Introduction to modern physics (phy 360) due: 09/07/2018 problem 1. previously we showed that the form of the wave equation changes in the galilean transformations. in this exercise use the lorentz transformation for conneeting two inertial frames with relative velocities of v and show that argue why this result implies that the speed of light is the same in both frames problem 2. bob is speeding away from alice with the constant speed of 0.8e towards east meanwhile alice notices that a satellite is moving towards her with the speed of 0.6c. what is the speed of the satellite in bob's frame if the satellite is moving towards alice from (a) mest (b) south? problem 3. a rod lies parallel to the x-axis of reference frame s, moving along this at a speed of 0.8c. its rest length is 1.0 m. what will its measured length be in frame s? problem 4. a rod is placed such that it is making a 45 degre angle with the x-axis in framae s. an observer in a moving frame s measures the angle between the rod and the x-axis to be 80 the frame s? degrees. what is the relative velocity the frane s' with respect to problem from the book : 1-20, 1-21, 1-24, 1-27