Question

prove the law of conservation of momentum with clear explanation diagram and equation
​

Answer 1

Hello friend!

Let the bodies of mass m1 and m2 move with velocities v1 and v2 respectively as shown in the diagram. From equations (3) and (4) Thus, the total momentum of the system before collision = The total momentum of the system after the collision. Thus the law of conservation of momentum is proved.

Answer 2

Explanation:

What would you like to ask?

11th

Physics

Laws of Motion

Newton's Second Law of Motion

State and prove the law of ...

PHYSICS

State and prove the law of conservation of momentum.

MEDIUM

Help best friend

Study later

ANSWER

Law of conservation of momentum states that total momentum of system remains conserved in the absence of external force.

Proof:

Consider a body of mass m1 moving with velocity U1, striking against another body of mass m2 moving with velocity U2.

Let the two bodies remain in contact with each other for a small interval "delta t".

Let F12 be the average force exerted by mass m1 on m2, and let F21 be the force on m2 due to m1.

Let v1 and v2 be the velcoities of two bodies after collision.

Momentum of mass m1 before collision=m1u1

Momentum of mass m2 after collision=m2u2

Momentum of mass m1 after collision=m1v1

By using the definition of impulse, change in momentum of mass m1 is,

(refer figure).

solution