A mountain-climber of mass 78 kg ponders the idea of attaching a helium-filled balloon to himself to effectively reduce his weight by 22 % when he climbs. He wonders what the approximate size of such a balloon would be. Hearing of your physics skills, he asks you. Share with him your calculations find the volume of the balloon . v=

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Asked Oct 2, 2019
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A mountain-climber of mass 78 kg ponders the idea of attaching a helium-filled balloon to himself to effectively reduce his weight by 22 % when he climbs. He wonders what the approximate size of such a balloon would be. Hearing of your physics skills, he asks you. 

Share with him your calculations find the volume of the balloon .
 
v=
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The balloon reduces the weight of the person by 22% so that the buoyant force on him/balloon will be 22% of his weight. The expression for the buoyant force is given by F3 0.22mg (1) Here, F is the buoyant force, m is the mass of the climber and g is the acceleration due to gravity The equation for the buoyant force on the balloon is given by F= PaiVbalison (2) Here, pis the density of air and Vaon s the volume of the air displaced by the balloon

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