Okay I'll try and explain my point as to why; 10 lbs of titanium steel and 10 lbs of wood, plastic, glass, aluminum or flesh striking a steel column at 570 mph are going to have
decidedly different results!
Since
energy transfer is the preferred term amongst most people here, I'll use it to explain the difference in results, as in the resulting
deformation damage.
If we have a 10 pound cylinder of titanium steel and a 10 pound cylinder of aluminum, both moving at the same velocity "
v", upon impact with the steel column, and ignoring the negligible amount of energy lost as thermal energy (heat), the amount of energy in the system lost to
deformation damage (
∆E) is given by the following:
where
e is the coefficient of restitution, which measures how elastic the collision is. It is a function of the
hardness or
softness of the colliding objects, which along with velocity determines impulse. If hard objects collide (for a perfectly inelastic collision, e=0), they will accelerate one another quickly, transferring a large amount of force in a small amount of time while soft objects colliding (for a perfectly elastic collision, e=1) transfer smaller amounts of energy to one another for longer periods of time.
As ∆E is proportional to the square of velocity, the more velocity the cylinder has, the more energy will be transferred into the steel column. In the simplest possible terms, if the steel column was infused with more energy than its structure could handle, it would break.
Since the titanium steel cylinder is harder and stronger than the aluminum cylinder of the same size and mass, it will create more deformation damage to the steel column.
I hope this makes sense?
MM