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Questions  

A box weighs 196N 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 = 10 ms-2 at the north pole and the radius of the earth = 6400km)

a
194.32 N
b
194.66 N
c
195.32 N
d
195.66 N

detailed solution

Correct option is C

At pole, weight  =mg=196                                        ⇒m=19.6kg    At equator,  weight =mg−mω2R      =196−19.62π864002×6400×103=196-19.6(39.44)64000007464960000=196-0.663=195.32N

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The angular speed of earth, so that the object on equator may appear weightless, is (g=10m/s2, radius of earth 6400 km)


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