Relationship of velocity of the impact to crater depth

[yiuscott]

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

 

[CompuChip]

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).

 

[yiuscott]

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. Thanks!