Well, the baseball is going to have a bigger mass, so it's gonna have a smaller velocity to have the same momentum as the smaller mass golf ball, which then will have a bigger velocity. Yeah, So when we go to calculate kinetic energy, Kinetic energy is equal to 1/2 MV two. So for the baseball the 1/2 times big m on small velocity squared.
Full Answer
Why is the speed of the ball greater than the bat?
Since the bat is much heavier than the ball, and assuming the collision is elastic, the ball simply bounces off the bat as if it were a brick wall, ending up with velocity v + w. Transforming back to your frame, the ball ends up with velocity v + 2 w. This is indeed always greater than the speed of the bat.
Does the ball move faster than its point of contact?
For an ideal heavy bat, the ball moves faster than its point of contact with the bat. Here's why. Suppose you swing the bat with velocity + w and the ball comes in with velocity − v. Work in the reference frame of the bat. In this frame the ball has velocity − v − w.
Does gravity affect the speed of a tennis ball when hit?
Yes, if the ball is traveling at less than its terminal velocity after being hit and if you hit the ball off a sufficiently tall cliff. The ball will be effected by gravity and will accelerate toward the earth eventually reaching its terminal velocity (the point where air resistance equals the force applied by gravity).
Is a baseball elastic enough to fly further than a bat?
My guess would be that a baseball is elastic enough to fly further than the bat would even assuming you let go of it with the same inclination as a perfectly hit ball.
Why would a ball travel faster than a bat?
If acceleration is different then velocity is also different for both ball and bat. So, ball would travel faster than the bat. Yes, this happens due to the conservation of momentum in a collision. By the Law of Conservation of momentum, momentum before and after the collision should be the same.
What is momentum conservation?
Momentum conservation is a result of the "homogeneity of space". This homogeneity of space however is violated by a person standing at a specific spot in space holding a bat. Or in other words: the bat is connected to a person who is connected to the Earth. Earths mass M > > mball .
How fast would an astronaut shoot off?
According to that, the astronaut would shoot off at hundreds (maybe thousands) of kilometers per hour when being touched by a massive spaceship, and the spaceship would come to a stop, but obviously that doesn't happen.
Is a ball moving off a bat?
Consider the trivial case: bat not moving. The ball will bounce off the bat as if the bat were a wall. Obviously, in any form of elastic collision, after the bounce the ball will have a non-zero velocity. This is greater than the 0 velocity of the stationary bat.
Do bats and balls move at the same speed?
As the collision ends, the springs release this energy, increasing the speed of the ball over that of the bat. Yes.
Is the ball accelerated to the bat speed?
The ball is accelerated to the bat speed, and the bat has slowed down a tiny amount - here is where "idealized" momentum has played its' role. Now it is time for elastic relaxation to do its' job. As the ball reforms itself... an impulse is imparted to both, and this impulse is (has to be) like and opposite.