Question

Suppose you live 12 Earth radii away from the center of the Earth, in outer space. Your weight would be:

Answer 1

Your weight would be 0.0069mg (kg)

The gravity of earth at height h is given by the formula

g'=$\frac{g}{(1+[tex]\frac{h}{r}$)^2}[/tex]

Here, h is the height from the earth surface, since you 12 radii away from the earth, your distance from the surface of the earth would be 11 earth radii.

Now plugging the values in the above equation

g'=g/(1+11r/r)^2

g'=0.0069g

Therfore your weight would be 0.0069mg (kg)

here, m is your mass.

Answer 2

The gravity of earth at height h is given by the formula

g'=)^2}[/tex]

Here, h is the height from the surface of earth, since you 12 radii away from the earth;

The distance from the surface of the earth would be 11 earth radii.

Now putting the values in the above equation, we get

g'=g/(1+11r/r)^2

g'=0.0069g

Therefore, the weight would be 0.0069*m*g (kg)

Here, m is the mass of person.