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## Homework Statement

Light travels through water at a speed of about 2.25e8 m/s. Is it possible for a particle to travel through water at a speed v greater than 2.25e8.

## Homework Equations

E=(Rest Energy)/sqrt(1-v^2/c^2)

## The Attempt at a Solution

I realize that light requires no medium to propogate through and is massless and therefore nothing can exceed this speed since it would require infinite energy to do this. However when light passes through a dense media it scatters and slows through different refractive indexes. So I would thinnk the answer would be yes it is possible but then again I look tat the equation I gave for finding total energy and no matter what the value of c is if your numerator in higher it will become imaginary so by that equation it fails no matter what so would the answer be no?