Question

Calculate the distance from the surface of the earth at which the acceleration due to gravity is the same below and above the surface of the earth.

Answer 1

Answer:

see answer in attachment.....

mark it as brainliest...

Answer 2

From the distance of   $\left(\frac{\sqrt{5}-1}{2}\right) R$  The acceleration due to gravity is same.

Given:

Acceleration due to gravity is the same below and above the surface of the earth.

To find:

Distance from the surface of the earth at which the acceleration due to gravity is the same below and above the surface of the earth.

Formula used:

g below surface = $\frac{G M}{R^{3}}(R-x)$

g above surface = $\frac{G M}{(R+x)^{2}}$

Explanation:

The acceleration due to gravity is same below and above earth surface.

So  g below surface = g above surface

              $\frac{G M}{R^{3}}(R-x)$  =  $\frac{G M}{(R+x)^{2}}$

From solving above equation,

                     $x=\left(\frac{\sqrt{5}-1}{2}\right) R \text { or } 0$

So from the distance of   $\left(\frac{\sqrt{5}-1}{2}\right) R$  The acceleration due to gravity is same.

To learn more...

1)Calculate the value of acceleration due to gravity on the surface of the mars. (Mass of mars =6.4×10^23 radius =3400 km).

https://brainly.in/question/6360178

2)What do you mean by acceleration due to gravity? Write its numerical value and unit. Derive it’s unit from the formula g = GM /R2

https://brainly.in/question/1595444