To solve this problem it is necessary to apply the concepts related to frequency as a function of speed and wavelength as well as the kinematic equations of simple harmonic motion
From the definition we know that the frequency can be expressed as
![f = \frac{v}{\lambda}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7Bv%7D%7B%5Clambda%7D)
Where,
![v = Velocity \rightarrow 20m/s](https://tex.z-dn.net/?f=v%20%3D%20Velocity%20%5Crightarrow%2020m%2Fs)
![\lambda = Wavelength \rightarrow 35*10^{-2}m](https://tex.z-dn.net/?f=%5Clambda%20%3D%20Wavelength%20%5Crightarrow%2035%2A10%5E%7B-2%7Dm)
Therefore the frequency would be given as
![f = \frac{20}{35*10^{-2}}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B20%7D%7B35%2A10%5E%7B-2%7D%7D)
![f = 57.14Hz](https://tex.z-dn.net/?f=f%20%3D%2057.14Hz)
The frequency is directly proportional to the angular velocity therefore
![\omega = 2\pi f](https://tex.z-dn.net/?f=%5Comega%20%3D%202%5Cpi%20f)
![\omega = 2\pi *57.14](https://tex.z-dn.net/?f=%5Comega%20%3D%202%5Cpi%20%2A57.14)
![\omega = 359.03rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%20359.03rad%2Fs)
Now the maximum speed from the simple harmonic movement is given by
![V_{max} = A\omega](https://tex.z-dn.net/?f=V_%7Bmax%7D%20%3D%20A%5Comega)
Where
A = Amplitude
Then replacing,
![V_{max} = (1*10^{-2})(359.03)](https://tex.z-dn.net/?f=V_%7Bmax%7D%20%3D%20%281%2A10%5E%7B-2%7D%29%28359.03%29)
![V_{max} = 3.59m/s](https://tex.z-dn.net/?f=V_%7Bmax%7D%20%3D%203.59m%2Fs)
Therefore the maximum speed of a point on the string is 3.59m/s
Answer:
A physical change is a change to the physical—as opposed to chemical—properties of a substance. They are usually reversible. The physical properties of a substance include such characteristics as shape (volume and size), color, texture, flexibility, density, and mass.
A group of students toured a limestone cave in northwest Georgia.
Which of these best explains how the limestone caves in Georgia were formed?
A. Plant roots split the rock.
B. Acidic water dissolved the rock.
C. Animals burrowed into the rock.
D. Ice formed and broke up the rock.