### Determining Fluid Density Through Buoyancy#### Problem Statement:A block floats in water as shown in the left container. An identical block is placed in an unknown fluid and floats as shown in the right container. Use the provided diagrams to assess the relative densities of the water and the unknown fluid.#### Diagrams:1. **Left Container:** - Depicts a block floating in water labeled as H₂O. - The block is partially submerged, indicating its density relative to water.2. **Right Container:** - Depicts an identical block floating in an unknown fluid. - The block appears to float higher than in the water, suggesting a different relative density of the unknown fluid.![Diagram](https://example.com/water-and-unknown-fluid.png)#### Question:The density of the unknown fluid compared to water is:A. ...is greater than the density of water.B. ...is the same as the density of water.C. ...is less than the density of water.D. ...cannot be determined without knowing the densities of the blocks.#### Solution:The difference in how the block floats in each fluid can be used to draw conclusions about the relative densities of the fluids. The key principles involved in this problem include the density and buoyancy of fluids and objects.- **Density and Buoyancy:** - An object floats in a fluid when the weight of the fluid displaced by the object is equal to the weight of the object. - The degree to which the object is submerged is an indicator of the fluid's density relative to the object's density.- **Inferences from the Diagrams:** - In water, the block is partially submerged, indicating it has a density less than water. - In the unknown fluid, the block is floating higher (less submerged) than in water, suggesting that the unknown fluid must be denser than water to support the block more effectively with less displacement. Thus, the correct answer is:**A. ...is greater than the density of water.**#### Key Concepts to Use:- **Archimedes' principle:** Explains how the buoyant force is equal to the weight of the fluid displaced.- **Density comparison:** Would indicate that for the block to float higher, the supporting fluid must be denser, as more buoyant force is required which is only available from a denser fluid. ### Challenge Yourself:What key concepts would you

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A block floats in water as shown below (left container). An identical block (right container) is placed in an unknown fluid and floats as shown below. H,0 The density of the unknown fluid. A..is greater than the density of water. B. .is the same as the density of water. C.is less than the density of water. D. .cannot be determined without knowing the densities of the blocks. What key concepts would you use to convince someone that your answer choice is the correct one?

A block floats in water as shown below (left container). An identical block (right container) is placed in an unknown fluid and floats as shown below. H,0 The density of the unknown fluid. A..is greater than the density of water. B. .is the same as the density of water. C.is less than the density of water. D. .cannot be determined without knowing the densities of the blocks. What key concepts would you use to convince someone that your answer choice is the correct one?

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

### Determining Fluid Density Through Buoyancy

#### Problem Statement:
A block floats in water as shown in the left container. An identical block is placed in an unknown fluid and floats as shown in the right container. Use the provided diagrams to assess the relative densities of the water and the unknown fluid.

#### Diagrams:
1. **Left Container:**
- Depicts a block floating in water labeled as H₂O.
- The block is partially submerged, indicating its density relative to water.

2. **Right Container:**
- Depicts an identical block floating in an unknown fluid.
- The block appears to float higher than in the water, suggesting a different relative density of the unknown fluid.

![Diagram](https://example.com/water-and-unknown-fluid.png)

#### Question:
The density of the unknown fluid compared to water is:
A. ...is greater than the density of water.
B. ...is the same as the density of water.
C. ...is less than the density of water.
D. ...cannot be determined without knowing the densities of the blocks.

#### Solution:
The difference in how the block floats in each fluid can be used to draw conclusions about the relative densities of the fluids. The key principles involved in this problem include the density and buoyancy of fluids and objects.

- **Density and Buoyancy:**
- An object floats in a fluid when the weight of the fluid displaced by the object is equal to the weight of the object.
- The degree to which the object is submerged is an indicator of the fluid's density relative to the object's density.

- **Inferences from the Diagrams:**
- In water, the block is partially submerged, indicating it has a density less than water.
- In the unknown fluid, the block is floating higher (less submerged) than in water, suggesting that the unknown fluid must be denser than water to support the block more effectively with less displacement.

Thus, the correct answer is:

**A. ...is greater than the density of water.**

#### Key Concepts to Use:
- **Archimedes' principle:** Explains how the buoyant force is equal to the weight of the fluid displaced.
- **Density comparison:** Would indicate that for the block to float higher, the supporting fluid must be denser, as more buoyant force is required which is only available from a denser fluid.

### Challenge Yourself:
What key concepts would you

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