A full soda can of height h stands on the xy-plane. Punch a hole in the base

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A full soda can of height h stands on the xy-plane. Punch a hole in the base and watch z̅ (the z-coordinate of the center of mass) as the soda leaks away. Starting at h/2, z̅ gradually drops to a minimum and then rises back to h/2 when the can is empty. Show that z̅ is least when it coincides with the height of the soda. (Do not neglect the mass of the can itself.)
Would the same conclusion hold for a soda bottle? Don't calculate; think geometrically.
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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