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Falling light. According to general relativity and the equivalence principle, light is bent by gravity. Consider...

Falling light. According to general relativity and the equivalence principle, light is bent by gravity. Consider two tall, perfectly reflecting mirrors exactly 10 m apart and facing each other. A beam of light is directed horizontally through a hole in one of the mirrors 8 m above the ground.

(a) Determine the time it takes for the light to strike the ground.

(b) The light will undergo N reflections (i.e., N/2 reflections from each mirror) before it strikes the ground. Find N.

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