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Q.

A box weighs 392N 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

394.32 N

b

390.2 N

c

390.68 N

d

392.58 N

answer is C.

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Detailed Solution

At pole, weight  =mg=392                                        ⇒m=39.2kg    At equator,  weight =mg−mω2R      =392−39.22π864002×6400×103=392-39.2(39.44)64000007464960000=392-1.325=390.675N
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