A hydrogen-filled balloon is used to lift a (125-mathrm{kg}) stone off the ground. The basket holding the

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A hydrogen-filled balloon is used to lift a \(125-\mathrm{kg}\) stone off the ground. The basket holding the stone has a mass of \(15.0 \mathrm{~kg}\). What must the minimum radius \(R\) of the balloon be in order to lift the stone off the ground? Use \(1.29 \mathrm{~kg} / \mathrm{m}^{3}\) for the mass density of air, and ignore the mass of the hydrogen and the mass of the balloon.

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