{
  "definitions" : {
    "E_{\\mathrm{k}}" : [ "total kinetic energy", {
      "Q46276" : "kinetic energy"
    } ],
    "E_{\\mathrm{r}}" : [ "rotational energy", "angular kinetic energy", {
      "Q2140940" : "Rotational energy"
    } ],
    "E_{\\mathrm{t}}" : [ "translational kinetic energy", { } ]
  },
  "constraints" : [ ],
  "math_inputtex" : " E_\\text{k} = E_t + E_\\text{r} \\, ",
  "math_inputtex_semantic" : "\\w{Q46276}{E _\\text{k}} = E_t + \\w{Q2140940}{E_\\text{r}}",
  "correct_tex" : "E_\\text{k} = E_\\text{t} + E_\\text{r} \\,",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"E_{\\text{k}}=E_{t}+E_{\\text{r}}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n      <msub id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n        <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">E</mi>\n        <mtext id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">k</mtext>\n      </msub>\n      <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">=</mo>\n      <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n        <msub id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n          <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">E</mi>\n          <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">t</mi>\n        </msub>\n        <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">+</mo>\n        <msub id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n          <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">E</mi>\n          <mtext id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">r</mtext>\n        </msub>\n      </mrow>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n        <eq id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"/>\n        <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n          <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1\">subscript</csymbol>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q46276</csymbol>\n          <mtext id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">k</mtext>\n        </apply>\n        <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n          <plus id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n          <apply id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">\n            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.1.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">subscript</csymbol>\n            <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">𝐸</ci>\n            <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">𝑡</ci>\n          </apply>\n          <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2\">subscript</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Q2140940</csymbol>\n            <mtext id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">r</mtext>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">E_{\\text{k}}=E_{t}+E_{\\text{r}}</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=566#math566.28",
  "title" : "Kinetic_energy",
  "type" : "equation",
  "check" : {
    "tree" : true,
    "qid" : false
  }
}