Bat Hits Baseball - Force & Time Calculation

In summary, the conversation discusses a pitcher throwing a 1.5kg baseball at 25m/s, which hits a bat and returns in the opposite direction with the same speed. The force exerted by the bat on the ball is 50N, and the question is asked about how long the bat was in contact with the ball. After some discussion about the weight of the baseball and safety concerns, the correct answer is determined to be 1.5 seconds.
  • #1
gnome222
16
0
<< Moderator Note -- thread moved to the HH forums >>

a pitcher throws a 1.5kg baseball with speed 25m/s. it hits the bat and return in opposite direction with same speed. the force that bat exerted on ball is 50N. For how long was the bat touching(in contact) the ball? I used: delat t * F = m*delta velocity delta t 50N = 1.5(25-(-25)) and i got t=1.5 s. Is it correct? It does not seem like.
 
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  • #2
gnome222 said:
a pitcher throws a 1.5kg baseball with speed 25m/s. it hits the bat and return in opposite direction with same speed. the force that bat exerted on ball is 50N. For how long was the bat touching(in contact) the ball? I used: delat t * F = m*delta velocity delta t 50N = 1.5(25-(-25)) and i got t=1.5 s. Is it correct? It does not seem like.
That's a pretty happy baseball. Are you sure of that 1.5 kg?

Chet
 
  • #3
Chestermiller said:
That's a pretty happy baseball. Are you sure of that 1.5 kg?

Chet
yes
 
  • #4
gnome222 said:
yes
A major league baseball has a mass of 5.25 oz (0.15 kg). That 1.5 kg is an obvious typo.

And, please, don't try to play baseball with a 1.5 kg baseball. If you got hit by a fastball, it would be "lights out."

Chet
 
  • #5
o
Chestermiller said:
A major league baseball has a mass of 5.25 oz (0.15 kg). That 1.5 kg is an obvious typo.

And, please, don't try to play baseball with a 1.5 kg baseball. If you got hit by a fastball, it would be "lights out."

Chet
ok, but under the conditions described what would be time?
 
  • #6
gnome222 said:
o

ok, but under the conditions described what would be time?
If you are asking whether you solved the problem correctly, given the obviously faulty data, then the answer is yes.

Chet
 
  • #7
force is the rate of change of momentum.
Thus, you have been given the change in momentum, the force excerted.
So,
t=Change in momentum/force
=2*1.5*25/50=75/50=1.5

Yup, your answer is correct
 
  • #8
This is the sort of question you have to answer on impulse. Boom boom.
 

1. How does the force of a bat hitting a baseball affect the distance the ball travels?

The force of a bat hitting a baseball directly affects the distance the ball travels. According to Newton's Second Law of Motion, the force exerted on an object is equal to its mass multiplied by its acceleration. Therefore, the greater the force of the bat hitting the ball, the greater the acceleration of the ball, resulting in a longer distance traveled.

2. How does the speed of the bat affect the force of impact with the baseball?

The speed of the bat has a direct impact on the force of impact with the baseball. The faster the bat is swung, the greater the force it exerts on the ball. This is because the faster the bat, the greater its acceleration, which increases the force of impact on the ball.

3. How is the time of impact calculated in the bat hitting baseball scenario?

The time of impact is calculated by dividing the distance the ball travels by its velocity. This is known as the time of flight. Alternatively, it can also be calculated by dividing the change in velocity of the ball by the average acceleration during the time of impact.

4. Does the weight of the bat affect the force and time calculations in this scenario?

Yes, the weight of the bat does affect the force and time calculations in this scenario. According to Newton's Second Law of Motion, an object with a greater mass will require a greater force to accelerate it. Therefore, a heavier bat will require more force to be swung at the same speed, resulting in a longer time of impact.

5. How do factors like air resistance and friction affect the force and time calculations in this scenario?

Factors like air resistance and friction can affect the force and time calculations in this scenario. As a baseball travels through the air, it encounters air resistance which can slow it down. Friction between the bat and the ball can also affect the force and time of impact. These factors can alter the acceleration and force of the ball, resulting in different calculations for the time of impact.

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