Question

3) Two particles fly apart in opposite directions in a laboratory. Particle A travels to the left at speed 0.06c, and particle B travels to the right at speed 0.09c (both speeds are relative to the laboratory). We wish to calculate the relative velocity of particles A and B using the Galilean transformation. a) Using a figure, show which object in this scenario defines the Home frame and which object defines the Other frame. [Hint: Be careful - in the standard orientation, the relative velocity u of the two frames is a knoun quantity by definition. So, you can't simply attach the Home frame to particle A and the Other frame to particle B, because you don't know their relative velocity - that's what you're trying to find! b) In the same figure, show which object is the object whose velocity we are trying to find (corresponding to the relative velocity of the particles) c) Use the Galilean transformation to calculate the relative velocity of the two particles. Clearly explain which of vz, vx, and u have known values, and which of these corresponds to the relative velocity you are trying to find d) There is another way to set up this problem, i.e. a different choice for the Home frame and Other frame. Solve the problem using this second approach.

Answer 1

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