Galilean Definition and 159 Threads

Right or wrong? Specifically, an equation is said to be Galilean invariant if a substitution x \rightarrow x \pm v_x t y \rightarrow y \pm v_y t z \rightarrow z \pm v_z t t \rightarrow t doesn't change the equation. If right, would simply showing that x \rightarrow x \pm vt y...

What happens if I have 2 frames,S and S', with S as my rest frame and S' moving in the +ve x direction (towards the right). Why is it that the equation for the galilean transformation for the x-coordinate is x'=x-vt instead of x'=x+vt ?

I'm re-reading Greene's The Fabric of the Cosmos. He describes Newton as explaining his (Newton's, not Greene's!) thought experiment of the bucket by the existence of absolute space: something with respect to which rotating objects rotate, even in seemingly empty space. Did Newton ever...

Any help would be greatly appreciated. 1. Two swimmers, John and Emma, start together at the same point on the bank of a wide stream that flows with the speed c (c>v), relative to the water. John swims downstream a distance L and then upstream the same distance. Emma swims so that her motion...

Hi All, I'm new to this forum. I'm a third-year undergrad Physics Major in Australia, about to go on to Honours, very exciting project in Helium atom detection. To the point. My 3rd year Special Rel project is an investigation of the development of relativistic QM (RQM). I have to...

My problem is this: Let's say momentum is conserved in all frames... An observer on the ground observes two paticles with masses m1 and m2 and finds upon measurement that momentum is conserved. Use classical velocity addition to prove that momentum is conserved if the observer is on a train...

I just finished the first page of the URL at the motivation of my personal mentor, Doc Al. http://theory.uwinnipeg.ca/mod_tech/node134.html The writer showed examples of adding velocities using non photon entities. In using the photon in order to show that postulates of the speed of...

Two frame of reference A and A'. A' starts accelerating with respect to A. The distance of separation of the two frame of reference is s = 1/2 at^2 x' = x - s = x - 1/2 at^2 Differentiating twice with respect to time we get d^2x'/dt^2 = d^2x/dt^2 - a d^2'x/dt^2 + a =...

This is not a homework question but I am posting it here because I think it may be too basic for the other forums. I am looking for a ray diagram for a reverse galilean telescope (ie. + eyepiece, - objective, so image is minified). Can anyone describe what the ray diagram would look like or...