{"id":65179,"date":"2026-05-02T11:19:08","date_gmt":"2026-05-02T08:19:08","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=65179"},"modified":"2026-10-01T13:48:32","modified_gmt":"2026-10-01T10:48:32","slug":"conservation-of-energy-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/physics\/conservation-of-energy-calculator\/","title":{"rendered":"Conservation of Energy Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Calculate Total Mechanical Energy<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"65179\" data-favorite-title=\"Conservation of Energy\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/physics\/conservation-of-energy-calculator\/\" data-favorite-excerpt=\"This calculator applies the conservation of mechanical energy to compare two states of a moving object. Enter the mass, height and velocity at state 1 and the height at state 2 to find the velocity at state 2 and verify that total energy is conserved.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-physic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/physics\/conservation-of-energy-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-65179\" data-post=\"65179\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"is-single field\" id=\"input-1\"><span class=\"font-semibold\">State 1<\/span><\/div><div class=\"field is-single\" id=\"input-2\"><label for=\"field-2\">Mass (m)<\/label><div class=\"field-group\"><input type=\"number\" name=\"mass_m\" id=\"field-2\" step=\"any\" value=\"5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"unit\" aria-label=\"Unit\"><option value=\"kg\">kg<\/option><option value=\"g\">g<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-3\"><label for=\"field-4\">Height 1 (h\u2081)<\/label><div class=\"field-group\"><input type=\"number\" name=\"height_1_h\" id=\"field-4\" step=\"any\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"unit\" aria-label=\"Unit\"><option value=\"m\">m<\/option><option value=\"cm\">cm<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-4\"><label for=\"field-6\">Velocity 1 (v\u2081)<\/label><div class=\"field-group\"><input type=\"number\" name=\"velocity_1_v\" id=\"field-6\" step=\"any\" value=\"0\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"unit\" aria-label=\"Unit\"><option value=\"m\/s\">m\/s<\/option><option value=\"km\/h\">km\/h<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"is-single field\" id=\"input-5\"><span class=\"font-semibold\">State 2<\/span><\/div><div class=\"field is-single\" id=\"input-6\"><label for=\"field-9\">Height 2 (h\u2082)<\/label><div class=\"field-group\"><input type=\"number\" name=\"height_2_h\" id=\"field-9\" step=\"any\" value=\"0\"\/><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"unit\" aria-label=\"Unit\"><option value=\"m\">m<\/option><option value=\"cm\">cm<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-7\" hidden><label for=\"field-11\">Velocity 2 (v\u2082)<\/label><div class=\"field-group\"><input type=\"number\" name=\"velocity_2_v\" id=\"field-11\" step=\"any\" value=\"14\"\/><div class=\"grid grid-cols-1\"><select id=\"field-12\" name=\"unit\" aria-label=\"Unit\"><option value=\"m\/s\">m\/s<\/option><option value=\"km\/h\">km\/h<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-8\"><label for=\"field-13\">Gravitational Acceleration (g)<\/label><input type=\"number\" name=\"gravitational_acceleration_g\" id=\"field-13\" aria-describedby=\"calc-unit-13\" step=\"any\" value=\"9.81\"\/><div class=\"unit\" id=\"calc-unit-13\">m\/s\u00b2<\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"65179\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Total Energy (State 1)<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Velocity at State 2 (v\u2082)<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Total Energy (State 2)<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"65179\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Conservation of Energy Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ E_1 = E_2 \\quad\\Longleftrightarrow\\quad \\tfrac{1}{2}mv_1^2 + mgh_1 = \\tfrac{1}{2}mv_2^2 + mgh_2 \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(m\\) \u2014 mass of the object (kg)<\/li>\n<li>\\(v_1\\), \\(v_2\\) \u2014 velocity of the object at state 1 and state 2 (m\/s)<\/li>\n<li>\\(h_1\\), \\(h_2\\) \u2014 height of the object at state 1 and state 2 (m)<\/li>\n<li>\\(g\\) \u2014 gravitational acceleration (9.81 m\/s\\(^2\\) on Earth)<\/li>\n<li>\\(KE = \\tfrac{1}{2}mv^2\\) \u2014 kinetic energy (J)<\/li>\n<li>\\(PE = mgh\\) \u2014 gravitational potential energy (J)<\/li>\n<\/ul>\n<p>This equation states that the total mechanical energy \\(E = KE + PE\\) stays constant when an object moves without friction or air resistance: whatever potential energy is lost during a fall reappears as kinetic energy, and vice versa.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Conservation of Energy \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a 5 kg object is released from rest at a height of 10 m and falls freely to the ground (\\(h_2 = 0\\)). Find its speed just before impact.<\/p>\n<p>\\[ m = 5\\ \\text{kg},\\quad h_1 = 10\\ \\text{m},\\quad v_1 = 0\\ \\text{m\/s},\\quad h_2 = 0\\ \\text{m},\\quad g = 9.81\\ \\text{m\/s}^2 \\]<\/p>\n<p>Energy at state 1 (all potential, since \\(v_1 = 0\\)):<\/p>\n<p>\\[ KE_1 = \\tfrac{1}{2}\\cdot 5 \\cdot 0^2 = 0\\ \\text{J},\\qquad PE_1 = 5 \\cdot 9.81 \\cdot 10 = 490.5\\ \\text{J},\\qquad E_1 = 490.5\\ \\text{J} \\]<\/p>\n<p>Solving the conservation equation for \\(v_2\\):<\/p>\n<p>\\[ v_2 = \\sqrt{\\frac{2\\,(E_1 - mgh_2)}{m}} = \\sqrt{\\frac{2 \\cdot (490.5 - 0)}{5}} = \\sqrt{196.2} \\approx 14.007\\ \\text{m\/s} \\]<\/p>\n<p><strong>Result:<\/strong> the total energy is 490.5 J in both states, and the object hits the ground at \\(v_2 \\approx 14.007\\) m\/s (about 50.4 km\/h).<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Mass (m)<\/strong> of the object and choose the unit (kg or g).<\/li>\n<li>Under <strong>State 1<\/strong>, fill in <strong>Height 1 (h\u2081)<\/strong> and <strong>Velocity 1 (v\u2081)<\/strong> with their units (m or cm for height, m\/s or km\/h for velocity). State 1 is the starting point of the motion.<\/li>\n<li>Under <strong>State 2<\/strong>, enter <strong>Height 2 (h\u2082)<\/strong> \u2014 the point you want to analyze. You can also change the unit of <strong>Velocity 2 (v\u2082)<\/strong>; its value is computed by the calculator, and the unit you pick only sets how the answer is displayed.<\/li>\n<li>Check <strong>Gravitational Acceleration (g)<\/strong>. The default 9.81 m\/s\\(^2\\) applies to Earth; change it for the Moon (1.62) or another body if needed.<\/li>\n<li>Press <strong>Calculate<\/strong>. The calculator shows the total energy at state 1, the velocity at state 2, and the total energy at state 2 \u2014 the two energy values should match, confirming that energy is conserved.<\/li>\n<\/ol>\n<h2>What Is Conservation of Energy?<\/h2>\n<p>The law of conservation of energy is one of the most fundamental principles in physics: energy cannot be created or destroyed, only transformed from one form to another. In mechanics, the two forms that matter most are kinetic energy \u2014 the energy of motion \u2014 and gravitational potential energy, which depends on an object's height above a reference level. Their sum, the mechanical energy, remains constant as long as no energy leaves the system.<\/p>\n<p>A falling object illustrates the idea perfectly. At the top of its path it moves slowly and sits high above the ground, so most of its energy is potential. As it falls, height decreases and speed increases: potential energy converts into kinetic energy at exactly the same rate. At the moment of impact, all the original potential energy has become kinetic energy. Roll a ball up a ramp and the process runs in reverse.<\/p>\n<p>Because the total is fixed, you can predict the speed at any height without knowing the details of the path. A ball thrown straight up, a puck sliding down a frictionless curve, and a pendulum swinging all obey the same equation \u2014 the speed depends only on the energy balance, not on the shape of the trajectory. That is why conservation of energy is such a powerful problem-solving tool: it replaces a detailed force analysis with a simple bookkeeping of energy at two states.<\/p>\n<p>When interpreting the result, remember that both energies are measured relative to the chosen height reference. The calculator treats \\(h = 0\\) as the level where potential energy is zero, and the total energy values are only meaningful relative to that same reference. What must match between the two states is the total, not the individual kinetic or potential parts.<\/p>\n<h2>Assumptions and Limitations<\/h2>\n<ul>\n<li><strong>No friction or air resistance.<\/strong> The calculator assumes a perfectly conservative system. With drag or friction present, the real velocity at state 2 will be lower than the calculated value; for falling through air, see the <a href=\"https:\/\/wpcalc.com\/en\/physics\/terminal-velocity-calculator\/\">Terminal Velocity Calculator<\/a>.<\/li>\n<li><strong>Rigid body, no rotation.<\/strong> Only translational kinetic energy is included. If the object rolls or spins, part of the energy goes into rotation \u2014 the <a href=\"https:\/\/wpcalc.com\/en\/physics\/rotational-kinetic-energy-calculator\/\">Rotational Kinetic Energy Calculator<\/a> covers that case.<\/li>\n<li><strong>Constant gravitational acceleration.<\/strong> The value of \\(g\\) is treated as the same at both heights, which is an excellent approximation near the Earth's surface.<\/li>\n<li><strong>Height reference is arbitrary.<\/strong> You may set \\(h = 0\\) anywhere; only differences in height affect the result. Keep the same reference for both states.<\/li>\n<li>If the numbers you enter imply more energy at state 2 than at state 1 (for example, a higher position <em>and<\/em> a higher speed with no energy input), the term under the square root becomes negative and no physical solution exists \u2014 check your inputs.<\/li>\n<\/ul>\n<h2>Practical Tips<\/h2>\n<ul>\n<li>For a pure free-fall problem, set \\(v_1 = 0\\) and \\(h_2 = 0\\); the answer then equals the classic free-fall speed \\(v = \\sqrt{2gh}\\). The <a href=\"https:\/\/wpcalc.com\/en\/physics\/free-fall-calculator\/\">Free Fall Calculator<\/a> handles the full time-dependent motion.<\/li>\n<li>To find how high a thrown object will climb, set \\(v_2 = 0\\) conceptually by leaving state 2 with a velocity of zero \u2014 enter the launch speed at state 1 and solve for the height where all energy is potential.<\/li>\n<li>The same principle governs pendulum swings and roller-coaster hills; for related motion problems, try the <a href=\"https:\/\/wpcalc.com\/en\/physics\/projectile-motion-calculator\/\">Projectile Motion Calculator<\/a> and the <a href=\"https:\/\/wpcalc.com\/en\/physics\/simple-pendulum-calculator\/\">Simple Pendulum Calculator<\/a>.<\/li>\n<li>Real machines always lose some energy to friction and heat. To quantify how much useful energy survives, use the <a href=\"https:\/\/wpcalc.com\/en\/physics\/mechanical-efficiency-calculator\/\">Mechanical Efficiency Calculator<\/a>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>This calculator applies the conservation of mechanical energy to compare two states of a moving object. Enter the mass, height and velocity at state 1 and the height at state 2 to find the velocity at state 2 and verify that total energy is conserved.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[62],"tags":[91],"class_list":["post-65179","post","type-post","status-publish","format-standard","hentry","category-physics","tag-energy-work"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65179","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=65179"}],"version-history":[{"count":4,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65179\/revisions"}],"predecessor-version":[{"id":66355,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65179\/revisions\/66355"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=65179"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=65179"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=65179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}