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Special Relativity and Schwarzschild Radius

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November 5th, 2022

1. A particle is measured to have a kinetic energy that is four times its rest as energy. How fast is the particle moving? Express the speed as a fraction of c.

2. Write down the transformations that relate the electric field E and the magnetic field B in two different inertial frames. Use your result to show that E*B is the same for all inertial observers. You may choose the motion to be in the x-direction if you wish.

3. Define the Schwarzschild radius of a black hole and give a brief description of its significance.

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