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10 Konstanta waktu(λ) 0.5 Massa (m) 2 t λt -λt 1 0.5 -0.5 2 1 -1 3 1.5 -1.5 4 2 -2 5 2.5 -2.5 6 3 -3 7 3.5 -3.5 8 4 -4 9 4.5 -4.5 10 5 -5 11 5.5 -5.5 12 6 -6 13 6.5 -6.5 14 7 -7 15 7.5 -7.5 16 8 -8 17 8.5 -8.5 18 9 -9 19 9.5 -9.5 20 10 -10 21 10.5 -10.5 22 11 -11 23 11.5 -11.5 24 12 -12 25 12.5 -12.5 26 13 -13 27 13.5 -13.5 28 14 -14 29 14.5 -14.5 30 15 -15 31 15.5 -15.5 32 16 -16 33 16.5 -16.5 34 17 -17 35 17.5 -17.5 36 18 -18 37 18.5 -18.5 38 19 -19 39 19.5 -19.5 40 20 -20 41 20.5 -20.5 Gaya awal F0

mekanika

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Page 1: mekanika

10

Konstanta waktu(λ) 0.5Massa (m) 2

t λt -λt1 0.5 -0.5 0.60653065971263300000002 1 -1 0.36787944117144200000003 1.5 -1.5 0.22313016014843000000004 2 -2 0.13533528323661300000005 2.5 -2.5 0.08208499862389880000006 3 -3 0.04978706836786390000007 3.5 -3.5 0.03019738342231850000008 4 -4 0.01831563888873420000009 4.5 -4.5 0.0111089965382423000000

10 5 -5 0.006737946999085470000011 5.5 -5.5 0.004086771438464070000012 6 -6 0.002478752176666360000013 6.5 -6.5 0.001503439192977570000014 7 -7 0.000911881965554516000015 7.5 -7.5 0.000553084370147834000016 8 -8 0.000335462627902512000017 8.5 -8.5 0.000203468369010644000018 9 -9 0.000123409804086680000019 9.5 -9.5 0.000074851829887700600020 10 -10 0.000045399929762484900021 10.5 -10.5 0.000027536449349747200022 11 -11 0.000016701700790245700023 11.5 -11.5 0.000010130093598630700024 12 -12 0.000006144212353328210025 12.5 -12.5 0.000003726653172078670026 13 -13 0.000002260329406981050027 13.5 -13.5 0.000001370959086384080028 14 -14 0.000000831528719103570029 14.5 -14.5 0.000000504347662567890030 15 -15 0.000000305902320501830031 15.5 -15.5 0.000000185539136261600032 16 -16 0.000000112535174719260033 16.5 -16.5 0.000000068256033763350034 17 -17 0.000000041399377187850035 17.5 -17.5 0.000000025109991557440036 18 -18 0.000000015229979744710037 18.5 -18.5 0.000000009237449661970038 19 -19 0.000000005602796437540039 19.5 -19.5 0.000000003398267819500040 20 -20 0.000000002061153622440041 20.5 -20.5 0.0000000012501528663900

Gaya awal F0 F0/mλ

F0/mλ2

e-λt

Page 2: mekanika

42 21 -21 0.000000000758256042790043 21.5 -21.5 0.000000000459905537870044 22 -22 0.000000000278946809290045 22.5 -22.5 0.000000000169189792260046 23 -23 0.000000000102618796320047 23.5 -23.5 0.000000000062241446230048 24 -24 0.000000000037751345440049 24.5 -24.5 0.000000000022897348460050 25 -25 0.000000000013887943860051 25.5 -25.5 0.000000000008423463750052 26 -26 0.000000000005109089030053 26.5 -26.5 0.000000000003098819140054 27 -27 0.000000000001879528820055 27.5 -27.5 0.000000000001139991850056 28 -28 0.000000000000691440010057 28.5 -28.5 0.000000000000419379570058 29 -29 0.000000000000254366560059 29.5 -29.5 0.000000000000154281120060 30 -30 0.000000000000093576230061 30.5 -30.5 0.000000000000056756850062 31 -31 0.000000000000034424770063 31.5 -31.5 0.000000000000020879680064 32 -32 0.000000000000012664170065 32.5 -32.5 0.000000000000007681200066 33 -33 0.000000000000004658890067 33.5 -33.5 0.000000000000002825760068 34 -34 0.000000000000001713910069 34.5 -34.5 0.000000000000001039540070 35 -35 0.000000000000000630510071 35.5 -35.5 0.000000000000000382420072 36 -36 0.000000000000000231950073 36.5 -36.5 0.000000000000000140690074 37 -37 0.000000000000000085330075 37.5 -37.5 0.000000000000000051760076 38 -38 0.000000000000000031390077 38.5 -38.5 0.000000000000000019040078 39 -39 0.000000000000000011550079 39.5 -39.5 0.000000000000000007000080 40 -40 0.000000000000000004250081 40.5 -40.5 0.000000000000000002580082 41 -41 0.000000000000000001560083 41.5 -41.5 0.000000000000000000950084 42 -42 0.000000000000000000570085 42.5 -42.5 0.000000000000000000350086 43 -43 0.000000000000000000210087 43.5 -43.5 0.000000000000000000130088 44 -44 0.000000000000000000080089 44.5 -44.5 0.0000000000000000000500

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90 45 -45 0.000000000000000000030091 45.5 -45.5 0.000000000000000000020092 46 -46 0.000000000000000000010093 46.5 -46.5 0.000000000000000000010094 47 -47 0.000000000000000000000095 47.5 -47.5 0.000000000000000000000096 48 -48 0.000000000000000000000097 48.5 -48.5 0.000000000000000000000098 49 -49 0.000000000000000000000099 49.5 -49.5 0.0000000000000000000000

100 50 -50 0.0000000000000000000000

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20

x6.0653065971263300000000 3.93469 2.130613.6787944117144200000000 6.32121 7.357592.2313016014843000000000 7.76870 14.462601.3533528323661300000000 8.64665 22.706710.8208499862389880000000 9.17915 31.641700.4978706836786390000000 9.50213 40.995740.3019738342231850000000 9.69803 50.603950.1831563888873420000000 9.81684 60.366310.1110899653824230000000 9.88891 70.222180.0673794699908547000000 9.93262 80.134760.0408677143846407000000 9.95913 90.081740.0247875217666636000000 9.97521 100.049580.0150343919297757000000 9.98497 110.030070.0091188196555451600000 9.99088 120.018240.0055308437014783400000 9.99447 130.011060.0033546262790251200000 9.99665 140.006710.0020346836901064400000 9.99797 150.004070.0012340980408668000000 9.99877 160.002470.0007485182988770060000 9.99925 170.001500.0004539992976248490000 9.99955 180.000910.0002753644934974720000 9.99972 190.000550.0001670170079024570000 9.99983 200.000330.0001013009359863070000 9.99990 210.000200.0000614421235332821000 9.99994 220.000120.0000372665317207867000 9.99996 230.000070.0000226032940698105000 9.99998 240.000050.0000137095908638408000 9.99999 250.000030.0000083152871910356800 9.99999 260.000020.0000050434766256788800 9.99999 270.000010.0000030590232050182600 10.00000 280.000010.0000018553913626159800 10.00000 290.000000.0000011253517471925900 10.00000 300.000000.0000006825603376334900 10.00000 310.000000.0000004139937718785200 10.00000 320.000000.0000002510999155744000 10.00000 330.000000.0000001522997974471300 10.00000 340.000000.0000000923744966197100 10.00000 350.000000.0000000560279643753700 10.00000 360.000000.0000000339826781949500 10.00000 370.000000.0000000206115362243900 10.00000 380.000000.0000000125015286638700 10.00000 390.00000

F=F0e-λt v= (F0/mλ)(1-e-λt) x= (F0/mλ)t- F0/mλ2)(1-e-λt )

F=F0e-λt v= (F0/mλ)(1-e-λt)

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0.0000000075825604279100 10.00000 400.000000.0000000045990553786500 10.00000 410.000000.0000000027894680928700 10.00000 420.000000.0000000016918979226200 10.00000 430.000000.0000000010261879631700 10.00000 440.000000.0000000006224144622900 10.00000 450.000000.0000000003775134544300 10.00000 460.000000.0000000002289734845600 10.00000 470.000000.0000000001388794386500 10.00000 480.000000.0000000000842346375400 10.00000 490.000000.0000000000510908902800 10.00000 500.000000.0000000000309881913900 10.00000 510.000000.0000000000187952881700 10.00000 520.000000.0000000000113999185300 10.00000 530.000000.0000000000069144001100 10.00000 540.000000.0000000000041937956600 10.00000 550.000000.0000000000025436656500 10.00000 560.000000.0000000000015428112000 10.00000 570.000000.0000000000009357623000 10.00000 580.000000.0000000000005675685200 10.00000 590.000000.0000000000003442477100 10.00000 600.000000.0000000000002087967900 10.00000 610.000000.0000000000001266416600 10.00000 620.000000.0000000000000768120500 10.00000 630.000000.0000000000000465888600 10.00000 640.000000.0000000000000282575700 10.00000 650.000000.0000000000000171390800 10.00000 660.000000.0000000000000103953800 10.00000 670.000000.0000000000000063051200 10.00000 680.000000.0000000000000038242500 10.00000 690.000000.0000000000000023195200 10.00000 700.000000.0000000000000014068600 10.00000 710.000000.0000000000000008533000 10.00000 720.000000.0000000000000005175600 10.00000 730.000000.0000000000000003139100 10.00000 740.000000.0000000000000001904000 10.00000 750.000000.0000000000000001154800 10.00000 760.000000.0000000000000000700400 10.00000 770.000000.0000000000000000424800 10.00000 780.000000.0000000000000000257700 10.00000 790.000000.0000000000000000156300 10.00000 800.000000.0000000000000000094800 10.00000 810.000000.0000000000000000057500 10.00000 820.000000.0000000000000000034900 10.00000 830.000000.0000000000000000021200 10.00000 840.000000.0000000000000000012800 10.00000 850.000000.0000000000000000007800 10.00000 860.000000.0000000000000000004700 10.00000 870.00000

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0.0000000000000000002900 10.00000 880.000000.0000000000000000001700 10.00000 890.000000.0000000000000000001100 10.00000 900.000000.0000000000000000000600 10.00000 910.000000.0000000000000000000400 10.00000 920.000000.0000000000000000000200 10.00000 930.000000.0000000000000000000100 10.00000 940.000000.0000000000000000000100 10.00000 950.000000.0000000000000000000100 10.00000 960.000000.0000000000000000000000 10.00000 970.000000.0000000000000000000000 10.00000 980.00000

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)(1-e-λt )