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.

Question

Philoid · Accepted 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.