2 objects from the same altitude?

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Homework Help Overview

The discussion revolves around the behavior of two objects with different masses dropped from the same altitude, considering the effects of air resistance. Participants explore whether these objects will land at the same time and how their differing masses influence their fall under the influence of frictional forces.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants question the impact of mass on the time it takes for the objects to reach the ground, particularly under the influence of air resistance. Some suggest analyzing the forces acting on each object and drawing free body diagrams to understand the dynamics involved.

Discussion Status

The discussion is ongoing, with participants providing insights into the relationship between mass, gravitational force, and air resistance. There is a recognition of differing opinions on whether the objects will land simultaneously, and some guidance has been offered regarding the equations of motion and the role of terminal velocity.

Contextual Notes

Participants are considering the scenario where air resistance is not negligible, and the objects are assumed to have the same shape, which may influence the frictional forces acting on them. The implications of reaching terminal velocity are also being discussed.

egerol1
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Hello my question is this:

If we throw 2 objects which are same but their masses are different from the same altitude they drop to the land in the same time?

(We consider that the friction force is active it's not negligible
 
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egerol1 said:
Hello my question is this:

If we throw 2 objects which are same but their masses are different from the same altitude they drop to the land in the same time?

(We consider that the friction force is active it's not negligible

Suppose that the drop altitude was high enough that both objects could each terminal velocity for a good portion of their falls. At terminal velocity a body is no longer accelerating. Draw the free body diagram for each. How do the forces add up? Is the terminal velocity the same for each?
 
egerol1 said:
Hello my question is this:

If we throw 2 objects which are same but their masses are different from the same altitude they drop to the land in the same time?

(We consider that the friction force is active it's not negligible

You appear to be saying the two objects have the same shape, so the friction force is the same for both. In which case they do land at the same time.
 
AC130Nav said:
You appear to be saying the two objects have the same shape, so the friction force is the same for both. In which case they do land at the same time.

No, they won't. Write the equation for forces acting and the resulting acceleration. Here's a hint: In the case where no air resistance is acting, the force due to gravity is F = m*g. The acceleration is then given by Newton's second law, so a = F/m, or a = m*g/m = g. All fine and dandy, and just what is expected: everything falls with acceleration g.

Now try the same thing only let air resistance play a part in determining the net force. Just assume that the air resistance is given by some arbitrary function, f(v). How does the result vary with mass?
 
AC130Nav said:
You appear to be saying the two objects have the same shape, so the friction force is the same for both. In which case they do land at the same time.

But the gravitational force is different. :redface:
 

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