# Determining the time of a collision

• robertmatthew
In summary, the problem involves a 473-gram baseball traveling at 37 m/s being hit back at the pitcher at 45 m/s with a force of 3800 Newtons. The time the bat is in contact with the ball can be calculated using the equation F= dp/dt and by considering the difference in velocities between the ball and bat. Upon realizing this, the correct answer can be found.
robertmatthew

## Homework Statement

A 473-gram baseball traveling at 37 m/s is hit directly back at the pitcher with a speed of 45 m/s. If the force of contact between the bat and the ball is 3800 Newtons, how long is the bat in contact with the ball?

F= dp/dt

## The Attempt at a Solution

F=dp/dt
t=dp/F
t=(m)(v2-v1)/F
t=(.473)(8)/(3800) ---> converted 473g into kg because Newtons are kg*m/s2
t=.000996 s

But that's not the right answer. I've also tried not converted g->kg and that doesn't work either, so obviously there's something else I'm doing wrong, but I just don't know what it is.

robertmatthew said:

## Homework Statement

A 473-gram baseball traveling at 37 m/s is hit directly back at the pitcher with a speed of 45 m/s. If the force of contact between the bat and the ball is 3800 Newtons, how long is the bat in contact with the ball?

F= dp/dt

## The Attempt at a Solution

F=dp/dt
t=dp/F
t=(m)(v2-v1)/F
t=(.473)(8)/(3800) ---> converted 473g into kg because Newtons are kg*m/s2
t=.000996 s

But that's not the right answer. I've also tried not converted g->kg and that doesn't work either, so obviously there's something else I'm doing wrong, but I just don't know what it is.

The difference in velocities between 37m/s towards the bat and 45m/s away from the bat is 82m/s. You have to consider the sign of the velocities.

Wow, that completely went over my head... now I feel really stupid, haha. Thanks for pointing that out, sorry for the waste of a post.

robertmatthew said:
Wow, that completely went over my head... now I feel really stupid, haha. Thanks for pointing that out, sorry for the waste of a post.

Don't feel sorry. That's what the forum is for. If you get it the post is hardly wasted.

I would like to point out that there are a few assumptions and limitations to consider when trying to determine the time of a collision between a baseball and a bat. Firstly, the calculations provided in the attempt at a solution assume that the collision between the baseball and the bat is perfectly elastic, meaning there is no loss of energy during the collision. However, in reality, there will be some energy lost due to factors such as air resistance and friction between the ball and the bat. This can affect the accuracy of the calculated time of the collision.

Additionally, the calculations also assume that the force of contact between the bat and the ball is constant throughout the entire duration of the collision. In reality, the force may vary depending on the materials and structure of the bat and ball, and the angle at which the bat makes contact with the ball.

Furthermore, it is important to note that this calculation only provides an estimate of the time of the collision and may not accurately reflect the actual duration of the contact between the bat and the ball. Other factors such as the speed and trajectory of the bat swing, as well as the shape and size of the ball, can also affect the duration of the collision.

In conclusion, while the provided attempt at a solution may provide a rough estimate of the time of the collision, it is important to consider the assumptions and limitations involved in the calculation and to acknowledge that the actual duration of the collision may vary from the calculated value. Further experimentation and analysis may be necessary to accurately determine the time of a collision between a baseball and a bat.

## 1. How do you determine the time of a collision?

To determine the time of a collision, scientists use the formula t = d/v, where t is time, d is distance, and v is velocity. By measuring the distance between the objects involved in the collision and their velocities, the time of the collision can be calculated.

## 2. What factors affect the accuracy of determining the time of a collision?

The accuracy of determining the time of a collision can be affected by factors such as the speed and size of the objects involved, the precision of the measurement tools used, and the presence of external forces or variables that may influence the collision.

## 3. Can the time of a collision be determined after the fact?

Yes, the time of a collision can be determined after the fact by analyzing the data and evidence collected from the collision. This can be done through mathematical calculations or by using specialized tools and techniques.

## 4. How does determining the time of a collision help in accident reconstruction?

Determining the time of a collision is crucial in accident reconstruction as it provides valuable information about the sequence of events leading up to the collision. This can help investigators understand the cause and contributing factors of the accident and determine the responsible party.

## 5. Are there any limitations to determining the time of a collision?

While determining the time of a collision can provide important insights, there are limitations to its accuracy. Factors such as human error, equipment malfunction, and the complexity of the collision itself can affect the precision of the time calculation.

Replies
42
Views
4K
Replies
2
Views
6K
Replies
23
Views
2K
Replies
10
Views
3K
Replies
6
Views
6K
Replies
5
Views
2K
Replies
5
Views
2K
Replies
5
Views
1K
Replies
5
Views
3K
Replies
17
Views
2K