A spherical weather balloon is filled with hydrogen until its radius is 3.00 m.

Question

A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 13.0 kg.
(a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3.
__________N
(b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground?
_____________ N

(c) Why does the radius of the balloon tend to increase as it rises to higher altitude?
Because the external pressure select (decreases or increases )

with Select (increasing or decreasing altitude).

Explanation / Answer

Data: Radius, r = 3 m Mass, m = 13 kg Density of air, = 1.29 kg/m^3 Solution: (a) Volume of the balloon, V = (4/3) r^3                                        = (4/3) * * 3^3                                        = 113.1 m^3 Buoyant force, Fb = Weight of the air displaced                              = V g                              = 1.29 * 113.1 * 9.8                              = 1429.78 N Ans: Buoyant force, Fb = 1429.78 N (b) Net force, Fnet = Fb - W                         = Fb - mg                         = 1429.78 - ( 13 * 9.8 )                         = 1302.38 N Ans: Net force, Fnet = 1302.38 N (c) It is because the external pressure DECREASES with INCREASING ALTITUDE

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