Differential free falling bodies

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Homework Help Overview

The discussion revolves around a physics problem involving the motion of a free-falling object under the influence of gravity and air resistance. The subject area includes differential equations and dynamics, specifically focusing on the forces acting on the object and its resulting motion.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the problem, indicating a need for clarification on the use of differential equations. Some participants suggest writing the force or acceleration equations at any instant, while others propose a specific form of the equation involving air resistance and gravity.

Discussion Status

Participants are actively engaging with the problem, exploring different interpretations of the forces involved. Guidance has been offered regarding the formulation of the differential equation, and there is a suggestion to use separation of variables for solving it. However, there is no explicit consensus on the approach yet.

Contextual Notes

The original poster mentions a lack of clarity on how to start the problem, indicating potential constraints in their understanding of the underlying concepts. The discussion also highlights the role of air resistance in the motion of the object, which is a critical factor in the problem setup.

darthxepher
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(i) how you solved this problem,

An object of mass 10 kg is dropped from a great height. (a) If the object is subjected to air resistance equivalent to 10 times the instantaneous velocity, find the velocity. (b) How far does the object drop after 5 sec?

(ii) what you got as a solution,

Don't know how to start. But i know you use differential equations.

(iii) why you think that is wrong.
 
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try writing what the force or acceleration is at any given instant...
 
Would it be 10(dv/dt)=98-10v?
 
looks ok to me, now mass drops out of the equation, as it mulitplies every term..

now you can look at solving, probably a good place for separation of variables - what do you think?
 

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