# 13.50 - CP Submarines on Europa. Some scientists are eager to send a remote-controlled submarine to Jupiter's moon Europa to search for life in its oceans below an icy crust. Europa's mass has been measured to be 4.80 X 104 kg, its diameter is 3120 km, and it has no appreciable atmosphere. Assume that the layer of ice at the surface is not thick enough to exert substantial force on the water. If the windows of the submarine you are designing each have an area of 625 cm2 and can stand a maximum inward force of 8750 N per window, what is the greatest depth to which this submarine can safely dive?

To determine: The greatest depth to which the submarine can safely dive.Answer: The greatest depth to which the submarine can safely dive is.Explanation:The expression for the acceleration due to gravity for Europa is as follows,Here, is the acceleration due to gravity at the surface of Europa, is the universal gravitational constant, is the mass of the Europa and is the radius of the Europa.Substitute for , forand for.The expression for the pressure is as follows,Here, is the pressure, is the force and is the area of cross section.Substitute forand for.The expression for the depth of an object in a fluid is as follows,Here, is the depth and is the density of fluid.Substitute for, for and for.Therefore, the greatest depth to which the submarine can safely dive is.

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