College Physics
11th Edition
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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Can you please do 5. Thank you
![### Understanding Density and Volume through Practical Problems
The values for densities given in the text are averages. They are not terribly precise for some very good reasons well beyond the scope of the course, but for the purposes of our course are to be considered exact. Thus, they may be considered to have an infinite number of significant figures just like anything on the PRC.
For numeric entry in the Bb system the standard guidance applies: Enter more digits than are significant in the answer field to ensure correct answers are marked as correct, convert to standard units if necessary unless otherwise stated but do not enter the unit in the answer field. If you choose to use scientific notation 2.0563 × 10⁻⁴ is entered as 2.0563E-4 (no spaces, the E must be capitalized).
#### Problems:
1) **Calculate the density of a block of unknown metal that has mass 234.00 g and is a cube that measures 9.000 cm on a side.**
- Density (ρ) is mass (m) divided by volume (V). For a cube, Volume \( V = s^3 \), where \( s \) is the side length.
- Formula: \( \rho = \frac{m}{s^3} \)
2) **Calculate the volume of a 5.00 kg nugget of pure gold.**
- Volume \( V = \frac{m}{\rho} \), where \( m \) is the mass and \( \rho \) is the density of gold.
- Use the density of gold \( \rho = 19,300 \, \text{kg/m}^3 \)
3) **If the nugget in the previous problem were cast into a cube, what would the length of one of the sides be, measured in centimeters?**
- Find the side length \( s \) of the cube, where \( V = s^3 \).
- Formula: \( s = \sqrt[3]{V} \)
4) **Calculate the mass of blood in the average human body, given the average volume of 5.00 L.**
- Use the fact that the density of blood \( \rho = 1.0 \, \text{g/cm}^3 \).
- \( 1 \, \text{L} = 1000 \, \text{cm}^3 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b2c9d6c-c72d-4865-8bd2-823d831f4b98%2F3dd9c78b-1267-4a2e-88ca-f2821794bd54%2Fdz8nfj_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Density and Volume through Practical Problems
The values for densities given in the text are averages. They are not terribly precise for some very good reasons well beyond the scope of the course, but for the purposes of our course are to be considered exact. Thus, they may be considered to have an infinite number of significant figures just like anything on the PRC.
For numeric entry in the Bb system the standard guidance applies: Enter more digits than are significant in the answer field to ensure correct answers are marked as correct, convert to standard units if necessary unless otherwise stated but do not enter the unit in the answer field. If you choose to use scientific notation 2.0563 × 10⁻⁴ is entered as 2.0563E-4 (no spaces, the E must be capitalized).
#### Problems:
1) **Calculate the density of a block of unknown metal that has mass 234.00 g and is a cube that measures 9.000 cm on a side.**
- Density (ρ) is mass (m) divided by volume (V). For a cube, Volume \( V = s^3 \), where \( s \) is the side length.
- Formula: \( \rho = \frac{m}{s^3} \)
2) **Calculate the volume of a 5.00 kg nugget of pure gold.**
- Volume \( V = \frac{m}{\rho} \), where \( m \) is the mass and \( \rho \) is the density of gold.
- Use the density of gold \( \rho = 19,300 \, \text{kg/m}^3 \)
3) **If the nugget in the previous problem were cast into a cube, what would the length of one of the sides be, measured in centimeters?**
- Find the side length \( s \) of the cube, where \( V = s^3 \).
- Formula: \( s = \sqrt[3]{V} \)
4) **Calculate the mass of blood in the average human body, given the average volume of 5.00 L.**
- Use the fact that the density of blood \( \rho = 1.0 \, \text{g/cm}^3 \).
- \( 1 \, \text{L} = 1000 \, \text{cm}^3 \
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