4/3 πR3]
We know that, g = GM/R2.
On substituting the values of M we get,
g = 4/3 [πρRG]
At any distance ‘r’ from the centre of the earth
g = 4/3 [πρRG]
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