A block of wood, whose volume is V = 0.050 m3, is attached to the bottom of a lake by means of a rope and it is completely immersed in the water. The block has a density of 0.75 × 10^3kg/m3 (while water has a density of 1.0 × 10^3kg/m3). a) Compute the buoyant force and the weight acting on the block. b) What is the tension in the rope? c) If we cut the rope, the block will start accelerating towards the surface. Calculate its acceleration.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
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A block of wood, whose volume is V = 0.050 m3, is attached to the bottom of a lake by means of a rope and it is completely immersed in the water. The block has a density of 0.75 × 10^3kg/m3 (while water has a density of 1.0 × 10^3kg/m3).

a) Compute the buoyant force and the weight acting on the block.

b) What is the tension in the rope?

c) If we cut the rope, the block will start accelerating towards the surface. Calculate its acceleration.

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