1.

Where will you weigh more: at the equator or at the poles?

Answer»

I will weigh more at poles and weigh less at the equator since weight is the amount of force with which an object is pulled towards the center of earth.

W = m × g ….1

Where, W = Weight

m = mass

g = Acceleration due to gravity

Since, mass is constant all the time, so,

W ∝ g ….2

And we also know that,

g = G\(\frac{M}{R^2}\)

Where, G = Gravitational Constant

R = Radius of earth

M = Mass of earth

So, g ∝ \(\frac{1}{R^2}\)               ...........3

From the equations 2 and 3, we get,

W ∝ \(\frac{1}{R^2}\)

Since R is minimum at poles, so weight is maximum at poles and similarly since R is maximum at equator, so weight is minimum at equator.

Hence, we weigh more at poles than at equator.


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