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

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

Step-by-step explanation:

As we know

Gravitational force F =
`(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 = (6.67*10^(−11)*6*10^(24)* m)/((6400*10^3)^2)`

`m = 71.6` Kg

Gravitational force in the satellite

`F = (6.67*10^(−11)*6*10^(24)* m)/((6400*10^3 + 1600 *10^3)^2)\\F = 448`N