Well... it depends what you mean by "show".
There really are no ways to "show" Newton's second law of motion. This may come as a surprise to you. Let me explain what I mean by that.
The second law is the DEFINITION of force. It tells you that if you want to measure a force, you have to measure the acceleration of a test mass.
So whenever you "show" the second law at work, e.g. by pulling on a test mass on wheels with a spring force gauge, what you are really doing is to calibrate the device that produces the force (in this case the spring force gauge) against the definition of force. You are not demonstrating the second law... you are simply checking if your force gauge etc. is any good. This would also hold for all other experiments that produce a "known" force and then measure the acceleration of a test mass.
If we wanted to "show" or "prove" the second law of motion, we would need an independent definition of force. There is no such physical definition. Hooke's Law is not a definition of force, it is an empirical law for elastic materials. Neither is any other physical effect that uses matter (e.g. gas in a pressure vessel) an independent force normal.
Sadly, when we teach physics, very often the teacher puts the force gauge on the table right next to the test mass on its little railway cart that allows it to be accelerated without too much friction. The students see this and the student's brain equates
force gauge = definition of force = left hand side
accelerated mass = right hand side
Pull with one Newton (that's what it says right there on the force gauge!), observe an acceleration of 0.1m/s^2 for a 10kg mass.
Pull with two Newton, observe twice the acceleration...
QED Newton's second law.
And that is exactly what Newton's second law is NOT about. It can not be tested and it can not be proven with force gauges.But if you had a spring with unknown spring constant, Newton's second law could be used to measure the spring constant, though...