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PHY 1001- Physics 1 Final Exam
Name: Sor,^ T-r oa)d
Pleasedo all of the following problems.^ You^ are allowedto have^ a formula sheet,calculator and ruler. Pleaseshow your work.
Part I. Multiple ChoiceProblems. Eachquestionis worth 6 points.
L. You tossa ball straight upward (in the +y^ direction). The ball falls freely under the influenceof gravity, At the highestpoint in the ball's^ motion: A. Its velocity is zero and its accelerationis zero. B..ltsvelocity is zero and its accelerationis positive^ (i.e.,in the +y^ direction or upward). ( C.)Itsvelocityis zero and its accblerationis negative[i.e,,in the -y direction or downwardJ. Y Its velocity is positive (i.e.,in the +y^ direction) and its accelerationis zero. E. Its velocity is negative(i.e.,in the -y direction) and its accelerationis zero.
- A tobogganof weight w fincludingthe passengers) slidesdown a hill of angleaata constantspeed.Which statementabout the normal force on the toboggan (magnitudenJ is correctZ A.n=w Ar"
(9n. a,
D.not enoughinformationgivento decide
- A ball sits at rest on a horizontaltable. Why is the magnitudeof the upward force exertedby the table top on the ball equalto the ball's^ weight? .d-
( bAt's a consequenceof Newton'sfirst law. -8. (^) It's a consequenceof Newton'sthird law.
C. Becausewe assumethat the table^ top is perfectlyrigid. D. Two of the abovestatementsare correct E. All of the first three statementsare correct.
- Blocks,4and Care connectedby a string as shown.When released,blockI^ acceleratesto the right and block Cacceleratesdownward.There^ is friction betweenblocks.4and^ B,^ but not enoughto prevent^ block^ B from slipping.If you stood next to the table during the time that block B is tliPping on top of block,4,you would see (A.)lock B acceleratingto the right. Ybtoct B acceleratingto the left. C.block B moving at constantspeedto the right. D.block B moving at constantspeedto the left.
PHY 1001- Physics 1 Final Exam
Name:
- (^) As a rock slidesfrom.Ato B alongthe inside of this frictionlesshemisphericalbowl, mechanicalenergyis conserved.Why? (ignoreair resistanceJ A. The bowl is hemispherical. B. The normal force is balancedby centrifugalforce. C.The normal force is balancedby centripetalforce. (U2fn" (^) normal force actsperpendicularto the bowl's Yurface. E.The rock's accelerationis perpendicularto the bowl's surface.
- Threeblocksare connectedas shown.The^ ropesand pulleysare of negligiblemass. When released,block C movesdownward,block B movesup the ramp, and block.Amoves to the right. After eachblock hasmoveda distanced, the force of gravity hasdone A. positivework onA, B, and C. B. zero work on A" positivework on 4 and negativework on C.
@i"rowork on A, negativework on B,^ and positivework on C. D.noneofthese
- A solid bowling ball rolls down a ramp. Which of the following forcesexertsa torque on the bowling ball about its center?
A. rhe weight of rhe ball Athe normal force^ exertedby the ramp ( C.)hefriction force^ exertedby the ramp Y. more than one of the above E.The^ answerdependson whether the ball rolls without slipping.
B.A yellow block and a red rod are^ joined^ together.The^ two objectshaveequalmasses. Assumingyou know the moment of inertia of each(aroundtheir centersof massJ,how would you computethe moment of inertia of the two combined,around the point marked with an "X"? A. Add the two momentsof inertia. @. naathe momentsof inertia to the product^ of mass times Tztheir long dimensionsquaredfor each. C.It dependson the torquebeingexerted. D. not enoughinformation givento decide.
PHY 1001-Physics (^) I (^) Final Exam
Name:
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11.CollisionA brotherandsister,Robert(mass70kgJ
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skatingon a lake. Robertis skatingat 10.0m/s due (^) south,and Rebeciais skatingat 15. m/s due northeast.After the collision,Rebeccahasa velocity (^) of magnitude IZ.Om/s due north. What are the magnitudeand directio;rof Robert'svelocity after the collision? (nnSel (^) v crhvn hl (^) Aa-r,a""+u/v,L
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the end of a 20-m long vine that makesan angleof 45owith the vertical,stepsoff his free limb, and (^) swingsdown and then up to give (^) Janea hug. When (^) he arrives,his vine makesan angleof 30" with the vertical, What was Tarzan'sspeedjust beforehe reachedJane? t O Srav;\
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PHY 1001- Physics 1 Final Exam
Name:
- 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 table. The captainof the ship flies the spaceshipto PlanetX and observesthat a ball rolled at the samespeed from the sametable landsa distance3d from the foot. What is the accelerationof gravity on PlanetX?
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- Equations of Motion A bird flies in the [xy) planewith a velocityvector given^ by I = (o - (^) ft')i + y$, wirh a=Z.4mls, B=1.6m/ s3,andp4.0m / s2.At t=0 thebird is at the origin. Calculatethe position^ and accelerationvectorsof the bird as^ functionsof time.
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Pfry 1001- PhysicsI (^) Final Exam
Name:
Part 3. Pleasedo all of the remainingproblems. / t. l-7.Rotational Motion^ (18 points)^ A hollow,^ sphericalball of mass1.00kg rolls without k v^ slippingdornrna 4A"slope.^ What is the acceleration,friction force^ and^ minimum coefficient of friction qeededto prevent slipping? ,/ :A4o.* ,ThJJth : JP\ Nrf,IZf== 'l'\a h v
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PlfY 1001-Physics (^) I (^) Final Exam
Name:
LB. (14 points) Kinetic Enerry of a Rotating Bar A thin, uniform 12.0-kgbar that is 2. m long rotatesuniformly about a pivot at one end,making 5.00 revolutionsevery 3. seconds.What is the kinetic energyof the bar? (^) s
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=
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- (L6 points) Potential Energy in Molecules The potential (^) energr of two atomsin a moleculeis describedby (^) U(r)=a/rtz-b/r6where r is the spacingbetweenatomsand a and b are positiveconstants. (aJWhat is the force F(r) onone atom as a fun
a (^) -cJU
,dn
bt,
5 K= )(; l'oV)
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- lK= 574s \
t2^ +-F F
[b) What is the equilibrium distancebetweenthe two atoms. Is this equilibrium stable?
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