How does density of an object affect its maximum speed.?

Example If I took a milk carton and put 5 lbs of cotton in it and then took a milk carton and put 5 lbs of lead in it and droped them off a building. Given all things being equil, weight, container size, wind and so on. The only variable is density, witch will fall fasterHow does density of an object affect its maximum speed.?
If weight and size are = than density is the same. They will fall at the same rate.How does density of an object affect its maximum speed.?
In this case, mass divided by apparent surface area will dictate which will fall faster because gravity is accelerating the objects against wind resistance. Gravity will have a much greater effect, per unit surface area, on a high density object than one of lower density with equivalent surface area.
If you are in a vacuum it will not matter.





The only difference it would have is from the friction on the 5lb object you use. The lead is tighter packed with less surface area, so it will have less friction and fall faster because the upward force on the object will be less.
Regardless of whether there is a vacuum or not. If both milk cartons are the same shape and size, they will fall at the same rate. It's like asking which weighs more, a pound of feathers or a pound of lead.
If you had a mlk carton large enough to pack in 5 # of cotton, the lead in the other container would not take up the same space. Therefore the density within the container will not be equal. The cotton would be the same all the way through. The lead would be all in a corner. Therefore the lead would cause the container to fall differently than the fully packed one. If they were spherical then this would not effect the motion. Otherwise it would.
In a vacuum where air resistance is not present, they have the same both speed.





In the real word, air resistance will have an effect on the maximum speed of an object. It all depends on the size of the area of the carton box as it resist air.





Both will theoretically have the same maximum speed if they will fall at the same orientation but if one falls on its side rather on its bottom, the latter will have larger maximum speed then the former because of air resistance is larger when it falls on its side.





In conclusion, density has NO effect on the maximum speed because they are both inside the carton box.
As others have pointed out, if you have two identical milk cartons each containing five pounds, the overall density is actually the same. The real difference will be the rotational inertia of the two cartons. If one is more likely to tumble that can affect how it falls: laminar flow is slower than turbulent flow so the one that is more likely to tumble (or flutter?) more may fall faster. Because the carton with lead has more of its mass concentrated around its center of mass, it has less rotational inertia... the unfilled part of the carton can vibrate in the air while the carton packed solid throughout could not. So my guess is that the lead carton could fall slightly faster, but that is still just a guess... it could depend on how the air interacts with the surface of the carton, for instance.
The equation of motion is





s = s0 + v0*t + 1/2*a*t^2





Mass is not a factor in the equation.

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