An astronaut in a satellite 1600km above the Earth experience a gravitational force magnitude 700N on earth.The Earth's radius is 6400km calculate the magnitude of the gravitational force which the astronaut experience in satellite

Respuesta :

Answer:

The magnitude of the gravitational force which the astronaut experience in satellite [tex]= 448[/tex] Newton

Explanation:

As we know

Gravitational force  F = [tex]\frac{GMm}{r^2}[/tex]

Where G is the gravitational constant [tex]6.67 * 10^{-11}[/tex]

M is the mass of earth [tex]= 6* 10^{24}[/tex]

m is not given

r is the radius of earth [tex]6 400*10^3[/tex]

Substituting the given values, we get -

[tex]F = \frac{6.67*10^{−11}*6*10^{24}* m}{(6400*10^3)^2}[/tex]

[tex]m = 71.6[/tex] Kg

Gravitational force in the satellite

[tex]F = \frac{6.67*10^{−11}*6*10^{24}* m}{(6400*10^3 + 1600 *10^3)^2}\\F = 448[/tex]N