A uniform wooden log of mass and volume is gently released in a calm river (density…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A uniform wooden log of mass 30 kg30\,\text{kg} and volume 0.050 m30.050\,\text{m}^3 is gently released in a calm river (density of river water =1000 kg m−3=1000\,\text{kg\,m}^{-3}). (i) Calculate the weight of the log. (ii) Determine the volume of water displaced by the log when it settles into steady floating equilibrium. (iii) Hence find the fraction of the log’s volume that remains above the water surface.

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