A new nuclear power plant will use thorium as the fuel to produce energy. Thorium's atomic weight is 229 g/mol and the mass loss in the nuclear reaction process is 0.03 gmol used. The fuel that the plant will have access to contains 10% of pure thorium. The plant will produce 900 MW of electricity and will also produce 1800 MW of waste heat. What is the efficiency of the plant?

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.