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    Buoyancy and Archimedes' Principle

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    A spherical balloon of radius 10.0 m has a mass of 600 kg when empty. If the balloon is filled with 1.0 atmospheres of helium gas, what is the mass of the largest cargo it could carry near the earth's surface to get off the ground:
    (a) Make a labeled diagram of the forces.
    (b) Use Archimedes principle to determine the buoyant force.
    (c) Write an algebraic solution for the mass of the cargo (M sub cargo), then put in the numbers.

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    Step by step calculations with explanation.