Problem set due in class, Mar 12. Show your work.

1) If a 0.5 solar mass white dwarf has a radius of 2 Earth radii, what is the radius of a 1 solar mass white dwarf? (Answer: 1.6 Earth radii) (4 points)

2) How much thermal energy is contained in a Chandrasckhar mass star at 10^7K? If the star has a luminosity of 1/100 the Sun's, what is its cooling time? (6 points)

3) What are the time dilation, Lorenz contraction and relativistic mass of a 2 meter, 100kg human moving at 0.99c? (6 points)

4) What is the Schwarschild radius of the following masses: 10 solar mass star, 1 solar mass star, Earth mass, asteriod that is 1/100 Earth mass. (4 points)