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12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 1 PHY 113 C General Physics I 11 AM – 12:15 PM MWF Olin 101 Plan for Lecture 25: 1.Comments on Exam 3 2.Pep talk on preparing for Final Exam 3.Comprehensive review – Part I Bonus attendance points for Lecture 26 – Part II of comprehensive review & course assessment

12/93/2013PHY 113 C Fall 2013 -- Lecture 251 PHY 113 C General Physics I 11 AM – 12:15 PM MWF Olin 101 Plan for Lecture 25: 1.Comments on Exam 3 2.Pep

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PHY 113 C Fall 2013 -- Lecture 25 112/93/2013

PHY 113 C General Physics I11 AM – 12:15 PM MWF Olin 101

Plan for Lecture 25:1. Comments on Exam 32. Pep talk on preparing for Final Exam3. Comprehensive review – Part I

Bonus attendance points for Lecture 26 – Part II of comprehensive review & course assessment

PHY 113 C Fall 2013 -- Lecture 25 212/93/2013

PHY 113 C Fall 2013 -- Lecture 25 312/93/2013

Final exam schedule for PHY 113 C

PHY 113 C Fall 2013 -- Lecture 25 412/93/2013

Comments on Final Exam It will be comprehensive (covering material

from Chapters 1-22) It is scheduled for 9 AM Dec. 12th in Olin 101 In class format, but there will be no time

pressure May bring equation sheets according to your

vote

PHY 113 C Fall 2013 -- Lecture 25 512/93/2013

Comments on Exam 3

iclicker questionWhich of the following statements matches your recollections of the exam:

A. It was too hardB. It was too easyC. The Thanksgiving holiday erased all

recollections of the exam

Solutions are now posted: http://users.wfu.edu/natalie/f13phy113/solutions/

PHY 113 C Fall 2013 -- Lecture 25 612/93/2013

Two versions of take-home portion of exam

PHY 113 C Fall 2013 -- Lecture 25 712/93/2013

Take home portion of Exam 3 -- continued

PHY 113 C Fall 2013 -- Lecture 25 812/93/2013

Take home portion of Exam 3 -- continued

PHY 113 C Fall 2013 -- Lecture 25 912/93/2013

Take home portion of Exam 3 – continued

Two problems with question:1. Round-off error in adiabatic step

2. Error in Lecture 21 notes (now corrected)

2940.01952503

2m 0123.0

:process adiabaticFor

5.1/13

/1

C

AAC

CCAA

P

PVV

VPVP

PHY 113 C Fall 2013 -- Lecture 25 1012/93/2013

Work done on a system which is an ideal gas:

“Adiabatic” (no heat flow in the process process)P

(1.

013

x 10

5)

Pa

Pi

Vi Vf

Qi®f = 0

11

1

i

fii

V

V

ii

V

V

fi V

VVPdV

V

VPPdVW

f

i

f

i

For ideal gas:

PVg = PiVig

1

11

f

iii

V

VVP

Corrected equations from #21:

PHY 113 C Fall 2013 -- Lecture 25 1112/93/2013

Further comments on adiabatic processes

since :Note

11

1

1

11

0 :process adiabaticFor

:amics thermodynof lawFirst

int

1

1

int

int

int

CCAAACAC

C

AAA

V

V

AA

V

V

AA

V

V

AC

CCAAAC

ACACAC

ACACAC

VPVPEW

V

VVP

VVP

V

dVVPPdVW

VPVPE

WEQ

WQE

A

C

A

C

A

C

PHY 113 C Fall 2013 -- Lecture 25 1212/93/2013

Take home portion of Exam 3 -- continued

PHY 113 C Fall 2013 -- Lecture 25 1312/93/2013

iclicker question

This problem A. Of all the problems that might appear on the final

exam, this one would be the worst.B. Of all the problems that might appear on the final

exam, this one would not be the worst.C. This example has inspired me to look into designing

better engines or heat pumps.

PHY 113 C Fall 2013 -- Lecture 25 1412/93/2013

In-class portion of Exam 3

PHY 113 C Fall 2013 -- Lecture 25 1512/93/2013

In-class portion of Exam 3 -- continued

Ssound

Osound

vv

vvff

'

toward

away

PHY 113 C Fall 2013 -- Lecture 25 1612/93/2013

In-class portion of Exam 3 -- continued

VS

f’=560 HzVS

f’=480 Hz

PHY 113 C Fall 2013 -- Lecture 25 1712/93/2013

Hzf

smvf

f

vv

vv

vv

vff

vv

vff

v

Safter

before

Ssound

Ssound

Ssound

soundafter

Ssound

soundbefore

O

92.516

/38.26 1666666.1480

560

'

'

' '

0 case, In this

VS

f’=560 HzVS

f’=480 Hz

PHY 113 C Fall 2013 -- Lecture 25 1812/93/2013

In-class portion of Exam 3 -- continued

N 10.6166

3

2

3

1

gVgVF BAB

PHY 113 C Fall 2013 -- Lecture 25 1912/93/2013

In-class portion of Exam 3 -- continued

kg083.1m/s 9.8

N 10.6166

0

2

g

Fm

Fmg

mgF

B

B

B

FB

mg

PHY 113 C Fall 2013 -- Lecture 25 2012/93/2013

In-class portion of Exam 3 -- continued

33

kg/m 6666.2166m 0.0005

kg083.1

V

msolid

iclicker questionA. This density seems correct.B. This density seems wrong.

PHY 113 C Fall 2013 -- Lecture 25 2112/93/2013

In-class portion of Exam 3 -- continued

ffo TCTC

iCi QQQQQ

ooo 100water 0 ice meltedicemelt 00.5- ice

0

CT

TTQo

f

ff

04.60

10041867.0041862.03330002.05.0020902.00

PHY 113 C Fall 2013 -- Lecture 25 2212/93/2013

In-class portion of Exam 3 -- continued

ffo TCTC

iCi QQQQQ

ooo 100water 0 ice meltedicemelt 010- ice

0

kgm

mmmQ

76.0

1001041868.0010418633300010020900

PHY 113 C Fall 2013 -- Lecture 25 2312/93/2013

Back to the discussion of the Final exam:

iclicker question

What is the purpose of the Final Exam?A. Pure pain and sufferingB. Assessment of student learningC. Gateway to medical school or other

professional careerD. Help students to “solidify” knowledge of

physics and further develop problem solving skills

E. All of the these

PHY 113 C Fall 2013 -- Lecture 25 2412/93/2013

iclicker question

How many equation sheets should you prepare for Final Exam?

A. 0B. 1C. 2D. 3E. 4

PHY 113 C Fall 2013 -- Lecture 25 2512/93/2013

General advice on how to prepare for Final Exam

Review fundamental concepts and their corresponding equations

Develop equation sheet(s) that helps you solve example problems on all of the material. You can assume that empirical constants and parameters will be given to you; they need not take up space on your equation sheet.

Practice problem solving techniques. If you discover unanswered questions, please

contact me.

PHY 113 C Fall 2013 -- Lecture 2512/93/2013

Advice:

1. Keep basic concepts and equations at the top of your head.

2. Practice problem solving and math skills

3. Develop an equation sheet that you can consult.

Equation Sheet

dt

ddt

d

m

rv

va

aF

Problem solving skills

Math skills

26

PHY 113 C Fall 2013 -- Lecture 25 2712/93/2013

Problem solving steps

1.Visualize problem – labeling variables2.Determine which basic physical principle(s) apply3.Write down the appropriate equations using the

variables defined in step 1.4.Check whether you have the correct amount of

information to solve the problem (same number of knowns and unknowns).

5.Solve the equations.6.Check whether your answer makes sense (units,

order of magnitude, etc.).

PHY 113 C Fall 2013 -- Lecture 25 2812/93/2013

Specific review material -- standing sound waves

General wave equation:

),(

2

22

2

2

x

yc

t

y

txyy

wave propagation distance

time

wave speed

PHY 113 C Fall 2013 -- Lecture 25 2912/93/2013

Specific review material -- standing sound waves

Periodic wave:

cf ftx

ytxy

cTT

txytxy

φλ

π2sin),(

or

λ φ

λπ2sin),(

0

0

cTT

txytxy

λ φ

λπ2sin),( 0

Periodic traveling waves:

Amplitude

wave length (m)

period (s); T = 1/f

phase (radians)

velocity (m/s)

PHY 113 C Fall 2013 -- Lecture 25 3012/93/2013

T

txytxy

T

txytxy leftright λ

π2sin),( λ

π2sin),( 00

T

txytxtxy leftright

π2cos

λ

π2sin2),(y),( 0

“Standing” wave:

Combinations of waves (“superposition”)

BABABA 21

21 cossin2sinsin

: thatNote

PHY 113 C Fall 2013 -- Lecture 25 3112/93/2013

Specific review material -- standing sound waves

open-open open-closed

y(x,t) is density fluctuations in the air v=vsound » 343 m/s

PHY 113 C Fall 2013 -- Lecture 25 3212/93/2013

Specific review material -- standing string waves (which can couple to sound) L

L

vn

vf

nn

L

string

n

stringn

n

2

....3,2,1 2

PHY 113 C Fall 2013 -- Lecture 25 3312/93/2013

iclicker questionHow can we hear a standing wave on a string?

A. The string couples to the air to produce a sound wave at the same wavelength

B. The string couples to the air to produce a sound wave at the same frequency

C. You cannot hear a standing wave on a string

pv

Tv

sound

string

PHY 113 C Fall 2013 -- Lecture 25 3412/93/2013

Bonus attendance points for Lecture 26 – Part II of comprehensive review & course assessment

Bonus points for emailing in questions you would like to discuss in Lecture 26