If a person weighs 750N on earth,how much would be his weight on the Moon given that Moon's mass is 1/81 of that of the earth and its radius is 1/3.7 of that of the earth? Copied Answers are Prohibited! Try to give as it in your own n understandable way.
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Answered by
9
Given :-
Weight of person on earth = 750 N.
W = mg
m = 750/g
Mass of Moon = Mm = 1/81 Me
Radius of Moon = Rm = 1/3.7 Re
As we know that,
gm = GMm/(Rm)²
gm = G(1/81 Me)/(1/3.7 Re)²
gm = 0.169[GMe/(Re)²]
gm = 0.169 g
Wm = m.gm
Wm = 750/g × 0.169 g
Wm = (750 × 0.169)N
Wm = 126.75 N
Hence,
The weight of person on Moon = Wm = 126.75 N
Answered by
7
Answer:
Weight on earth =mg=750
m=750/g
g= (GM/r^2) on earth.
Mass of moon, Mm=m/81
Radius of moon, rm= r/3.7
gm=GMm/r^2m =0.169(GM/r^2)
gm=0.169
So, weight on moon = mgm
= 250/g * 0.169 g
= 126.75 N
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