Physics 205 lab 5-archie's prin sp24

docx

School

Sierra College *

*We aren’t endorsed by this school

Course

0205

Subject

Physics

Date

Apr 3, 2024

Type

docx

Pages

Uploaded by JamilQ

Physics 205L Spring 2024 Archimedes Principle Introduction There is a story that is told about Archimedes (287-212b.c.) that occurred when he was commissioned by King Hiero II to determine whether the royal crown was made of pure gold. The king did not trust the goldsmith, and he worried that some silver (alloyed with gold) may have been used rather than the pure gold the King paid for. This request of Archimedes was difficult at the time because the only known way to take a piece of the crown material and chemically test it. This was strictly forbidden, so the problem Archimedes faced was how to determine the crown’s composition without altering it in any way. As the story goes (according to Syracuse), one day Archimedes was seen running naked down a street in central Athens screaming “Eureka! Eureka!” (L: “I’ve found it!). What he had found was a way to solve the crown problem, and this was not just coincidence. What followed were Archimedes’ famous principle and the death of the dishonest goldsmith. In this experiment, you will find out how to measure the density of irregularly shaped objects and more using this principle. Theory: 1. In the space below, state Archimedes’ Principle and define density, then show mathematically how you can measure the density of an object (that sinks in a fluid) using this principle. Be sure to draw a free-body diagram of the mass attached to the string. What does the tension in the string measure? 2. Derive an equation for determining the density of a floating object using Archimedes’ Principal. What does the difference in the tension in the string represent for the measurements shown in Figures 2 and 3? 3. Finally, derive an equation using Archimedes’ Principal showing how the density of a liquid can be measured. Your expression should be in terms of the density of water, object’s mass in water, the object’s mass in a saturated solution, and the object’s mass in air (i.e. in terms of the quantities in Table 1). No free-body diagram is needed. 1 Experiment 5

Physics 205L Spring 2024 Zero Adjustment 0 Floating Block Iron Figure 1: Measuring Apparatus. Included are the setups for objects that sink and objects that float. Procedure: 1. Carefully zero the balance. 2. Attach one of the metal cubes to the bottom loop 2 - of string, bring to balance and record its mass in Table 1. 3. Add some tap water to the beaker and carefully place the suspended metal cube inside (See Figure 1). This initial water is to protect the beaker in case the sample detaches from the string. 4. Add more water to the beaker to bring its level just above the cube as shown in figure 1. 5. Balance and record the buoyant mass of the sample in Table 1. 6. Repeat steps 1 through 4 for the other known material, and the unknown one(s). Be sure to clean up any water spills. Place wet objects on a paper towel to dry. 7. Attach the floating block to the upper loop of string and then one of the metal cubes to the bottom of the block. Carefully lower the blocks into the beaker as instructed in step 3. 8. Now add water and fill the beaker to the level shown in figure 1, balance and record this mass as “reading #1” in Table 1. 9. Add more water until the level is as shown in figure 3, balance and record this mass as “reading #2” in Table 1. 10. Measure and record the mass of the floating block (in air) in the space below Table 1. 11. Measure the length, width and height of the floating block at five separate locations for each. Calculate the average of each including their uncertainty.Then calculate the volume of the block and its uncertainty. 12. Finally, repeat 3, 4, and 5 using the saturated solution (aq.) in place of the water. Be particularly careful with the solution (aq.). Save the saturated solution (aq.) in its original container and rinse everything completely with water to remove the solute residue. 2

Physics 205L Spring 2024 Data: Use 1.00g/cm 3 (3 significant figures) for the density of water. Table 1: Density Measurements Substance Mass (g) Buoyant Mass (g) Change in Mass (g) Material 1 Material 2 Unknown 1 Unknown 2 Floating Block Reading #1 Reading #2 Saturated Solution (aq.) Table 2. Dimensions of Floating Block Trial Number Length (cm) Width (cm) Height (cm) Volume (cm 3 ) 1 2 3 4 5 AVERAGE ± ± ± ± Total Mass of floating block in air (including hooks): _____±_____ Total Mass hooks: _____±_____ Mass of floating block in air (show error propagation: _____±_____ 3

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Physics 205L Spring 2024 Analysis: 1. A. Show in detail in the space below the calculation of the density of Material 1 using your derived equation. B. Propagate the error to determine the uncertainty in your value. 2. In a similar manner, calculate the density of the object that floats and its uncertainty. 3. Finally, calculate the density of the liquid used and its uncertainty. 4. Calculate the reference density of the floating object and its uncertainty. Results : Table 3: Measured Densities Substance Measured Density *Reference Density % Error Material 1 Material 2 Unknown 1 Unknown 2 Floating Block Saturated Solution (aq.) Instructor Supplied 1.20gm/cm 3 *Using a handbook (or other similar references) look up and record the densities of as many of these materials as you can find. 4. Do your measured values agree with the reference densities? 5. Determine the elements from which the unknowns are made. 6. What are the errors in the experiment. What is/are the largest contributor(s)? 7. List your references. 4

Physics 205L Spring 2024 Conceptual Questions: 1. Solid cubic blocks A and B both have a mass of 10 kg. When they are placed in water, block B floats, and block A sinks. a. Which block is denser? A B C(same) b. Which block is larger? A B C(same) c. Which block is heavier? A B C(same) d. Smaller buoyancy force is on A B C(same) e. If both blocks mentioned above are totally immersed in water, the larger buoyancy force will be on A B C (same) 2. Solid cubic blocks A and B both have a volume of 1 m 3 . When they are placed in water, block A floats, and block B sinks. a. Which block is denser? A B C( same) b. The larger buoyancy force is on block A B C( same) c. If both blocks are totally immersed, the larger buoyancy force would be on A B C( same) 5

Related Documents

homework-10-oscillations-and-waves-solutions.pdf

Homework 8, torque 23-24-problems.pdf

AtwoodMachineSE_(2).docx.pdf

Asteroids and Comets Worksheet..docx

Experiment - Density as a Property of Matter.docx

Kiland Bharath Lab 4.docx

03 Physics 205L Atwood Machine S24.docx

Fall2023 Projectile Motion Lab Online-1.pdf

Fall22 Postion, Velocity, and Acceleration Lab Online EDITED 8.16.22-1.pdf

Fall2023 Centripetal Force Lab Online-1.pdf

Lab6_Ray and Wave Optics.docx

Lab-1-Kinematics 1-D Online.docx

Recommended textbooks for you

Physics for Scientists and Engineers: Foundations...

Physics

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Cengage Learning

College Physics

Physics

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:OpenStax College

College Physics

Physics

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Cengage Learning

College Physics

Physics

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Cengage Learning

Physics for Scientists and Engineers with Modern ...

Physics

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

Recommended textbooks for you

Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning