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Which one of the following statements is correct?
Acceleration due to gravity decreases with the increase of altitude
Acceleration due to gravity increases with the increase of depth (assuming earth to be a sphere of uniform density)
Acceleration due to gravity decreases with the increase of latitude
Acceleration due to gravity is independent of the mass of the earth
Gravity decreases with altitude as one rises above the Earth's surface because greater altitude means greater distance from the Earth's centre. An approximate value for gravity at a distance r from the centre of the Earth can be obtained by assuming that the Earth's density is spherically symmetric. The gravity depends only on the mass inside the sphere of radius r. All the contributions from outside cancel out as a consequence of the inverse-square law of gravitation. Gravitational Force hence the acceleration is dependent on mass The radius of earth decreases as we move from lower to higher latitudes that from equator towards pole. So the distance from centre decreases hence force is high
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