<p>The density of the atmosphere of Mars is 0.0154kg / m³. Planning a

Question

<p>The density of the atmosphere of Mars is 0.0154kg / m³. Planning a mission to explore the<br />surface of Mars using balloons suspended just above the surface. If the balloons are made<br />of a thin material with mass per unit area of 5g / m² and are inflated with a very light gas of negligible mass, determine:<br /><br />a)The diameter of the balloons so that they could hold in the air just above the Martian surface.<br /><br />b)If the diameter of these balloons were three times the diameter of part a, determine how much mass of<br />instruments could be carried.</p>

Explanation / Answer

Balance the downward force due to gravity with the upward force due to difference in pressure as

*4pi*r^2=(4/3)pi*r^3, is the atmospheric density on mars, is the areal mass density of balloon material.

r=15/15.4=0.97m

in b) part, extra mass that can be carried=(4/3)pi*r1^3-*4pi*r1^2, r1=3*r

=18*(4/3)pi*r^3=1.07 Kg

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