Q. 265.0( 2 Votes )

A body stretches a spring by a particular length at the earth’s surface at equator. At what height above the South Pole will it stretch the same spring by the same length? Assume the earth to be spherical.

Answer :

For the stretch to be of same length, the value of acceleration due to gravity at both the places should be same.

Acceleration due to gravity at equator


Acceleration due to gravity at a height above south pole


Now,






Hence, at about 10 kms above the south pole, the spring will have the same elongation as that at the equator.


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