Question

Is the acceleration due to gravity of earth ‘g’ always a constant every place ? Explain.

Answer 1

yes the acceleration is same due to gravity

Answer 2

Hello mate.

thanks for asking this useful question.

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As you know that ,

$\boxed {g\:= \frac{GM}{r^2}}$

as u can see in this equation , the value of 'g' i.e. acceleration due to gravity is inversely proportional to the square of distance between earth centre and body.

The earth is not perfectly Round , because it is more in radius in equator region and less in poles region.

so, according to inverse square law ,

$\boxed {g \: \: \alpha \: \: \frac{1}{ {r}^{2} }}$

hence , more the radius , less will be the value of 'g' , and lesser be the radius , more will be the value of 'g'.

so , value of acceleration due to gravity is not constant at every place but changes as radius of the earth changes .

Hope u understood ^_^

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