A solid object weighs 18.58 N in air. When it is suspended from a scale and submerged in water, the scale reads 3.78 N. scale mass water Find the density of the object. (Use 1000.0 kg/m³ for the density of water.) 3
A solid object weighs 18.58 N in air. When it is suspended from a scale and submerged in water, the scale reads 3.78 N. scale mass water Find the density of the object. (Use 1000.0 kg/m³ for the density of water.) 3
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)...
Related questions
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.
Topic Video
Question
![**Title: Calculating the Density of a Submerged Object**
**Problem Statement:**
A solid object weighs 18.58 N in air. When it is suspended from a scale and submerged in water, the scale reads 3.78 N. Calculate the density of the object, using 1000.0 kg/m³ for the density of water.
**Diagrams Explanation:**
The image consists of two diagrams:
1. **Left Diagram:**
- It shows a mass hanging from a scale in the air.
- The scale reads the weight of the mass as 18.58 N.
2. **Right Diagram:**
- It depicts the same mass submerged in a container of water.
- The scale now reads 3.78 N, indicating the apparent weight of the object in water.
**Procedure:**
The object's density can be calculated using the principle of buoyancy. The difference in the object's weight in air and its apparent weight in water is due to the buoyant force, which equals the weight of the water displaced by the object.
**Formulas:**
1. Weight of object in air = \( W_a = 18.58 \, \text{N} \)
2. Apparent weight of object in water = \( W_w = 3.78 \, \text{N} \)
3. Buoyant force = \( W_a - W_w \)
4. Volume of displaced water = Buoyant force / (density of water * gravity)
5. Density of object \( (\rho) = \text{mass} / \text{volume} \)
**Steps to Calculate:**
1. Calculate the buoyant force:
\[ \text{Buoyant force} = 18.58 \, \text{N} - 3.78 \, \text{N} \]
2. Find the volume of the object using the buoyant force:
\[
\text{Volume} = \frac{\text{Buoyant force}}{1000 \, \text{kg/m}^3 \times 9.8 \, \text{m/s}^2}
\]
3. Compute the density of the object:
\[
\rho = \frac{18.58 \, \text{N} / 9.8 \, \text{m/s}^2}{\text{Volume}}
\]
These](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d54699-8096-4754-af5c-5369115407dd%2Fb09d7285-18af-4536-9db7-96416d7c808f%2Fwedhs8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating the Density of a Submerged Object**
**Problem Statement:**
A solid object weighs 18.58 N in air. When it is suspended from a scale and submerged in water, the scale reads 3.78 N. Calculate the density of the object, using 1000.0 kg/m³ for the density of water.
**Diagrams Explanation:**
The image consists of two diagrams:
1. **Left Diagram:**
- It shows a mass hanging from a scale in the air.
- The scale reads the weight of the mass as 18.58 N.
2. **Right Diagram:**
- It depicts the same mass submerged in a container of water.
- The scale now reads 3.78 N, indicating the apparent weight of the object in water.
**Procedure:**
The object's density can be calculated using the principle of buoyancy. The difference in the object's weight in air and its apparent weight in water is due to the buoyant force, which equals the weight of the water displaced by the object.
**Formulas:**
1. Weight of object in air = \( W_a = 18.58 \, \text{N} \)
2. Apparent weight of object in water = \( W_w = 3.78 \, \text{N} \)
3. Buoyant force = \( W_a - W_w \)
4. Volume of displaced water = Buoyant force / (density of water * gravity)
5. Density of object \( (\rho) = \text{mass} / \text{volume} \)
**Steps to Calculate:**
1. Calculate the buoyant force:
\[ \text{Buoyant force} = 18.58 \, \text{N} - 3.78 \, \text{N} \]
2. Find the volume of the object using the buoyant force:
\[
\text{Volume} = \frac{\text{Buoyant force}}{1000 \, \text{kg/m}^3 \times 9.8 \, \text{m/s}^2}
\]
3. Compute the density of the object:
\[
\rho = \frac{18.58 \, \text{N} / 9.8 \, \text{m/s}^2}{\text{Volume}}
\]
These
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON