What is change in momentum in perfectly elastic collision?
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An elastic collision means that the over all kinetic energy of the entire system before and after the collision is the same.
So the ball can bounce off the wall, and the wall can recoil in such a manner that you have an elastic collision.
Momentum is conserved in magnitude and direction. So in order to analyze any situation of momentum conservation, you should always start with
∑pi=∑p
where the subscripts denote the initial and final momenta.
As to the ball & wall, you are correct that momentum is not conserved if you are only looking at the ball.
If you consider that the system includes the wall, then the momentum conservation holds. This does mean that the wall contains a momentum of 2mv2mv (for mass mm and velocity vv). But note that since the mass of the wall is incredible compared to the ball, the velocity is notably imperceptible!
So the ball can bounce off the wall, and the wall can recoil in such a manner that you have an elastic collision.
Momentum is conserved in magnitude and direction. So in order to analyze any situation of momentum conservation, you should always start with
∑pi=∑p
where the subscripts denote the initial and final momenta.
As to the ball & wall, you are correct that momentum is not conserved if you are only looking at the ball.
If you consider that the system includes the wall, then the momentum conservation holds. This does mean that the wall contains a momentum of 2mv2mv (for mass mm and velocity vv). But note that since the mass of the wall is incredible compared to the ball, the velocity is notably imperceptible!
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