contestada

Planet X has a mass 7.27 times that of the
Earth and a radius 4.13 times the radius of
the Earth.
What is the acceleration due to gravity on
the surface of Planet X, measured in units of g
(the gravitational acceleration on the surface
of the Earth)?

Respuesta :

MechEngineer

Answer:

0.426g

Explanation:

Since the gravitational acceleration on a planet is in the following formula:

[tex]g = G\frac{M}{R^2}[/tex]

where G is the gravitational constant, M is the planet mass and R is the planet radius.

So if Planet X has a mass 7.27 times that of Earth and radius of 4.13 that of Earth, the ratio in gravitational acceleration g shall be

[tex]\frac{g_X}{g_E} = \frac{GM_X/R_X^2}{GM_E/R_E^2}[/tex]

[tex]\frac{g_X}{g} = \frac{M_X}{M_E}(\frac{R_E}{R_X})^2[/tex]

[tex]\frac{g_X}{g} = \frac{7.27}{4.13^2} = 0.426[/tex]

[tex]g_X = 0.426g[/tex]

Otras preguntas