Physics Lab 2 copy

Laboratory Manual for Physics 2750 2022-23 MOTION UP AND DOWN THE RAMP: DATA AND ANALYSIS SECTION Before starting the data collection, answer the questions below. 1. Predict (qualitatively) the position vs time graph for the following cases of motion with uniform acceleration: Cart moving down a ramp, Cart moving up the ramp, slowing speeding up u P down vP rJ-.CJwn Cart given an initial velocity up a ramp, comes to a stop then moves down the ramp r t..J p L2 -----+-- rJ19c.vV'"\ 2. Predict (qualitatively) the velocity vs time graph for the following cases of motion with uniform acceleration: Cart moving down a ramp, speeding up " Cart moving up the ramp, slowing down J Cart given an initial velocity up a ramp, comes to a stop then moves down the rampJ Do not change your predictions as you go through the lab. They are not graded for accuracy, but for completion. 3. Place the cart at the top of the ramp, zero the motion detector, push collect and let go of the cart. Look at the position and velocity vs time data collected. What type of motion does the cart have when moving down the ramp? Explain your answer and compare the graphs with the ones you predicted. \ r h~ l)V\\~OfM ~Vl(A:t ~ (Y'\Q't-1 0f\ 'oQ.,(,cu.;$.t,, it SIO()J\'f ClCL~\~""\ tc\ CL<o t\L c.LUtt 'f\r\C?V-f.d ~W V\ 1"\.Q.,, ('CA.,VY\y?, ,~ S~\I\.S fA.>l'e.- ~·1W\1levr to tLQ..,., C9~ !. prQ,Gl{c ,: ~, \-W... {Jo6, DOv\ \IS_ 1,~ 9 v'CA-()h _1:. -p-r~~C-tecl f5 t\\~9e.c\ 0-.V\G\ t~ \JVOv,t-'( \)~ . t,m € .-- 8,a.,ph .t ~fu,l,c:\--uJ \'\Gl~ CA -S\Ope,. 23

x. • \Jo~ h la..cc.)~ i. e,. t- \-- A t t . 1,,. . A ._ o-,cc.,, Laboratory Manual for Physics 2750 2022-23 4. Select the position vs time graph. Fit a curve to the position vs time data, using Analyze: Curve Fit. Write the equation of the curve used to fit the data. x-; o.wso. · + 1 -o.c,::Ho2 -1- \- 0.0 1 .SCi t- 5. Write the physical quantities from the experiment that correspond to every parameter in the equation used for fitting. f\ : \ Cllll \ e,mt, O Vl i : \ V\ \ t \ CA,\ \)-{;\ 0 e,,, \- '-l C :. \ V\, \-, CN\ ~Ob-, t"i Ov\ 6. What is the acceleration of the cart as read from the position vs time graph? Q.\O~C\- z_ :Q, '1-\\~'(V\/'&7.. ''\ 7. Print the fitted position vs time graph (ind4ding the equa , tion for the fitted curve) and attach it at the end of the lab report. Don't forget to label your graph .· ·· · 1 1 8. Select the velocity vs time graph. Fit a line to the position vs time data, using Analyze: Linear Fit. Write the equation of the line used to fit to the d<Jl~ \l = o. i.o~C\ t + -O.C)?G\ 'LJ 9. Write the physical quantities from the experiment that correspond to every parameter in the equation used for fitting. · A ._ o.e,,ve., \{,,V'(A.\- .l O V\ ~:. . 1V'\,\-1CA,\ \Jt Ac'.JC\ t~ 10. What is the acceleration of the cart as read from the velocity vs time graph? Q.Z03C\ m l$ -z, 11. How does the acceleration read from position vs time graph compare to the one read from the velocity vs time graph? If there are differences, where do they come from? 1~ O,,CCt\.~@ :\- \OV\ ~Of' '\'\.At . Q ,e\- <jmo V\ \~ S\ - ,5 vv-\\~ V\ -, YI. Vf \ \f\CW\ fu CA .((9-1 Q .V '(JJ d OV\ ~o v-- \ u__, \J 'G t v"{Af h, tV\Y::> cov\c).. 'oQ., '7'-VL \- 5) \J )V 1/'{'0V" )\/C V\, Cl ,S St()Jft,rt j/ <;\OPP~ c>-Ov\ cA, (O\ l ~G 1 \(?V'\ & oo WvV'W D I/' tO-. \-t Of \(\COfv'tcJl" 7 t \ Q.,G\ -\ V\,~ rlL- c\(,l, \;CA G Y\ ~\t; rovPV\ • 12. Print the fitted velocity vs time graph (including the equation for the fitted line) and attach it at the end of the lab report. Don't forget to label your graph. 24

Laboratory Manual for Physics 2750 2022-23 Conclusions: The conclusions should include the following parts : a) What is the purpose/goal of this lab? b) Summarize important results , methods used to obtain them, and draw conclusions supported by your results. c) Specify one or two interesting things that you learned from this lab . ClJ i\v0 pvt'f.)(7'5-Q.., / 8CJCA,\ of -\1/\ , S \oJo WCA'S to ol.~v15 t rbl,t e, LJV\1fof'W\ Clceh ~0vtA., tec\ mot--1 DVl CLv\C\ Cl,V\C,l l \J Z-l0 ~0&\\-1 0V\ (Wl(A \l~o G,t \f \JS. 'r\M-t- 3t0,pvis. \o J 1 V\e..,, CLlJ/'t- ff ci, Vl£j clc)w n tk~ (CulYl p , p ~' u P w~ fOUV\cl tv-{_; e,,q_uCA., t"t ov'\ O't t~ L;uvvf..,,, f:?A ,\AL ~c?& ,t- 1DV\ \JS. t'1M~ 9"°-PV'\ \o\.j US t vyj 108(}!2/ \Jv"O to ()"UA-, t-e,, CA. bt,b~ t _. ,t- Ll)(\J e.., .(x ;(J.\O&Ci-r-z. -O . Oq6Sz t • O.OmC\4). l,ve,, Q\'50 -tOUV\CA;ilt. CAC~CL, t 101'\ U0 1 V!:9 tvt •S fj ft4)h OvV\C\ VVlu I t1 pl V H1,3 CJ. \OoCf 'o'f l t-o [j0t- 0, Z-\lo Vvtl'& :z._ \~V\, LJ8 mJ '\~ vQ,\CJC.\ t~ vs_ iiVV\ € ,, fj V'CA,f)Vl I W0 l}&l.CA l1~ 7c 9~ rro -\c1 rl\~e,., (}., 'oe.,'t> t _ tit \IV\e,, CJJAcA [jO t \J-:.0, W34r-0.07~ 2.8'. ,h~ CA-G~\~ t ,oV\, ~v- tV\,~ ,s o.zo3q r11ts "2-_ ror- t\L- e,[MI'\ 90, V\3 up tlLV\ cAcJwV), t '--0 PC?\)1tic?Y1 \JS t~ 8 rcvp h 's o.cc.,.e,,,\~ ' v~ ,\-' ,o v\ u&\v'\[J C-\. 'oeb t- {- , t- cu tw__ wt.L,S 0. 3-ttc? Ml~ 2-, TVve,, \J~ \oc,t '-'\ V-& t, M~ 8 f'C.lf)vi'.s U (LQ,,\ t' OV\ tYS ~ , n. 3 0\. \J e.,t> t t I i VI{. W CAS O :~ 4-t) 2 m 1-s 2 . JV\ W Vt c,\ \}~, 0 V\, 1 Cl UA,, \ t 10 vt.S ~(? v" tlL- CJ.))/' 0 O I "'8 o\Clw vi fu.,, {'C.(,WJ y:J wCc> o. 2 \ l ¥' M /~ 2 [~;ti OV\ vs ti >t.e.) o.,""'o. O, Z-03C\ Mt-s L \J e.,\c?Llty --.ts f1 h.e... .J , wh , LL, tLL cu:ue,,\ € ,,V'CA,, h~ C9V\ ~Ov" tlL CJAv ' 90 jY'\ct up t\.t. Y\ cl..Own r(L ~() \Nc.t. 0. ?,4- iO vnl s z..- \ ... oo s'f t, o•"- v-& i- 1w0 oun o\ D.~is-z.. 'l'Vl/&7- Lv-e Joot 'i "~· f iv vi i ). G) \ WO -, Vl e..s ti Vl _5' tV\- 1 V\-fj 5 I:- \ -e.D-- 1 fV\rol th~ 'S \ o__,b LJJC>,S V)Q(A) GUv"t C,\·TO V\ C1f Ol.Y\ obJ ~e r cc~- ~~e,ts 1v-. e,, tl rcA.P vi IX,V\,cA 1 t V\O u 8 h 'r l,.,Q_, VV'C? I I cM f; V'\CO dJ,.Jr 8 \}JJfi'Q__ ,Vv~ t,'S t-, Vl{j. 26

eif L "'l9'fP ,o - Untitl ed' o Bil: &ZS .: ~ §· a 1 iA e. e. u eJYz 11 / ,1 w~ @1a ,.,,. 0000 0 0 000 0000 0 000 0000 0 000 0000 0 000 0000 0 000 0000 0 000 0000 0 000 0000 0 000 0000 0 000 0000 0000 0001 0000 0003 0000 0013 000 1 0026 0003 0039 0005 0050 0006 0060 00 11 0070 00 15 0081 00 19 0092 002 4 0108 0030 0119 0036 0130 0043 0141 0050 0152 0056 0168 006 7 0179 00 76 0190 0 086 0 200 0096 0211 0 1 07 0222 0 11 6 0.237 0 131 0 14 3 025-4 0156 0.268 Position 0.997 m P Typeher etosearch 2.0 1.5 i? § J ,.o 0.5 ~!'; J?'~~ t es tl Pos i tion A:0.10 59• 1- 0,0003ij2) B: •O. W6 52• 1 ·0 .001l27 C: 0. 01 5 9< • 1- 0.001021 Co rrtla~on: 1 .0 00 RM S E:000 27 57m Position m) v Time (s) oo .l+- - - ------ -=c,;::=:;::= ------------------------------------1 0 ( M:3 .30 tix. :0.000) ; i~ ':i': [.~ 11 0 ,L atestl Ve locity m(Slop l) 0.2 039 m/s/s ~fa~ ~ ii~:1 :~ ~9 2a nvs Veloci -2 +------------------------------------------------1 0 ( ti. t: 3.37ti.v:0.31) Ti me (s)

p PROJECTILE MOTION: DATA AND ANALYSIS SECTION Laboratory Manual for Physics 2750 2022-23 Part A: Start with analyzing the motion along the x axis. Right click in the graph window and select Graph Options. In the window that shows up, select the second tab at the top, Axes Options. Unselect the Y (m) axis. This leaves only the x vs t graph in your graphs window. 1. Look at the position vs time graph. Fit a curve to the position vs time data, using Analyze: Curve Fit. Write the equation of the fitted line below. 'x :. 3 . I b 2. t +- 0 . 00 l ct 4 ':) 2. What type of motion does the ball have along the x-axis? Explain. UV\ \ -t Ot W\ m[?\iOV\ 3. What is the speed of the ball along the x-axis? <?,. \ b 1-- Wv\S 4. Print the fitted position vs time graph (including the equation for the fitted curve) and attach it at the end of the lab report. Don't forget to label your graph. 5. Change the graph to X Velocity vs. time. Right click in the graph window and select Graph Options. In the window that shows up, select the second tab at the top, Axes Options. Unselect the X (m) axis and select X Velocity (m/s) axis. Use Analyze: Statistics to find the mean value of the horizontal velocity over time, and its standard deviation. Record their values below. 6. Look at the standard deviation: how does the horizontal velocity change over time? Explain your answer. 1Y\~ \JtA OC )t\_f W t,V\ \ tJ.OWV\ -, f\i Y1 CA 1 \\ '{ (~ ~.C\3) I tlt\e,,,~ W € ,V\t LJ~ \-o [}.. m °"~ l ~.2-3C\) ¾ \ ~ _, v\ tlvlfOrP-Q..CA \-o °'- v,A, V\ l ') , 002. '). )1 Cl V\do ve,l d.-lL\J \ '() Q)c p \ CA ) V\- t 1.,-\, 2> b l c., -,l clOQSul 't M{}v\ GV\ T ¼ .,, +- 1 ---t,, r v t t/'Uv()V\ 7. What would you say is the initial speed of the ball along the x-axis? 8. Print the fitted velocity vs time graph (including standard deviation) and attach it at the end ofthe lab report. Don't forget to label your graph. 29

Laboratory Manual for Physics 2750 2022-23 Part B: Analyze now the motion along they axis. Right click in the graph window and select Graph Options . In the window that shows up, select the second tab at the top, Axes Options. Unselect whatever was previously selected and select the Y (m) axis. This leaves only the y~ t graph in your graphs window. If your graph is out of the boundaries of the window, use the Auto Scale tool . 9. Look at they position vs time graph. Fit a curve to the position vs time data, using Analyze : Curve Fit. Write the equation of the fitted curve below . 10. What type of motion does the ball have along the y-axis? Explain. 9f0j u) ,, vL, VV\Or ,o V\ , , \- . V\Ov'S o, cu M{}.. ~ \ \A · [NV\{:A ~o c 'j ~ c'.) WV) (). v-t, \-C9 ~m,V1ty 11. Compare the fitted curve with the equation ·of position vs time. From this comparison , determine: a) the initial speed of the ball along the y-axis: 1,q~Q w lS b) the acceleration of the ' ball along the y axis: l\.~~ VV\l~i. 12. How does your value for the acceleration along the y-axis compare to. the v~lue of the gravitational acceleration? -\1 ':) s \ iB V\1 \'( \~ lf~_Q)/' - ¾ \r\ CAN \ -\\t; Clv\ Vl ('.)\- '\\t, ~ f(tv\) \\ (}vt \Q V\CA-\ G\ C ~~-tv"Cl l100 13. What are some sources of error in your experiment? VI u VV\.CAN \ Ic;'ff'O'{' 0vV t -\-0 ')~\,Q,C,\~f\.j f' I \ OO vvuJ vV\ Qv' tOD \, \ t~ O, 't, ((}.,,~ V\ \-0 W \ \ tc,\- (A()v \-(A 14. Print the fitted posit(on vs time graph (including the equation for the fitted curve) and attach it at the end of the lab report. Don't forget to label your graph. 30

Laboratory Manual for Physics 2750 2022-23 Conclusions: The conclusions should include the following parts· a) What is the purpose/goal of this lab? · b) Summarize important results m th d d . results. ' e O s use to obtain them, and draw conclusions supported by your c) Specify one or two interesting things that you learned from this lab. 0-) \~ ~vf-~ Q_, ['(j O Ov \ of- -tW':) \Wo WC A.,':) '\- 0 S W)W \) f Oj tC :h \t, MDh ov\ of CAN\ obS ecx u':> 1 v'\B CA., \J1 e,v9. 'o') US1V\,9 \(6BQ,,lfv ro I wi -t' O UV'. O.. rk equ~.fic?VlS, $~ e,,e J$ , ~e,l ()J:,l,e,\,v/' 0',\- l O v'l S ~Of' -\'\A., V.: \1$ r- 1 ?'I \J& t, \Jx \J$1"', \l 'i \JS t- ca fC.L P V\S . \:-o t ? X \JS t vJ~ fo u V\cl \- \1., -e,, °" vDvn OV\ l\-'> x:3 , \ 6 2- t-0 -00 I q +S C} 1 !\CA t~ $~U~ VJCl!:> :l . \6 i Ml<:> , tt)v' \~ \lie. \J~ \- f(,l,pY'\ , t v--.L W\W\J{\ Y\ (;)y'\ Wt'\ \- ev\ \J-t\00 "t'\ 1- ~ tCVACALul'G\ olul,cu-, t)V\ 'i S '6 .\ o \ t- D. Obt16'2.- CVAOv t-lt, W'\ T t-WJ ~p -e.,(UA i S S . \qi ri1, J<:, . tOY' 9 'l % \- r\.L £Lt v evti- o V\ , > ::. -+. q ci o ir-1.. 1- 4-.Cb 7 7 r t- O . o CJ-4- z..o 6 . 1w.., -, VL 1 \- 1 w\ V ¾ (A,i> 4-,q qo MlS QAMCA \'\k, o.a,.e, ~ro V\ r -s q ,q M I'S 2,, I (' tlv b \ D ~-{_, 0 f- -+- lt,, \J \J b t" 9 ('~ V\ I rt - W00 -0,100 M[ ~ Z ,(MA.Clt\.t., iV\ 1\- 1 tv \ S~ 1 >+ . 14-lt twlS . Tl,-J_, -,V\i \-irA .A ~\C? vtt\.{ i> ;.l02.- wi, lS Ovvw\ 4,l+tl . l)S r1:9 \-l!vlS I l" lt, WV-'cJ' VvirU C\t, \) S . Z, \ ? V\'\ IS , 1 lL CWVe} 1-Q,, lf -- lA) Cl,~ t\t\rowvi iS ~ i.0 o C\ C, . 1- V\ c.,c?A0\u~1on , '2> l{)CU' uJ i vi 3 tk 0 YV--P h<.:> b '-/ t-t.t_ K CvAcA, Y Cl X Is \/ 1 t[ cts CU- t-~~ t- Y'~olJ ~t S> vJWAI\, V\,CL~ t\0 b Cl.,lV'-l \ rvth(j C Vii·. i vVI H ev \ ~c\.). c, ') J:- \OUV\Ov I \- I V\ t \h9 t~CAk w~ LOU \ <A VS~ C1 v ,rAtQ i V\ \CJ8~U' fro ·\-0 ~T WA C,t V0 (A.. v\..V\Ct \- ~ ~~ CA J l' C \ ,,f1Vl9' t\u 8([,C() ~S fn,to 4- i vt 5V'f1~ D f z. COv V\ V\,~ cl1 ~fu-v1vt fe,2) u l t- s. 32

0 g >- -1 -2 00 Auto Fit for: VideoAnalysis I Y Y = A"t'2+Bt+C A: -4.990 +/ - 0.02319 B: 4.577 +/- 0.03131 C: 0.004206 +/- 0.008774 Correlation: 0.9999 RMSE: 0.01255 m I 0.5 Y- Pos tion vs Ti me • 1.0 Time (s)

-5 0.0 Linear Fit for: VideoAnalysls I Y Velocity Vy= mt+b m (Slope): -9.306 m/s/s b (Y-lntercept): 4.149 mis Correlation: -0.9984 RMSE: 0.2319 m/s 0. 5 Y-Velocity vs Time 1 0 nme (s)

I Z: ·u 0 >< 3. 20 3.15 3. 10 3. 05 Statistics for : VideoAnalysls I X Veloc i ty min : 3.002 at 1.302 ma x: 3.239 at 1.002 mean : 3.151 median: 3.172 std . dev : 0.06552 samples : 14 fly : 0.236 X- Ve l ocity VS Time & 3. 00 +- ---..----...---~----.-----,---~---...----.----~---.----~----,--- -j' ----\ 0.0 :o. 482 , 3. 00101 0.5 1.0 ..Jime(s)