Question

if mass of moon is 1/100th the mass of earth and the radius of the moon is 1/4th of that of earth, find the ratio of acc. due to gravity on earth to the acc. due to gravity on moon

Answer 1

Hey friend,

Here's your answer,


Weight of an object on Moon = mgm = m GMm / Rm²


Weight of an object on Earth = mge = m GMe / Re²


But,

Me = 100 Mm

And,

Re = 4 Rm

Therefore,

Weight of an object on Earth = m 100/16 GMm / Rm²


Now,

Weight of an object on moon / Weight of an object on Earth

= 16/100

= 1/6

Therefore,

Weight of an object on moon = 1/6 × weight of an object on Earth

Hence,

The ratio becomes,

1/6 = 1:6


Hope this helps!!!!