Find Velocity of Mass in 12 Hours

In summary, the project involves dropping steel balls at one foot intervals into clay and measuring the depth of the impact crater. However, due to measurement errors, the data is incorrect. To fix the project, the team must convert inches to feet and recalculate the velocity using the formula v = √2gh. Then, they can use the formula d = v²t to calculate the depth of each crater and compare them to see if they increase four-fold. There is still time to fix the project and good luck to the team!
  • #1
Altoids
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Finding Velocity of Mass!

Hi!
This is a last resort for a project that has begun to go sour. We have a project due in roughly 12 hours comprised off of an experiment that Emilie Du Chatelet held. We are measuring the effects of height & velocity by dropping steel balls, at one foot intervals, into a one and a half inch thick piece of clay.

Then measuring the depth of the impact crater with a ruler and repeating the process eight times; corresponding to eight feet. Then timing the distance for the ball to fall to the related foot. (One foot, Two Foot, Etc..)

We’re analyzing the data and came upon a couple grave mistakes. We’ve accidentally measured with inches and feet. (Blame group projects). Overall, I believe our data is completely wrong, because in theory the depth should increase up to four times, but it hasn’t.

Any ideas how we can resurrect this in time? Our main man on the project just walked out the door in frustration.
 
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  • #2
Fortunately, there is still time to fix this project. The first step is to convert inches to feet and recalculate the velocity of the steel ball. To do this, you will need to use the formula v = √2gh, where v is the velocity, g is the acceleration due to gravity (9.81 m/s2), h is the height of the drop, and the √2 is a conversion factor. Once you have the velocity for each drop, you can then calculate the depth of each impact crater by using the formula d = v²t, where d is the depth of the crater, v is the velocity, and t is the time it took for the ball to fall. Finally, you can use this information to compare the depths of each of the impact craters and see if they increase four-fold as expected. Good luck!
 
  • #3


Hello there,

I understand the frustration and pressure you are facing with your project due in 12 hours. It seems like there have been some mistakes made in your experiment, particularly with the units of measurement. To find the velocity of mass, you will need to calculate the average speed of the steel ball as it falls from each foot interval. This can be done by dividing the distance (in feet) by the time (in seconds) it took for the ball to fall.

To correct your mistakes, you will need to convert all measurements to a consistent unit, either inches or feet. Then, make sure to accurately time the ball as it falls from each foot interval. You may also want to repeat the experiment multiple times to ensure accurate and consistent data.

Additionally, it is important to consider other factors that may affect the depth of the impact crater, such as the angle at which the ball is dropped and the force with which it hits the clay. It may be helpful to review Emilie Du Chatelet's experiment and methodology to ensure accuracy and validity in your own experiment.

In terms of resurrecting your project in time, I suggest dividing the remaining tasks among your group members and working efficiently to correct the mistakes and analyze the data. Remember to communicate and collaborate effectively to ensure a successful project. Good luck!
 

1. How do you find the velocity of a mass in 12 hours?

The velocity of a mass in 12 hours can be found by dividing the distance traveled by the time it took to travel that distance. This can be represented by the formula: velocity = distance / time.

2. What units are typically used to measure velocity?

Velocity is typically measured in meters per second (m/s) or kilometers per hour (km/h). However, other units such as feet per second (ft/s) or miles per hour (mph) may also be used.

3. Can the velocity of a mass change over 12 hours?

Yes, the velocity of a mass can change over 12 hours. Velocity is affected by factors such as acceleration, friction, and external forces, which can cause the speed and direction of the mass to change over time.

4. How is velocity different from speed?

Velocity and speed are often used interchangeably, but they are actually different concepts. Speed is a scalar quantity that represents the rate of change of distance, while velocity is a vector quantity that represents both the rate and direction of an object's movement.

5. What are some methods for measuring velocity of a mass in 12 hours?

There are a few methods for measuring the velocity of a mass in 12 hours. One method is using a stopwatch to measure the time it takes for the mass to travel a known distance. Another method is using sensors and data collection software to track the movement of the mass and calculate its velocity. Additionally, specialized equipment such as radar guns or speedometers can also be used to measure velocity.

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