Question

22. Prove the law of conservation of linear momentum.

23. State and prove work-energy theorem for a constant force.​

Answer 1

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

Explanation:

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Answer 2

Answer:

22. The rate of change of the total momentum of a system does not change, meaning that quantity is constant, and the providing the principle of rhe conservation of linear mometum: when there is no net external force acting or a system of particles the mometum of the system is conserved.

23.work energy Thereom for constant force Derivation

Fd is work done by the force F to move the object through a distance d... = change in KE of the object.

Explanation:

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