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Homework Help: [objet falling] Air resistance / terminal velocity

  1. Feb 1, 2012 #1
    1. The problem statement, all variables and given/known data

    How would the graph of position vs. time for a single cone change under each of the following conditions?

    1)the cone's mass was increased but its shape was kept the same.
    2)the cone's mass was kept the same but its diameter was increased.
    3)the cone fell through vacuum instead of through air.
    4) the air density in the classroom was increased.

    2. Relevant equations

    [eqn 1] Vterminal=(Mg/c)^1/n

    [eqn 2] F=6pie(viscocity)(radius)(velocity)

    3. The attempt at a solution

    1) increase; M in eqn 1 increases?
    2) increase; r in eqn 2 increases?
    3) increase; i do not know
    4) increase; viscocity increases?
  2. jcsd
  3. Feb 1, 2012 #2


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    Science Advisor
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    Gold Member

    A position vs. time graph allows you to determine ithe cone's speed. I think you have a case of a cone falling through air, and I think you want to know what happens to its speed when its mass is increased; its radius is increased; the air is not present; and the air density is increased.

    You should know that when a mass is falling through a medium other than a vacuum, its speed is directly proportional to its mass and inversely proportional to its exposed area and the density of the medium. Your answers are not all correct.
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