A body is taken from the surface of the earth to the moon. Will its weight increase or decrease? Justify your answer.

When a body is taken from earth to the moon, then its weight will decrease to one – sixth its weight on earth.

Explanation:


Suppose we have an object of mass = m also let the weight on moon be and weight on earth be.


Now, weight of object on moon will be:


…..1


Now the weight is actually the force with which moon attract the object.


M = Mass of Moon


r = radius of Moon


Now, we know


Mass of earth = 100 times mass of moon


Radius of earth = 4 times radius of moon


So, weight of object on earth will be given by:


…..2


Now, dividing equation 1 by 2, we get,



Thus we can say that weight of an object on the moon one-sixth its weight on the earth.


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