Question

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

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Updated on : 2022-09-05
Solution
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Verified by Toppr

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 centre of earth.

........... 1 

Where, = Weight

= mass

= Acceleration due to gravity

Since, mass is constant all the time, so,

    ........2 

And we also know that , 

 

Where, = Gravitational Constant

= Radius of earth

= Mass of earth

So, .......... 3 

From equations and , we get , 

 


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

Hence, we weigh more at poles than at equator


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