Question

describe the law of conservation of momentum

Answer 1

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Answer 2

Momentum Conservation Principle:

• For two or more bodies in an isolated system acting upon each other, their total momentum remains constant unless an external force is applied.
• Therefore, momentum can neither be created nor destroyed.

Derivation of Conservation of Momentum:

• Newton’s third law states that for a force applied by an object A on object B, object B exerts back an equal force in magnitude, but opposite in direction.
• This idea was used by Newton to derive the law of conservation of momentum.

Consider two colliding particles A and B whose masses are m1 and m2 with initial and final velocities as u1 and v1 of A and u2 and v2 of B. The time of contact between two particles is given as t.

$A=m_{1}\left(v_{1}-u_{1}\right)$

(change in momentum of particle A).

$B=m_{2}\left(v_{2}-u_{2}\right)$

(change in momentum of particle B).

$F_{B A}=-F_{A B}$

(from third law of motion).

$F_{B A}=m_{2} * a_{2}=\frac{m_{2}\left(v_{2}-u_{2}\right)}{t}\\ F_{A B}=m_{1} * a_{1}=\frac{m_{1}\left(v_{1}-u_{1}\right)}{t} \\ \frac{m_{2}\left(v_{2}-u_{2}\right)}{t}=\frac{-m_{1}\left(v_{1}-u_{1}\right)}{t}$

$m_{1} u_{1}+m_{2} u_{2}=m_{1} v_{1}+m_{2} v_{2}$

Therefore, above is the equation of law of conservation of momentum where.

$m_{1} u_{1}+m_{2} u_{2}$

is the representation of total momentum of particles A and B before the collision and.

$m_{1} v_{1}+m_{2} v_{2}$

is the representation of total momentum of particles A and B after the collision.

Examples of Law of Conservation of Momentum:

Following are the examples of law of conservation of momentum:

• Air-filled balloons.
• System of gun and bullet.
• Motion of rockets.

Learn more about  law of conservation of momentum here,

https://brainly.in/question/8899854?msp_poc_exp=5

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