Does a 2 Light-Year Long Steel Bar Move Instantly When Pushed?

AI Thread Summary
A hypothetical scenario involving a 2 light-year long steel bar raises the question of whether its movement would be instantaneous or delayed. The consensus is that there would be a delay, as the movement would propagate at the speed of sound within the material, calculated using the square root of Young's modulus divided by density. This means that if the bar is pushed, the other end would not move immediately but would experience a compression wave. Additionally, the bar would temporarily shorten due to this compression before returning to its original length. The discussion highlights the complexities of material properties and wave propagation in physics.
Drew boxer
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I'm a physics teacher and one of my AP students posed the following question: "if there was a steel bar 2 light years long and you moved it forward a couple inches, would the other end move forward a couple inches immediately or would there be a delay?". We'd been discussing electric fields, so that got him thinking. I thought it was interesting and wondered how others would have answered.

Thanks,
 
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There would be a delay. The movement would propagate down the bar at the speed of sound in the bar, which is \sqrt{Y/\rho}, square root of Young's modulus over density.
 
Khashishi said:
There would be a delay. The movement would propagate down the bar at the speed of sound in the bar, which is \sqrt{Y/\rho}, square root of Young's modulus over density.

So if what you say is true then the bar would be a couple of inches shorter for a little while ? I fail to understand how that can happen :S
 
It's not surprising that the length of the bar will change. If you strike a bar, it will compress a little and send a compression wave down the bar. It's no different if you move it gently--the compression wave is just much smaller in amplitude.
 
Not to mention the inertia of a 2 lightyear long steel bar!
 
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