Question
Tue September 24, 2013 By: Rheamaria Jose
 

how will we prove that the equation for weight in moon is 1/6

Expert Reply
Faiza Lambe
Tue September 24, 2013

The acceleration due to gravity is given by,

g = GM/R2 

Where, M is the mass of the planet or satellite

               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/Re 2

 

Now,

gm/ge = (Mm Re2) / ( Me Rm2)

Substituting the values, we get,

gm/ge = 0.16 = 1/6

=> gm = ge/6

Thus, gm = 1/6.

 Hence we prove that the equation for weight in moon (gm) is 1/6 .

 

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