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Question

Question: A body weighs 1 kg by a spring balance at the north pole. What will it weigh at the equator ?...

A body weighs 1 kg by a spring balance at the north pole. What will it weigh at the equator ?

A

0.977 kg

B

0.967 kg

C

0.987 kg

D

0.997 kg

Answer

0.997 kg

Explanation

Solution

mg'= mg[1Rω2g]\left\lbrack 1 - \frac{R\omega^{2}}{g} \right\rbrack

= 1[16400×103×(2π)210×(3600×24)2]=0.997kg\left\lbrack 1 - \frac{6400 \times 10^{3} \times (2\pi)^{2}}{10 \times (3600 \times 24)^{2}} \right\rbrack = 0.997kg