Fizyka (wykresy)


Overview

Energia Kinetyczna od Czasu
Energia Potencjalna od Czasu
Energia Kinetyczna od Wychyleni
Energia Potencjalna od Wychylen
Energia Całkowita od Wychylenia
Energia Całkowita od Czasu


Sheet 1: Energia Kinetyczna od Czasu

k 1.40
cos^2(ω*t) 0
ω 0.93546




m 1.60










A 3.60


























t Ek (t)
0.00 9.072
0.05 9.05216753178145
0.10 8.99284355163889
0.15 8.89454681660526
0.20 8.7581368799758
0.25 8.58480657496606
0.30 8.37607158401229
0.35 8.13375718492499
0.40 7.85998228979356
0.45 7.55714091621357
0.50 7.22788125286085
0.55 6.8750825024731
0.60 6.50182970473487
0.65 6.11138675922671
0.70 5.70716788433836
0.75 5.29270776172305
0.80 4.87163062736387
0.85 4.44761857953451
0.90 4.02437938078474
0.95 3.60561403550522
1.00 3.19498442658894
1.05 2.79608129418952
1.10 2.41239283658545
1.15 2.04727420771907










1.20 1.70391817813845










1.25 1.38532721589662










1.30 1.09428723154623










1.35 0.833343216815637










1.40 0.604776989993641










1.45 0.410587242627537










1.50 0.252472062015831










1.55 0.131814082327107










1.60 0.049668394190769










1.65 0.006753318483916










1.70 0.003444124992724










1.75 0.03976975087537










1.80 0.115412547621784










1.85 0.229711058722958










1.90 0.38166580376053










1.95 0.569948018337845










2.00 0.792911273426366










2.05 1.04860587252237










2.10 1.33479590071835










2.15 1.64897877660395










2.20 1.98840713602539










2.25 2.35011285634126










2.30 2.73093301109538










2.35 3.12753752814659










2.40 3.53645830939975










2.45 3.95411955750122










2.50 4.37686904430764










2.55 4.80101004770196










2.60 5.22283367748577










2.65 5.63865130767516










2.70 6.04482683159664










2.75 6.43780845772935










2.80 6.81415976825549










2.85 7.17058976872842










2.90 7.50398166608971










2.95 7.81142012338665










3.00 8.09021675286195










3.05 8.33793362449204










3.10 8.55240458440398










3.15 8.73175419675286










3.20 8.87441414342277










3.25 8.97913693814455










3.30 9.04500683510779










3.35 9.07144783667663










3.40 9.0582287301865










3.45 9.00546510977731










3.50 8.91361836558348










3.55 8.78349164911966










3.60 8.61622285014273










3.65 8.41327464640389










3.70 8.17642171330024










3.75 7.90773520527105










3.80 7.6095646446405










3.85 7.28451737627957










3.90 6.93543576774528










3.95 6.56537235426997










4.00 6.17756314594472










4.05 5.77539933051159










4.10 5.36239761920877










4.15 4.94216949497876










4.20 4.51838963194782










4.25 4.09476376233167










4.30 3.6749962717545










4.35 3.26275780634333










4.40 2.86165317485641










4.45 2.47518982652491










4.50 2.10674718025245










4.55 1.7595470733726










4.60 1.43662558837443










4.65 1.14080650395646










4.70 0.874676602565885










4.75 0.64056305034525










4.80 0.440513047287479










4.85 0.276275925547673










4.90 0.149287852452637










4.95 0.060659271972304










5.00 0.011165194470707










5.05 0.001238419647606










5.10 0.030965751932538










5.15 0.100087241425699










5.20 0.207998457023206










5.25 0.353755771849509










5.30 0.536084614778541










5.35 0.753390615888471










5.40 1.00377354838887










5.45 1.28504394510543










5.50 1.59474224421996










5.55 1.93016029684598










5.60 2.28836504836769










5.65 2.66622418646134










5.70 3.0604335315205










5.75 3.46754592997053










5.80 3.88400139781511










5.85 4.30615825082562










5.90 4.73032494915617










5.95 5.15279237791959










6.00 5.56986628144822










6.05 5.97789956761836










6.10 6.37332419975449










6.15 6.75268239723507










6.20 7.11265687196707










6.25 7.4500998363272










6.30 7.76206052891061










6.35 8.04581101738876










6.40 8.29887005284422










6.45 8.51902476698858










6.50 8.70435002253287










6.55 8.85322524750147










6.60 8.96434860628252










6.65 9.03674838349622










6.70 9.06979148113525










6.75 9.06318895467413










6.80 9.01699853973729










6.85 8.93162414723138










6.90 8.80781233135656










6.95 8.64664576138245










7.00 8.44953375427416










7.05 8.21819995095606










7.10 7.95466724397761










7.15 7.661240088381










7.20 7.34048435045278










7.25 6.99520487057139










7.30 6.62842093635203










7.35 6.24333988056301










7.40 5.843329034686










7.45 5.43188628337179










7.50 5.01260947727698










7.55 4.58916497175063










7.60 4.16525556648327










7.65 3.7445881264694










7.70 3.33084116742096










7.75 2.92763268908037










7.80 2.53848853771402










7.85 2.16681157443937










7.90 1.81585191899261










7.95 1.48867852913947










8.00 1.18815236425218










8.05 0.916901367723121










8.10 0.677297486980853










8.15 0.471435932056158










8.20 0.301116854071393










8.25 0.167829603864787










8.30 0.072739708400044










8.35 0.016678678845468










8.40 0.000136739445738










8.45 0.023258540768499










8.50 0.085841894811156










8.55 0.187339543028709










8.60 0.326863941822153










8.65 0.503195023640891










8.70 0.714790865832293










8.75 0.95980117394513










8.80 1.2360834615822










8.85 1.54122178531802










8.90 1.87254787085469










8.95 2.22716444567833










9.00 2.60197057418493










9.05 2.99368877373264










9.10 3.39889367450522










9.15 3.81404197257125










9.20 4.23550341421489










9.25 4.65959254059726










9.30 5.08260091515712










9.35 5.50082955194002










9.40 5.91062126128681










9.45 6.30839263003525










9.50 6.69066535658532










9.55 7.05409666681876










9.60 7.39550854490233










9.65 7.71191552336622










9.70 8.0005507894483










9.75 8.25889037941783










9.80 8.48467524931199










9.85 8.67593102908828










9.90 8.83098528745303










9.95 8.94848215639426










10.00 9.02739418753497










10.05 9.06703133662927










10.10 9.06704699763675










10.15 9.02744103361011










10.20 8.94855977789275










10.25 8.83109300561565










10.30 8.67606790197631










10.35 8.48484008004395










10.40 8.25908172663558










10.45 8.00076697992098










10.50 7.71215466662173










10.55 7.39576854975857










10.60 7.0543752596699










10.65 6.69096010128325










10.70 6.30870094919251










10.75 5.91094045881434










10.80 5.50115683662318










10.85 5.08293342506335










10.90 4.65992736810214










10.95 4.23583763142788










11.00 3.81437265693837










11.05 3.3992179343655










11.10 2.99400377360399










11.15 2.60227355955899










11.20 2.22745276710723










11.25 1.872819007119










11.30 1.54147336547362










11.35 1.23631328569282










11.40 0.960007232319689










11.45 0.714971356598593










11.50 0.503348368502001










11.55 0.326988799857864










11.60 0.1874348224211










11.65 0.085906762392011










11.70 0.023292429304911










11.75 0.000139352600259










11.80 0.016649993767437










11.85 0.072679975925396










11.90 0.167739346322623










11.95 0.300996860716489










12.00 0.471287252167358










12.05 0.677121420685647










12.10 0.916699454628749










12.15 1.18792636998254










12.20 1.48843042989571










12.25 1.81558388427224










12.30 2.16652594806518










12.35 2.53818781733855










12.40 2.92731950434528










12.45 3.33051825696219










12.50 3.74425831396924










12.55 4.16492173597873










12.60 4.58883004241402










12.65 5.0122763778894










12.70 5.43155792671231










12.75 5.84300829206107










12.80 6.24302955669835










12.85 6.62812374486676










12.90 6.99492341024889










12.95 7.34022108251565










13.00 7.66099731496904










13.05 7.95444708801672










13.10 8.21800433759442










13.15 8.44936439404785










13.20 8.64650413525764










13.25 8.8076996777793










13.30 8.93154145129799










13.35 9.01694652458027










13.40 9.06316807513868











Sheet 2: Energia Potencjalna od Czasu


k 1.40

ω 0.93546








m 1.60












A 3.60


























































t Ep












0.00 0.00












0.05 0.02



0.10 0.08


0.15 0.18


0.20 0.31


0.25 0.49


0.30 0.70


0.35 0.94


0.40 1.21


0.45 1.51


0.50 1.84


0.55 2.20


0.60 2.57


0.65 2.96


0.70 3.36


0.75 3.78


0.80 4.20


0.85 4.62


0.90 5.05


0.95 5.47


1.00 5.88


1.05 6.28


1.10 6.66


1.15 7.02


1.20 7.37


1.25 7.69


1.30 7.98












1.35 8.24












1.40 8.47












1.45 8.66












1.50 8.82












1.55 8.94












1.60 9.02












1.65 9.07












1.70 9.07












1.75 9.03












1.80 8.96












1.85 8.84












1.90 8.69










1.50
1.95 8.50










1.55
2.00 8.28










1.60
2.05 8.02










1.65
2.10 7.74










1.70
2.15 7.42










1.75
2.20 7.08










1.80
2.25 6.72










1.85
2.30 6.34










1.90
2.35 5.94










1.95
2.40 5.54










2.00
2.45 5.12










2.05
2.50 4.70










2.10
2.55 4.27










2.15
2.60 3.85










2.20
2.65 3.43










2.25
2.70 3.03










2.30
2.75 2.63










2.35
2.80 2.26










2.40
2.85 1.90










2.45
2.90 1.57










2.50
2.95 1.26










2.55
3.00 0.98










2.60
3.05 0.73










2.65
3.10 0.52










2.70
3.15 0.34










2.75
3.20 0.20










2.80
3.25 0.09










2.85
3.30 0.03










2.90
3.35 0.00










2.95
3.40 0.01










3.00
3.45 0.07










3.05
3.50 0.16










3.10
3.55 0.29










3.15
3.60 0.46










3.20
3.65 0.66










3.25
3.70 0.90










3.30
3.75 1.16










3.35
3.80 1.46










3.40
3.85 1.79










3.45
3.90 2.14










3.50
3.95 2.51










3.55
4.00 2.89










3.60
4.05 3.30










3.65
4.10 3.71










3.70
4.15 4.13










3.75
4.20 4.55










3.80
4.25 4.98










3.85
4.30 5.40










3.90
4.35 5.81










3.95
4.40 6.21










4.00
4.45 6.60










4.05
4.50 6.97










4.10
4.55 7.31










4.15
4.60 7.64










4.20
4.65 7.93










4.25
4.70 8.20










4.30
4.75 8.43










4.35
4.80 8.63










4.40
4.85 8.80










4.45
4.90 8.92










4.50
4.95 9.01










4.55
5.00 9.06










4.60
5.05 9.07










4.65
5.10 9.04










4.70
5.15 8.97










4.75
5.20 8.86










4.80
5.25 8.72










4.85
5.30 8.54










4.90
5.35 8.32










4.95
5.40 8.07










5.00
5.45 7.79










5.05
5.50 7.48










5.10
5.55 7.14










5.15
5.60 6.78










5.20
5.65 6.41










5.25
5.70 6.01










5.30
5.75 5.60










5.35
5.80 5.19










5.40
5.85 4.77










5.45
5.90 4.34










5.50
5.95 3.92










5.55
6.00 3.50










5.60
6.05 3.09










5.65
6.10 2.70










5.70
6.15 2.32










5.75
6.20 1.96










5.80
6.25 1.62










5.85
6.30 1.31










5.90
6.35 1.03










5.95
6.40 0.77










6.00
6.45 0.55










6.05
6.50 0.37










6.10
6.55 0.22










6.15
6.60 0.11










6.20
6.65 0.04










6.25
6.70 0.00










6.30
6.75 0.01










6.35
6.80 0.06










6.40
6.85 0.14










6.45
6.90 0.26










6.50
6.95 0.43










6.55
7.00 0.62










6.60
7.05 0.85










6.65
7.10 1.12










6.70
7.15 1.41










6.75
7.20 1.73










6.80
7.25 2.08










6.85
7.30 2.44










6.90
7.35 2.83










6.95
7.40 3.23










7.00
7.45 3.64










7.05
7.50 4.06










7.10
7.55 4.48










7.15
7.60 4.91










7.20
7.65 5.33










7.25
7.70 5.74










7.30
7.75 6.14










7.35
7.80 6.53










7.40
7.85 6.91










7.45
7.90 7.26










7.50
7.95 7.58










7.55
8.00 7.88










7.60
8.05 8.16










7.65
8.10 8.39










7.70
8.15 8.60










7.75
8.20 8.77










7.80
8.25 8.90










7.85
8.30 9.00










7.90
8.35 9.06










7.95
8.40 9.07










8.00
8.45 9.05










8.05
8.50 8.99










8.10
8.55 8.88










8.15
8.60 8.75










8.20
8.65 8.57










8.25
8.70 8.36










8.30
8.75 8.11










8.35
8.80 7.84










8.40
8.85 7.53










8.45
8.90 7.20










8.50
8.95 6.84










8.55
9.00 6.47










8.60
9.05 6.08










8.65
9.10 5.67










8.70
9.15 5.26










8.75
9.20 4.84










8.80
9.25 4.41










8.85
9.30 3.99










8.90
9.35 3.57










8.95
9.40 3.16










9.00
9.45 2.76










9.05
9.50 2.38










9.10
9.55 2.02










9.15
9.60 1.68










9.20
9.65 1.36










9.25
9.70 1.07










9.30
9.75 0.81










9.35
9.80 0.59










9.40
9.85 0.40










9.45
9.90 0.24










9.50
9.95 0.12










9.55
10.00 0.04










9.60
10.05 0.00










9.65
10.10 0.00










9.70
10.15 0.04










9.75
10.20 0.12










9.80
10.25 0.24










9.85
10.30 0.40










9.90
10.35 0.59










9.95
10.40 0.81










10.00
10.45 1.07










10.05
10.50 1.36










10.10
10.55 1.68










10.15
10.60 2.02










10.20
10.65 2.38










10.25
10.70 2.76










10.30
10.75 3.16










10.35
10.80 3.57










10.40
10.85 3.99










10.45
10.90 4.41










10.50
10.95 4.84










10.55
11.00 5.26










10.60
11.05 5.67










10.65
11.10 6.08










10.70
11.15 6.47










10.75
11.20 6.84










10.80
11.25 7.20










10.85
11.30 7.53










10.90
11.35 7.84










10.95
11.40 8.11










11.00
11.45 8.36










11.05
11.50 8.57










11.10
11.55 8.75










11.15
11.60 8.88










11.20
11.65 8.99










11.25
11.70 9.05










11.30
11.75 9.07










11.35
11.80 9.06










11.40
11.85 9.00










11.45
11.90 8.90










11.50
11.95 8.77










11.55
12.00 8.60










11.60
12.05 8.39










11.65
12.10 8.16










11.70
12.15 7.88










11.75
12.20 7.58










11.80
12.25 7.26










11.85
12.30 6.91










11.90
12.35 6.53










11.95
12.40 6.14










12.00
12.45 5.74










12.05
12.50 5.33










12.10
12.55 4.91










12.15
12.60 4.48










12.20
12.65 4.06










12.25
12.70 3.64










12.30
12.75 3.23










12.35
12.80 2.83










12.40
12.85 2.44










12.45
12.90 2.08










12.50
12.95 1.73










12.55
13.00 1.41










12.60
13.05 1.12










12.65
13.10 0.85










12.70
13.15 0.62










12.75
13.20 0.43










12.80
13.25 0.26










12.85
13.30 0.14










12.90
13.35 0.06










12.95
13.40 0.01










13.00
13.45 0.00










13.05













13.10













13.15













13.20













13.25













13.30













13.35













13.40













13.45














Sheet 3: Energia Kinetyczna od Wychyleni

k 1.40











m 1.60











A 3.60

























x Ek











-20 -270.928











-19 -243.628
-18 -217.728
-17 -193.228
-16 -170.128
-15 -148.428
-14 -128.128
-13 -109.228
-12 -91.728
-11 -75.628
-10 -60.928
-9 -47.628
-8 -35.728
-7 -25.228
-6 -16.128
-5 -8.428
-4 -2.128
-3 2.772
-2 6.272
-1 8.372
0 9.072
1 8.372
2 6.272
3 2.772
4 -2.128
5 -8.428
6 -16.128
7 -25.228
8 -35.728
9 -47.628











10 -60.928











11 -75.628











12 -91.728











13 -109.228











14 -128.128











15 -148.428











16 -170.128











17 -193.228











18 -217.728











19 -243.628











20 -270.928












Sheet 4: Energia Potencjalna od Wychylen

k 1.40











m 1.60











A 3.60

























x Ep











-20 280











-19 252.7











-18 226.8
-17 202.3
-16 179.2
-15 157.5
-14 137.2
-13 118.3
-12 100.8
-11 84.7
-10 70
-9 56.7
-8 44.8
-7 34.3
-6 25.2
-5 17.5
-4 11.2
-3 6.3
-2 2.8
-1 0.7
0 0
1 0.7
2 2.8
3 6.3
4 11.2
5 17.5
6 25.2
7 34.3
8 44.8
9 56.7
10 70











11 84.7











12 100.8











13 118.3











14 137.2











15 157.5











16 179.2











17 202.3











18 226.8











19 252.7











20 280












Sheet 5: Energia Całkowita od Wychylenia

k 1.4










m 1.6










A 3.6























x Ec










-20 9.072










-19 9.072










-18 9.072
-17 9.072
-16 9.072
-15 9.072
-14 9.072
-13 9.072
-12 9.072
-11 9.072
-10 9.072
-9 9.072
-8 9.072
-7 9.072
-6 9.072
-5 9.072
-4 9.072
-3 9.072
-2 9.072
-1 9.072
0 9.072
1 9.072
2 9.072
3 9.072
4 9.072
5 9.072
6 9.072
7 9.072
8 9.072
9 9.072










10 9.072










11 9.072










12 9.072










13 9.072










14 9.072










15 9.072










16 9.072










17 9.072










18 9.072










19 9.072










20 9.072











Sheet 6: Energia Całkowita od Czasu

k 1.40











m 1.60











A 3.60

























t Ec











0.00 9.072











0.05 9.072











0.10 9.072











0.15 9.072











0.20 9.072











0.25 9.072











0.30 9.072
0.35 9.072
0.40 9.072
0.45 9.072
0.50 9.072
0.55 9.072
0.60 9.072
0.65 9.072
0.70 9.072
0.75 9.072
0.80 9.072
0.85 9.072
0.90 9.072
0.95 9.072
1.00 9.072
1.05 9.072
1.10 9.072
1.15 9.072
1.20 9.072
1.25 9.072
1.30 9.072
1.35 9.072
1.40 9.072
1.45 9.072
1.50 9.072
1.55 9.072











1.60 9.072











1.65 9.072











1.70 9.072











1.75 9.072











1.80 9.072











1.85 9.072











1.90 9.072











1.95 9.072











2.00 9.072











2.05 9.072











2.10 9.072











2.15 9.072











2.20 9.072











2.25 9.072











2.30 9.072











2.35 9.072











2.40 9.072











2.45 9.072











2.50 9.072











2.55 9.072











2.60 9.072











2.65 9.072











2.70 9.072











2.75 9.072











2.80 9.072











2.85 9.072











2.90 9.072











2.95 9.072











3.00 9.072











3.05 9.072











3.10 9.072











3.15 9.072











3.20 9.072











3.25 9.072











3.30 9.072











3.35 9.072











3.40 9.072











3.45 9.072











3.50 9.072











3.55 9.072











3.60 9.072











3.65 9.072











3.70 9.072











3.75 9.072











3.80 9.072











3.85 9.072











3.90 9.072











3.95 9.072











4.00 9.072











4.05 9.072











4.10 9.072











4.15 9.072











4.20 9.072











4.25 9.072











4.30 9.072











4.35 9.072











4.40 9.072











4.45 9.072











4.50 9.072











4.55 9.072











4.60 9.072











4.65 9.072











4.70 9.072











4.75 9.072











4.80 9.072











4.85 9.072











4.90 9.072











4.95 9.072











5.00 9.072











5.05 9.072











5.10 9.072











5.15 9.072











5.20 9.072











5.25 9.072











5.30 9.072











5.35 9.072











5.40 9.072











5.45 9.072











5.50 9.072











5.55 9.072











5.60 9.072











5.65 9.072











5.70 9.072











5.75 9.072











5.80 9.072











5.85 9.072











5.90 9.072











5.95 9.072











6.00 9.072











6.05 9.072











6.10 9.072











6.15 9.072











6.20 9.072











6.25 9.072











6.30 9.072











6.35 9.072











6.40 9.072











6.45 9.072











6.50 9.072











6.55 9.072











6.60 9.072











6.65 9.072











6.70 9.072











6.75 9.072











6.80 9.072











6.85 9.072











6.90 9.072











6.95 9.072











7.00 9.072











7.05 9.072











7.10 9.072











7.15 9.072











7.20 9.072











7.25 9.072











7.30 9.072











7.35 9.072











7.40 9.072











7.45 9.072











7.50 9.072











7.55 9.072











7.60 9.072











7.65 9.072











7.70 9.072











7.75 9.072











7.80 9.072











7.85 9.072











7.90 9.072











7.95 9.072











8.00 9.072











8.05 9.072











8.10 9.072











8.15 9.072











8.20 9.072











8.25 9.072











8.30 9.072











8.35 9.072











8.40 9.072











8.45 9.072











8.50 9.072











8.55 9.072











8.60 9.072











8.65 9.072











8.70 9.072











8.75 9.072











8.80 9.072











8.85 9.072











8.90 9.072











8.95 9.072











9.00 9.072











9.05 9.072











9.10 9.072











9.15 9.072











9.20 9.072











9.25 9.072











9.30 9.072











9.35 9.072











9.40 9.072











9.45 9.072











9.50 9.072











9.55 9.072











9.60 9.072











9.65 9.072











9.70 9.072











9.75 9.072











9.80 9.072











9.85 9.072











9.90 9.072











9.95 9.072











10.00 9.072











10.05 9.072











10.10 9.072











10.15 9.072











10.20 9.072











10.25 9.072











10.30 9.072











10.35 9.072











10.40 9.072











10.45 9.072











10.50 9.072











10.55 9.072











10.60 9.072











10.65 9.072











10.70 9.072











10.75 9.072











10.80 9.072











10.85 9.072











10.90 9.072











10.95 9.072











11.00 9.072











11.05 9.072











11.10 9.072











11.15 9.072











11.20 9.072











11.25 9.072











11.30 9.072











11.35 9.072











11.40 9.072











11.45 9.072











11.50 9.072











11.55 9.072











11.60 9.072











11.65 9.072











11.70 9.072











11.75 9.072











11.80 9.072











11.85 9.072











11.90 9.072











11.95 9.072











12.00 9.072











12.05 9.072











12.10 9.072











12.15 9.072











12.20 9.072











12.25 9.072











12.30 9.072











12.35 9.072











12.40 9.072











12.45 9.072











12.50 9.072











12.55 9.072











12.60 9.072











12.65 9.072











12.70 9.072











12.75 9.072











12.80 9.072











12.85 9.072











12.90 9.072











12.95 9.072











13.00 9.072











13.05 9.072











13.10 9.072











13.15 9.072











13.20 9.072











13.25 9.072











13.30 9.072











13.35 9.072











13.40 9.072











13.45 9.072












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