Derive the expression of variation of g with altitude.
Answers
Answered by
9
Force of gravity acting on a body of mass m on the earth surface = F = GMm/R^2 ____________ (1)
Where R is the radius of the earth (considering it a homogenous sphere)
and M here is the total mass of earth concentrated at its centre. G is the gravitational constant.
Now, from Newton’s 2nd Law of Motion,
F = mg.___________________(2)
Just to recapitulate, as a body falls downwards it is continuously acted upon by a force of gravity. The body thus possesses an acceleration, called Acceleration Due to gravity(g).
Where R is the radius of the earth (considering it a homogenous sphere)
and M here is the total mass of earth concentrated at its centre. G is the gravitational constant.
Now, from Newton’s 2nd Law of Motion,
F = mg.___________________(2)
Just to recapitulate, as a body falls downwards it is continuously acted upon by a force of gravity. The body thus possesses an acceleration, called Acceleration Due to gravity(g).
Answered by
1
Answer:
it is the correct answer.
Attachments:
Similar questions