SlideShare a Scribd company logo
WAVES
By Michael Lasaleta 39607122
PULSE SPEED ON A
HANGING STRING
A young physics student at UBC had finished his homework early in the
morning and realized he had the rest of the afternoon free. Unfortunately,
he was going through some self-esteem issues and wanted to spend the
afternoon with someone who found him attractive. He ventured campus
in hopes of finding a life long companion that would reassure him of his
good looks. He came across a vendor who was selling magical lamps. The
young physics student thought it would be a good investment because he
could just wish for someone to find him attractive.
PROBLEM
๏ถ The vendor sold the student the lamp but the genie that appeared
refused to grant him his wish without proof that the student understood
the concept of pulse speed on a hanging string. The genie hung the 5kg
lamp to the ceiling with a string. The genie then told the student that the
string had a linear mass density of 30g/m and a length of 10m. The genie
then generated a pulse at the lower end of the string and asked, โ€œWhat is
the speed of the pulse at the lower end, middle, and at the top of the
string? Also, where is the pulse speed greatest and why?โ€
KNOWN QUANTITIES
Linear mass density of the string, u
30.0g/m = 0.0300kg/m
Mass of the lamp, M
5kg
Length of the String L,
10m
SOLUTION
Tension in a string at any point is a result of the weight of the hanging
mass as well as the weight of string below the point. If we allow x to be
the height at a given point from the bottom of the string, the total weight
under point x is equal to Mg + (uxg), which is equivalent to tension at that
height. The following equation is wave speed, v(x), at a height x:
v(x) =
Mg+uxg
u
EVALUATING
At x=0, x= 5 and x=10
x(0) =
Mg
u
=
5.00kgX9.81m / s
2
0.0300kg / m
= 40.4m / s
x(5.0m) =
Mg+5.0ug
u
=
(5.00kg+5.0mX0.0300kg / m)X9.81m / s
2
0.0300kg / m
= 41.0m / s
x(10.0m) =
Mg+10.0ug
u
=
(5.00kg+10mX0.0300kg / m)X9.81m / s
2
0.0300kg / m
= 41.6m / s
RESULT
The boy explained to the genie the concept behind his results.
The pulse speeds up as a result of the tension in the string increasing
with height, therefore the pulse speed is greatest at the top of the
string. This concept applies to any string of nonzero linear mass
density that is hanging vertically. When a pulse is generated at the
bottom, the pulse moves upwards and the speed increases.
Physics 101 lo3

More Related Content

What's hot

Eema magnetic properties of materials
Eema magnetic properties of materialsEema magnetic properties of materials
Eema magnetic properties of materials
Debi Prasad Dash
ย 
para magnetism And Di magnetism
para magnetism And Di magnetism para magnetism And Di magnetism
para magnetism And Di magnetism
Nikhil Joshi
ย 
Magnetism
MagnetismMagnetism
Magnetism
Paul Comitz
ย 
Magnetism
MagnetismMagnetism
Magnetism
Gabriel O'Brien
ย 
Magnetisation and Magnetic Intensity | Physics
Magnetisation and Magnetic Intensity | PhysicsMagnetisation and Magnetic Intensity | Physics
Magnetisation and Magnetic Intensity | Physics
askIITians - Creating Engineers & Doctors
ย 
Magnetochemstry
MagnetochemstryMagnetochemstry
Magnetochemstry
Halavath Ramesh
ย 
22 magnetism3
22 magnetism322 magnetism3
22 magnetism3
Vikas Kumar
ย 
Notes 3.3
Notes 3.3Notes 3.3
Notes 3.3
MarriottScience
ย 

What's hot (8)

Eema magnetic properties of materials
Eema magnetic properties of materialsEema magnetic properties of materials
Eema magnetic properties of materials
ย 
para magnetism And Di magnetism
para magnetism And Di magnetism para magnetism And Di magnetism
para magnetism And Di magnetism
ย 
Magnetism
MagnetismMagnetism
Magnetism
ย 
Magnetism
MagnetismMagnetism
Magnetism
ย 
Magnetisation and Magnetic Intensity | Physics
Magnetisation and Magnetic Intensity | PhysicsMagnetisation and Magnetic Intensity | Physics
Magnetisation and Magnetic Intensity | Physics
ย 
Magnetochemstry
MagnetochemstryMagnetochemstry
Magnetochemstry
ย 
22 magnetism3
22 magnetism322 magnetism3
22 magnetism3
ย 
Notes 3.3
Notes 3.3Notes 3.3
Notes 3.3
ย 

Similar to Physics 101 lo3

Strong Nuclear Force and Quantum Vacuum (TRANSITION)
Strong Nuclear Force and Quantum Vacuum (TRANSITION)Strong Nuclear Force and Quantum Vacuum (TRANSITION)
Strong Nuclear Force and Quantum Vacuum (TRANSITION)
SergioPrezFelipe
ย 
Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...
Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...
Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...
SergioPrezFelipe
ย 
modern.pptx
modern.pptxmodern.pptx
modern.pptx
krishna598371
ย 
Lecture 2 Properties of em waves
Lecture 2 Properties of em wavesLecture 2 Properties of em waves
Lecture 2 Properties of em waves
ABRILYN BULAWIN
ย 
604 2441-1-pb
604 2441-1-pb604 2441-1-pb
604 2441-1-pb
SergioPrezFelipe
ย 
Presentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.pptPresentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.ppt
SharmilaJayanthi1
ย 
Presentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.pptPresentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.ppt
SharmilaJayanthi1
ย 
berhank
berhankberhank
berhank
carlmanaay
ย 
Unit 6 Presentation.ppt
Unit 6 Presentation.pptUnit 6 Presentation.ppt
Unit 6 Presentation.ppt
ssuser2ac9e9
ย 
13 March 5 Microwaves, Polarization
13 March 5 Microwaves, Polarization13 March 5 Microwaves, Polarization
13 March 5 Microwaves, Polarization
Steve Koch
ย 
Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)
Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)
Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)
SergioPrezFelipe
ย 
physics presentation (yukesh).pptx
physics presentation (yukesh).pptxphysics presentation (yukesh).pptx
physics presentation (yukesh).pptx
FriFriKhelum
ย 
Transverse speed and wave speed
Transverse speed and wave speedTransverse speed and wave speed
Transverse speed and wave speed
Nick Irwin
ย 
Class 11 Cbse Physics Sample Paper Model 3
Class 11 Cbse Physics Sample Paper Model 3 Class 11 Cbse Physics Sample Paper Model 3
Class 11 Cbse Physics Sample Paper Model 3
Sunaina Rawat
ย 
Tecmilenio fisica ayuda tarea
Tecmilenio fisica ayuda tareaTecmilenio fisica ayuda tarea
Tecmilenio fisica ayuda tarea
Tareas Tecmilenio
ย 
Hookes law
Hookes lawHookes law
Hookes law
MrOakes
ย 
Wave particle duality of light- A changing Notion in Science
Wave particle duality of light- A changing Notion in ScienceWave particle duality of light- A changing Notion in Science
Wave particle duality of light- A changing Notion in Science
Subhankar Roy
ย 

Similar to Physics 101 lo3 (17)

Strong Nuclear Force and Quantum Vacuum (TRANSITION)
Strong Nuclear Force and Quantum Vacuum (TRANSITION)Strong Nuclear Force and Quantum Vacuum (TRANSITION)
Strong Nuclear Force and Quantum Vacuum (TRANSITION)
ย 
Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...
Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...
Strong Nuclear Force and Quantum Vacuum as Theory of Everything (NETWORK EQUI...
ย 
modern.pptx
modern.pptxmodern.pptx
modern.pptx
ย 
Lecture 2 Properties of em waves
Lecture 2 Properties of em wavesLecture 2 Properties of em waves
Lecture 2 Properties of em waves
ย 
604 2441-1-pb
604 2441-1-pb604 2441-1-pb
604 2441-1-pb
ย 
Presentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.pptPresentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.ppt
ย 
Presentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.pptPresentation_Contest-Steve_Brehmer-2009.ppt
Presentation_Contest-Steve_Brehmer-2009.ppt
ย 
berhank
berhankberhank
berhank
ย 
Unit 6 Presentation.ppt
Unit 6 Presentation.pptUnit 6 Presentation.ppt
Unit 6 Presentation.ppt
ย 
13 March 5 Microwaves, Polarization
13 March 5 Microwaves, Polarization13 March 5 Microwaves, Polarization
13 March 5 Microwaves, Polarization
ย 
Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)
Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)
Strong Nuclear Force and Quantum Vacuum as Gravity (FUNDAMENTAL TENSOR)
ย 
physics presentation (yukesh).pptx
physics presentation (yukesh).pptxphysics presentation (yukesh).pptx
physics presentation (yukesh).pptx
ย 
Transverse speed and wave speed
Transverse speed and wave speedTransverse speed and wave speed
Transverse speed and wave speed
ย 
Class 11 Cbse Physics Sample Paper Model 3
Class 11 Cbse Physics Sample Paper Model 3 Class 11 Cbse Physics Sample Paper Model 3
Class 11 Cbse Physics Sample Paper Model 3
ย 
Tecmilenio fisica ayuda tarea
Tecmilenio fisica ayuda tareaTecmilenio fisica ayuda tarea
Tecmilenio fisica ayuda tarea
ย 
Hookes law
Hookes lawHookes law
Hookes law
ย 
Wave particle duality of light- A changing Notion in Science
Wave particle duality of light- A changing Notion in ScienceWave particle duality of light- A changing Notion in Science
Wave particle duality of light- A changing Notion in Science
ย 

Recently uploaded

Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
Krassimira Luka
ย 
UGC NET Exam Paper 1- Unit 1:Teaching Aptitude
UGC NET Exam Paper 1- Unit 1:Teaching AptitudeUGC NET Exam Paper 1- Unit 1:Teaching Aptitude
UGC NET Exam Paper 1- Unit 1:Teaching Aptitude
S. Raj Kumar
ย 
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumPhilippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
MJDuyan
ย 
Wound healing PPT
Wound healing PPTWound healing PPT
Wound healing PPT
Jyoti Chand
ย 
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptxChapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Denish Jangid
ย 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
National Information Standards Organization (NISO)
ย 
Benner "Expanding Pathways to Publishing Careers"
Benner "Expanding Pathways to Publishing Careers"Benner "Expanding Pathways to Publishing Careers"
Benner "Expanding Pathways to Publishing Careers"
National Information Standards Organization (NISO)
ย 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Fajar Baskoro
ย 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
ย 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
iammrhaywood
ย 
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.pptLevel 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Henry Hollis
ย 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
GeorgeMilliken2
ย 
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Nguyen Thanh Tu Collection
ย 
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
imrankhan141184
ย 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
PsychoTech Services
ย 
B. Ed Syllabus for babasaheb ambedkar education university.pdf
B. Ed Syllabus for babasaheb ambedkar education university.pdfB. Ed Syllabus for babasaheb ambedkar education university.pdf
B. Ed Syllabus for babasaheb ambedkar education university.pdf
BoudhayanBhattachari
ย 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
HajraNaeem15
ย 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
Nicholas Montgomery
ย 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
RAHUL
ย 
Electric Fetus - Record Store Scavenger Hunt
Electric Fetus - Record Store Scavenger HuntElectric Fetus - Record Store Scavenger Hunt
Electric Fetus - Record Store Scavenger Hunt
RamseyBerglund
ย 

Recently uploaded (20)

Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
ย 
UGC NET Exam Paper 1- Unit 1:Teaching Aptitude
UGC NET Exam Paper 1- Unit 1:Teaching AptitudeUGC NET Exam Paper 1- Unit 1:Teaching Aptitude
UGC NET Exam Paper 1- Unit 1:Teaching Aptitude
ย 
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumPhilippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
ย 
Wound healing PPT
Wound healing PPTWound healing PPT
Wound healing PPT
ย 
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptxChapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
ย 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
ย 
Benner "Expanding Pathways to Publishing Careers"
Benner "Expanding Pathways to Publishing Careers"Benner "Expanding Pathways to Publishing Careers"
Benner "Expanding Pathways to Publishing Careers"
ย 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
ย 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
ย 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
ย 
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.pptLevel 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
ย 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
ย 
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
ย 
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
ย 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
ย 
B. Ed Syllabus for babasaheb ambedkar education university.pdf
B. Ed Syllabus for babasaheb ambedkar education university.pdfB. Ed Syllabus for babasaheb ambedkar education university.pdf
B. Ed Syllabus for babasaheb ambedkar education university.pdf
ย 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
ย 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
ย 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
ย 
Electric Fetus - Record Store Scavenger Hunt
Electric Fetus - Record Store Scavenger HuntElectric Fetus - Record Store Scavenger Hunt
Electric Fetus - Record Store Scavenger Hunt
ย 

Physics 101 lo3

  • 2. PULSE SPEED ON A HANGING STRING A young physics student at UBC had finished his homework early in the morning and realized he had the rest of the afternoon free. Unfortunately, he was going through some self-esteem issues and wanted to spend the afternoon with someone who found him attractive. He ventured campus in hopes of finding a life long companion that would reassure him of his good looks. He came across a vendor who was selling magical lamps. The young physics student thought it would be a good investment because he could just wish for someone to find him attractive.
  • 3. PROBLEM ๏ถ The vendor sold the student the lamp but the genie that appeared refused to grant him his wish without proof that the student understood the concept of pulse speed on a hanging string. The genie hung the 5kg lamp to the ceiling with a string. The genie then told the student that the string had a linear mass density of 30g/m and a length of 10m. The genie then generated a pulse at the lower end of the string and asked, โ€œWhat is the speed of the pulse at the lower end, middle, and at the top of the string? Also, where is the pulse speed greatest and why?โ€
  • 4. KNOWN QUANTITIES Linear mass density of the string, u 30.0g/m = 0.0300kg/m Mass of the lamp, M 5kg Length of the String L, 10m
  • 5. SOLUTION Tension in a string at any point is a result of the weight of the hanging mass as well as the weight of string below the point. If we allow x to be the height at a given point from the bottom of the string, the total weight under point x is equal to Mg + (uxg), which is equivalent to tension at that height. The following equation is wave speed, v(x), at a height x: v(x) = Mg+uxg u
  • 6. EVALUATING At x=0, x= 5 and x=10 x(0) = Mg u = 5.00kgX9.81m / s 2 0.0300kg / m = 40.4m / s x(5.0m) = Mg+5.0ug u = (5.00kg+5.0mX0.0300kg / m)X9.81m / s 2 0.0300kg / m = 41.0m / s x(10.0m) = Mg+10.0ug u = (5.00kg+10mX0.0300kg / m)X9.81m / s 2 0.0300kg / m = 41.6m / s
  • 7. RESULT The boy explained to the genie the concept behind his results. The pulse speeds up as a result of the tension in the string increasing with height, therefore the pulse speed is greatest at the top of the string. This concept applies to any string of nonzero linear mass density that is hanging vertically. When a pulse is generated at the bottom, the pulse moves upwards and the speed increases.