It's just a curiosity and I'm searching for an estimation too... Like this kind of a stupid question:
I'm deliberate to apply Newtonian mechanics in a situation where it doesn't apply. On a flat surface (let's state that the Earth is flat and infinite). One train is traveling at 100km/h. An other is traveling at 100km/h on the top of the first train. The speed of the second train is therefore 200km/h. How many trains must I superpose so the top one reaches the speed of light?
This question has an answer even if it states a lot of aberrant assumptions. The answer is 10,792,529 trains (if I'm correct

). I know that to try out this experiment would require the train at the bottom to be very robust and very long (about one million km long to make it possible for all the trains to reach the speed of 100km/h), and a lot of gasoline. Also, the experiment would disprove this calculation since the principle of relativity should make a difference here.
We could also calculate the answer of this stupid question: assuming that my mother doesn't leave home, how much time must I drive my car at 100km/h, to catchup the age of my mother? (Due to time dilatation in the principle of relativity - which has been verified by experiment, so the result is expected to be a good approximation of the reality.)
I would like to know, for example, if I throw a pure graphite ball of 1/2 centimetre radius through a pure graphite wall of 1 millimetre width with a speed of 1m/s. Let's state the ambient temperature at 300K. We neglect the effect of air molecules, gravity, etc. What is the probability of the ball passing through the wall without damaging itself nor the wall? Is there a formula of the quantum principles that, outrageously applied to this case would give a result? Just to have a wrong approximation of an absurd fact, and then try to represent it.
For example : If an answer is 10^(-10^30), we can illustrate it:
If 6,000,000,000 people begins to write zeros right now with an average of 2 per second and per person, without sleeping, drinking nor eating (yes, they would die within 3 days, but), they would need 176 times the age of the universe to write down all the zeros of the number of time you need to throw a graphite ball etc. This is such an understandable illustration...