{"id":1972,"date":"2022-08-30T13:19:08","date_gmt":"2022-08-30T13:19:08","guid":{"rendered":"https:\/\/blog.praxilabs.com\/?p=1972"},"modified":"2025-10-19T18:21:07","modified_gmt":"2025-10-19T18:21:07","slug":"law-of-conservation-of-energy","status":"publish","type":"post","link":"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/","title":{"rendered":"Law of Conservation of Energy: Principle, Definition, Formula, and Examples"},"content":{"rendered":"<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">On a cold night, how do you interpret the feeling of warmth you feel after rubbing your hands together?<br \/>\n<\/span><span style=\"font-weight: 400;\">How do you explain your coach\u2019s strict instructions to eat a meal that gives you energy before exercising?<br \/>\n<\/span><span style=\"font-weight: 400;\">For a light bulb to glow and emit its light, how do you describe its principle of work?<\/span><\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Many questions around everyday\u2019s spontaneous actions and phenomena we witness can be clarified and explained using the physics laws and principles that govern them. Usually, the answers are quite basic and simple. The answer to our starter questions is very basic, yet dynamic: it is the law of conservation of energy.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In this article, the law of conservation of energy will be fully introduced. From its definition, formula, to everyday examples, its principle of work and how to differentiate between the various types of conservation of energy laws in physics\u2026 are you ready?<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><strong><a class=\"maxbutton-3 maxbutton\" href=\"https:\/\/praxilabs.com\/en\/virtual-physics-lab\"><span class='mb-text'>Check Praxilabs Virtual Physics Labs Now<\/span><\/a><\/strong><\/span><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\r\n<div class=\"ez-toc-title-container\">\r\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\r\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\r\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#What_are_the_3_laws_of_conservation_of_energy\" >What are the 3 laws of conservation of energy?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Law_of_Conservation_of_Linear_Momentum\" >Law of Conservation of Linear Momentum<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Law_of_Conservation_of_Angular_Momentum\" >Law of Conservation of Angular Momentum<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Principle_of_Conservation_of_Energy\" >Principle of Conservation of Energy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Conservation_of_Energy_Formula\" >Conservation of Energy Formula<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Check_your_understanding\" >Check your understanding!<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Conservation_of_Energy_Examples\" >Conservation of Energy Examples<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#law_of_conservation_of_energy_example\" >law of conservation of energy example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/praxilabs.com\/en\/blog\/2022\/08\/30\/law-of-conservation-of-energy\/#Example_of_Conservation_of_Energy\" >Example of Conservation of Energy<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\r\n<h2><span class=\"ez-toc-section\" id=\"What_are_the_3_laws_of_conservation_of_energy\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>What are the 3 laws of conservation of energy?<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">If it is not your first time to hear the term \u201claw of conservation\u201d or \u201cconservation of energy\u201d, then it might still be your first time to know that there are three different types of conservation laws. So, what are the 3 laws of conservation of energy?<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">Not just three but many of the quantities in physics are considered to be <\/span><b>conserved. <\/b><span style=\"font-weight: 400;\">In mechanics, 3 quantities are conserved, and they remain as such even when relativistic mechanics or quantum mechanics are applied. The quantities are:<\/span><\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Energy.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Angular momentum.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Linear momentum.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">A <\/span><i><span style=\"font-weight: 400;\">conservation law <\/span><\/i><span style=\"font-weight: 400;\">is a principle that states that:<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">\u201cIf in an <\/span><b>isolated physical system, <\/b><span style=\"font-weight: 400;\">a certain physical quantity does <\/span><b>not <\/b><span style=\"font-weight: 400;\">change with time.\u201d<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Without the urge of considering the microscopic details of chemical reactions or physical processes, conservation laws are vital in studying physics and its phenomena as it helps predict the various macroscopic behavior of the systems in study.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Law_of_Conservation_of_Linear_Momentum\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Law of Conservation of Linear Momentum<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">While the law of conservation of energy is our main interest in this article, we shall briefly define the other two laws. In physics, linear momentum is a frequently used vector quantity. Add to that it is a conserved one as well.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">The law of conservation of linear momentum connects both the force and the momentum. It states that:<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><i><span style=\"font-weight: 400;\">\u201cFor an object or more, in an isolated system, the momentum remains constant if the net external force acting on the system is equal to zero.\u201d<\/span><\/i><\/span><\/p>\n<figure id=\"attachment_5083\" aria-describedby=\"caption-attachment-5083\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5083 size-medium\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-2-300x218.webp\" alt=\"illustration of the law of conservation of energy\" width=\"300\" height=\"218\" srcset=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-2-300x218.webp 300w, https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-2.webp 521w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-5083\" class=\"wp-caption-text\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\">The pendulum as a representation of the law of conservation of energy <span style=\"font-weight: 400;\">(Source: <\/span><a href=\"https:\/\/www.tcm.phy.cam.ac.uk\/~jsb56\/resources\/energymomentumhandout.pdf\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">University of Cambridge Summer Programme 2016<\/span><\/a><span style=\"font-weight: 400;\">)<\/span><\/span><\/figcaption><\/figure>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Mathematically speaking, the previous statement is given as follows:<\/span><\/p>\n<p><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1975 aligncenter\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2022\/08\/equation-of-the-law-of-conservation-of-linear-momentum.png\" alt=\"\" width=\"234\" height=\"81\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400; font-family: tahoma, arial, helvetica, sans-serif;\">This law is pivotal in describing objects\u2019 collisions in isolated systems, where the total momentum before the collision is equal to that after it. Momentum\u2019s S.I. unit is kilogram per second (kgm\/s), or Newton times second (N.s).<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><strong><a class=\"maxbutton-3 maxbutton\" href=\"https:\/\/praxilabs.com\/en\/sign-up\"><span class='mb-text'>Create An Account To Try Praxilabs Physics Experiments<\/span><\/a><\/strong><\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Law_of_Conservation_of_Angular_Momentum\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Law of Conservation of Angular Momentum<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">The law of conservation of angular momentum states that:<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><i><span style=\"font-weight: 400;\">\u201cFor a subject when no external torque acts on it, no change of angular momentum will occur.\u201d<\/span><\/i><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">This law is proved mathematically to be right. It is given by the equation:<\/span><\/p>\n<figure id=\"attachment_1974\" aria-describedby=\"caption-attachment-1974\" style=\"width: 202px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1974\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2022\/08\/law-of-conservation-of-angular-momentum.jpg\" alt=\"law of conservation of energy\" width=\"202\" height=\"90\" \/><figcaption id=\"caption-attachment-1974\" class=\"wp-caption-text\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\">Mathematical equation of the law of conservation of energy<\/span><\/figcaption><\/figure>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">where<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>l:<\/b><span style=\"font-weight: 400;\"> the angular momentum vector.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>r:<\/b><span style=\"font-weight: 400;\"> the radius of the object.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>p:<\/b><span style=\"font-weight: 400;\"> the object\u2019s linear momentum vector.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>m:<\/b><span style=\"font-weight: 400;\"> the mass of the object.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>v: <\/b><span style=\"font-weight: 400;\">the object\u2019s velocity vector.<\/span><\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Thanks to this conservation law, our earth is still rotating about its axis until now since the time it was formed! You can read out more in this article: 20 Examples of <a href=\"https:\/\/praxilabs.com\/en\/blog\/2021\/12\/19\/examples-of-law-of-inertia\/\">Law of Inertia<\/a> in Everyday Life.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Principle_of_Conservation_of_Energy\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Principle of Conservation of Energy<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">Side by side with Newton\u2019s laws, the laws of conservation of mechanical energy and momentum are a key to grasping and understanding almost all our earthly physics. Energy in this context refers to the <\/span><b>total energy <\/b><span style=\"font-weight: 400;\">of the isolated system. This energy can be gravitational, heat, kinetic, potential\u2026etc. <\/span><\/span><\/p>\n<figure id=\"attachment_5086\" aria-describedby=\"caption-attachment-5086\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5086 size-medium\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-5-300x262.webp\" alt=\"what are the types of conversion of energy\" width=\"300\" height=\"262\" srcset=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-5-300x262.webp 300w, https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-5.webp 768w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-5086\" class=\"wp-caption-text\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\">Types of energy conversion<span style=\"font-size: 10pt;\">\u00a0<span style=\"font-weight: 400;\">(Source: <\/span><a href=\"https:\/\/byjus.com\/physics\/energy-conversion\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Energy Conversion &#8211; Byjus<\/span><\/a><span style=\"font-weight: 400;\">)<\/span><\/span><\/span><\/figcaption><\/figure>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">Note that energy can not be created nor destroyed. Instead, it can be transformed from one form to another. The law of conservation of energy\u2014as well as every other conservation law\u2014deals with <\/span><b>isolated <\/b><span style=\"font-weight: 400;\">systems. Thus, the total energy of the system remains <\/span><b>constant.<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">The law of conservation of energy definition is given as:<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><i><span style=\"font-weight: 400;\">\u201cIn a closed isolated system, the system\u2019s total energy is conserved.\u201d<\/span><\/i><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Conservation_of_Energy_Formula\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Conservation of Energy Formula<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Since this law deals with the total energy of the system, this amount is determined by:<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><strong>U<sub>T <\/sub>= U<sub>i <\/sub>+ W + Q<\/strong><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">where<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>U<\/b><sub><b>T<\/b><\/sub><b>:<\/b><span style=\"font-weight: 400;\"> the system\u2019s total internal energy.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>U<\/b><sub><b>i<\/b><\/sub><b>: <\/b><span style=\"font-weight: 400;\">the system\u2019s initial internal energy.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>W: <\/b><span style=\"font-weight: 400;\">the work done by or on the system.<\/span><\/span><\/li>\n<li><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>Q: <\/b><span style=\"font-weight: 400;\">the heat added to the system, or removed from it.<\/span><\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">The conservation of energy equation can also be written in the form of:<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><strong>U = W + Q<\/strong><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">This also represents the statement of the first law of thermodynamics.<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">Einstein\u2019s 20<\/span><span style=\"font-weight: 400;\">th<\/span><span style=\"font-weight: 400;\"> century life-changing equation of mass-energy equivalence is another evidence that energy cannot be created nor destroyed. The famous equation states that:<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><strong>E=mc<sup>2<\/sup><\/strong><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">where<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>E:<\/b><span style=\"font-weight: 400;\"> the amount of energy in the object\/system,<br \/>\n<\/span><b>m: <\/b><span style=\"font-weight: 400;\">the mass of the object\/system, and<br \/>\n<\/span><b>c: <\/b><span style=\"font-weight: 400;\">the speed of light, that is equal to 3*10<\/span><sup><span style=\"font-weight: 400;\">8<\/span><\/sup><span style=\"font-weight: 400;\"> m\/s.<\/span><\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Check_your_understanding\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Check your understanding!<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">For a better comprehension, reflect on the following example in order to know how conservation of energy can describe objects\u2019 movement.<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-weight: 400;\">With gravitational acceleration equals 1.625 m\/s<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">, consider a golfer, or an astronaut striking a golf ball on the moon. The ball leaves the club at <\/span><span style=\"font-weight: 400;\">45<\/span><span style=\"font-weight: 400;\">to the lunar surface, and traveling at 20 m\/s horizontally and vertically.<\/span><\/span><\/p>\n<p><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><span style=\"font-size: 14pt;\"><b>How high would the golf ball go? <\/b><\/span><span style=\"font-weight: 400;\"><span style=\"font-size: 14pt;\">Knowing that the total velocity is 28.28 m\/s.<\/span><br \/>\n<\/span><\/span><\/p>\n<p><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Solution!\u00a0<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">We first start by writing down the mechanical energy expression, that is given by:<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1977 aligncenter\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2022\/08\/solution-1.png\" alt=\"mechanical energy expression\" width=\"245\" height=\"57\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">From the law of conservation of energy, both the masses cancel out thus we can determine and obtain the height (h), as follows:<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1978 aligncenter\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2022\/08\/solution-2.png\" alt=\"obtaining height from the law of conservation of energy\" width=\"275\" height=\"223\" \/><\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\"><b>Conclusion! <\/b><span style=\"font-weight: 400;\">Our steps towards solving this problem would have been much more difficult if we only used kinetic equations. But thanks to the law of conservation of energy, the solution was as direct as we made it.<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><strong><a class=\"maxbutton-3 maxbutton\" href=\"https:\/\/praxilabs.com\/en\/pricing\"><span class='mb-text'>For FREE! Try All Virtual Experiments You Need!<\/span><\/a><\/strong><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Conservation_of_Energy_Examples\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><b>Conservation of Energy Examples<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Almost everything around us includes forms of energy conservation, while many inventions and applications of physics and engineering rely on this fact.\u00a0<\/span><\/p>\n<figure id=\"attachment_5089\" aria-describedby=\"caption-attachment-5089\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5089 size-medium\" src=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-8-300x268.webp\" alt=\"Types of batteries are example of law of conservation of energy\" width=\"300\" height=\"268\" srcset=\"https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-8-300x268.webp 300w, https:\/\/praxilabs.com\/en\/blog\/wp-content\/uploads\/2025\/08\/Law-of-Conservation-of-Energy-8.webp 310w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-5089\" class=\"wp-caption-text\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\">The different types of batteries are one application of the law of conservation of energy <span style=\"font-weight: 400;\">(Source: <\/span><a href=\"https:\/\/www.theengineeringknowledge.com\/types-of-battery-working-rating-applications\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">The Engineering Knowledge<\/span><\/a><span style=\"font-weight: 400;\">)<\/span><\/span><\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"law_of_conservation_of_energy_example\"><\/span><span style=\"font-weight: 400; font-family: tahoma, arial, helvetica, sans-serif;\">law of conservation of energy example<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In Physics, most of the inventions rely on the fact that energy is conserved when it is transferred from one form to another. A number of electrical and mechanical devices operate solely on the law of conservation of energy. We will discuss a few examples here.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In a torch, the chemical energy of the batteries is converted into electrical energy, which is converted into light and heat energy.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In hydroelectric power plants, waterfalls on the turbines from a height. This, in turn, rotates the turbines and generates electricity. Hence, the potential energy of water is converted into the kinetic energy of the turbine, which is further converted into electrical energy.<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In a loudspeaker, electrical energy is converted into sound energy.<\/span><\/li>\n<li><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In a microphone, sound energy is converted into electrical energy.<\/span><\/li>\n<li><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">In a generator, mechanical energy is converted into electrical energy.<\/span><\/li>\n<li><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">When fuels are burnt, chemical energy is converted into heat and light energy.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">Chemical energy from food is converted to thermal energy when it is broken down in the body and is used to keep it warm.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Example_of_Conservation_of_Energy\"><\/span><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><strong>Example of Conservation of Energy<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">If a stick of dynamite explodes, for example, the chemical energy contained within the dynamite changes into kinetic energy, heat, and light. If all this energy is added together, it will equal the starting chemical energy value.<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: tahoma, arial, helvetica, sans-serif;\">The physics experiments and applications based on the law of conservation of energy are many, with versatile range of lab experiments that can be conducted. Without the need to visit a real physics lab, online virtual labs can solve the hassle. Virtual simulators, i.e. PraxiLabs, can help you conduct your experiments, and see the magic work.<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: tahoma, arial, helvetica, sans-serif;\"><a href=\"https:\/\/praxilabs.com\/\"><span style=\"font-size: 14pt;\"><strong>Join PraxiLabs science family for FREE!<\/strong><\/span><\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>On a cold night, how do you interpret the feeling of warmth you feel after rubbing your hands together? How do you explain your coach\u2019s strict instructions to eat a meal that gives you energy before exercising? For a light bulb to glow and emit its light, how do you describe its principle of work? &hellip;<\/p>\n","protected":false},"author":11,"featured_media":4528,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1972","post","type-post","status-publish","format-standard","has-post-thumbnail","","category-virtual-learning"],"modified_by":"Muhamed Elmesery","_links":{"self":[{"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/posts\/1972","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/comments?post=1972"}],"version-history":[{"count":10,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/posts\/1972\/revisions"}],"predecessor-version":[{"id":5438,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/posts\/1972\/revisions\/5438"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/media\/4528"}],"wp:attachment":[{"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/media?parent=1972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/categories?post=1972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/praxilabs.com\/en\/blog\/wp-json\/wp\/v2\/tags?post=1972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}