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let the objects mass be A on Earth,
and mass be M
and it's radius be R
let the object's mass be M1
then,
(GM1 M2)/R^2 = A ---------(1)
given that mass of earth is 100 times of moon and it's radius is 4times the moon
then, mass of moon = M/100
radius of moon = R/4
the mass of object is going to be constant
apply the formula for finding weight on a planet,
G (M/100)(M1) / (R/4)^2
= (16 GMM1)/ 100R^2
= 1/6.25 ( GMM1/ R^2)
from 1 we know that ( GMM1/ R^2) has a value of A
so,
= 1/6.25 (A)
= 1/6(A) (approx.)
so, the weight of that object would be 1/6 on moon than that of in earth.
and mass be M
and it's radius be R
let the object's mass be M1
then,
(GM1 M2)/R^2 = A ---------(1)
given that mass of earth is 100 times of moon and it's radius is 4times the moon
then, mass of moon = M/100
radius of moon = R/4
the mass of object is going to be constant
apply the formula for finding weight on a planet,
G (M/100)(M1) / (R/4)^2
= (16 GMM1)/ 100R^2
= 1/6.25 ( GMM1/ R^2)
from 1 we know that ( GMM1/ R^2) has a value of A
so,
= 1/6.25 (A)
= 1/6(A) (approx.)
so, the weight of that object would be 1/6 on moon than that of in earth.
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