state the prove principle of consideration of linear momentum
Answers
Answer:
According to Newton's third law of motion, the force experienced by A and B are equal and opposite, or, That is, total momentum before collision is equal to total momentum after collision if no external forces act on them which proves the principle of conservation of linear momentum.
Answer:
Statement:
According to the law of conservation of linear momentum, for an object or system of objects, the total momentum of the system is always conserved if no external force acts on them
The unit of kg.m.s-1 and the dimensional formula is MLT-1. The mathematical representation of the law of conservation of linear momentum is given as:
m1u1 + m2u2 = m1v1 + m2v2
Proof:
Consider collision between two balls. The momentum of these two balls before collision is given as:
P1i = m1u1
P2i = m2u2
The total momentum of the balls before the collision is given as:
Pi = P1i + P2i
Pi = m1u1 + m2u2
F12 is the force exerted by the m1 during the collision on m2.
F21 is the force exerted by the m2 during the collision on m1.
Therefore, F12 = F21
There is a change in the velocity of these balls after the collision which is given as:
P1f = m1v1
P2f = m2v2
The total momentum of the balls after the collision is given as:
Pf= P1f + P2f
Pf= m1v1 + m2v2
From Newton’s second law:
Force = Change in momentum / time interval
F12 = m2v2 – m2u2 / t
F21 = m1v1 – m1u1 / t
From Newton’s third law:
F12 = F21
Therefore, we get:
m1u1 + m2u2 = m1v1 + m2v2
please mark as brainiest