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The Law of Conservation of Energy states that:
    "Energy can neither be created nor destroyed, but can only be changed
    from one form to another."
 

    On this page you can learn about energy, different types of energy, and how energy can change from one form to another.

    The idea of this such law existing started back it the days of Galileo and Francis Bacon.  They thought that the universe had a fixed amount of total energy.   According to many we have the principle of the conservation of energy virtually formulated for the first time in Newton's developing of  his third law of motion (action and reaction are equal and opposite).  Since many papers were sent to the Royal Scientific Society of Copenhagen, by different scientists,  no one man can be described as the father of the doctrine of the Conservation of Energy.
    In order to understand the Law of Conservation of Energy, you must first know the two types of energy and how they relate.  Energy is the ability to do work.  There are two basic types of energy, kinetic energy and potential energy.  Kinetic energy is defined as energy that is in motion, potential energy is defined as stored energy, or energy waiting to be released.  The power of doing work in the former case is due to the actual motion possessed by the body, e.g. a cannon-ball on it's course, or a swinging pendulum. Potential energy, on the other hand, is exemplified by a wound-up spring, or by the bob of a pendulum when at its highest point; as the bob swings upwards its velocity and kinetic energy continuously diminish, while its potential energy is increasing. When at its highest point its potential energy is at a maximum, and its kinetic is nil. Conversely, when, moving downwards, it reaches its lowest point,
it will have recovered its maximum kinetic energy, while its potential will have vanished.

    This law states that "energy can not be created nor destroyed."  This means that if an object has a certain amount of energy it can only lose energy if that energy is transferred to a different object.  Newton's Cradle is a perfect example of this law(see Picture).  The end ball is pulled back and let go, when it collides with the other balls the energy is transferred, because it can't be destroyed, through the other balls.  Because the energy is transferred the ball on the other end receives the energy and is flung in to the air.  It should reach the same height as the first ball started at.
 
 
 
 

    The law is demonstrated in the equation MGH=1/2MV^2, where M=mass(grams), G=gravity(9.8meters per second squared), H=Height(meters), and V=Velocity(meters per second).  The equation can be used to determine any of the variables given the right information.  You can use it to find the velocity,V, of an object that has a mass of 1 g held at a height of 10m. (1g)(9.8m/s^2)(10m)=1/2(1g)V^2.  You can solve the equation to get a velocity of 14m/s.
                         98 = .5V^2
                       196 = V^2
                          V = 14m/s
you can also use it to solve for the height of an object,
if you were told that an object weighing 1 gram was dropped from a unknown height.  The ball had a velocity of 14 meters per second.  you could then solve for the height as shown below.
    (1g)(9.8m/s^2)H=1/2(1g)(14m/s)^2
                     9.8H=98
                          H=10m
Or to solve for the gravity if you were on a different planet or the moon.
if you were given that a 1 gram object was dropped from a height of 10 meters.  It had a velocity of 14 meters per second, solve for the gravity on the planet.
    (1g)G(10m)=1/2(1g)(14m/s)^2
               10G=98
                  G=9.8
 

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