A spherical weather balloon is filled with hydrogen until itsradius is 3.50 m. I

Question

A spherical weather balloon is filled with hydrogen until itsradius is 3.50 m. Its total massincluding the instruments it carries is 13.0 kg. (a) Find the buoyant force acting on theballoon, assuming the density of air is 1.29 kg/m3.
1 N

(b) What is the net force acting on the balloon and its instrumentsafter the balloon is released from the ground?
2 N

(c) Why does the radius of the balloon tend to increase as it risesto higher altitude?
Because the external pressure 3---Select---decreasesincreases with 4---Select---decreasingincreasing altitude. (a) Find the buoyant force acting on theballoon, assuming the density of air is 1.29 kg/m3.
1 N

(b) What is the net force acting on the balloon and its instrumentsafter the balloon is released from the ground?
2 N

(c) Why does the radius of the balloon tend to increase as it risesto higher altitude?
Because the external pressure 3---Select---decreasesincreases with 4---Select---decreasingincreasing altitude.

Explanation / Answer

Mass m = 13 kg Density of air D = 1.29 kg / m^ 3 volume V = ( 4/3)r^ 3                = 179.59 m ^ 3 (a).Buoyant force F = VDg                                = 2270.43 N (b).weight W = mg = 127.4 N net force f = F - W                  =2143.03 N (c).Because the external pressure decreases with increasing altitude. volume V = ( 4/3)r^ 3                = 179.59 m ^ 3 (a).Buoyant force F = VDg                                = 2270.43 N (b).weight W = mg = 127.4 N net force f = F - W                  =2143.03 N (c).Because the external pressure decreases with increasing altitude.

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