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A spherical weather balloon is filled with hydrogen until its radius is 3.40 m. Its total...

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Physics

A spherical weather balloon is filled with hydrogen until itsradius is 3.40 m. Its total mass including the instruments itcarries is 11.0 kg.

(a) Find the buoyant force acting on the balloon, assuming thedensity of air is 1.29 kg/m3.
_________N

(b) What is the net force acting on the balloon and itsinstruments after the balloon is released from the ground?
_________N

Answer & Explanation Solved by verified expert
3.9 Ratings (571 Votes)

Given that
Radius r = 3.40 m

Mass m = 11 kg

Density of air ? = 1.29 kg/m^3

(a)

Volume of the balloon V = (4/3) ? r^3

                                       = (4/3) ?( 3.40 m)^3

                                       =164.55 m^3

Buoyant force Fb = Weight of the air displaced

                             = ? V g

                             = (1.29 kg/m^3 ) (164.552 m^3)( 9.8 m/s2)

                             = 2080.275 N

(b)


The net force acting on the balloon and its instruments after the balloon is released from the ground

                     F = Fb - W

                        = Fb - mg

                        = 2080.275 N- (11 kg ) (9.8 m/s2 )

                        = 1972.475 N
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