Mechanical energy, heat, and the first law of thermodynamics
The Law of Conservation of Energy states that energy cannot be created or destroyed, only transformed from one form to another. In mechanical systems (no friction), kinetic energy (KE = ½mv²) and gravitational potential energy (PE = mgh) continuously convert between each other while their sum stays constant. At the highest point: all PE, no KE. At the lowest point: all KE, no PE. When friction is present, mechanical energy decreases as some converts to thermal energy (heat). The total energy of the universe remains constant — this is the First Law of Thermodynamics (ΔU = Q - W). Perpetual motion machines are impossible because friction always converts some mechanical energy to heat.
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Sign in →Energy conservation is one of the most powerful ideas in all of science: energy is never created or destroyed, only transformed from one form to another. In this simulation you will watch that principle play out across three setups — a falling object, a swinging pendulum, and a roller coaster. At the top of each path, an object stores energy in the form of gravitational potential energy (PE), like a stretched rubber band waiting to snap. As it falls or swings downward, that stored energy converts into kinetic energy (KE) — the energy of motion. At the very bottom, all PE has become KE and the object moves fastest. Then, as it rises again, KE converts back to PE. Without friction, this swap repeats forever and the total mechanical energy stays constant. Add friction and some energy leaks away as heat — the object rises a little less high each time. This is not energy disappearing; it is mechanical energy transforming into thermal energy. The total energy of the entire system is still conserved. This simulation gives you a bar chart showing PE, KE, and thermal energy at every moment so you can see the transformation happening in real time.
MisconceptionFriction destroys energy, so energy is not really conserved when friction is present.
CorrectFriction does not destroy energy — it converts mechanical energy into thermal energy (heat). If you could measure the tiny temperature increase of the object and its surroundings, you would find exactly as much heat energy gained as mechanical energy lost. Total energy (KE + PE + thermal) is always conserved. The Law of Conservation of Energy has no exceptions; perpetual motion machines fail because friction is unavoidable, not because energy disappears.
MisconceptionA heavier object falls faster and hits the ground with more speed than a lighter one.
CorrectIn the ideal friction-free model, all objects fall with the same acceleration (about 10 m/s squared on Earth) regardless of mass. Galileo demonstrated this around 1590. A bowling ball and a tennis ball dropped from the same height reach the ground at the same time and speed. Mass does affect how much force is needed to stop the object because momentum and kinetic energy both depend on mass, but it does not change the speed gained from the same height in the ideal model.
MisconceptionWhen a pendulum reaches the bottom of its swing, it has no energy.
CorrectAt the very bottom of the swing, the pendulum has zero potential energy (relative to that lowest point) but maximum kinetic energy. Its total mechanical energy is the same as it was at the top — it has simply converted from stored PE to moving KE. The pendulum has the most energy in a useful form for doing work at the bottom, not least energy.
MisconceptionA roller coaster can be designed so that a later hill is taller than the first hill.
CorrectEnergy is lost to friction at every point of the ride. The coaster can never have more kinetic energy than it started with at the top of the first hill. If a later hill were taller, the coaster would not have enough energy to reach the top and would roll back. This is why the first hill in any coaster is always the tallest — it represents the maximum stored energy in the entire ride.
When friction is active, the simulation tracks three energy types: kinetic energy (KE), potential energy (PE), and thermal energy generated by friction. The mechanical energy (KE + PE) does decrease, but the thermal energy increases by the same amount. The total of all three stays constant. Energy conservation means the universe's total energy never changes — it just moves between different forms. The simulation's energy bar chart shows all three bars so you can verify this yourself.
Kinetic energy is energy that an object has because of its motion — a moving ball, a spinning wheel, a flowing river. The faster it moves and the heavier it is, the more KE it carries (KE = 1/2 mv squared). Potential energy is stored energy due to position or configuration — a ball held high up, a compressed spring, a stretched rubber band. Gravitational PE equals mass times gravitational acceleration times height (mgh). The two forms constantly swap in mechanical systems: PE becomes KE as objects fall or speed up, and KE becomes PE as they rise or slow down.
This simulation targets MS-PS3-1 (construct and interpret graphical displays of data to describe the relationships of kinetic energy to the mass of an object and to the speed of an object), MS-PS3-2 (develop a model to describe that when the arrangement of objects interacting at a distance changes, different amounts of potential energy are stored), and MS-PS3-5 (construct, use, and present arguments to support the claim that when the kinetic energy of an object changes, energy is transferred to or from the object). The energy bar chart directly supports all three practices.
A perpetual motion machine would have to run forever without any energy input. But in every real physical system, some mechanical energy is always converted to thermal energy by friction and other dissipative forces. You cannot get that thermal energy back into useful mechanical energy without doing work (that is the Second Law of Thermodynamics). The simulation with Friction Level greater than 0 shows this clearly: the object rises a little less each cycle because energy is steadily transferred into heat. There is no mechanism to stop that process entirely.
Yes, directly. All the gravitational PE at the top converts to KE at the bottom when Friction Level is 0. PE = mgh and KE = 1/2 mv squared, so setting them equal gives v = the square root of (2gh). If you double the height, you get about 41% more speed (not twice as much), because speed depends on the square root of height. Tripling the height multiplies speed by roughly 1.73. You can test this by changing only the Initial Height slider and watching the speed reading at the lowest point.
Use the presets as three quick comparison cases before changing sliders one at a time. Roller Coaster sets a taller height with low friction so students can see PE turn into KE along a track. Pendulum Swing uses a smaller mass, lower height, and no friction to show repeated PE-KE exchange. Ball Drop + Bounce uses low mass and medium friction so students can see each bounce return to a lower height as thermal energy grows. After choosing a preset, change only Mass, Initial Height, or Friction Level to identify which control caused the observed energy change.