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.