Acceleration in Water compared to Air

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SUMMARY

The discussion focuses on calculating the velocity and kinetic energy of an object dropped from a height of 2 meters in water compared to air. While gravitational pull remains constant, water significantly increases resistance due to its density and viscosity. The approach involves applying the same equations of motion as in air but must account for additional forces such as buoyancy and viscous drag. The resistance in water is more pronounced, necessitating a vectorial addition of forces to determine accurate velocity and kinetic energy values.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with fluid dynamics concepts, including buoyancy and viscous forces
  • Knowledge of kinetic energy calculations
  • Basic principles of resistance in different mediums
NEXT STEPS
  • Research the effects of buoyancy on falling objects in fluids
  • Study the principles of viscous drag and its calculation
  • Explore the differences in fluid resistance between air and water
  • Learn about the application of vector forces in physics problems
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Physics students, engineers, and anyone interested in understanding the dynamics of objects in different fluid mediums, particularly in relation to motion and energy calculations.

Rich M
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If an object is dropped in air through a relatively short known height (say 2m) on earth, then ignoring any air resistance its velocity on impacting the ground can be calculated from standard laws of motion. Its kineteic energy at impact can then be calculated if its mass is known. My question is what would be the approach for calculating the velocity and/or kinteic energy for the same object dropped through the same height in water?
 
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Hi there,

As a matter of fact, your object dropped into water will be subject to the same gravitational pull. The only difference is that water will resist the movement much more. But the equations are the same, with the added water resistance factor.

Ok for the simple theory behind it. Fact is that the resistance of air/water or any other medium cannot be considered constant, like we tend to do so in physics 101. The amount of friction developed by the surrounding material is dependent on the velocity of the object (dr/dt) and on a friction coefficient, which is not the same as \mu.
 
Comparing acceleration in air by "ignoring air resistance" to acceleration in water seems kinda like a cheat. Both air and water are fluids and the equations and approach one would use to model the resistance due to air or water are identical. However, in water these resistance effects are simply a lot more pronounced.
 
Need to add (subtact actually) buoyancy force. A ping pong ball will float.
 
Rich M said:
If an object is dropped in air through a relatively short known height (say 2m) on earth, then ignoring any air resistance its velocity on impacting the ground can be calculated from standard laws of motion. Its kineteic energy at impact can then be calculated if its mass is known. My question is what would be the approach for calculating the velocity and/or kinteic energy for the same object dropped through the same height in water?

Adding the forces like vicous force , upthurst force , Gravitational force and any other force if present vectorically will help youfind the velocity , then the kinetic energy
 

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