Question

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
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Answer 1

Answer:

The magnitude of the gravitational force which the astronaut experience in satellite $= 448$ Newton

Explanation:

As we know

Gravitational force  F = $\frac{GMm}{r^2}$

Where G is the gravitational constant $6.67 * 10^{-11}$

M is the mass of earth $= 6* 10^{24}$

m is not given

r is the radius of earth $6 400*10^3$

Substituting the given values, we get -

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

$m = 71.6$ Kg

Gravitational force in the satellite

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