Problem 1 A block of wood is attached to the bottom of a lake by means of a rope and it is completely immersed in the water. The wood has a density of 0.25 x 103 kg/m³ (while water has a density of 1.0 x 10°kg/m³). a) Compute the absolute and gauge pressure 5.0 meters below the surface of the lake (use the value po 1.01 × 105 Pa for the atmospheric pressure). b) If the the volume of the block is V = 0.0136 m³, what is the tension in the string? c) If we cut the rope, the block will start accelerating towards the surface. Calculate the acceleration.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
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Problem 1
A block of wood is attached to the bottom of a lake by means of a rope and it is completely
immersed in the water. The wood has a density of 0.25 x 103 kg/m³ (while water has a
density of 1.0 x 10°kg/m³).
a) Compute the absolute and gauge pressure 5.0 meters below the surface of the lake (use
the value po
1.01 × 105 Pa for the atmospheric pressure).
b) If the the volume of the block is V
= 0.0136 m³, what is the tension in the string?
c) If we cut the rope, the block will start accelerating towards the surface. Calculate the
acceleration.
Transcribed Image Text:Problem 1 A block of wood is attached to the bottom of a lake by means of a rope and it is completely immersed in the water. The wood has a density of 0.25 x 103 kg/m³ (while water has a density of 1.0 x 10°kg/m³). a) Compute the absolute and gauge pressure 5.0 meters below the surface of the lake (use the value po 1.01 × 105 Pa for the atmospheric pressure). b) If the the volume of the block is V = 0.0136 m³, what is the tension in the string? c) If we cut the rope, the block will start accelerating towards the surface. Calculate the acceleration.
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