Speed of a ball after collision

AI Thread Summary
In an elastic collision between a ball and a bat, both moving at 1.9 m/s, the speed of the ball after the collision can be determined by applying the principles of momentum and kinetic energy conservation. Given that the mass of the bat is significantly larger than that of the ball, the ball's speed will effectively reverse direction while maintaining its magnitude. The kinetic energy (KE) of the ball will increase as a result of the collision, and the factor by which it increases can be calculated using the relationship between the initial and final velocities. The hint suggests using the mass ratio of the bat to the ball approaching infinity to simplify the calculations. This approach will yield the final speed of the ball and the increase in its kinetic energy.
Naldo6
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1. Homework Statement [/b]



A ball and bat, approaching one another each with the same speed of 1.9 m/s, collide. Find the speed of the ball after the collision. (Assume the mass of the bat is much much larger than the mass of the ball and that this is an elastic collision with no rotational motion).

2. Find the factor by which the KE of the ball increases due to the collision.

Could anyone help me?...
 
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Naldo6 said:
A ball and bat, approaching one another each with the same speed of 1.9 m/s, collide. Find the speed of the ball after the collision. (Assume the mass of the bat is much much larger than the mass of the ball and that this is an elastic collision with no rotational motion).

2. Find the factor by which the KE of the ball increases due to the collision.

Hi Naldo6! :smile:

Hint: call the mass of the ball m, and the mass of the bat M, solve in the usual way, and then let M/m tend to infinity.
 
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