a) Compare the average kinetic energy k,TrT of air molecules to the difference in gravitational energies, AU = mgz, at the top and bottom of a room, of height z = 3 m. Again, you can assume air is made of nitrogen only. Why doesn't the air in the room fall to the floor? What could you do to make it fall? b) This time calculate it for a 50 µm dirt particle of mass 1.25×10-10 kg. Does it fall to the ground and if so, why? %3D

a) Compare the average kinetic energy k,TrT of air molecules to the difference in gravitational energies, AU = mgz, at the top and bottom of a room, of height z = 3 m. Again, you can assume air is made of nitrogen only. Why doesn't the air in the room fall to the floor? What could you do to make it fall? b) This time calculate it for a 50 µm dirt particle of mass 1.25×10-10 kg. Does it fall to the ground and if so, why? %3D