state law of conservation of momentum for me,., also derive its formula?

Question

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Answer 1

LAW OS CONSERVATION OF MOMENTUM
This law states that the sum of the momenta before collison is equal to the sum of momenta after collision,provided no external unbalanced force acts on it.
Let two bodies have mass m1 and m2 moving with a initial velocity u1 and u2 respectively.After collision the first body attains a final vecity v1 and the second body attains the final velocity as v2.
The momentum of the first body and second body before collision is:-
P1=m1u1 P2=m2u2
The momentum of the first body and second body after collision is:-
P1'=m1v1 P2'=m2v2
force exerted by the first body on the second body is
F12=P1'-P1/t
F12=m1v1-m1u1/t
similarly
force exerted by the second body on the first body is
F21=P2'-P2/t
F21=m2v2-m2u2/t
According to newtons third law of motion, the force exerted by the first body on the second body should be equal and opposite.
Thus,
=>F12= -F21
=>m1v1-m1u1/t= -(m2v2-m2u2)/t
=>m1v1-m1u1= -m2v2+m2u2 (by cancelling "t"on both sides)
=>m1v1+m2v2=m1u1+m2u2
=>m1u1+m2u2=m1v1+m2v2
thus,
the total momentum of the two bodies before collision is equal to the total momentum of the two bodies after the collision.
Hence,the momentum of two bodies are conserved,provided no external force acts on it.

Answer 2

Principle Of Conservation Of Momentum

Answer 3

In classical mechanics, momentum (pl. momenta; SI unit kg m/s) is the product of the mass and velocity of an object.

Momentum is a conserved quantity, meaning that the total momentum of any closed system cannot be changed.

The principle of conservation of momentum states that the total amount of momentum of all the things in the universe will never change. One of the consequences of this is that the center of mass of any system of objects will always continue with the same velocity unless acted on by a force outside the system.

Conservation of momentum is a consequence of the homogeneity of space.
In an isolated system (one where external forces are absent) the total momentum will be constant: this is implied by Newton's first law of motion.

"An object at rest or traveling in uniform motion will remain at rest or traveling in uniform motion unless and until an external force is applied."
Uniform motion is defined as constant velocity: a constant speed in an unchanging direction (i.e. a linear path).

This law is also called the law of inertia

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.

A common problem in physics that requires the use of this fact is the collision of two particles. Since momentum is always conserved, the sum of the momentum before the collision must equal the sum of the momentum after the collision:

m1v1i +m2v2i =m1v1f +m2v2f

where the subscript i signifies initial, before the collision, and f signifies final, after the collision

Answer 5

I don't understand exactly what you mean but i think you refer to that formula that derives from Langvin's derivation:
t=t'*square root(1-v*v/c*c);
t=delta time in the normal Gaussian coordinate system;
t'=resultant difference of time;
v=speed;
c=speed of light;(300000 m/s)

Answer 6

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Answer 7

according to this law sum of momentum of two bodies before collision is equal to sum of their momentum after collision.
DERIVATION
consider a body of mass (m1) ,moving with initial velocity (u1), when force (f1) is applied to it by 2nd body it's velocity becomes v1 .
consider a 2nd body of mass(m2) , moving with initial velocity(u2) . when force (f2) is applied to it by 1st body it's velocity becomes v2.
the time taken is (t)
WHEN THEY COLLIDE
f1=m1(v1-u1)/t

f2=m2(v2-u2)/t
ACCORDING TO NEWTON'S 3RD LAW

f1= -f2

m1(v1-u1)/t = -[ m2(v2-u2)/t]

m1v1 - m1u1 = -(m2v2-m2u2) [eliminating t]

m1v1 - m1u1 = -m2v2 +m2u2

m1v1+m2v2 = m2u2 + m1u1

now since momentum=mv
hence ,
sum of initial momentum = sum of final momentuM