Gravitation

JEE Main level, single correct, medium

88 of 223

Question 88 of 223

A box weighs 196N196N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g=10ms−2g=10{ms}^{-2} at the north pole and the radius of the earth =6400km=6400km ):

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Answer: (D) 195.32N195.32N

At pole, weight mg=196mg=196
m=19.6kgm=19.6kg
At equator, weight =mg−mω2R=mg-m{\omega }^{2}R
=196−(19.6)[2π24×3600]2×6400×103=196-\left(19.6\right){\left[\dfrac{2\pi }{24\times 3600}\right]}^{2}\times 6400\times {10}^{3}
=195.32N=195.32N

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