Final answer:
In a perfectly elastic collision between a ball and a wall, the momentum of the ball is reversed and the amount of momentum transferred into the wall can be determined by calculating the change in momentum of the ball.
Step-by-step explanation:
In a perfectly elastic collision between a ball and a wall, the momentum of the ball is reversed, meaning the ball's momentum changes direction. According to Newton's third law, the force exerted by the ball on the wall is equal in magnitude but opposite in direction to the force exerted by the wall on the ball.
The amount of momentum transferred into the wall can be determined by calculating the change in momentum of the ball. The change in momentum is equal to the initial momentum of the ball minus the final momentum of the ball.
If the mass of the ball is represented by m and its initial velocity is represented by v, then the change in momentum is 2mv. This is because the ball's momentum changes direction, resulting in a change of 2 times its initial momentum.