Astronomy Homework about Comparing velocities, Radiation, and Neutron Star thermal

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radiation!? 1.
a) Two cars are traveling on the freeway. Car A is traveling at 50 mph and Car B is traveling at 80 mph. Car B passes Car A. How fast does the driver of Car A see Car B moving away from her?
b) Two spaceships are traveling on the interstellar freeway. Ship A is traveling at 0.5c and Ship B is traveling at 0.8c. Ship B passes Ship A. How fast does the pilot of Ship A see Ship B moving away from her?

2. Some supernova emit 10^46 J of energy in the first second of explosion. How long would it take the Sun (2X10^30 W luminosity) to radiate this much energy?

3. Neuron Star thermal radiation:
a) A typical neutron star has a surface temperature of around 10^6 K. What is the peak wavelength of the neutron star's thermal spectrum? In what part of the electromagnetic spectrum is this peak wavelength (radio, visible, etc.)?

b) A typical white dwarf has a surface temperature of around 10^4 K and is about 1000 times larger in radius than a neutron star. Which is more luminous, a neutron star or a white dwarf? By what factor?

Thanks!!!
 
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