Show that weight of an object on moon is 1/6 of its weight on earth.(given :mass of earth = 5.98 * 10 raised to 24 kg,mass of moon 7.36 *10 raised to 22 kg radius of earth 6.37 * 10 raised to 6m radius of the moon 1.74 * 10 raised to 6m

The acceleration due to gravity is given by,

g = GM/R2

Where, M is the mass of the planet or satellite where ‘g’ is to be found and R is its radius.

For Moon,

Mm = 7.36 × 1022 kg

Rm = 1.74 × 106 m

So, gm = GMm/Rm2

For earth,

Me = 5.98 × 1024 kg

Re = 6.37 × 106 m

So,

ge = GMe/Re2

Now,

gm/ge = (Mm Re2)( Me Rm2)

Plugging in the values we get,

gm/ge = 0.16

=> ge = gm/0.16 ≈ 6gm

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