At some place on the equator,a bag of sugar w | vedclass

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Question

(A) The weight of an object is given by the formula $W = mg$,where $m$ is the mass and $g$ is the acceleration due to gravity.The value of $g$ depends

Vedclass · Accepted Answer

It will weigh more.

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(A) The weight of an object is given by the formula $W = mg$,where $m$ is the mass and $g$ is the acceleration due to gravity.The value of $g$ depends on the radius of the Earth $(R)$ as $g = \frac{GM}{R^2}$.The Earth is not a perfect sphere; it is flattened at the poles and bulges at the equator. Therefore,the radius of the Earth at the equator is greater than the radius at the poles.Since $g$ is inversely proportional to the square of the radius $(g \propto \frac{1}{R^2})$,the value of $g$ is lower at the equator and higher at the poles (like Antarctica).Consequently,the weight of the bag of sugar will be more when taken to Antarctica compared to its weight at the equator.

At some place on the equator,a bag of sugar weighs $W \ kg$. Will it weigh the same,more,or less when taken to Antarctica? Give a reason for your answer.

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