Assuming earth to be spherical, at what height above the north pole, value of g is same as that on earth's surface at equator?
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Answer:
= 10.97 x 103 m = 11 km
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Assuming the required height to be much smaller than the radius of earth,
g ' =g(1− 2h /R)=g−ω 2 *R
2gh /r =ω 2 *R
h= (ω 2 R 2 )/2g={ (3600)4π 2 *6400000 2} / 2(9.8)(24) ≈ 10km
Answer is 10km.
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