How Do Progressive Waves Transfer Energy Through Mediums Like Water?

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SUMMARY

Progressive waves transfer energy through mediums like water by causing particles to vibrate around their equilibrium positions. In transverse waves, particles move perpendicular to the wave's direction, while in longitudinal waves, they move parallel. The wave itself propagates, but individual particles do not travel with the wave; they only oscillate, leading to energy transfer. The equations governing this behavior include v = fλ for wave speed and x = x0cos(ωt + ∅) for particle motion in simple harmonic motion (SHM).

PREREQUISITES
  • Understanding of wave mechanics, specifically progressive waves
  • Familiarity with simple harmonic motion (SHM) concepts
  • Knowledge of wave equations, including v = fλ
  • Basic principles of energy transfer in physical systems
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  • Study the characteristics of transverse and longitudinal waves in detail
  • Explore the mathematical derivation of wave equations and their applications
  • Investigate the effects of different mediums on wave propagation
  • Learn about energy conservation in wave mechanics and its implications
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Students studying physics, educators teaching wave mechanics, and anyone interested in understanding energy transfer through mediums.

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Homework Statement


I know that progressive waves are waves moving through a medium causing disturbance, transmitting energy. However, I'm confused over some concepts:

1)When the source emits out energy in the form of waves, if it passes through a medium such as water, the energy moves at v = fλ through water.

2)Any water particles caught in its path will simply bob up and down with SHM? or will it move along with the wave? so in short, does the wave actually move right or is it simply the energy moving right?

3)If the above is true, then won't simply dropping a stone cause ripples and all water to spread out away from the stone leaving no water left?

4)what determines the distance between the particles that undergo SHM


Homework Equations



For movement? of entire wave
v = fλ

Individual wave particles at undergo SHM
x = x0cos(ωt + ∅)


The Attempt at a Solution


I've tried thinking about it and here are some of my thoughts:

Transverse progressive waves
-particles simply vibrate about their equilibrium position in SHM
-vibration results in an advancing waveform and transfer of energy in direction of propagation
conclusion: wave moves right, particles within wave simply vibrate perpendicular to direction of motion


Longitudinal progressive waves
-Particles vibrate about their equilibrium position
--vibration results in an advancing waveform and transfer of energy in direction of propagation
-conclusion: wave moves right, particles within wave simply vibrate parallel to direction of motion
 
Last edited:
Physics news on Phys.org
Water particles simply vibrate about their postions ; only the energy is transferred away from the point where the waves are produced.
 

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