Europe is one of the moons of Jupiter. Europe is a moon of water surrounded by a

Question

Europe is one of the moons of Jupiter. Europe is a moon of water surrounded by a thin layer of ice. Europe's mass is 4.78x1022 kg and a diameter of 3130km. The moon has no significant atmosphere. Earth scientists plan a mission to send a remote control submarine to investigate the possibility of life in the oceans. If the submarine has circular windows with a radio of 10cm and can withstand a maximum force of 10kN. Determine the maximum depth to which can submerge the submarine. (Assume that the layer of ice is thin enough not to exert any pressure on the surface of Europa's ocean.)

Explanation / Answer

raiuds of circular window r = 10 cm = 0.01 m Area of circular window   A = r 2                                                = (0.01)2        force of sunmarine   F = 10 * 103 N        pressure  at botto P = F / A                        g h   = F /A ..........(1) density of Europe   = m / V Given mass of europe m = 4.78*1022 kg         diameter             d = 3130 km                                  = (4.78x1022 kg ) / ( 4/3)(3130*103 /2)3                                      = 2977 kg /m3          from equation (1)                 (2977)(9.8) h = 10*103 / (0.01)2                maximum depth to which can submerge the submarine                       h = 1.09*103   m                             = 1.09 km

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