Physics, asked by Kinddy28, 11 months ago

Write an expression showing the variation of acceleration due to gravity with height above the surface of the earth.

Answers

Answered by Balaram123
1

Answer with

Explanation:

Answers

sssrohit005p4c0ey

Sssrohit005p4c0ey

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).

From equation 1 and 2 we can write

mg = (GMm) / R^2

=> g = GM / R^2 _______________ (3)

Another expression of g here:

If mean density of earth is p then mass of the earth = M = volume X density = (4/3) Pi R^3 p

(Pi = 22/7)

g = G.( (4/3) Pi R^3 p) / R^2

g = (4/3) Pi R p G ________________ (4)

MARK IT AS BRAINLIEST

Similar questions