Lorentz Transformation: Calculating Event Coordinates between Inertial Frames
An event occurs at \(x = 5.0\,\text{m}\) and \(t = 2.0\,\text{s}\) in inertial frame S. Frame S’ is moving relative to S at a speed of \(v = 0.6c\) in the positive x-direction. Using the Lorentz transformation equations, calculate the coordinates \(x’\) and \(t’\) of the event in frame S’.\n\nAssume \(c = 3.0 \times 10^8\,\text{m/s}\).