MediaWiki API result
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{
"compare": {
"fromid": 1,
"fromrevid": 1,
"fromns": 0,
"fromtitle": "Etusivu",
"toid": 2,
"torevid": 2,
"tons": 0,
"totitle": "Fysiikan oppikirja/Liike ja voima",
"*": "<tr><td colspan=\"2\" class=\"diff-lineno\" id=\"mw-diff-left-l1\">Rivi 1:</td>\n<td colspan=\"2\" class=\"diff-lineno\">Rivi 1:</td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"><strong>MediaWiki </del>on <del class=\"diffchange diffchange-inline\">onnistuneesti asennettu</del>.<del class=\"diffchange diffchange-inline\"><</del>/<del class=\"diffchange diffchange-inline\">strong></del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Nopeus ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Nopeus (tunnus ''v'') kuvaa, miten pitk\u00e4ss\u00e4 ajassa liikutaan tietty matka. Nopeuden yksikk\u00f6 </ins>on <ins class=\"diffchange diffchange-inline\">m/s tai km/h</ins>. <ins class=\"diffchange diffchange-inline\">Nopeus on matkan suhde aikaan eli v = s </ins>/ <ins class=\"diffchange diffchange-inline\">t.</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">Lis\u00e4tietoja wiki-ohjelmiston k\u00e4yt\u00f6st\u00e4 </del>on <del class=\"diffchange diffchange-inline\">[https:</del>//<del class=\"diffchange diffchange-inline\">www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents k\u00e4ytt\u00f6oppaassa]</del>.</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Esimerkki'''</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Jos auto kulkee 240km matkan 3 tunnissa, sen keskim\u00e4\u00e4r\u00e4inen nopeus </ins>on <ins class=\"diffchange diffchange-inline\">240km </ins>/ <ins class=\"diffchange diffchange-inline\">3h = 80km</ins>/<ins class=\"diffchange diffchange-inline\">h</ins>.</div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>=== <del class=\"diffchange diffchange-inline\">Aloittaminen </del>===</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>== <ins class=\"diffchange diffchange-inline\">Voima </ins>==</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voima on kappaleiden v\u00e4lisi\u00e4 vuorovaikutuksia kuvaava suure ja sen yksikk\u00f6 on newton. Kun kappaleeseen vaikuttavien voimien summa on erisuuri kuin nolla, on kappale kiihtyv\u00e4ss\u00e4 liikkeess\u00e4, eli<br> </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">::<math>\\Sigma\\bar{F} </ins>= <ins class=\"diffchange diffchange-inline\">m \\bar{a}</math> </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><br> ,jossa F </ins>= <ins class=\"diffchange diffchange-inline\">voima, m = massa ja a = kiihtyvyys. Viivat F:n ja a:n p\u00e4\u00e4ll\u00e4 tarkoittavat sit\u00e4, ett\u00e4 ne ovat ''vektorisuureita'' eli niill\u00e4 on suunta JA suuruus. Massa puolestaan on ''skalaarisuure'' eli sill\u00e4 on vain suuruus. Sigma F:n edess\u00e4 tarkoittaa, ett\u00e4 on kyse kokonaisvoimasta.</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Asetusten teko-ohjeita]</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Esimerkki 1'''<br></ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https:</del>/<del class=\"diffchange diffchange-inline\">/www</del>.<del class=\"diffchange diffchange-inline\">mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWikin FAQ]</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Auto liikkuu eteenp\u00e4in kiihdytt\u00e4en samalla vauhtiaan tasaisella kiihtyvyydell\u00e4 5,6 m</ins>/<ins class=\"diffchange diffchange-inline\">s\u00b2</ins>. <ins class=\"diffchange diffchange-inline\">Kuinka suuri on autoa eteenp\u00e4in viev\u00e4 voima</ins>, <ins class=\"diffchange diffchange-inline\">kun auto painaa 750 kg? Vastusvoimia ei oteta huomioon</ins>.</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https://lists.wikimedia.org/postorius/lists/mediawiki-announce.lists.wikimedia.org/ S\u00e4hk\u00f6postilista</del>, <del class=\"diffchange diffchange-inline\">jolla tiedotetaan MediaWikin uusista versioista]</del></div></td><td colspan=\"2\" class=\"diff-side-added\"></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources K\u00e4\u00e4nn\u00e4 MediaWiki\u00e4 kielellesi]</del></div></td><td colspan=\"2\" class=\"diff-side-added\"></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https://www.mediawiki</del>.<del class=\"diffchange diffchange-inline\">org/wiki/Special:MyLanguage/Manual:Combating_spam Katso, kuinka torjua sp\u00e4mmi\u00e4 wikiss\u00e4si]</del></div></td><td colspan=\"2\" class=\"diff-side-added\"></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">=== Asetukset ===</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Ratkaisu'''<br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Newtonin II mukaan:<br></ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">Tarkista, ett\u00e4 alla olevat taivutusmuodot ovat oikein</del>. <del class=\"diffchange diffchange-inline\">Jos eiv\u00e4t</del>, <del class=\"diffchange diffchange-inline\">tee tarvittavat muutokset tiedostoon LocalSettings.php seuraavasti</del>:</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">::<math>\\Sigma\\bar{F} = m \\bar{a}</math> <br></ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"> $wgGrammarForms['fi']['genitive']['</del>{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}<del class=\"diffchange diffchange-inline\">'] </del>= <del class=\"diffchange diffchange-inline\">'</del>...<del class=\"diffchange diffchange-inline\">';</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">::<math>\\bar{F} = m \\bar{a}</math> || merkkisopimus(eli muutetaan yht\u00e4l\u00f6 skalaariyht\u00e4l\u00f6ksi</ins>. <ins class=\"diffchange diffchange-inline\">T\u00e4ss\u00e4 tapauksessa poistetaan vain vektorimerkit</ins>, <ins class=\"diffchange diffchange-inline\">koska tarkastellaan yksiulotteista liikett\u00e4)<br></ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"> $wgGrammarForms</del>[<del class=\"diffchange diffchange-inline\">'fi'</del>][<del class=\"diffchange diffchange-inline\">'partitive'</del>][<del class=\"diffchange diffchange-inline\">'</del>{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}<del class=\"diffchange diffchange-inline\">'] </del>= <del class=\"diffchange diffchange-inline\">'</del>...'<del class=\"diffchange diffchange-inline\">;</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:</ins>:<ins class=\"diffchange diffchange-inline\"><math>F = ma</math> || m = 750 kg, a = 5,6 m/s\u00b2</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"> $wgGrammarForms[</del>'<del class=\"diffchange diffchange-inline\">fi</del>'<del class=\"diffchange diffchange-inline\">][</del>'<del class=\"diffchange diffchange-inline\">elative</del>'<del class=\"diffchange diffchange-inline\">][</del>'{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}<del class=\"diffchange diffchange-inline\">'] </del>= '<del class=\"diffchange diffchange-inline\">...</del>'<del class=\"diffchange diffchange-inline\">;</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">::<math>F = 750kg \\cdot 5,6 \\frac{m}</ins>{<ins class=\"diffchange diffchange-inline\">s^2} = 4200 \\frac </ins>{<ins class=\"diffchange diffchange-inline\">kg \\cdot m</ins>} <ins class=\"diffchange diffchange-inline\">{s^2</ins>} = <ins class=\"diffchange diffchange-inline\">4200 N</math></ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"> $wgGrammarForms[</del>'<del class=\"diffchange diffchange-inline\">fi</del>'<del class=\"diffchange diffchange-inline\">][</del>'<del class=\"diffchange diffchange-inline\">inessive</del>'<del class=\"diffchange diffchange-inline\">][</del>'<del class=\"diffchange diffchange-inline\">{{SITENAME}}</del>'<del class=\"diffchange diffchange-inline\">] </del>= <del class=\"diffchange diffchange-inline\">'.</del>..'<del class=\"diffchange diffchange-inline\">;</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"> $wgGrammarForms[</del>'<del class=\"diffchange diffchange-inline\">fi</del>'<del class=\"diffchange diffchange-inline\">][</del>'<del class=\"diffchange diffchange-inline\">illative</del>'<del class=\"diffchange diffchange-inline\">][</del>'{{<del class=\"diffchange diffchange-inline\">SITENAME}</del>}<del class=\"diffchange diffchange-inline\">'] </del>= <del class=\"diffchange diffchange-inline\">'</del>...<del class=\"diffchange diffchange-inline\">';</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Liike-energia==</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">Taivutusmuodot: </del>{{<del class=\"diffchange diffchange-inline\">GRAMMAR:genitive|</del>{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}}} <del class=\"diffchange diffchange-inline\">(y\u00f6n) \u2013 </del>{{<del class=\"diffchange diffchange-inline\">GRAMMAR:partitive|</del>{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}}} (<del class=\"diffchange diffchange-inline\">y\u00f6t\u00e4</del>) <del class=\"diffchange diffchange-inline\">\u2013 </del>{{<del class=\"diffchange diffchange-inline\">GRAMMAR:elative|</del>{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}}} (<del class=\"diffchange diffchange-inline\">y\u00f6st\u00e4</del>) <del class=\"diffchange diffchange-inline\">\u2013 </del>{{<del class=\"diffchange diffchange-inline\">GRAMMAR</del>:<del class=\"diffchange diffchange-inline\">inessive|</del>{{<del class=\"diffchange diffchange-inline\">SITENAME}}}</del>} (<del class=\"diffchange diffchange-inline\">y\u00f6ss\u00e4</del>) <del class=\"diffchange diffchange-inline\">\u2013 {{GRAMMAR</del>:<del class=\"diffchange diffchange-inline\">illative</del>|{{<del class=\"diffchange diffchange-inline\">SITENAME</del>}}<del class=\"diffchange diffchange-inline\">}} (y\u00f6h\u00f6n).</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Liike-energia eli kineettinen energia on kappaleen liikkeeseen varautunutta energiaa</ins>. <ins class=\"diffchange diffchange-inline\">Kappaletta kiihdytett\u00e4ess\u00e4 sen kiihdytt\u00e4miseen k\u00e4ytetty energia varastoituu kappaleen liike-energiaksi</ins>. <ins class=\"diffchange diffchange-inline\">Klassisen fysiikan mukaan levosta liikkeelle l\u00e4htev\u00e4n kappaleen liike-energia voidaan laskea kaavasta:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>E_k=\\frac{1}{2}mv^2</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kaavasta n\u00e4hd\u00e4\u00e4n, ett\u00e4 liike-energia on suoraan verrannollinen nopeuden neli\u00f6\u00f6n ja suoraan verrannollinen kappaleen massaan. T\u00e4st\u00e4 syyst\u00e4 esimerkiksi auton jarrutusmatka 100km/h nopeudesta on huomattavasti pidempi kuin 80km/h nopeudesta</ins>.</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Liike-energian (kuten muidenkin energian muotojen) yksikk\u00f6 on joule (J):</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math></ins>[<ins class=\"diffchange diffchange-inline\">E_k</ins>] <ins class=\"diffchange diffchange-inline\">= </ins>[<ins class=\"diffchange diffchange-inline\">m</ins>] <ins class=\"diffchange diffchange-inline\">\\cdot </ins>[<ins class=\"diffchange diffchange-inline\">v]^2 = kg \\cdot (\\frac</ins>{<ins class=\"diffchange diffchange-inline\">m}</ins>{<ins class=\"diffchange diffchange-inline\">s</ins>}<ins class=\"diffchange diffchange-inline\">)^2 = \\frac{kg \\cdot m^2}{s^2</ins>} = <ins class=\"diffchange diffchange-inline\">J</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Potentiaalienergia==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Potentiaalienergia on kappaleeseen varastoitunutta energiaa. Energia varastoituu kappaleeseen, kun kappaleeseen kohdistetaan voima, joka aiheuttaa muutoksen kappaleessa. Esimerkkej\u00e4 potentiaalienergiasta ovat jouseen varastoitunut voima ja kappaleen asemaan nostettaessa varastoituva energia</ins>. <ins class=\"diffchange diffchange-inline\">Jousta j\u00e4nnitett\u00e4ess\u00e4 tehd\u00e4\u00e4n ty\u00f6t\u00e4 jousen j\u00e4ykkyysvoimia vastaan</ins>. <ins class=\"diffchange diffchange-inline\">Kappaletta nostettaessa taas tehd\u00e4\u00e4n maan painovoimaa vastaan ty\u00f6t\u00e4, joka varastoituu kappaleen asemaan potentiaalienergiaksi</ins>. <ins class=\"diffchange diffchange-inline\">L\u00e4hell\u00e4 maan pintaa voidaan nostoty\u00f6n varastoima potentiaalienergia voidaan laskea kaavasta:<br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">::<math>E_{pot}=mgh</math>, </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">jossa ''h</ins>'' <ins class=\"diffchange diffchange-inline\">on korkeus maan pinnasta. Korkeuden kasvaessa kaavan tarkkuus pienenee, sill\u00e4 putoamiskiihtyvyytt\u00e4 </ins>''<ins class=\"diffchange diffchange-inline\">g</ins>'' <ins class=\"diffchange diffchange-inline\">ei voida t\u00e4ll\u00f6in approksimoida vakiona. Kaava on kuitenkin hyv\u00e4 likiarvo l\u00e4hell\u00e4 maan pintaa.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Energian s\u00e4ilymislaki==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Energian s\u00e4ilymislaki on yksi luonnon peruslaeista, sen mukaan energian m\u00e4\u00e4r\u00e4 eristetyss\u00e4 systeemiss\u00e4 (eli energiaa ei siirry systeemin ulkopuolelle tai ulkopuolelta systeemiin) on vakio. Yksinkertaisimmillaan energian s\u00e4ilymislakia voidaan soveltaa potentiaalienergian ja kineettisen energian v\u00e4lill\u00e4:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>E_{pot}^</ins>{<ins class=\"diffchange diffchange-inline\">alussa} + E_</ins>{<ins class=\"diffchange diffchange-inline\">kin</ins>}<ins class=\"diffchange diffchange-inline\">^{alussa</ins>} = <ins class=\"diffchange diffchange-inline\">E_{pot}^{lopussa} + E_{kin}^{lopussa}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>'''<ins class=\"diffchange diffchange-inline\">Esimerkki</ins>'''<ins class=\"diffchange diffchange-inline\"><br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>''<ins class=\"diffchange diffchange-inline\">Palloa (massa m</ins>=<ins class=\"diffchange diffchange-inline\">0,5kg) heitet\u00e4\u00e4n kohtisuoraan yl\u00f6sp\u00e4in siten, ett\u00e4 sille annetaan liike-energiaa 50J</ins>. <ins class=\"diffchange diffchange-inline\">Kuinka korkealle pallo nousee? Oletetaan, ett\u00e4 liike-energia muuttuu kappaleen potentiaalienergiaksi eli ilmanvastusta ei huomioida</ins>.</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>'''<ins class=\"diffchange diffchange-inline\">Ratkaisu</ins>'''<ins class=\"diffchange diffchange-inline\">:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Valitaan potentiaalienergian nollatasoksi heittokorkeus, jolloin <math>E_</ins>{<ins class=\"diffchange diffchange-inline\">pot}^</ins>{<ins class=\"diffchange diffchange-inline\">alussa</ins>}=<ins class=\"diffchange diffchange-inline\">0</math></ins>. <ins class=\"diffchange diffchange-inline\">Kun kaikki liike-energia on muuttunut potentiaalienergiaksi, pallo on korkeimmassa kohdassaan</ins>. <ins class=\"diffchange diffchange-inline\">T\u00e4ll\u00f6in <math>E_{kin}^{lopussa}=0</math></ins>. <ins class=\"diffchange diffchange-inline\">Saadaan yht\u00e4l\u00f6:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>E_</ins>{<ins class=\"diffchange diffchange-inline\">pot}^</ins>{<ins class=\"diffchange diffchange-inline\">alussa} + E_</ins>{<ins class=\"diffchange diffchange-inline\">kin}^</ins>{<ins class=\"diffchange diffchange-inline\">alussa</ins>} <ins class=\"diffchange diffchange-inline\">= E_{pot</ins>}<ins class=\"diffchange diffchange-inline\">^{lopussa</ins>} <ins class=\"diffchange diffchange-inline\">+ E_{kin</ins>}<ins class=\"diffchange diffchange-inline\">^</ins>{<ins class=\"diffchange diffchange-inline\">lopussa}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>0J + E_</ins>{<ins class=\"diffchange diffchange-inline\">kin}^</ins>{<ins class=\"diffchange diffchange-inline\">alussa} = E_</ins>{<ins class=\"diffchange diffchange-inline\">pot</ins>}<ins class=\"diffchange diffchange-inline\">^{lopussa</ins>} <ins class=\"diffchange diffchange-inline\">+ 0J</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>E_{kin</ins>}<ins class=\"diffchange diffchange-inline\">^{alussa</ins>} <ins class=\"diffchange diffchange-inline\">= m \\cdot g \\cdot h || : </ins>(<ins class=\"diffchange diffchange-inline\">m \\cdot g</ins>)<ins class=\"diffchange diffchange-inline\"></math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>h = \\frac</ins>{<ins class=\"diffchange diffchange-inline\">E_</ins>{<ins class=\"diffchange diffchange-inline\">kin}^</ins>{<ins class=\"diffchange diffchange-inline\">alussa}}</ins>{<ins class=\"diffchange diffchange-inline\">m \\cdot g</ins>}<ins class=\"diffchange diffchange-inline\"></math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>h = \\frac{50J</ins>}<ins class=\"diffchange diffchange-inline\">{0,5kg \\cdot 9,81\\frac{m}{s^2</ins>}}<ins class=\"diffchange diffchange-inline\"></math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>h = 10,1936 m</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><u>Vastaus: 10,2 metrin korkeuteen.</u></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Kiihtyvyys==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kiihtyvyys (tunnus \u03b1) kuvaa kappaleen nopeuden muutosta tietyss\u00e4 ajassa. Sen yksikk\u00f6 on SI-j\u00e4rjestelm\u00e4ss\u00e4 m/s\u00b2 </ins>(<ins class=\"diffchange diffchange-inline\">eli m/s / s</ins>)<ins class=\"diffchange diffchange-inline\">. Negatiivinen kiihtyvyys tarkoittaa liikkeen hidastumista. Suuri positiivinen kiihtyvyys vastaa nopeaa nopeuden kasvua. Tasaisesti kiihtyv\u00e4ss\u00e4 liikkeess\u00e4 loppunopeus <math>v = v_0 + at</math> ja kuljettu matka <math>x = x_0 + v_0t + \\frac</ins>{<ins class=\"diffchange diffchange-inline\">1}</ins>{<ins class=\"diffchange diffchange-inline\">2}at^2</math>.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kiihtyvyys on matkan toinen derivaatta ajan suhteen. Se on vektorisuure eli sill\u00e4 on aina suunta ja suuruus.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">T\u00f6rm\u00e4yksess\u00e4 tapahtuvaa \u00e4kkin\u00e4ist\u00e4 nopeuden laskua mitataan usein yksik\u00f6n g avulla, joka on maan vetovoiman aiheuttama putoamiskiihtyvyys (n. 9,81 m/s\u00b2). Esimerkiksi jos kiihtyvyys on 49 m/s\u00b2 voidaan sen sanoa olevan 5 g. T\u00e4m\u00e4 helpottaa suurten kiihtyvyyksien hahmottamista.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Massa==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Massa (tunnus m) kuvaa aineen m\u00e4\u00e4r\u00e4\u00e4 ja sen hitautta, suurimassainen kappale kiihtyy hitaammin kuin pienempimassainen, jos voima on sama. Arkikielen ilmaisuna k\u00e4ytet\u00e4\u00e4n my\u00f6s \"kappaleen painoa\". Massan SI-j\u00e4rjestelm\u00e4n mukainen perusyksikk\u00f6 on kilogramma. Toinen suurissa massoissa k\u00e4ytetty yksikk\u00f6 on tonni ( 1000 kg ). Atomimassoja mitattaessa k\u00e4ytet\u00e4\u00e4n atomimassayksikk\u00f6\u00e4 (u = 1,6605402 \u00b7 10<sup>-27</sup> kg) joka on 1/12 hiili-12 atomin massasta.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Voimien yhteisvaikutus==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voima (tunnus usein F, painovoimasta G, j\u00e4nnitysvoimasta T ja pinnan tukivoimasta N) vaikuttaa, kun jokin laite tai esim. ihminen vet\u00e4\u00e4 tai ty\u00f6nt\u00e4\u00e4 jotakin kappaletta. Kaikki kappaleet vaikuttavat toisiinsa painovoimalla. Voiman yksikk\u00f6 SI-j\u00e4rjestelm\u00e4ss\u00e4 on newton (N = kg\u00b7m/s\u00b2). Voima F aiheuttaa Newtonin toisen lain mukaisesti kiihtyvyyden kappaleelle. F = ma Voimaa voidaan mitata yksinkertaisesti esim. jousivaa'alla.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voima on fysiikassa ilmi\u00f6, joka muuttaa kappaleen liiketilaa.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Kitka==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kitka eli liikevastus on pintojen ep\u00e4tasaisuudesta johtuva vastustava voima, joka ilmenee kahden toisiaan koskettavan pinnan liikkuessa vastakkain. Kitka on ilmi\u00f6, jonka voittamiseksi kappaleen on teht\u00e4v\u00e4 ty\u00f6t\u00e4 yht\u00e4l\u00f6n W=Fs mukaisesti. T\u00e4ll\u00f6in kappaleeseen varastoitunutta energiaa muuttuu muiksi energian muodoiksi, mm. l\u00e4mm\u00f6ksi. Kitkan eri lajeja ovat vierimiskitka, py\u00f6rimiskitka, sek\u00e4 liukumiskitka. Kappaleen l\u00e4ht\u00f6kitka on suurempi kuin kappaleen liikkumiskitka. Kitkavoima on yht\u00e4 suuri kuin kitkakertoimen \u00b5 (joka on tapauskohtainen) ja kappaleen pintaa vastaan kohtisuoran tukivoiman tulo.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Esimerkki'''<br> 10,0kg massainen kappale liukuu j\u00e4\u00e4ll\u00e4, ja kappaleen ja j\u00e4\u00e4n v\u00e4linen liukukitkakerroin on 0,05. Kuinka suuri ty\u00f6 on teht\u00e4v\u00e4 (eli kuinka paljon energiaa on k\u00e4ytett\u00e4v\u00e4 kappaleen ty\u00f6nt\u00e4miseen), jotta kappale liukuisi tasaisella nopeudella 15,0m matkan (vihje</ins>: <ins class=\"diffchange diffchange-inline\">kappaleen nopeus ei muutu, jos siihen vaikuttavien voimien summa on 0; t\u00e4ss\u00e4 tapauksessa siis on ty\u00f6nnett\u00e4v\u00e4 kappaletta yht\u00e4 suurella voimalla kuin mill\u00e4 kitka vastustaa liikett\u00e4).<br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Ratkaisu:''' Ratkaistaan ensin pinnan tukivoima N, joka on kappaleen paino:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>N = mg = 10,0kg \\cdot 9,81 \\frac</ins>{<ins class=\"diffchange diffchange-inline\">m}</ins>{<ins class=\"diffchange diffchange-inline\">s^2</ins>} <ins class=\"diffchange diffchange-inline\">= 98,1 N</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Tukivoiman perusteella voidaan laskea kitkavoima:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>F = \\mu \\cdot N = 0,05 \\cdot 98,1N = 4,905N</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Teht\u00e4v\u00e4 ty\u00f6 W saadaan voiman ja matkan tulona:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>W = F \\cdot s = 4,905N \\cdot 15,0m = 73,575J</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><u>Vastaus: 73,6 Joulea</u></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Paine==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Paine (tunnus p) ilmaisee pinta-alayksikk\u00f6\u00f6n kohdistuvaa voimaa. Paineen yksikk\u00f6 SI-j\u00e4rjestelm\u00e4ss\u00e4 on pascal (Pa = N / m\u00b2).</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kineettisen kaasuteorian mukaan kaasun paine aiheutuu hiukkasten </ins>(<ins class=\"diffchange diffchange-inline\">atomit, molekyylit yms.</ins>) <ins class=\"diffchange diffchange-inline\">t\u00f6rm\u00e4ilyst\u00e4 pintaan. T\u00f6rm\u00e4tess\u00e4\u00e4n ne antavat pintaan liikem\u00e4\u00e4r\u00e4impulssin, jonka ansiosta kappale alkaisi liikkumaan partikkeleist\u00e4 poisp\u00e4in. Esimerkiksi ilmakeh\u00e4ss\u00e4 oleva esine ei l\u00e4hde liikkumaan mihink\u00e4\u00e4n suuntaan, koska sen joka puolella on ilmamolekyylej\u00e4, jotka kaikki t\u00f6niv\u00e4t sit\u00e4 poisp\u00e4in ja kumoavat toistensa vaikutuksen.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Jos t\u00e4ss\u00e4 ilmakeh\u00e4ss\u00e4 olevan kappaleen sis\u00e4ll\u00e4 ei olisi ilmamolekyylej\u00e4 niin tihe\u00e4sti kuin sen ymp\u00e4rill\u00e4, ei sis\u00e4ll\u00e4 olevien molekyylien kappaleen sein\u00e4mien sis\u00e4pintoihin aiheuttama paine pystyisi kumoamaan ulkopuolella olevien ilmamolekyylien aiheuttamaa painetta, jolloin kappale puristuisi kasaan, jos sein\u00e4m\u00e4t eiv\u00e4t kest\u00e4isi paine-eron aiheuttamaa voimaa.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Katso my\u00f6s SI-j\u00e4rjestelm\u00e4n [[Fysiikan oppikirja/Suureet|Suure]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Katso my\u00f6s==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*[[Fysiikan oppikirja/Energia]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[Luokka</ins>:<ins class=\"diffchange diffchange-inline\">Fysiikan oppikirja</ins>|{{<ins class=\"diffchange diffchange-inline\">SUBPAGENAME</ins>}}<ins class=\"diffchange diffchange-inline\">]]</ins></div></td></tr>\n"
}
}