Waves on water generated by a falling object

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SUMMARY

The discussion focuses on the physics of waves generated by a falling object in water, specifically analyzing the relationship between wave amplitude 'a' and the height 'h' from which the object is dropped. It addresses the number of waves produced and the relationship between the amplitudes of successive waves. The scenario assumes a spherical object, prompting questions about the initial shape of the water upon impact. Key principles of fluid dynamics and wave mechanics are essential for understanding these phenomena.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of wave mechanics
  • Familiarity with energy conservation in physics
  • Basic concepts of spherical geometry
NEXT STEPS
  • Research the principles of fluid dynamics related to wave generation
  • Study the mathematical modeling of wave amplitude in relation to impact height
  • Explore the effects of object shape on wave formation in water
  • Learn about energy transfer during impacts and its effect on wave propagation
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Students studying physics, particularly those interested in fluid dynamics, wave mechanics, and energy transfer, as well as educators seeking to enhance their understanding of these concepts in practical scenarios.

experimentX
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Let an object of mass 'm' and volume 'v' be dropped in water from height 'h', and 'a' be the amplitude of the wave generated. What is the relation between 'a' and 'h'. How many waves are generated? What is the relation between relation between the amplitudes of successive waves??

Assume the particle is spherical. What would be the shape of the water that rises creating first wave?



Homework Equations





The Attempt at a Solution


 
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hi experimentX! welcome to pf! :wink:

what equations, or principles, do you know that might help?

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
I don't know where begin with or what to begin with ... I'm not looking for full answer either. I'm just looking for what to begin with and where to end.
 
Last edited:
energy :wink:
 

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