why do we consider the value of g to be 9.8 m/s² at the surface of the earth while measuring weight of an object?
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It should be noted that the strength of gravity is not a constant - as you get farther from the center of the earth, gravity gets weaker. It is not even a constant at the surface , as it varies from ~ 9.83 at the poles to ~ 9.78 at the equator. This is why we use the average value of 9.8 , or sometimes 9.81.
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