Mass-luminosity relation: Roughly 90% of all stars are main-sequence stars. Exceptions include supergiants, giants, and dwarfs. For main-sequence stars (including the sun) there is an important...

Mass-luminosity relation: Roughly 90% of all stars are main-sequence stars. Exceptions include supergiants, giants, and dwarfs. For main-sequence stars (including the sun) there is an important relationship called the mass-luminosity relation between the relative luminosity25 L and the mass M in terms of solar masses. Relative masses and luminosities of several main-sequence stars are reported in the accompanying table.

a. Find a power model for the data in this table. (Round the power and the coefficient to one decimal place.) The function you find is known to astronomers as the mass-luminosity relation.

b. Kruger 60 is a main-sequence star that is about 0.11 solar mass. Use functional notation to express the relative luminosity of Kruger 60, and then calculate that value.

c. Wolf 359 has a relative luminosity of about 0.0001. How massive is Wolf 359? d. If one star is 3 times as massive as another, how do their luminosities compare?