<span>Earth sciences are the sciences that study the earth and space through natural observations, structure, and morphology. This science investigates the behavior of the earth in relation to space and determines its elements and characteristics and is part of the planetary studies and the planets of the solar system.</span>
Gravitational potential energy.
As the rider falls, the GPE is converted into kinetic energy.
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Answer
given,
Length of the string, L = 2 m
speed of the wave , v = 50 m/s
string is stretched between two string
For the waves the nodes must be between the strings
the wavelength is given by
![\lambda = \dfrac{2L}{n}](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cdfrac%7B2L%7D%7Bn%7D)
where n is the number of antinodes; n = 1,2,3,...
the frequency expression is given by
![f = n\dfrac{v}{2L}](https://tex.z-dn.net/?f=f%20%3D%20n%5Cdfrac%7Bv%7D%7B2L%7D)
now, wavelength calculation
n = 1
![\lambda_1 = \dfrac{2\times 2}{1}](https://tex.z-dn.net/?f=%5Clambda_1%20%3D%20%5Cdfrac%7B2%5Ctimes%202%7D%7B1%7D)
λ₁ = 4 m
n = 2
![\lambda_2 = \dfrac{2\times 2}{2}](https://tex.z-dn.net/?f=%5Clambda_2%20%3D%20%5Cdfrac%7B2%5Ctimes%202%7D%7B2%7D)
λ₂ = 2 m
n =3
![\lambda_3 = \dfrac{2\times 2}{3}](https://tex.z-dn.net/?f=%5Clambda_3%20%3D%20%5Cdfrac%7B2%5Ctimes%202%7D%7B3%7D)
λ₃ = 1.333 m
now, frequency calculation
n = 1
![f = n\dfrac{v}{2L}](https://tex.z-dn.net/?f=f%20%3D%20n%5Cdfrac%7Bv%7D%7B2L%7D)
![f_1 =1\times \dfrac{50}{2\times 2}](https://tex.z-dn.net/?f=f_1%20%3D1%5Ctimes%20%5Cdfrac%7B50%7D%7B2%5Ctimes%202%7D)
f₁ = 12.5 Hz
n = 2
![f = n\dfrac{v}{2L}](https://tex.z-dn.net/?f=f%20%3D%20n%5Cdfrac%7Bv%7D%7B2L%7D)
![f_2 =2\times \dfrac{50}{2\times 2}](https://tex.z-dn.net/?f=f_2%20%3D2%5Ctimes%20%5Cdfrac%7B50%7D%7B2%5Ctimes%202%7D)
f₂= 25 Hz
n = 3
![f = n\dfrac{v}{2L}](https://tex.z-dn.net/?f=f%20%3D%20n%5Cdfrac%7Bv%7D%7B2L%7D)
![f_3 =3\times \dfrac{50}{2\times 2}](https://tex.z-dn.net/?f=f_3%20%3D3%5Ctimes%20%5Cdfrac%7B50%7D%7B2%5Ctimes%202%7D)
f₃ = 37.5 Hz