juptiter's moon io has a mass of 8.94x10^22 kg and a radius of 1815 km. What is the acceleration due to gravity on the surface of io?
a. 4.33 m/s^2
b. 1.81 m/s^2
c. 2.51 m/s^2
d. 9.81 m/s^2

Respuesta :

Answer:

[tex]g=1.81\ m/s^2[/tex]

Explanation:

Mass of Jupiter's moon, [tex]M=8.94\times 10^{22}\ kg[/tex]

Radius, R = 1815 km

We need to find the acceleration due to gravity on the surface of Juptiter's moon. The formula for the acceleration due to gravity is given by :

[tex]g=\dfrac{GM}{R^2}[/tex]

G is universal gravitational constant

[tex]g=\dfrac{6.67\times 10^{-11}\times 8.94\times 10^{22}}{(1815\times 10^3)^2}\\\\g=1.81\ m/s^2[/tex]

So, the acceleration due to gravity on the Jupiter's moon is [tex]1.81\ m/s^2[/tex].