Q.

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)

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a

194.32 N

b

194.66 N

c

195.32 N

d

195.66 N

answer is C.

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Detailed Solution

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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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)