{"id":2456,"date":"2026-02-13T23:01:31","date_gmt":"2026-02-13T21:01:31","guid":{"rendered":"https:\/\/science-x.net\/?page_id=2456"},"modified":"2026-02-13T23:01:32","modified_gmt":"2026-02-13T21:01:32","slug":"gravitational-force-calculator","status":"publish","type":"page","link":"https:\/\/science-x.net\/?page_id=2456","title":{"rendered":"Gravitational Force Calculator"},"content":{"rendered":"\n<div class=\"eco-tool wp-block-group\" id=\"eco-tool-grav-2c8a7\">\n  <div class=\"eco-tool__header\">\n    <h2 class=\"eco-tool__title\">Gravitational Force Calculator<\/h2>\n    <p class=\"eco-tool__lead\">\n      Calculate gravitational attraction between two masses using Newton\u2019s law of gravitation.\n    <\/p>\n  <\/div>\n\n  <form class=\"eco-tool__form\" id=\"eco-grav-form-2c8a7\" novalidate>\n    <div class=\"eco-tool__grid3\">\n      <!-- G -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-grav-g-2c8a7\">\n          Gravitational constant (G)<br>(m\u00b3\u00b7kg\u207b\u00b9\u00b7s\u207b\u00b2)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-grav-g-2c8a7\" type=\"number\" step=\"any\" value=\"6.67430e-11\" inputmode=\"decimal\" \/>\n        <div class=\"eco-tool__hint\">Default: 6.67430\u00d710\u207b\u00b9\u00b9.<\/div>\n      <\/div>\n\n      <!-- m1 -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-grav-m1-2c8a7\">\n          Mass 1 (m\u2081)<br>(kg)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-grav-m1-2c8a7\" type=\"number\" min=\"0\" step=\"any\" placeholder=\"e.g., 5.97e24\" inputmode=\"decimal\" \/>\n        <div class=\"eco-tool__hint\">Example: Earth \u2248 5.97e24 kg.<\/div>\n      <\/div>\n\n      <!-- m2 -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-grav-m2-2c8a7\">\n          Mass 2 (m\u2082)<br>(kg)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-grav-m2-2c8a7\" type=\"number\" min=\"0\" step=\"any\" placeholder=\"e.g., 70\" inputmode=\"decimal\" \/>\n        <div class=\"eco-tool__hint\">Example: person \u2248 70 kg.<\/div>\n      <\/div>\n\n      <!-- r -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-grav-r-2c8a7\">\n          Distance between centers (r)<br>(meters)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-grav-r-2c8a7\" type=\"number\" min=\"0\" step=\"any\" placeholder=\"e.g., 6.371e6\" inputmode=\"decimal\" \/>\n        <div class=\"eco-tool__hint\">Use center-to-center distance (r &gt; 0).<\/div>\n      <\/div>\n\n      <!-- Formula -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\">Formulas<\/label>\n        <div class=\"eco-tool__noteBox\">\n          F = G\u00b7m\u2081\u00b7m\u2082 \/ r\u00b2<br>\n          a\u2081 = F \/ m\u2081,  a\u2082 = F \/ m\u2082\n        <\/div>\n        <div class=\"eco-tool__hint\">Units: N for force, m\/s\u00b2 for acceleration.<\/div>\n      <\/div>\n\n      <!-- Tip -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\">Tip<\/label>\n        <div class=\"eco-tool__noteBox\">\n          If m\u2081 is Earth and r is Earth\u2019s radius, a\u2082 is close to 9.81 m\/s\u00b2.\n        <\/div>\n        <div class=\"eco-tool__hint\">This is the ideal inverse-square law.<\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"eco-tool__actions\">\n      <button type=\"button\" class=\"wp-element-button eco-tool__btn\" id=\"eco-grav-calc-2c8a7\">Calculate<\/button>\n      <button type=\"button\" class=\"wp-element-button eco-tool__btn eco-tool__btn--ghost\" id=\"eco-grav-reset-2c8a7\">Reset<\/button>\n      <div class=\"eco-tool__error\" id=\"eco-grav-error-2c8a7\" aria-live=\"polite\"><\/div>\n    <\/div>\n  <\/form>\n\n  <div class=\"eco-tool__result\" id=\"eco-grav-result-2c8a7\" hidden>\n    <h3 class=\"eco-tool__subtitle\">Results<\/h3>\n\n    <div class=\"eco-tool__cards\">\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Force (F)<\/div>\n        <div class=\"eco-tool__metric-value\" id=\"eco-grav-out-f-2c8a7\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub\">Newtons (N)<\/div>\n      <\/div>\n\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Acceleration of m\u2081 (a\u2081)<\/div>\n        <div class=\"eco-tool__metric-value\" id=\"eco-grav-out-a1-2c8a7\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub\">m\/s\u00b2<\/div>\n      <\/div>\n\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Acceleration of m\u2082 (a\u2082)<\/div>\n        <div class=\"eco-tool__metric-value\" id=\"eco-grav-out-a2-2c8a7\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub\">m\/s\u00b2<\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"eco-tool__card eco-tool__card--wide\">\n      <div class=\"eco-tool__metric-label\">Equation<\/div>\n      <div class=\"eco-tool__metric-sub\" id=\"eco-grav-eq-2c8a7\">\u2014<\/div>\n      <div class=\"eco-tool__metric-sub eco-tool__muted\">Scientific notation is supported (e.g., 6.67e-11).<\/div>\n    <\/div>\n\n    <p class=\"eco-tool__note\">\n      For non-point objects, this works best when r is large compared to object size.\n    <\/p>\n  <\/div>\n<\/div>\n\n<style>\n.eco-tool{border:1px solid rgba(0,0,0,.12);border-radius:12px;padding:16px}\n.eco-tool__grid3{display:grid;grid-template-columns:1fr;gap:16px}\n@media (min-width:860px){.eco-tool__grid3{grid-template-columns:1fr 1fr 1fr}}\n.eco-tool__field{display:flex;flex-direction:column;gap:6px}\n.eco-tool__label{font-weight:600}\n.eco-tool__input{height:44px;padding:0 12px;border:1px solid rgba(0,0,0,.2);border-radius:10px;background:#fff;font:inherit;box-sizing:border-box}\n.eco-tool 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rgba(0,0,0,.12);border-radius:12px;padding:12px}\n.eco-tool__card--wide{margin-top:10px}\n.eco-tool__metric-label{opacity:.85;font-weight:600}\n.eco-tool__metric-value{font-size:1.6em;font-weight:800;margin-top:6px;line-height:1.1}\n.eco-tool__metric-sub{opacity:.85;margin-top:6px}\n.eco-tool__muted{opacity:.8}\n.eco-tool__note{margin-top:10px;opacity:.9}\n<\/style>\n\n<script>\n(function(){\n  const S=\"2c8a7\";\n  const el=(id)=>document.getElementById(id+\"-\"+S);\n\n  const GEl=el(\"eco-grav-g\");\n  const m1El=el(\"eco-grav-m1\");\n  const m2El=el(\"eco-grav-m2\");\n  const rEl=el(\"eco-grav-r\");\n\n  const calcBtn=el(\"eco-grav-calc\");\n  const resetBtn=el(\"eco-grav-reset\");\n  const errEl=el(\"eco-grav-error\");\n\n  const resEl=el(\"eco-grav-result\");\n  const outF=el(\"eco-grav-out-f\");\n  const outA1=el(\"eco-grav-out-a1\");\n  const outA2=el(\"eco-grav-out-a2\");\n  const eqEl=el(\"eco-grav-eq\");\n\n  function setError(msg){ errEl.textContent = msg || \"\"; }\n  function fmt(n,d){\n    if(!Number.isFinite(n)) return \"\u2014\";\n    const a=Math.abs(n);\n    if(a===0) return \"0\";\n    if(a<0.001 || a>=1e9) return n.toExponential(3);\n    return n.toLocaleString(undefined,{maximumFractionDigits:d});\n  }\n\n  function calculate(){\n    setError(\"\");\n\n    const G = Number(GEl.value);\n    const m1 = Number(m1El.value);\n    const m2 = Number(m2El.value);\n    const r = Number(rEl.value);\n\n    if(!Number.isFinite(G) || G <= 0){\n      setError(\"Enter a valid gravitational constant (G).\");\n      resEl.hidden = true; return;\n    }\n    if(!Number.isFinite(m1) || m1 <= 0 || !Number.isFinite(m2) || m2 <= 0){\n      setError(\"Enter valid masses m\u2081 and m\u2082 (kg).\");\n      resEl.hidden = true; return;\n    }\n    if(!Number.isFinite(r) || r <= 0){\n      setError(\"Enter a valid distance r (meters).\");\n      resEl.hidden = true; return;\n    }\n\n    const F = (G * m1 * m2) \/ (r * r);\n    const a1 = F \/ m1;\n    const a2 = F \/ m2;\n\n    outF.textContent = `${fmt(F,6)} N`;\n    outA1.textContent = `${fmt(a1,6)} m\/s\u00b2`;\n    outA2.textContent = `${fmt(a2,6)} m\/s\u00b2`;\n\n    eqEl.textContent = `F = ${fmt(G,6)}\u00d7${fmt(m1,6)}\u00d7${fmt(m2,6)} \/ ${fmt(r,6)}\u00b2 = ${fmt(F,6)} N`;\n\n    resEl.hidden = false;\n  }\n\n  function reset(){\n    GEl.value = \"6.67430e-11\";\n    m1El.value = \"\";\n    m2El.value = \"\";\n    rEl.value = \"\";\n    setError(\"\");\n    resEl.hidden = true;\n  }\n\n  calcBtn.addEventListener(\"click\", calculate);\n  resetBtn.addEventListener(\"click\", reset);\n})();\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Gravitational Force Calculator Calculate gravitational attraction between two masses using Newton\u2019s law of gravitation. Gravitational constant (G)(m\u00b3\u00b7kg\u207b\u00b9\u00b7s\u207b\u00b2) Default: 6.67430\u00d710\u207b\u00b9\u00b9. Mass 1 (m\u2081)(kg) Example: Earth \u2248 5.97e24 kg. Mass 2 (m\u2082)(kg)&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":2354,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2456"}],"collection":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2456"}],"version-history":[{"count":1,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2456\/revisions"}],"predecessor-version":[{"id":2457,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2456\/revisions\/2457"}],"up":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2354"}],"wp:attachment":[{"href":"https:\/\/science-x.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}