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110 kg/m^3 181 kg/m^3 134 kg/m^3 161 kg/m^3 What force does the water exert (in

ID: 1450288 • Letter: 1

Question

110 kg/m^3 181 kg/m^3 134 kg/m^3 161 kg/m^3 What force does the water exert (in addition to that due to atmospheric pressure) on a submarine window of radius 44.0 cm at a depth of 9400 m in sea water? The density of sea water is 1025 kg/m^3. 5.74 Times 10^7 N 5.74 Times 10^11 N 2.87 Times 10^11 N 1.83 Times 10^7 N 2.87 Times 10^7 N A crane lifts a steel submarine of density 7800 kg/m^3 and mass 20,000 kg. What is the tension in the lifting cable when the submarine is submerged in water of density 1000 kg/m^3, and when is entirely out of the water? 2.0 Times 10^5 N, and 1.7 Times 10^5 N 1.7 Times 10^5 N, and 2.0 Times 10^5 N 2.6 Times 10^3 N, and 2.0 Times 10^5 N

Explanation / Answer

A)   density   =   mass /volume

                     =   107/(4/3 * 3.14 * 0.521 * 0.521 * 0.521)

                    = 181   kg/m3

=>   option (B) is correct .

B)     Force   = pressure * area

Here, pressure = 1025 * 9.8 * 9400

                          = 94423000 N/m

=> Force =   94423000 * 3.14 * 0.44 * 0.44

                = 5.74 * 107 N

=>   option (A) is correct .

C)   a) when submarine is submerged   = 20000 * 10   - (1000 * 2.564 * 10)

                                                                =   1.7 * 105 N

    b)   when submarine is out of water =    20000 * 10 = 2 * 105 N

=>   option (B)   is correct   .