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in Physics by (70.2k points)

Show that the weight of an object on moon is one-sixth of the weight on earth.

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Let mass of an object be m, its weight on earth means the force by which earth attracts it towards the centre.

where G = Gravitational constant, Me = Mass of the earth, m = Mass of object, Re = Radius of the earth Weight of an object on moon,

where Mm = Mass of the moon, Rm = Radius of the moon 

Dividing equation (i) by equation (ii), we get

We know that mass of earth is 100 times the mass of the moon. 

So, Me = 100 Mm 

And radius of earth is 4 times the radius of moon.

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