Problem set due in class, Mar 05. Show your work.

1) If two solar mass stars are separated by 2 parsecs, what does the virial theorem say their final veloicities will be? (4 points)

2) The interior of a molecular cloud has a temperature of 10K and a mean density of 10^-15 kg/m^3. Show that the scale length for this cloud is about 10^15 meters. How much mass is contained in this volume? (4 points)

3) Calculate the energy released per net reaction of the triple alpha process (the atomic weight of He is 4.0026, the atomic weight of C is 12.0000) (4 points)

4) If 10% of a solar mass star is converted into He, how long will a red giant star shine if its luminosity is 10 times the Sun? (4 points)