Submerging a Balloon
A sturdy balloon with volume 0.500 m3 is attached to a 2.50 Ă— 102-kg iron weight and tossed overboard into a freshwater lake. The balloon is made of a light material of negligible mass and elasticity (though it can be compressed). The air in the balloon is initially at atmospheric pressure. The system fails to sink and there are no more weights, so a skin diver decides to drag it deep enough so that the balloon will remain submerged.
(a) Find the volume of the balloon at the point where the system will remain submerged, in equilibrium.
(b) What’s the balloon’s pressure at that point?
(c) Assuming constant temperature, to what minimum depth must the balloon be dragged?
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