Question

A man's weight when taken at the pole is 600N . will his weight remain the same when measured at the equator ? will there be an increase or decrease in his weight ? Explain​

Answer 1

Step-by-step explanation:

$Increase$

Explanation:

At the poles: distance from the centre of earth is lesser than that from equator. As g is inversely proportional to the distance, and distance is decreased, it must increase.  

         Mathematically:

Force = mg = Gmm₁/r²

               g = Gm₁/r²

At the equator, G = 6.67430 x 10⁻¹¹  & m(mass of earth) = 5.972 × 10^24 kg

r(radius of earth, from the view of eq.) = 6378 km. Based on these values(or their approximations:

       g = 9.78 m/s²

But at the poles: radius = 6357 km,  thus,

at poles, g' = 9.832 m/s   (on calculations)