You are part of team designing a small submarine that will
descend to a depth of 40 m in the waters (temp 20 °C) off the New
Jersey shore. The submarine (mass 32000 kg, volume 30 m3) sinks on
its own. To return to the surface the submarine will inflate an
external balloon with 1000 moles of air.
a. Draw force diagrams for the ascent of the submarine back to the
surface. Choose the system of interest to be the submarine+balloon.
Include more than one diagram if you think it is necessary.
b. Draw a motion diagram for the ascent of the submarine back to
the surface.
c. Determine the acceleration of the submarine the moment the
balloon is completely full with air. State any significant
assumptions you make.
d. Is this acceleration likely to increase, decrease, or remain the
same as the submarine returns to the surface? Explain your
reasoning. (Based on your thinking about this question you might
want to go back and revise your force diagram(s) and motion
diagram).
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