To solve this problem we will apply the principles of conservation of energy, for which we have to preserve the initial kinetic energy as elastic potential energy at the end of the movement. If said equality is maintained then we can affirm that,
![\text{Initial Energy}=\text{Final Energy}](https://tex.z-dn.net/?f=%5Ctext%7BInitial%20Energy%7D%3D%5Ctext%7BFinal%20Energy%7D)
![\frac{1}{2} mv^2=\frac{1}{2} kx^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20mv%5E2%3D%5Cfrac%7B1%7D%7B2%7D%20kx%5E2)
Here,
m = mass
k = Spring constant
x = Displacement
v = Velocity
Rearranging to find the velocity,
![mv^2 = kx^2](https://tex.z-dn.net/?f=mv%5E2%20%3D%20kx%5E2)
![v^2 = \frac{kx^2}{m}](https://tex.z-dn.net/?f=v%5E2%20%3D%20%5Cfrac%7Bkx%5E2%7D%7Bm%7D)
![v = \sqrt{\frac{kx^2}{m}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7Bkx%5E2%7D%7Bm%7D%7D)
Our values are,
![m = 5.22*10^4kg](https://tex.z-dn.net/?f=m%20%3D%205.22%2A10%5E4kg)
![k = 4.58*10^5N/m](https://tex.z-dn.net/?f=k%20%3D%204.58%2A10%5E5N%2Fm)
![x = 32cm = 0.32m](https://tex.z-dn.net/?f=x%20%3D%2032cm%20%3D%200.32m)
Replacing our values we have,
![v = \sqrt{\frac{(4.58*10^5)(5.22*10^4)}{0.32}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7B%284.58%2A10%5E5%29%285.22%2A10%5E4%29%7D%7B0.32%7D%7D)
![v = 2.733*10^5m/s](https://tex.z-dn.net/?f=v%20%3D%202.733%2A10%5E5m%2Fs)
Therefore the velocity is ![2.733*10^5m/s](https://tex.z-dn.net/?f=2.733%2A10%5E5m%2Fs)
<span>According to the concept of punctuated equilibrium, </span>new species evolve suddenly over relatively short periods of time (a few hundred to a thousand years), followed by longer periods in which little genetic change occurs. Hope this helps. Have a nice day.
Answer:
The correct answer is - Plantae.
Explanation:
Drosera m<em>agnifica</em> is discovered in 2015 for the first time and the characteristics this organism's cell shows are -
- permanent vacuoles
- surrounded by cellulose layer
Vacuoles are present in both Plantae and Animalia kingdom of the eukaryotic organism but in animal cells, there are small and numerous vacuoles present and they are not permanent whereas in plant cells vacuoles are present permanently.
The cell of an animal cell has no surrounding layer other than cell membrane while in the plant cell there is a supporting and protecting layer of cellulose cell wall present.
On the basis of the given characteristics, it is confirmed that the Drosera magnifica belongs to Plantae kingdom.