You need the ratio of g' on Europa to g on Earth. That ratio is
g'/g
= (Meuropa/Mearth)(Rearth/Reuropa)^2
Look up the numbers you need and compute the ratio. Then get g', the value on Europa.
For the pressure at depth h, the pressure will be
P = (water density)g' h
Europa, a satellite of Jupiter, appears to have an ocean beneath its icy surface. Proposals have been made to send a robotic submarine to Europa to see if there might be life there. There is no atmosphere on Europa, and we shall assume that the surface ice is thin enough that we can neglect its weight and that the oceans are fresh water having the same density as on the earth. The mass and diameter of Europa have been measured to be 4.78×1022kg and 3130km , respectively. If the submarine intends to submerge to a depth of 150m , what pressure must it be designed to withstand? If you wanted to test this submarine before sending it to Europa, how deep would it have to go in our oceans to experience the same pressure as the pressure at a depth of 150m on Europa?
From what I can see with this question, the first thing to do is convert the 3130km to 3.13*10^6 m. Then doesn't pressure equal P(atmosphere) + h*g*density of fluid? I have no idea how to work out this problem. I don't want an answer, I just want to understand how to get it.
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