Question

If radius of the earth is R at what height acceleration due to gravity becomes zero​

Answer 1

Answer:

At altitudes equal to the radius of the Earth, 6378 kilometers or so, the force drops to 1/4 to what it is on the surface but it is not zero. It is not zero even at 400,000 kilometers from the Earth - which is why the Moon is orbiting the Earth.

Answer 2

At height h=R/2 acceleration due to gravity becomes zero.

Explanation:

We know that

Acceleration due to gravity at surface of earth, g=$9.8m/s^2$

Let g' be the acceleration due to gravity at height h from  the surface of earth.

g'=0

R=Radius of earth

We know that the relation between g and g'

$g'=g(\frac{R}{R+h})^2$

$g'=g(\frac{R+h}{R})^{-2}$

$g'=g(1+\frac{h}{R})^{-2}$

$g'=g(1-\frac{2h}{R})$

Substitute the  values

$0=9.8(1-\frac{2h}{R})$

$1-\frac{2h}{R}=0$

$\frac{2h}{R}=1$

$h=\frac{R}{2}$

Hence,at height h=R/2 acceleration die to gravity becomes zero.

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https://brainly.in/question/7130294:Answered by The Vang