The Tour de France is the biggest bicycle race in the world. The race lasts for three weeks and is one of the biggest sporting events of the year. At the end of each day of racing they give to the certain riders FOUR different colored jerseys. What are the four different colored jerseys AND what does it mean to the rider that gets to wear it the next day?

Molten iron fills a mould, which has a volume of 200 cm cubed. calculate the volume when the iron cools and solidifies.

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.

Observations show that interstellar clouds can have almost any shape and