Question

deduce mathematically weight of an object on the moon (wm/we=1/6→we=wn×6)​

Answer 1

Explanation:

I'll solve this approximately but you should use real values

mass of Earth is 6*10^24

mass of moon =7.35*10^22

radius of Earth =6400km

radius of moon =1737km

so I'll just approximate that mass of Earth is 100 times more than that of moon and Earth's radius is 4. times. more than moon

weight or forces =GMm/r^2

let's say M is mass of moon and m is the same object we use on both planets

and r is radius of moon

for an object on Earth weight =G100Mm/16r^2

100 M because mass of Earth is 100 times that of moon and 16r^2 because radius is 4 times

then just divide this

you get weight of earth /weight on moon

=100/16

=6.25

it would be 6 if you use real values tho it was approx