A rectangular block of wood floats in water with 65 % of its volume submerged

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

Problem

A rectangular block of wood floats in water with 65 % of its volume submerged. A hypothetical process then compresses the block uniformly so that its volume decreases by exactly 10 % while its mass remains unchanged. (a) Qualitatively describe how the compression affects the block’s density. (b) Determine the new density of the block as a fraction of the density of water, expressing your answer to two significant figures. (c) Predict whether the compressed block will float higher, lower, or sink when placed back in water, and justify your prediction based on your result from part (b).

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