Derive
an expression for value of g at
height h?
Answers
Answered by
3
For acceleration due to gravity, at height h we have g'=g (1-2h/R), but when h=R/2, then g'=0, and if 2h>R, then g'=-ve.
Answered by
2
Answer:
Explanation:let we consider,
radius of earth R and mass is M
and we know that acceleration due to gravity at surface
g= GM/R^2. ---- (i)
G is universal gravitational constant.
consider, a mass m is at above the earth at height h and g ′ is acceleration due to gravity at height h.
Therefore,
g'=GM/(R+h)^2. ----- (ii)
divide, (ii) by (i)
g′/g= R^2/(R+h)^2
g'=gR^2/(R+h)^2
Or h<<<R,
=g(1− 2h/R)
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