You need a number of eggs.
Build a small cage on wheels that can hold an egg and that you can impel at variable, predetermined speeds.
Launch the loaded cage at a stationary "wall" (say, a brick) at various speeds, starting at low speed and increasing until you find the speed at which the egg cracks.
Then change the experiment. Have two loaded cages that launch at each other ... start at low speed and increase until the eggs crack.
It would be good to have the cages run on tracks so as to direct the momentum.
Now here's the experimental question:
Kinetic Energy (KE) is equal to 1/2*m*v^2.
If the two cages launch at each other, their relative velocities are 2*v. However, this would yield a larger KE than the two KE's considered separately.
KE (computed separately) = mv^2
KE (computed relative) = 1/2 m (2*v)^2 = 2mv^2
There are other techniques that you could use to indirectly measure the KE, of course. Anyway, this is an experiment I'd really like to know the results of.
