one that cannot be created or destroyed, but may be transformed between different forms of itself
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energy conservation
total energy of an isolated system is constant
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equilibrium point
position where the assumed conservative, net force on a particle, given by the slope of its potential energy curve, is zero
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exact differential
is the total differential of a function and requires the use of partial derivatives if the function involves more than one dimension
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mechanical energy, E
sum of the kinetic and potential energies
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non-conservative force
force that does work that depends on path
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potential energy, U
function of position, energy possessed by an object relative to the system considered
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potential energy diagram
graph of a particle's potential energy as a function of position
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potential energy difference, ΔU
negative of the work done acting between two points in space
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turning point
position where the velocity of a particle, in one-dimensional motion, changes sign
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zero
Since only differences of potential energy are physically meaningful, the __________ of the potential energy function can be chosen at a convenient location
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independent, zero
A conservative force is one for which the work done is __________ of path. Equivalently, a force is conservative if the work done over any closed path is __________
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depends
A non-conservative force is one for which the work done __________ on the path.