What is the general formula for the law of conservation of momentum.?

Question

Please don't bother responding if your answer is that there is no formula because I don't believe it. Given the classic biliards ball setup, if two balls are approaching collision, both are moving (neither initial velocity equals zero) and neither ball is at rest. The resulting directions and velocities are unknown and that's what I want to find out. Can anyone help? Ahh, I've just realized that the path of one of the balls could be the x-axis could help, I'll think about that on the drive home. Can anyone help?

Answer 1

There is an easy explanations and formula in this link:
http://en.wikipedia.org/wiki/Momentum

Answer 2

Easy,

Momentum is found by multiplying the mass of an object by its velocity. The momentum before collision and after collision is the same;
P1 = P2
m1v1 = m2v2.

In the case of the biliard balls, you need to calculate the momentum of both balls before the collision, both magnitude and direction. Express the paths of the balls as vectors, and draw a vector diagram to find the resulting velocities. (velocity includes direction)

Answer 3

when the two or more balls collide then there will be a change in momentum, due to the change in momentum only the ball will move in different direction than the initial direction of the ball.

coming to CONSERVATION OF MOMENTUM

IF the momentum before collission of balls= the momentum after collision of the balls
IF thiz condition happens means the ball will reach a final position i.e the ball will be @ rest or in slow motion

i.e when collision appears between to balls if the velocity is completely shared by balls then there will be no motion of the ball hence momentum is conserved

if the velocity is not shared equally by the balls means then there will be motion in a different direction than the initial direction i.e momentum is not conserved

Answer 4

The total momentum of an isolated system does not change. (Law of Conservation of Momentum) Another way of stating this is that the initial momentum of an isolated system is equal to its final momentum.
For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision. That is, the momentum lost by object 1 is equal to the momentum gained by object 2.
VR

Answer 5

The formula is
mv=m'v' with the formula written as a pair of vectors.

for the billiard balls. The seconf one is a at rst initially(zero velocity) and the balls are equal mass so the formula translates to:
m1v1+m2v2=m1v3+m2v4 or
2m(v1+v2)=2m(v3+v4) with the v's expressed as vectors. In other words, they have x, y and z components. On a pool table z = zero.

Answer 6

Check Out The following sites for clear explanation of law of consevation of momentum..