How Do Progressive Waves Transfer Energy Through Mediums Like Water?

In summary, water particles vibrate in SHM and transfer energy as the wave moves through the medium, whether it is transverse or longitudinal. This means that the wave itself moves through the medium while the particles only vibrate in place. The distance between particles undergoing SHM is determined by the wavelength of the wave.
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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
 
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Water particles simply vibrate about their postions ; only the energy is transferred away from the point where the waves are produced.
 

What are progressive waves?

Progressive waves are a type of mechanical wave that transfer energy through a medium by causing particles in the medium to vibrate. These waves move in a continuous and repeating pattern, unlike standing waves which appear to be stationary.

What is the difference between progressive and standing waves?

The main difference between progressive and standing waves is their pattern of movement. Progressive waves move continuously through a medium, while standing waves appear to be stationary. Additionally, progressive waves transfer energy from one point to another, while standing waves do not.

How are progressive waves created?

Progressive waves are created when a source, such as a vibrating object or disturbance, causes the particles in a medium to vibrate. This vibration then travels through the medium, creating a wave. Examples of progressive waves include ocean waves, sound waves, and seismic waves.

What is the relationship between frequency and wavelength in progressive waves?

The frequency of a progressive wave is directly proportional to its wavelength. This means that as the frequency increases, the wavelength decreases and vice versa. This relationship is described by the formula: v = fλ, where v is the wave velocity, f is the frequency, and λ is the wavelength.

How do progressive waves differ from transverse and longitudinal waves?

Progressive waves differ from transverse waves in the direction of particle movement. In transverse waves, particles move perpendicular to the direction of the wave, while in progressive waves, particles move in the same direction as the wave. Longitudinal waves, on the other hand, have particles that move parallel to the direction of the wave.

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