Question: How does mass affect terminal velocity when a drag force is present?

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SUMMARY

In discussions about terminal velocity, it is established that mass significantly influences the terminal velocity of falling objects when drag force is present. Specifically, a heavier object, such as a 100kg person compared to a 50kg person, will attain a higher terminal velocity due to its greater weight, which requires a larger drag force to balance it. The relationship between weight (W=mg) and drag force is crucial; as mass increases, so does the weight, thus necessitating more drag to reach terminal velocity. Additionally, the shape of the object also plays a role in determining terminal velocity.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of drag force
  • Basic knowledge of terminal velocity
  • Grasp of the equation W=mg (weight equals mass times gravity)
NEXT STEPS
  • Research the relationship between mass and drag force in fluid dynamics
  • Study the effects of shape on terminal velocity using different object geometries
  • Explore the mathematical modeling of terminal velocity in various mediums
  • Investigate real-world applications of terminal velocity in skydiving and parachuting
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of motion and forces, particularly in relation to terminal velocity and drag forces.

Nubcake
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If two people of different masses say 50kg and 100kg were to suddenly jump off a building , why would the person with more mass attain a higher terminal velocity? I thought mass was irrelevant. I missed 1 lesson on this in class but this part I don't understand properly. If they were the same shape would the person with mass 100kg still have a greater terminal velocity?

Edit: A object reaches terminal velocity when the drag force is equal to the weight of the object; so am I right to say that W=mg comes into this and the person with more mass has more weight so more drag is needed to reach terminal velocity?
 
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Nubcake said:
A object reaches terminal velocity when the drag force is equal to the weight of the object; so am I right to say that W=mg comes into this and the person with more mass has more weight so more drag is needed to reach terminal velocity?

Weight is certainly a big determinant of terminal velocity. Think how fast an air-filled balloon reaches t.v. (and how slow it is) compared with a bowling ball of same size. Shape is also a factor: a teardrop-shaped object vs a parachute-shaped object of the same mass will have different terminal velocities.
 
Nubcake said:
If two people of different masses say 50kg and 100kg were to suddenly jump off a building , why would the person with more mass attain a higher terminal velocity? I thought mass was irrelevant. I missed 1 lesson on this in class but this part I don't understand properly. If they were the same shape would the person with mass 100kg still have a greater terminal velocity?

Edit: A object reaches terminal velocity when the drag force is equal to the weight of the object; so am I right to say that W=mg comes into this and the person with more mass has more weight so more drag is needed to reach terminal velocity?

Mass is only irrelevant if the only force is gravity. When a drag force is also present, unless the drag force is directly proportional to mass, the terminal velocity will depend on mass.
 

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