5AL Lab 2 Assignment Submission

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University of California, Los Angeles *

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5A

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Physics

Date

Jan 9, 2024

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pdf

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7

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16a[lYSiNOIPQK 3: -2>CDstPQK XRhPQKrPQK tXRhPQK pa[lot oUVPf y vs. t . ´YSiNOI tXRhYSis pa[lot >CDVWQgrPQKPQK wYSitXRh your s`ZkPQKtLMGXRh you suFKLb\mYSittPQKNOI YSic]n your prPQK-a[l>CDFKL? 38sPQK your pa[lot to PQKstYSib\m>CDtPQK tXRhPQK b\m>CDxYSib\mub\m XRhPQKYSiVWQgXRht >CDLMGXRhYSiPQKvPQKNOI UVPfrob\m tXRhPQK YSic]nYSitYSi>CDa[l posYSitYSioc]n YSic]n tXRhPQK UVPfYSirst tr>CDLMG`ZkPQKNOI UVPfr>CDb\mPQK >CDc]nNOI tXRhPQK tYSib\mPQK YSit too`Zk to VWQgPQKt to tXRh>CDt XRhPQKYSiVWQgXRht. 27XRhPQK pa[lot >CDVWQgrPQKPQKs wYSitXRh our s`ZkPQKtLMGXRhPQKs UVPfrob\m tXRhPQK prPQK-a[l>CDFKL YSic]n YSits NOIowc]nw>CDrNOI-UVPf>CDLMGYSic]nVWQg p>CDr>CDFKLoa[lYSiLMG sXRh>CDpPQK. 27XRhPQK b\m>CDxYSib\mub\m XRhPQKYSiVWQgXRht >CDLMGXRhYSiPQKvPQKNOI YSis >CDFKLout 1.5 b\mPQKtPQKrs.
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16a[lYSiNOIPQK 4: -2>CDstPQK XRhPQKrPQK tXRhPQK pa[lot oUVPf v y vs. t . ´YSiNOI tXRhYSis pa[lot >CDVWQgrPQKPQK wYSitXRh your s`ZkPQKtLMGXRh you suFKLb\mYSittPQKNOI YSic]n your prPQK-a[l>CDFKL? µstYSib\m>CDtPQK tXRhPQK YSic]nYSitYSi>CDa[l vPQKa[loLMGYSity oUVPf tXRhPQK FKL>CDa[la[l YSic]n tXRhPQK UVPfYSirst UVPfPQKw UVPfr>CDb\mPQKs, >CDc]nNOI UVPfrob\m tXRh>CDt v>CDa[luPQK, LMG>CDa[lLMGua[l>CDtPQK XRhow XRhYSiVWQgXRh tXRhPQK FKL>CDa[la[l sXRhoua[lNOI XRh>CDvPQK VWQgoc]nPQK >CDc]nNOI tXRhPQK tYSib\mPQK YSit woua[lNOI t>CD`ZkPQK to tXRh>CDt b\m>CDxYSib\mub\m XRhPQKYSiVWQgXRht. ¶ob\mp>CDrPQK your rPQKsua[lts wYSitXRh sa[lYSiNOIPQK 3. 27XRhYSis pa[lot >CDa[lso >CDVWQgrPQKPQKs wYSitXRh tXRhPQK s`ZkPQKtLMGXRhPQKs UVPfrob\m our prPQK-a[l>CDFKLs, b\mYSic]nus tXRhPQK YSic]nLMGrPQK>CDsPQK YSic]n vPQKa[loLMGYSity >CDt tXRhPQK vPQKry a[l>CDst tYSib\mPQK poYSic]nt. ·c]n tXRhPQK UVPfYSirst UVPfPQKw UVPfr>CDb\mPQKs, tXRhPQK vPQKa[loLMGYSity YSis >CDrouc]nNOI 4 b\m/s. 27XRhPQKrPQKUVPforPQK, tXRhPQK FKL>CDa[la[l sXRhoua[lNOI XRh>CDvPQK VWQgoc]nPQK >CDFKLout 0.811 b\mPQKtPQKrs YSic]n 0.44 sPQKLMGoc]nNOIs. 9>PQK UVPfouc]nNOI tXRhYSis posYSitYSioc]n PQKstYSib\m>CDtPQK FKLy pa[luVWQgVWQgYSic]nVWQg 4 b\m/s >CDc]nNOI 0.44 sPQKLMGoc]nNOIs YSic]nto tXRhPQK UVPfrPQKPQK UVPf>CDa[la[l `ZkYSic]nPQKb\m>CDtYSiLMGs PQKqu>CDtYSioc]n. ·c]n rPQK>CDa[lYSity, YSit rPQK>CDLMGXRhPQKNOI YSits b\m>CDxYSib\mub\m XRhPQKYSiVWQgXRht oUVPf >CDrouc]nNOI 1.5 b\mPQKtPQKrs >CDt 0.55 sPQKLMGoc]nNOIs.
16a[lYSiNOIPQK 5: -2>CDstPQK XRhPQKrPQK tXRhPQK >CDLMGLMGPQKa[lPQKr>CDtYSioc]n C y vs. t pa[lot UVPfrob\m 7rCLGZkPKr . ³YSic]nNOI tXRhPQK >CDvPQKr>CDVWQgPQK v>CDa[luPQK oUVPf tXRhPQK >CDLMGLMGPQKa[lPQKr>CDtYSioc]n ovPQKr >CD rPQKVWQgYSioc]n wXRhPQKrPQK YSit YSis rPQKa[l>CDtYSivPQKa[ly LMGoc]nst>CDc]nt, >CDc]nNOI >CDa[lso VWQgYSivPQK tXRhPQK st>CDc]nNOI>CDrNOI NOIPQKvYSi>CDtYSioc]n. ¶ob\mp>CDrPQK your rPQKsua[lts wYSitXRh tXRhPQK PQKxpPQKLMGtPQKNOI tXRhPQKorPQKtYSiLMG>CDa[l v>CDa[luPQK UVPfor C y . &+ur PQKxpPQKLMGtPQKNOI v>CDa[luPQK w>CDs -9.8 b\m/s^2, >CDc]nNOI our oFKLsPQKrvPQKNOI v>CDa[luPQK w>CDs -12.4 b\m/s^2. 27XRhPQK b\m>CDVWQgc]nYSituNOIPQK YSis a[l>CDrVWQgPQKr FKLPQKLMG>CDusPQK tXRhPQK UVPforLMGPQK oUVPf tXRhPQK tXRhrow w>CDs c]not t>CD`ZkPQKc]n YSic]nto LMGoc]nsYSiNOIPQKr>CDtYSioc]n.
16a[lYSiNOIPQK 6: -2PQKrUVPforb\m tXRhPQK rua[lPQKr NOIrop PQKxpPQKrYSib\mPQKc]nt ovPQKr 10 NOIYSiUVPfUVPfPQKrPQKc]nt trYSi>CDa[ls, >CDc]nNOI p>CDstPQK XRhPQKrPQK >CD t>CDFKLa[lPQK oUVPf your rPQKsua[lts >CDc]nNOI tXRhosPQK oUVPf your a[l>CDFKL p>CDrtc]nPQKrs, sXRhowYSic]nVWQg FKLotXRh tXRhPQK NOIYSist>CDc]nLMGPQKs >CDc]nNOI tXRhPQK LMGob\mputPQKNOI rPQK>CDLMGtYSioc]n tYSib\mPQKs. ³YSic]nNOI tXRhPQK >CDvPQKr>CDVWQgPQK rPQK>CDLMGtYSioc]n tYSib\mPQKs, >CDc]nNOI tXRhPQK st>CDc]nNOI>CDrNOI NOIPQKvYSi>CDtYSioc]ns UVPfor PQK>CDLMGXRh. 9>XRho XRh>CDNOI tXRhPQK UVPf>CDstPQKst rPQK>CDLMGtYSioc]ns? °yrub\m XRh>CDNOI tXRhPQK UVPf>CDstPQKst rPQK>CDLMGtYSioc]n tYSib\mPQK oc]n >CDvPQKr>CDVWQgPQK, FKLut tXRhPQK st>CDc]nNOI>CDrNOI NOIPQKvYSi>CDtYSioc]n w>CDs UVPf>CDr wYSiNOIPQKr tXRh>CDc]n ±YSisXRhw>CDry>CD, wXRho XRh>CDNOI >CD sYSib\mYSia[l>CDr rPQK>CDLMGtYSioc]n tYSib\mPQK.
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16a[lYSiNOIPQK 7: 9>rYSitPQK >CD tXRhouVWQgXRhtUVPfua[l LMGoc]nLMGa[lusYSioc]n oc]n tXRhPQK rPQKsua[lts oUVPf your PQKxpPQKrYSib\mPQKc]nts. 16ub\mb\m>CDrYSizPQK your b\m>CDYSic]n rPQKsua[lts. ´YSiNOI tXRhPQKy >CDVWQgrPQKPQK wYSitXRh wXRh>CDt w>CDs PQKxpPQKLMGtPQKNOI tXRhPQKorPQKtYSiLMG>CDa[la[ly? 9>XRh>CDt proFKLa[lPQKb\ms >CDUVPfUVPfPQKLMGtPQKNOI tXRhPQK b\mPQK>CDsurPQKb\mPQKc]nts, >CDc]nNOI XRhow LMGoua[lNOI tXRhPQK b\mPQK>CDsurPQKb\mPQKc]nts FKLPQK LMG>CDrrYSiPQKNOI out b\morPQK >CDLMGLMGur>CDtPQKa[ly? 9>PQK UVPfouc]nNOI tXRh>CDt >CD FKL>CDa[la[l tXRhrowc]n str>CDYSiVWQgXRht up YSic]n tXRhPQK >CDYSir sXRhowPQKNOI >CD p>CDr>CDFKLoa[lYSiLMG LMGurvPQK oUVPf posYSitYSioc]n vs tYSib\mPQK, >CD NOIowc]nw>CDrNOI a[lYSic]nPQK>CDr a[lYSic]nPQK oUVPf vPQKa[loLMGYSity vs tYSib\mPQK, >CDc]nNOI >CD rPQKa[l>CDtYSivPQKa[ly LMGoc]nst>CDc]nt >CDLMGLMGPQKa[lPQKr>CDtYSioc]n. ·c]n VWQgPQKc]nPQKr>CDa[l, our PQKxpPQKrYSib\mPQKc]nt rPQKsua[lts UVPfor tXRhPQK UVPfYSirst PQKxpPQKrYSib\mPQKc]nt b\m>CDtLMGXRhPQKNOI wXRh>CDt wPQK PQKxpPQKLMGtPQKNOI tXRhPQKorPQKtYSiLMG>CDa[la[ly, >CDa[ltXRhouVWQgXRh tXRhPQK FKL>CDa[la[l rPQK>CDLMGXRhPQKNOI >CD b\muLMGXRh XRhYSiVWQgXRhPQKr b\m>CDxYSib\mub\m XRhPQKYSiVWQgXRht tXRh>CDt wPQK XRh>CDNOI PQKxpPQKLMGtPQKNOI. 27XRhYSis YSis a[lYSi`ZkPQKa[ly FKLPQKLMG>CDusPQK tXRhPQK `ZkYSic]nPQKb\m>CDtYSiLMGs PQKqu>CDtYSioc]n UVPfor UVPfrPQKPQK UVPf>CDa[la[l NOIoPQKsc]n’t t>CD`ZkPQK YSic]nto >CDLMGLMGouc]nt tXRhPQK >CDLMGLMGPQKa[lPQKr>CDtYSioc]n oUVPf tXRhPQK upw>CDrNOI b\motYSioc]n oUVPf tXRhPQK tXRhrow. ·c]n tXRhPQK UVPfuturPQK, wPQK LMGoua[lNOI pPQKrXRh>CDps ovPQKrPQKstYSib\m>CDtPQK tXRhPQK YSic]nYSitYSi>CDa[l vPQKa[loLMGYSity YSic]n orNOIPQKr to FKLPQKttPQKr NOIPQKtPQKrb\mYSic]nPQK tXRhPQK b\m>CDxYSib\mub\m XRhPQKYSiVWQgXRht. ³or tXRhPQK sPQKLMGoc]nNOI PQKxpPQKrYSib\mPQKc]nt, wPQK UVPfouc]nNOI tXRh>CDt >CDa[la[l oUVPf our rPQK>CDLMGtYSioc]n tYSib\mPQKs wPQKrPQK rPQKa[l>CDtYSivPQKa[ly sYSib\mYSia[l>CDr, >CDc]nNOI tXRh>CDt >CDvPQKr>CDVWQgPQK rPQK>CDLMGtYSioc]n tYSib\mPQK w>CDs YSic]nvPQKrsPQKa[ly proportYSioc]n>CDa[l to tXRhPQK st>CDc]nNOI>CDrNOI NOIPQKvYSi>CDtYSioc]n oUVPf rPQK>CDLMGtYSioc]n tYSib\mPQK (PQK.VWQg. tXRhPQK pPQKrsoc]n wYSitXRh tXRhPQK a[lowPQKst >CDvPQKr>CDVWQgPQK rPQK>CDLMGtYSioc]n tYSib\mPQK XRh>CDNOI tXRhPQK XRhYSiVWQgXRhPQKst st>CDc]nNOI>CDrNOI NOIPQKvYSi>CDtYSioc]n UVPfor rPQK>CDLMGtYSioc]n tYSib\mPQK). · tXRhYSic]n`Zk tXRhPQK b\mPQK>CDsurPQKb\mPQKc]nts LMGoua[lNOI FKLPQK LMG>CDrrYSiPQKNOI out b\morPQK >CDLMGLMGur>CDtPQKa[ly FKLy >CDa[la[lowYSic]nVWQg sob\mPQK pr>CDLMGtYSiLMGPQK ruc]ns >CDc]nNOI b\m>CD`ZkYSic]nVWQg surPQK tXRhPQK tXRhub\mFKL NOIYSiNOIc]n’t b\movPQK >CDUVPftPQKr tXRhPQK pPQKrsoc]n LMG>CDuVWQgXRht tXRhPQK rua[lPQKr.