A beam of light passes through the air (n - 1.00) and enters a diamond (n=2.42) at an angle of incidence of 40 degrees Use Snell's Law to find the angle of refraction in the diamond If the diamond is placed in a tank of water (n=1.33) and the beam of light enters the diamond at the same angle of incidence, what would be the new angle of refraction? Show all work

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

An electron moves with a constant horizontal velocity of 3.0 × 106 m/s and no initial vertical velocity as it enters a deflector inside a tv tube. the electron strikes the screen after traveling 26 cm horizontally and 19 cm vertically upward with no horizontal acceleration. what is the constant vertical acceleration provided by the deflector? (the effects of gravity can be ignored.)

You have 80 g of 60oc water and 80 g or 10oc water. what is the final temperature when the two are mixed? explain.