It is important to find the total mass of a planet to understand its orbital motion. However, the mass of its atmosphere often needs to be included in calculations. A common expression for the density (ℎ) of air as a function of altitude ℎ above the surface of a planet is given by (ℎ)=0−ℎ where 0 is a constant and is a constant that depends on the mass of the planet, its gravitational acceleration constant, and temperature at sea level. A planet is discovered in which astrophysicists have measured 0=1.750 kg/m3 and =2.86×10−7 m−1. Calculate the total mass atm of the atmosphere if the planet has a radius of 3.50×106 m. atm= kg If the planet is largely composed of a magnesium alloy, with a constant density of 1836 kg/m3, calculate the ratio of the total mass of the atmosphere to the total mass planet of the planet (including the atmosphere). atmatm+planet=