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Practice Final Exam. Pleasedo all of the following problems. (^) You are allowedto havea formula sheet,calculatorand ruler. Pleaseshowyour work
Part I. Multiple ChoiceProblems. Eachquestionis worth 6 points,
- Two objectswith different massescollideand stick to eachother. Comparedto beforethe collision,the systemof two objectsafter the collisionhas A. the sametotal momentumand the sametotal kinetic energy, (B/the sametotal momentumbut lesstotal kinetic energy. T lesstotal momentumbut the sametotal kinetic energy. D.lesstotal momentumand lesstotal kinetic energy. E.not enoughinformation given^ to decide
- A glider of massttt orra frictionlesshorizontaltrack is connectedto an objectof massmzby a masslessstring.The glider acceleratesto the right, (^) the object acceleratesdownward,and the string rotates the pulley.What is the relationshipbetween Tr fthe tensionin the horizontalpart of the stringJ,Tzfthe tensionin the vertical part of the string),and the weight mzgof the object? A.mrg=Tz=Tt B.mtg> Tz= Tr /€)"rs > Tz> Tt
- mzg= Tz> Tr E.noneofthe above
- Comparedto the Earth,PlanetX hastwice the massand twice the radius.This meansthat comparedto the Earth'ssurfacegravity,the surfacegravity on PlanetX is A. 4 times as much. B. twice as much. A the same.
{ D)I/2 asmuch. 4^ t/+ as much.
- A satelliteis moving aroundthe Earth in a circular orbit. Overthe courseof an orbit, the Earth'sgravitationalforce A. doespositivework on the satellite. B. doesnegativework on the satellite. C.doespositivework on the satelliteduring part of the orbit and negativework on the satelliteduring the other part.
,.@
aoeszero work on the satelliteat all points^ in the orbit.
PHY1OO1 Final^ Exam
- Block/ on the left has^ mass1.00kg.^ Block^ B on the right hasmass3.00kg.^ The blocksare forcedtogether,compressingthe spring.Then^ the systemis released from rest on a level,frictionlesssurface.After the blocksare released,the kinetic energy[KE) of block.4 is A.1/9 the KE of blockB. 8.1./3 the KE of blockB, @ times^ the KE^ of block B. D. 9 times the KE of block B. E.the sameas the KE of block B.
na = l.00kg ns :^ 3'00kg
- A solid bowling ball rolls down a ramp. Which^ of the following forcesexertsa torque on the bowling ball about^ its center?
A. the weight of the ball B. the normal force exertedby the ramp
. The answerdependson whether the ball rolls without slipping.
- (^) A yellow block and a red rod are joined^ together.The^ two objectshaveequal masses.Assumingyou know the moment^ of inertia of each(around^ their centersof mass),howwould you computethe moment^ of inertia of the two combined,around the point markedwith an "X"? A. Add the two momentsof inertia. /6\eOa the momentsof inertia to the Lploduct of masstimes % their long dimensionsquaredfor each. C.It dependson the torque being^ exerted D. not enoughinformation given^ to decide.
B.An object is initially at rest.A net force^ fwhich alwayspoints in the same direction) is appliedto the objectso^ that the power^ of the net force^ is constant.As the obiectgainsspeed, A. the magnitudeof the net force remainsconstant. /&.\themagnitudeof the net force^ increases.
{-6. { CJtnemagnitudeof the net force^ decreases. not enoughinformation given^ to decide
table. The captainof the ship (^) flies the spaceshipto PlanetX and observesthat a ball rolled at the samespeedfrom the sametable landsa distance3d from the foot. What (^) is the accelerationof graviWon planetX? ["ei + ;;-'W,"";,X;rW""i';';;^,,:i*t6^ ,{ 1,"6sl eL;h4.vL{dc,V *ul =^ '^-?t{wd (^) ' A W
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PHY1OO1 (^) Final (^) Exam
1'2.Proiectile Motion. On a spaceshipin dock on the surfaceof the Earth,a ball is rolled off the top of a horizontaltable and landsa distanced from the foot of the
L4. Swinging from the Trees Tarzan,in one tree, (^) seesfane in anothertree. Tarzan grabsthe end of a 20-m long (^) vine that makesan angleof 45owith the vertical,steps offhis tree limb, and swingsdown and then up to give (^) fane a hug. When he arrives , his vine makesan angleof 30" with the vertical. Whatwas Tarzan'sspeedjust beforehereachedfane? , I u,*i r'^i *D^ +^
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PHY1OO1 Final^ Exam
- Conservation of Momentum. A Lithium-Snucleus[sLiJis moving^ 6.0x10sm/s when it decaysinto a proton [1H) and an alphaparticle^ (uHe)[The superscripted numbersare the total number of neutrons+ protons^ in the nucleus,and give^ its approximatemassin atomic massunits[u)]. After the decay,the alphaparticle^ is moving at 3.0x10sm/s, at 40" to the original^ velocity^ of the sli nucleus.What is the magniiudeand direction of the proton's^ velocity? (^) P ; p, ".
ftt,.u,;''f,F, (^) "1"?
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miles per hour on a level road. If this car makesa 200-km^ trip, [a) how many^ joules of energydoesit consume,and (b) what is the averagerate of eners/ consumption onthetrip. Assumethatlgallonofgasolineyieldsl.3xlOef. f, n.. tr tlt_l*s ^ 4t / -\ n d^ [l t-^ {rwldn (^) Luryt;"u,,rnl
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- Potential Enerry in Molecules The^ potential^ energyof two atomsin a moleculeis describedby {l(r)=a/rtz-b/r6where r is the spacingbetweenatomsand a and b are positive constants.[aJWhat is the force^ F(r) on one^ atom as^ a function of r? (b) What is the equilibrium distancebetweenthe two atoms. Is^ this equilibrium stable? (^) ^ | ./" [r^)f:'-# r :-ri + ry tr, /*\t, ,\ \ A i nrny^.il'r'\71f i''t;t'6 {^ *fr "b.
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PHY1OO1 (^) Final Exam
- Launching a Rocket. At launch,the spaceshuttle weighs 4.5 million pounds. Within the first 8.00safter launch,its speedis 161 lan/h, and after the first 1.00min its speedis 1610 km/h.
aJ (10 points) What is the averageaccelerationfin m/sz) of the shuttle during [i) the first 8.00^ s and (ii) between8.00^ s and 1 min?
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b) (B^ points) What is the altitude of the spaceshuttle after 1 min?
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[6 points) Canyou calculatethe force required to attain these^ accelerations, given the information in this problem? Why or why not?
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PHY1OO1 Final Exam
20.You are designinga missionto exploreMars (g=3.7m/sz).An exploreris to step out of a vehicletraveling horizontallyat 33 m/s when it is 1200 m abovethe surface, and fall freely for 20 s. At that time, a portablerocket beginsto fire, exertinga constantforce that decreasesher speedto zero when shetouchesthe surface.The total mass(explorer,suit, equipment& rocket) is 150kg. You may ignorethe mass of the rocket'sfuel. a. (13 pts) Find the horizontaland vertical componentsof the force exertedby the rocket. i**^ $tt,^ zos 'ltlf"^ f-Stf ;r :
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b. [9 points) For how long mustthe rocket fire?
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