Stuck with a problem from a take home test

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SUMMARY

The discussion focuses on calculating the dissipating speed of kinetic and potential energy for a body in free fall into a viscous fluid. Key formulas include potential energy (PE = mgh) and kinetic energy (KE = (1/2)mv²). The conversation emphasizes the importance of numerical values for accurate calculations and raises considerations regarding aerodynamic drag and terminal velocity, specifically referencing the Reynolds Number for fluid dynamics analysis.

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  • Knowledge of fluid dynamics, specifically viscous fluids
  • Familiarity with Reynolds Number and its significance in fluid motion
  • Basic principles of energy conservation in physics
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joselyn
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A body free fall into a viscous fluid. Calculate the dissipating speed of kinetic and potential energy during this motion into the fluid. ( suppose Yo initial height)
 
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Well, you can't do that if you are given no numerical values! What are you given? The potential energy is, of course, mgh where h is the height of the body. kinetic energy is (1/2)mv2. If there were no dissipation (no viscous fluid) the sum of those (total energy) would be constant. I presume that the "dissapating speed" is the rate at which that sum is decreasing.
 
joselyn said:
A body free fall into a viscous fluid. Calculate the dissipating speed of kinetic and potential energy during this motion into the fluid. ( suppose Yo initial height)
For instance, are you concerned with Aerodynamic Drag ("air resistance") and/or Terminal Velocity?? If so, what Reynold's Number range are you considering??
 

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