A helium balloon ride lifts up passengers in a basket. Assume the
density of air is 1.28 kg/m3 and the density of
helium in the balloon is 0.18 kg/m3. The radius of the
balloon (when filled) is R = 4.9 m. The total mass of
the empty balloon and basket
is mb = 121 kg and the total volume is
Vb = 0.072 m3. Assume the average person
that gets into the balloon has a mass mp = 72 kg
and volume Vp= 0.077 m3.
1)
What is the volume of helium in the balloon when fully inflated?
2)
What is the magnitude of the force of gravity on the entire system (but with no people)? Include the mass of the balloon, basket, and helium.
3)
What is the magnitude of the buoyant force on the entire system (but with no people)? Include the volume of the balloon, basket, and helium.
4)
What is the magnitude of the force of gravity on eachperson?
5)
What is the magnitude of the buoyant force on eachperson?
6)
How many FULL people can the balloon lift up? (Your answer must be
an integer.)
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