# Determine electron total energy, kinetic energy, momentum, and angle?

Around the core of a nuclear reactor shielded by a large pool of water, Cerenkov radiation appears as a blue glow (see figure below). Cerenkov radiation occurs when a particle travels faster through a medium than the speed of light in that medium. It is the electromagnetic equivalent of a bow wave or a sonic boom. An electron is traveling through water at a speed 10.9% faster than the speed of light in water.

a) Determine electron total energy

b) Determine electron kinetic energy

c) Determine electron momentum

d) Find the angle between the shock wave and the electron's direction of moton

I tried using e=mc^2 with the speed of light in water but i'm not sure if that is the correct approach as I got the wrong answer.

### 1 Answer

- 7 years agoBest Answer
mc^2 is the rest mass energy with c = 3*10^8 m/s

For the total energy you have to add the kinetic energy, 0.5*m*v^2

I assume you have to calculate what v is.

I suggest (assuming the water has a refractive index of 1.33) that

v = 1.09 * 3/1.33 * 10^8 = 2.45*10^8 m/s