Prove the law of conservation of linear momentum.use it to find the recoil velocity of a gun when a bullet is fired from it.
Answers
Answer:
When a bullet is fired from a gun, the gun recoils, i.e., moves in a direction opposite to the direction of motion of the bullet. The recoil velocity of the gun can be calculated from the principle of conservation of linear momentum. ... Therefore, linear momentum before firing equal to zero.
Explanation:
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.
Momentum is the motion contained in a body. Quantity of motion possessed by a body depends upon both of its mass and velocity. So the product of mass and velocity is the measure of the momentum,
Linear Momentum Formula
It is also called linear momentum. It is a vector quantity whose direction is in the direction of the velocity. Its unit is kg m/s is SI-units and dimension, [M L T-1].
When there is change in the momentum of a given body, there is change in its velocity, i.e. there is acceleration. According to Newton's first law of motion, the change in motion is produced by external force. So there is a relation between the change in momentum and the force.
time rate of change of momentum of A
∆p1/t= m1(v1-u1) /t
similarly for Being
∆p2/t=m2(v2-u2)/t
but from third law of motion
∆p1=∆p2
so
m1(v1-u1)/t=m2(v2-u2) /t
m1v1-m1u1=m2v2-m2u2
m1u1+m2u2=m1v1+m2v2
hence proved