Answers
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1)
volume of helium, V = 4/3 * pi * r ^ 3 = 523.6 m^3
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2)
force of gravity on the system
F = mbg + HeVg
F = 124 * 9.8 + 0.18 * 523.6 * 9.8
F = 2138.83 N
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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.
Fb = (V + Vb ) air g
Fb = (523.6 + 0.061) * 1.28 * 9.8
Fb = 6568.8 N
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4)
What is the magnitude of the force of gravity on each person
F = mg
F = 70 * 9.8
F = 686 N
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5)
What is the magnitude of the buoyant force on each person
F = 1.28 * 9.8 * 0.076
F = 0.953344 N
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6)
How many FULL people can the balloon lift up
N = 6568.8 - 2138.83 / 686
N = 6 persons