Relationship of velocity of the impact to crater depth

In summary, the conversation discusses a project involving finding the relationship between impact velocity and crater depth using experimental methods and online research. The individual mentions difficulty in finding relevant information online and their own experiment, which indicates a possible square relationship between velocity and depth. They also mention the importance of considering the material properties in this relationship.
  • #1
yiuscott
37
0

Homework Statement


We have to do a project on finding out the relationship of velocity of the impact to crater depth by experimental methods, then we are supposed to find out the answer on the internet and compare it without experimental results. However, i couldn't find any website that wrote down any relationship between impact velocity and crater depth


Homework Equations





The Attempt at a Solution


Well, i did it experimentally. Also, i guess the impact is to do with the kinetic energy:
E=0.5mv^2
therefore i think a square relationship with the velocity should be expected.

however for my experiment i found an equation that is something like y=0.003x^2. I think that may be wrong...

Thank You Very Much
 
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  • #2
In your experiment, what are y and x? If x is the velocity, then there is no problem is there? Certainly the prefactor of v^2 will not be just m/2, because also properties of the material will be involved (the impact crater in sand is deeper than in wood, for example).
 
  • #3
Thank you for the reply.

X is my velocity and y is the depth of the crater.

I didn't realize that the number in front was to do with the material. :redface: Thanks!
 

1. What is the relationship between velocity of impact and crater depth?

The velocity of impact is directly proportional to the depth of the crater created. This means that the higher the velocity, the deeper the resulting crater will be.

2. How does the angle of impact affect the relationship between velocity and crater depth?

The angle of impact also plays a role in the relationship between velocity and crater depth. A steeper angle of impact results in a deeper crater, even at lower velocities, while a more shallow angle of impact may require a higher velocity to create a similar depth crater.

3. Is there a maximum velocity at which a crater can be formed?

There is no specific maximum velocity at which a crater can be formed, as it depends on various factors such as the composition and density of the impactor and the surface, as well as the angle of impact. However, at extremely high velocities, the impactor may disintegrate before creating a crater.

4. How does the size of the impactor affect the relationship between velocity and crater depth?

The size of the impactor also plays a role in the relationship between velocity and crater depth. A larger impactor will create a deeper crater at a lower velocity compared to a smaller impactor. However, the velocity of the impactor also affects the size of the resulting crater, so both factors must be considered.

5. Can the relationship between velocity and crater depth be applied to all types of impacts?

The relationship between velocity and crater depth is a general trend that applies to most impacts, but it may vary depending on the specific conditions and materials involved. Different factors such as the atmosphere, surface composition, and impactor characteristics can influence the relationship. Therefore, it is important to consider these factors when studying the relationship between velocity and crater depth.

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