𝒈 = 𝟏𝟎 (𝒎/𝒔𝟐) 𝝅 = 𝟑

𝑣!"# =Δ𝑟Δ𝑡; 𝑣 =

𝑑𝑟𝑑𝑡; 𝑎!"# =

𝛥𝑣𝛥𝑡

; 𝑎 =𝑑𝑣𝑑𝑡

𝑎! =𝑑𝑣𝑑𝑡; 𝑎! =

𝑣!

𝑟

𝑎 = 𝑠𝑎𝑏𝑖𝑡 ⇒ 𝑣 = 𝑣! + 𝑎𝑡 ; 𝑥 = 𝑥! + 𝑣!𝑡 +12𝑎𝑡!

𝐹 = 𝑚𝑎 ; 𝑓! = 𝜇!𝑁 ; 𝑓! ≤ 𝜇!𝑁 ; 𝑊 = 𝐹.𝑑𝑙 ;𝐾 =12

𝑚𝑣!

𝑊! = ∆𝐾 ; 𝑈 = 𝑚𝑔𝑦 ; 𝑈 =12𝑘𝑥!

𝜽 00 300 370 450 530 600 900

Sin 0 0.5 0.6 0.7= !! 0.8 0.86= !

! 1

Cos 1 0.86= !! 0.8 0.7= !

! 0.6 0.5 0

Questions1-3Perform the below operation by using two vectors (𝑎 = 3(𝑚),𝑏 = 2(𝑚))shown infigure.1)𝑎 − 𝑏 =?a)3.4𝚤 + 3.6𝚥 b)0.2𝚤 + 1.2𝚥 c)−0.2𝚤 + 1.2𝚥 d)−0.2𝚤 + 3.6𝚥 e) 0.2𝚤 + 3.6𝚥2)𝑎 ∙ 𝑏 =?a) 2.88𝚤 − 2.88𝚥 b) 0 c)1 d)−2.58𝚤 + 2.58𝚥 e)23)𝑎x𝑏 =?a) 6𝑘 b)−6𝑘 c)−6 d)−2.16𝑘 e) 2.16𝑘Questions4-6Acarisstoppedatthetrafficlight.Then,ittravelsalongstraightroadsothatitsdistancefromthelightisgivenby 𝑥 𝑡 = 𝑏𝑡! − 𝑐𝑡!,where𝑏 = 2.40𝑚/𝑠!and𝑐 = 0.120𝑚/𝑠!.4)Calculatetheaveragevelocityofthecarbetween𝑡 = 0 and𝑡 = 10𝑠.a)10 (𝑚/𝑠) b)240 (𝑚/𝑠) c)12 (𝑚/𝑠) d)24 (𝑚/𝑠) e)120 (𝑚/𝑠)5)Calculatetheinstantaneousvelocityofthecarat𝑡 = 5𝑠.a)30 (𝑚/𝑠) b)24 (𝑚/𝑠) c)16 (𝑚/𝑠) d)15 (𝑚/𝑠) e)9 (𝑚/𝑠)6)Howlongafterstartingfromtherestisthecaragaininrest?a) !"

! (𝑠) b)!

! (𝑠) c)!

! (𝑠) d) !

!" (𝑠) e) !

! (𝑠)

YTUPhysicsDepartment,2018-2019FallSemester

ExamDate:2018 ExamDurationmin.

FIZ1001Physics-1Midterm The9tharticleofStudentDisciplinaryRegulationsofYÖK Law No.2547 states “Cheating or helping tocheat or attempt to cheat in exams” de factoperpetrators takes one or two semesterssuspensionpenalty.Students are NOT permitted to bring calculatorsmobile phones, smart watches and/or any otherunauthorised electronic devices into the examroom.

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Questions7-9An object is projected at an initial speed𝑣!at an angle60!withrespecttothehorizontaltowardawallofheight𝐻whichisadistance 3𝐻awayinitially.

7)Yourjobistomakesurethatinitialspeedisbigenoughsothattheprojectilegoesoverthetopofthewall.Whichofthefollowingistheminimumspeedsuchthatitdoes?

a) 2𝐻 b) 10𝐻 c)3 10𝐻 d) 30𝐻 e) 3𝐻8)Howlongdoesittaketheprojectiletoreachthetopofthewall?

a) !!" b)2 !

!" c) 4 !

!" d) !

!" e)2 !

!"

9)Whatisthetangentialandradialcomponentsoftheaccelerationwhenithitstheground?a)𝑎! = 3 (𝑚/𝑠!)𝑎! = 3(𝑚/𝑠!)

b)𝑎! = − 3(𝑚/𝑠!)𝑎! = 3(𝑚/𝑠!)

c)𝑎! = 5 3(𝑚/𝑠!)𝑎! = 5 3(𝑚/𝑠!)

d)𝑎! = 5 3(𝑚/𝑠!)𝑎! = 5(𝑚/𝑠!)

e)𝑎! = 3(𝑚/𝑠!)𝑎! = 5 3(𝑚/𝑠!)

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Questions10-13Inthesystemoftriangleshapedblocksillustratedinthefigures,aconstantexternalforce𝐹isappliedinsuchawaythat𝑚!staysstationaryrelativeto𝑚!.Thewholesystemisfrictionless.Here, 𝑚! = 2.4 kg, 𝑚! = 4.0 kg

10)Which of the following is the free body diagrams for themass 𝑚!relative to a stationary observer on theground(inertialobserver)?

a)

b) c) d) e)

11)Whichofthefollowingisthecorrecttheequationsofmotionofthemasses𝑚!and𝑚!boxforastationaryobserverontheground(inertialobserver).a)0.6 𝑁!" = 𝑚!𝑎!𝐹 − 𝑓! = 𝑚!𝑎!

b)0.6𝑁!" = 𝑚!𝑎!𝐹 − 0.6𝑁!" = 𝑚!𝑎!

c)𝐹 − 0.6𝑁!" = 0𝐹 − 0.6𝑁!" = 𝑚!𝑎!

d) 𝐹 − 0.6𝑁!" = 00.6𝑁!" = 𝑚!𝑎!

e) 𝐹 − 0.6𝑁!" = 𝑚!𝑎!𝐹 − 0.6𝑁!" = 𝑚!𝑎!

12)Whatistheaccelerationsofthemasses.a)30 (𝑚/𝑠!) b) 15 (𝑚/𝑠!) c) 10 (𝑚/𝑠!) d) 7.5 (𝑚/𝑠!) e) 12 (𝑚/𝑠!)13)Whichofthefollowingsisthemagnitudeoftheforce𝐹a) 40 (𝑁) b) 20 (𝑁) c) 28 (𝑁) d) 30 (𝑁) e)48 (𝑁)Questions14Adisk-shaped space station of50 (𝑚) in radius spins uniformly about the plane of the disk through its center.Whatmustbetheangularspeedofthedisk(𝜔 = 𝑣 𝑟) sothattheaccelerationofallpointsonitsrimishalfofthegravitationalacceleration!

!?

a)0.1 (!"#!) b)0.01 (!"#

!) c)0.001 (!"#

!) d)1 (!"#

!) e) 1.1 (!"#

!)

Questions15-16AmotorcycleofmassMismakinguniformcircularmotiononacircularpathontheverticalplane.

15)Whichofthefollowingisthecorrectthefreebodydiagramofthemotorcycleatthetoprelativetoastationaryobserverontheground(inertialobserver).a) b) c) d) e)

16)Iftheradiusofthecircularpathis𝑅 = 40 𝑚 ,whatistheminimumspeedofthemotorcycletosuccessfullycompleteitsrevolution?a)30 (𝑚/𝑠) b)20 (𝑚/𝑠) c)10 (𝑚/𝑠) d)15 (𝑚/𝑠) e)40 (𝑚/𝑠)

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Questions17-20Aconstantforce𝐹 isappliedtothemassof3𝑚atanhorizontalangleof𝜃.Undertheactionof𝐹,thesystemstartsitsmotionfromtherest.(Theropeandpulleyaremasslessandfrictionless)Here, 𝑚 = 10𝑘𝑔,𝐹 = 300𝑁, 𝜃 = 37! , 𝜇! =

!!

17)Whatistheworkdonebytheforce𝐹 afterdisplacementof𝑑 = 2 (𝑚)?a)240 (𝐽) b)600 (𝐽) c)480 (𝐽) d)24 (𝐽) e)0 (𝐽)18)Whatistheworkdonebytheforceoffrictionafterdisplacementof𝑑 = 2(𝑚)?a)−120 (𝐽) b)−240 (𝐽) c)−80 (𝐽) d)0 (𝐽) e)−160(𝐽)19)Whatisthetotalworkdonebytheweightofmassesafterdisplacementof𝑑 = 2(𝑚)?a)800 (𝐽) b)−200 (𝐽) c) 600 (𝐽) d) −800 (𝐽) e)200 (𝐽)20)Whatisthespeedofthemassesafterdisplacementof𝑑 = 2(𝑚)?a) 6 (𝑚/𝑠) b) 6 !

! (𝑚/𝑠) c) !

! (𝑚/𝑠) d) 6 2 (𝑚/𝑠) e) 5 6(𝑚/𝑠)

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