Question

Q 5 Mathematically show that during collision of two balls total momentum of the system remains unchanged.​

Answer 1

Answer:

The sum of momenta of the objects before the collision is equal to tbe sum of momenta after the collision. thus, there is no external unbalanced force acting on them. This law can be written as the total momentum of the two objects is unchanged or conserved by the collision.

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Answer 2

Mathematically show that during collision of two balls total momentum of the system remains unchanged

The law of conservation of momentum states that the total momentum of a closed system remains constant, provided no external forces act on the system.

Mathematically, this can be shown as follows:

Let ball 1 have mass m1 and velocity v1, and ball 2 have mass m2 and velocity v2.

Before the collision, the total momentum of the system is given by:

$P_initial = m1 * v1 + m2 * v2$

After the collision, the final velocities of the balls (v1' and v2') are determined by the type of collision (elastic or inelastic)

. However, regardless of the type of collision, the total momentum of the system remains constant, meaning that:

$P_final = m1 * v1' + m2 * v2' = P_initial$

Thus, the law of conservation of momentum states that the total momentum of a system remains unchanged during a collision, provided no external forces are acting on the system.

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