You have a weight of W on earth. Find your new weight, in terms of W, if you go to a planet with a radius 3 times more a than Earth and a mass 2 times more than Earth.
A 6W
B 2W/3
C 2W/9
D 18W​

Respuesta :

leena

Hi there!

We know that the acceleration due to gravity is given by:

[tex]g = \frac{Gm_o}{r^2}[/tex]

We can plug in the given values assuming that the above equation represents the earth's gravitational acceleration:

[tex]g_{planet} = \frac{G(2m)}{(3r)^2} = \frac{2}{9}(\frac{Gm}{r})[/tex]

Since the acceleration due to gravity of this other planet is 2/9th of the acceleration due to gravity on earth, the weight:

W = mg, will also be 2/9ths of that of earth. The correct answer is C.