a cork but in the form of a cylinder floats in alcohol of density 0.8g/cm3,such that 3/7 of its length is outside the alcohol.if the total length of the cylinder is 35cm and area of the cross section 25cm2.
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Explanation:
Weight of the cork = Weight of the liquid displaced by the floating cork
Let the cork be depressed slightly by x. As a result, some extra water of a certain volume is displaced. Hence, an extra up-thrust acts upward and provides the restoring force to the cork.
Up-thrust = Restoring force, F = Weight of the extra water displaced
F = –(Volume × Density × g)
Volume = Area × Distance through which the cork is depressed
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