The Schwarzschild radius, RS, of a black hole depends on its mass m, the speed of light c, and the gravitational constant G (with units m3/(kg s2 )). Find a dimensionally correct expression for RS in terms of these quantities. Assuming that you found a dimensionally correct expression, can you be sure that this expression is, in fact, the correct expression for calculating the Schwarzschild radius? Explain your answer.

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.