Elastic collision

Formula

General : Define recovery coefficient E = (V ' ₂ -v' _{1 1} >) / (V ₁ -v ₂ ), if only the altitude collision is considered, the relative speed is opposite to each other because there is a relative speed before the collision collision, there is V ' ₂ -v ' ₁ = - E (V ₁ -v ₂ ) (1)

Using the definition of zero and relative speed using a degree of magistrate, it is easy to introduce a speed expression after collision in a cuspcle. Finally, it is easy to get a collision speed after the expression in the expression:

Take E = 1 to obtain a speed expression after complete elastic collision.

Using the recovery factor E = (V ' ₂ -v' ₁ ) / (v _{1 < / sub> -v 2 ) and momentum conservation law can derive the speed formula after the elastic collision:}

If the recovery coefficient is equal to 1, there is a formula:

Motorcycle Conservation Law Formula:

Putting two formulas to solve the equation:

< P>

or, regressing high school physics : Set two object quality

, Collision Speed ​​

. For complete flexible collisions: two objects collision speed

can be simply exported by momentum conservation and energy conservation law:

momentum conservation:

Energy Conservation Law:

Two objects collision speed:

Note: Speed ​​

is vector.

Properties

The following formula can be obtained as the following properties:

1. (only the core collision)

: two objects Before the collision, the relative speed is equal to the opposite direction.

2. Total momentum

and total energy

unchanged: The vector and energy of the momentum are unchanged before and after the two objects collide.

3. If

is equal,

and

: If the two objects are the same, the speed size direction is interchanged.

Other

The type of collision is also: completely elastic collision, non-elastic collision, completely non-elastic collision.