Final Exam ReviewPractice ExamSupplemental InstructionIowa State University

Leader: --=--=-"'-'--''------------Course: ---'-------------

Instructor: ------------Date:

Matt TPhysics 221WhisnantIHo5/5/13

1. Topics: Relative MotionA bird flies across a SO.O-mwide canyon that runs north-south (see sketch). The birdtravels at a speed of 5.00 mls with respect to the air. There is a wind blowing from thenorth to the south with a speed of 3.00 m/s. How long will the bird take to cross thecanyon if it wants to travel straight across, from point A to point B?

~ ~ ...>\Jo/fY -t \/"'/(; - V~/0> >

£. f, :; N - Wlj + l=~'1-{1 :> 0() • H - ..."rI;;" n,j - hkD tv')i Flt ~ fu-J"!0 - f1V-·N '" 0

f tOjil ~.J1\:,.r ~ I- (WI) - Fl71-DJ ~f" A.,'r'I1j

~ ~ "2-D2- N~.rt>tMio- t-l1 e

A. 6.25 sB. 10.0 sC. 11.35@ 12.5 sE. 16.7 s

'I ~S

.ro...--;;;- ::~ -5'

2. Topics: Newton's Laws, I-D Kinematics, FrictionA crate of mass In = 51.0 kg is pulled in a straight line alonga horizontal floor at constant speed l' = 0.300 rn/s. Anapplied force F is exerted on the crate at an upward angle e= 45.0' to the horizontal as shown in the figure. Gravity isacting downward on the crate. The coefficient of kineticfriction of the crate with the floor is 0.400. The magnitudeof the applied force is F = __ N. (Hint: consider the )~component of F when calculating the normal force of thefloor on the crate)

A. 100150200250300

~D.E.

N

A

+I----------1 B

Fy

e-.......-.,~-~-~;;> ...()

_fc.9) .--+) V

Supplemental Instruction1060Hixson-Lied Student Success Center .:. 294-6624 .:. www.si.iastate.edu

3. Topics: 2-D Kinematics, Constant AccelerationA cannon ball is launched hcrizontally off a cliff ofheight h = 11.0 m above the ground with speed VQ =40.0 mls as shown in the figure. The cannon ballgoes a horizontal distance D = __ m before hitting hthe ground. ignore any influence of air friction.

-Vo

A. 20B. 40e 60D. 80E. 100

'.

D

4. Topics: Rotational Motion, Conservation of Angular Momentum, Moment ofInertiaA track is mounted on a large wheel of mass M = 2.0 kg and radius R = 0.5 Ill,which is free to turn with negligible friction about a vertical axis through itscenter. A toy train of mass m = 1.0 kg is placed on the track and, with the systeminitially at rest, the train's electrical power is turned on. The train reaches a speedof 0.15 rn/s with respect to the track. What is the angular speed of the wheel?(Treat the wheel as a hoop, and neglect the mass of the spokes and hub.)

~O.IO radlsB) 0.13 radlsC) 0.16 radlsD) 0.20 rad/sE) 0.25 radls

5. Topics: Statics (Newton's Second Law and/or Torque)Two point masses m, = 5.00 kg and "', =15.00 kg are balanced on a masslessbeam (the distances L, and L: jn the

figure are not to scale). If L, = 6.00 m.lhenL,= _ffi.

A. I@ 2C. 3D. 4E. 5

1.'[ -:;0

""'0" ; ~l"'-t~ .t ...... ),l l. .......'Z. -::

I'

massless bea

6. Topic: Conservation of Mechanical Energy, Energy DiagramsThe figure below represents potential energy as a function of position on the x axis.

40

o

rrr I j lI\

,j II

\ j /\ I \ 1/\ / \ /\ /f\/2 4 6

20

-20

ox (m)

The force associated to this potential is the only force acting on a particle with mass1.00 kg. When the particle is at x = 6.00 m, its velocity is v = -5.00 m/s. What is themaximum kinetic energy that this particle will achieve?

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" o + 1LI ~, ) . l~S' ~ )_ "'{ _",) fL.+- ,; I 'Z..r- :s

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lAO",l·r ....):;. -~ot"'£ =.,2·F)

A. 10.0JB. 12.5 JC. 22.5 JD. 30.0 J(S)42.5 J

/e-E-;.~O Jt\2.·rs

7. Topic: Doppler EffectAn emergency vehicle is approaching you with a speed of 35 mls while you standon the sidewalk. Y 011 bear a sound wave of frequency 850 Hz from the siren ofthe emergency vehicle. What frequency would you hear if the emergency vehiclestood at rest next to you?

€j 763 Hzb. 784Hzc. 804 Hzd. 878 Hze. 910 Hz

A. 1 E. 5

8. Topic: Pendulums, Periodic MotionTwo simple pendulums are constructed with very light strings. Pendulum 1 has a stringof length L and a bob of mass m. Pendulum 2 has a string of length 2L and bob of mass2m. Let T1and T2 be the periods of these pendulums for small oscillations. What is theratio between these periods, TJT2?

1A.

41B.2

@~D. .fi.E. 2

TT=-

9. Topic: Harmonic Motion, Standing WavesA stretched string of length 1.11 m has both ends fixed in position. The tension in the string is500 N. The 3'" harmonic transverse standing wave on the string has a frequency of 550 Hz. Thelinear mass density of the string is __ g/m.

10. Topic: Harmonic MotionThe figure below is a "snapshot" of a wave at one pointin time. The frequency ofthe wave is 120 Hz. What is the speed of the wave?

\~" \10 \h Y(mr-') .....,A) 10 .mls

~

12m1S) 4m1s) 36 m1s

E) 48 mls ~:; H::. b· 20' I~o

t"1~ l'"{ 5 \

.010

o 010

x(m)

0"0 30

11. Topic: Volumetric Thermal Expansion (for AI, alpha = 2.4e-5 11K)An aluminum solid sphere has a radius of3.00 ernat room temperature (300K).To which temperature should we heat the sphere if its volume is to increase by

0.1%? DIJ- J."\ \10 is@) 314K ~ ..L ~ If -Ii,b. 328 K 1/. }~

c. 342K T'+~d. 355 K ~ 3 qe. 371 K

=

l> \f ~ ~ . \l c> '~T

~ ~') 0(

12. Topics: Thermodynamics, Phase Changes (assume tea has the same properties as water)Some ice at O'C is placed in a thermos that contains 0.500 liters of tea at 70.0·C. Theice melts and the system reaches equilibrium at a final temperature of 40.0"C. Howmuch ice was placed in the tea?

ill \ l+ 1-' VI-" +q.JJ -e, Q ( ; c..e. \J" (,00 ltd)~~ \Jl ',(..t!Me f \ .....0.\ ~ \.:1' "-<4'tl 125 g

B 188 g L. C (C: 198 g -"I ic ~. f 1 t110 + ...,;~ H~o' 1l1'::.- ...f .... · ~ ~D' 0rD. 375 g ~ ...,fC#1 • [/:Ito' DIE. 452 g """il..e

~f,l1l0 t~e'(~~ollr:>

(J. s: \l~ . Y Iq 0 L .1, . s" \<... J 3" fj ....

31,/(}oo 1<., t- Y/IfO' SD Ie-

=- o·12r ~J

----------------------------------------

15. Topics: Ideal Gas Law, Kinetic Model of Gases, Root-mean-square VelocityNeon gas is a monatomic ideal gas with an atomic weight of 20.2 g1mol. The rrns speed of a neonatom in neon gas at a temperature of 292 K is __ mls.

A. 400 550

16. Topics: First Law of Thermodynamics, Thermodynamics ProcessesAgas goes through the thermodynamic cycle A~ B~ C~ Ashown below. Let W, Qand t.U be the total work done by the gas, heat absorbed by the gas and change ininternal energy of the gas in each cycle. Which of the following is true?

x W > 0; Q > 0; lJ.U > 0(9 W > 0; Q > 0; lJ.U = 0~ W = 0; Q < 0; lJ.U < 0D. W< 0; Q > 0; lJ.U = 0E. W < 0; Q < 0; lJ.U = 0

pA

cA - 0j)v,,\~\{ -W/tg >\,..)13c..

v-J ~ c,,\e ') 0

......-.....:~--~BC

v

17. Topics: Thermodynamics Processes, WorkAn ideal gas goes around one complete cycle in aclockwise direction on a P: V diagram as shown in thefigure, where the initial point I on the cycle is the same asthe final point 2. The net work done by the gas during thecycle is L'atm,

@8B. -8C. 12D. -12E. 18

IrJ = AlAe.= L· w ~ Lj L' 2.. Ol~

:;~l'Rtv-

--------------

18. Topics: Carnot Cycle, Second Law of ThermodynarnicsA Carnot heat engine that operates between a low temperature TL = 300 K and a high temperatureTH = __ K has an efficiency of 50% for conversion of heat into work.

A.400 B. 500 @600 D. 700 E. 800'1<- (- ~oo

i~ I-Tt-I' ":: - . 19.f" ~ -Ttl

19. Topics: Carnot Cycle, Second Law of ThermodynarnicsA heat engine operating between 40°C and 380°C has an efficiency 60% of thatof a Carnot engine operating between the same temperatures. If the engineabsorbs heat at a rate of 60 kW, at what rate does it exhaust beat?

t. _ 0." ( 1- ;2..")11'1°)Ii. -:. (). b· l-(o; ""t" - 2- ??t10C>

= o· ~ (2 ~ ~

QH ~ v.> +- Q c.

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Qt~ 6o/W(r -0· SId.:. 'i (l.'lf! (..vJ

~

)36kW41 kW

C 57kWD)60kWE) 66 kW

(f-S,p;

20. Topics: Carnol Cycle, Second Law of Thermodynamics

A) 224 K8) 310 KS<) 340 KQ) 378 KE)412K

77) A Carnot engine whose high-temperature reservoir is at 620 K takes in550 J of heat at this temperature in each cycle and gives up 335 J to the low-temperature reservoir. What is the temperature of the low-temperaturereservoir? ,,\ _, t I\:) e : ~ _ QH- Qt

\J{I~ -\V c. c-- If - ~ =-/-H QI1

:>'j"D- H-C _ l _ r'-ssv ",0

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21. Topics: Entropy, Phase ChangesWhen 1.00 kg of ice at its freezing point of 0 'C is melted, the entropy of the resulting liquid waterat 0 'C is .__ the entropy of the icc at 0 'c. s~

TQ-r

A. smaller than ~arger than

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C. the same as

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