A box weights $196N$ 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 $g=10m{s}^{-2}$ at the north pole and the radius of the earth $=6400km$):

Weight of box measured at north pole $\Rightarrow$

$w_p=196N=Mg,M=19.6$

Weight of box measured at equator,

$w_e=w_p-w^{2}R\times M$

$=196-(7.3\times 10^{-5}{)}^2\times 6400\times 10^3\times M$

$[w=7.3\times 10^{-5}radiusR=6400km]$

$=196-53.29\times 10^{-10}\times 6.4\times 10^6\times 19.6$

$=196-0.0341\times 19.6$

$w_e=195.32N$