Answer:
1.12 m/s
Explanation:
We are given that
Diameter of Europa=d=3130 Km
Radius of Europa =[tex]r=\frac{d}{2}=\fra{3130}{2}=1565 Km=1565\times 10^3 m[/tex]
1 km=[tex]10^3 m[/tex]
Mass of Europa,m=[tex]4.78\times 10^{22} kg[/tex]
We have to find the velocity of astronaut on the surface of Europa if her legs are 0.960 m long.
d=0.960 m
Acceleration due to gravity on the surface of Europa
[tex]g=\frac{GM}{r^2}[/tex]
Where [tex]G=6.67\times 10^{-11}Nm^2/kg^2[/tex]
Substitute the values
[tex]a=\frac{6.67\times 10^{-11}\times 4.78\times 10^{22}}{(1565\times 10^3)^2}[/tex]
g[tex]=1.3 m/s^2[/tex]
[tex]v=\sqrt{gd}=\sqrt{1.3\times 0.960}=1.12 m/s[/tex]
