Download PDF by Benjamin Crowell: Conservation laws 2
By Benjamin Crowell
Conservation legislation. Physics textbook. includes bankruptcy 1 - Conservation of power, bankruptcy 2 - Simplifying the strength Zoo, bankruptcy three - paintings: The move of Mechanical strength, bankruptcy four - Conservation of Momentum, bankruptcy five - Conservation of Angular Momentum, options to chose difficulties, and thesaurus
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Extra info for Conservation laws 2
E. heat was nothing more than the kinetic energy of atoms. A second and even greater simplification was achieved with the realization that all the other apparently mysterious forms of energy actually had to do with changing the distances between atoms (or similar processes in nuclei). This type of energy, which relates to the distance between objects that interact via a force, is therefore of great importance. We call it potential energy. Most of the important ideas about potential energy can be understood by studying the example of gravitational potential energy.
Use the equation W=GMm r1 – r1 2 1 derived in the previous section to find the potential energy, using r=∞ as a reference point. Solution: The potential energy equals minus the work that would have to be done to bring the object from r1 = ∞ to r = r2, which is PE = – GMm r . This is simpler than the equation for the work, which is an example of why it is advantageous to record an equation for potential energy relative to some reference point, rather than an equation for work. Although the equations derived in the previous two examples may seem arcane and not particularly useful except for toy designers and rocket scientists, their usefulness is actually greater than it appears.
The graph shows the force between the carbon 8 nucleus and the proton as the proton is on its way in, 7 with the distance in units of femtometers (1 fm=10-15 m). Amusingly, the force turns out to be a few newtons: on 6 the same order of magnitude as the forces we encounter 5 ordinarily on the human scale. ). 2 Why does the force have a peak around x=3 fm, and 1 become smaller once the proton has actually merged with the nucleus? At x=3 fm, the proton is at the edge of 0 0 1 2 3 4 5 6 7 the crowd of protons and neutrons.
Conservation laws 2 by Benjamin Crowell