Prove the 1/6th weight of body …
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Gaurav Seth 7 years, 2 months ago
The acceleration due to gravity is given by,
</header>g = GM/R2
</header>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
0Thank You