**Title: Calculating Buoyancy and Displacement for a Wooden Block****Introduction:**Understanding the principles of buoyancy and displacement is crucial in fluid mechanics. This exercise involves a rectangular block of wood and requires you to determine several properties when the block is submerged in water.**Problem Statement:**A rectangular block of wood, dimensions 10.0 cm × 15.0 cm × 33.5 cm, has a specific gravity of 0.590. **Tasks:**1. **Buoyant Force \( F_b \):** Calculate the buoyant force acting on the block when it is submerged in a pool of fresh water with a density of \( 1.00 \times 10^3 \, \text{kg/m}^3 \). \[ F_b = \quad \text{N} \]2. **Submerged Fraction \( f \):** Determine what fraction of the block is submerged when it is floating. \[ f = \quad \]3. **Weight of Displaced Water \( w_w \):** Identify the weight of the water displaced by the block. \[ w_w = \quad \text{N} \]**Instructions:**- Use the concept of specific gravity to relate the density of the wood to the density of water.- Recall Archimedes' principle to calculate the buoyant force and the weight of the displaced water.- Consider the geometry and volume relations to find the fraction of the block submerged.**Conclusion:**Through this practical problem, you will apply fundamental physics concepts of buoyancy and displacement, enhancing your understanding of how objects interact with fluid environments.

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Description: **Title: Calculating Buoyancy and Displacement for a Wooden Block****Introduction:**Understanding the principles of buoyancy and displacement is crucial in fluid mechanics. This exercise involves a rectangular block of wood and requires you to deter

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A rectangular block of wood, 10.0 cm x 15.0 cm x 33.5 cm, has a specific gravity of 0.590. Determine the buoyant force F, that acts on the block when it is placed in a pool of fresh water with a density of 1.00 x 103 kg/m?. F, = What fraction f of the block is submerged? f = Determine the weight ww of the water that is displaced by the block. ww =

A rectangular block of wood, 10.0 cm x 15.0 cm x 33.5 cm, has a specific gravity of 0.590. Determine the buoyant force F, that acts on the block when it is placed in a pool of fresh water with a density of 1.00 x 103 kg/m?. F, = What fraction f of the block is submerged? f = Determine the weight ww of the water that is displaced by the block. ww =

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Title: Calculating Buoyancy and Displacement for a Wooden Block**

**Introduction:**
Understanding the principles of buoyancy and displacement is crucial in fluid mechanics. This exercise involves a rectangular block of wood and requires you to determine several properties when the block is submerged in water.

**Problem Statement:**
A rectangular block of wood, dimensions 10.0 cm × 15.0 cm × 33.5 cm, has a specific gravity of 0.590.

**Tasks:**

1. **Buoyant Force \( F_b \):**
Calculate the buoyant force acting on the block when it is submerged in a pool of fresh water with a density of \( 1.00 \times 10^3 \, \text{kg/m}^3 \).

\[
F_b = \quad \text{N}
\]

2. **Submerged Fraction \( f \):**
Determine what fraction of the block is submerged when it is floating.

\[
f = \quad
\]

3. **Weight of Displaced Water \( w_w \):**
Identify the weight of the water displaced by the block.

\[
w_w = \quad \text{N}
\]

**Instructions:**

- Use the concept of specific gravity to relate the density of the wood to the density of water.
- Recall Archimedes' principle to calculate the buoyant force and the weight of the displaced water.
- Consider the geometry and volume relations to find the fraction of the block submerged.

**Conclusion:**
Through this practical problem, you will apply fundamental physics concepts of buoyancy and displacement, enhancing your understanding of how objects interact with fluid environments.

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