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Idea: Force is a vector, work and energy are scalars. Thus, it is often easier to solve problems using energy considerations instead of using Newton's laws (i.e. it is easier to work with scalars than vectors).
Definition: The kinetic energy ( KE ) of an object of mass m
that
is moving with velocity v is:
KE = mv^{ 2}. | (1) |
Relation bewteen KE and W: The work done on an object by a net force
equals
the change in kinetic energy of the object:
W = KE_{f} - KE_{i}. | (2) |
Proof (for parallel to ):
Note:
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