Discuss the below:
Q: Mars Global Surveyor spacecraft orbits Mars collecting data. It has collected more Martian images than all the past Mars missions combined.
This graph contains information about the surface temperature of Mars collected by the Mars Global Surveyor using a thermal emission spectrometer.
Assume you are at the center of the South Pole of Mars. In this area directly around the South Pole, the Martian surface can be assumed to initially be uniform. Since you are at the ice caps of Mars, the physical constants of the ground are similar to ice. Assume:
k=1.3(Btu/hr.ft°F) , h=0.98(Btu/hr.ft2°F) and
α=0.04(ft^2/hr)
Suppose the atmospheric gas directly above the surface drops to -260 °F. This will affect the ground below. How deep below the surface would you find the temperature of Mars to be -254 °F after a)