Question

Show that weight of an object on the moon is 1/6 of its weight on the earth

Answer 1

GMm/rsquare=g
the value of g is going to be
g=G•mass of earth•mass of object/radius of earth square
and g on moon is going to be
g=G•mass of moon•mass of object/radius of moon square
but the mass of earth is 100 times of moon and the radius of moon is 4 times the radius of moon
we are going to consider the value of object 1 kg in both the cases
we will substitute the value
g on moon is going to be same but g on earth
g=100mass of moon•1kg/16 radius square

radius of moon/radius of earth=
G•mass of moon•1 kg/radius of moon square/G•100mass of moon•1 kg/16 radius of moon
G•mass of moon•1 kg/radius of moon square•100mass of moon•1kg/16radius of moon square
by cutting the values we get
16/100 which is approximately equal to 1/6


I have used • to show multiplication and / to divide
I hope it is going to be clear;-)