Question

law of conservation of momentum

Answer 1

Hlo

HERE IS UR ANSWER..

◆◆It states that if no external force applied on the system of the body then total momentum is constant.

Answer 2

Here is the answer ...

Momentum

Momentum is the product of mass and velocity of an object.
Momentum is a vector quantity.

Suppose an object A has mass 'm1' and it's initial velocity is 'u1'.

An object B has mass 'm2' and it's initial velocity as 'u2'.

According to the formula for momentum, the
initial momentum of A is "m1 u1" and that of B is "m2u2".

Suppose these objects collide.
Let the force on A due to B be F1.
This force will cause acceleration in A and it's velocity will become "v1".

Momentum of A after collision = "m1v1"

According to Newton's third law of motion, 'A'
also exerts force in 'B' but in the opposite direction. This will cause a change in the momentum of "B".
It its velocity after collision is v2,
The Momentum of B after collision= m2v2.

If F2 is the force that acts on object B,
F2 = - F1

Therefore,
m2 a2 = - m1 a1 .... {F = ma}

Hence, after derivation, we get,
(m2 v2 + m1 v1) = (m1 u1 + m2 u2)

The magnitude of total final momentum =
The magnitude of total initial momentum.

When two external force acts on two interacting objects , their total momentum remains constant. It does not change.

$\text{When two objects collide,} \\ \text{the total momentum before} \\ \text{collision = Total momentum} \\ \text{ after collision.}$


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