A perfectly elastic collision has a coefficient of restitution of one; a perfectly inelastic collision has a coefficient of restitution of zero.
2.
It is number between 0 and 1; it takes the value 1 for perfectly elastic collisions and 0 for perfectly inelastic collisions.
3.
Of course, as noted previously, this is just in theory ( a perfectly inelastic collision ), while, in reality, the bigger vehicle might roll over, etc . StuRat 22 : 42, 18 May 2007 ( UTC)
4.
So, it is necessary to be careful of being in uniform motion, not at rest in the law of inertia for the united body in case of causing a perfectly inelastic collision by unbalanced action forces of the two bodies.
5.
Two years later, Maupertuis cites Euler's 1744 work as a " beautiful application of my principle to the motion of the planets " and goes on to apply the principle of least action to the lever problem in mechanical equilibrium and to perfectly elastic and perfectly inelastic collisions ( see the 1746 publication below ).
6.
To illustrate, the figure at right with log-log axes shows objects with the same kinetic energy ( horizontally related ) that carry different amounts of momentum, as well as how the speed of a low-mass object compares ( by vertical extrapolation ) to the speed after perfectly inelastic collision with a large object at rest.