Never even been to sci before but im curious about something

If all of this is true, how can planes fly faster than sound in the atmosphere?

The engines are putting force on the plane (which doesn't have special properties compared to a metal rod) so how are the plane's molecules able to be moved faster than sound?

Or do the above explanations only apply to instantaneous force?

And if so, even still, how are the stationary air molecules the plane is moving through able to be instantaneously moved out of the plane's way faster than the speed of sound?

Here, it is a vibration moving in a medium.
The maximum speed for a vibration through steel(here steel is the medium through which vibrations travel) is .
But, when you talk about an airplane travelling in air, the maximum speed for any particle in it is the speed of light.
According to your logic, light shouldn't have been able to travel at that speed (~3x10^8m/s) vs (~335m/s for sound).
So, that's how an airplane can travel faster than sound travels in air.

You're misunderstanding it. The speed that things propagate through a material is at most the speed of sound through that material. If you tap the front of the plane, the vibrations will reach the back at or later than sound will. This has nothing to do with the motion of the plane as a whole, it can move faster than the speed of sound without any issue.

They cant move out of the way fast enough and are being crushed, that is what creates the sonic boom

Force doesn't require a medium. For instance, gravity is a force. And it propagates at the speed of light.
But if I offend my wife, I feel the force of her wrath much more quickly.

Well, that's true for linear, first order processes, but not in general. And what's your point about "tapping the plane?" You say that vibrations will reach the back later than sound will? Do you mean the sound that travels through the air? I'm confused because vibrations and sound are the same thing--a longitudinal pressure wave, thereby the force is coincidental with the sound (for simple phenomena, at least).

What if light causes the fibrations in air molecules because of radiation?

Like this?

Say there's a very long steel rod and you push on one end, obviously it won't move on the other end because the force will not have time to reach it, but it will move on your end.

Does that mean that you're compressing the rod by pushing on it?
Can't the material yield if you are actually compressing it?

Yep to both.

You're compressing it a very small amount by pushing on it. If you hit it, you're briefly compressing it where you hit it, and the compression wave (longitudinal wave, like sound) travels down the rod.

'Force' itself travels at the speed of light. When you push on the rod, what keeps you from passing *through* the rod is the electromagnetic repulsion between the atoms. The electromagnetic force travels at the speed of light. However, at the atomic level, its only significant at close ranges. Then, the speed of sound in a material is determined by how far the individual atoms have to travel before colliding with their nearest partners. This travel time is why the speed of sound is less than the speed of light. Then, it makes sense that the speed of sound (and thus the speed of force propagation) is higher in very dense materials.

Is light just a by product of energy?

It _is_ one for of energy. Well, it's one of the carriers of energy.

So mass = a carrier of energie, and light is relative to the mass?