R = 0.955 m Part D Would it go up or down? If we released one of the balloons fr

Question

R = 0.955 m

Part D

Would it go up or down? If we released one of the balloons from part A on earth, where the atmospheric density is 1.20 kg/m, what would be its initial acceleration ass same size as on Mars? It has been proposed that we could explore Mars using inflated balloons to hover just above the surface. The buoyancy of the atmosphere would keep the balloon aloft. The density of the Martian atmosphere is 0.0154 kg/m^3 (altheugh this varies with temperature). Suppose we construct these balloons of a thin but tough plastic having a density such that each square meter has a mass of 4.90 g. We inflate them with a very light gas whose mass we can neglect. If on Mars these balloons have five times the radius found in part A, how heavy an instrument package could they carry?

Explanation / Answer

Buoyant Force = mtotal g

Rhoair Vg = (mballoon + mload) g

mload = Rhoair V - mballoon

           =(0.0154)*(4pi/3)*(5*0.9545)^3 - 4.9*10^-3*(4pi)*(5*0.9545)^2

         = 5.61 kg

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