relationship of velocity of the impact to crater depth

yiuscott

1. The problem statement, all variables and given/known data
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 with out experimental results. However, i couldn't find any website that wrote down any relationship between impact velocity and crater depth


2. Relevant equations



3. 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 realise that the number in front was to do with the material. Thanks!