C. 4 N is the answer if not then i be dumb!!!
Answer: c living in a camber in an under water habitat
Explanation:
Answer:
![\displaystyle \Delta x=1.74\ m](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CDelta%20x%3D1.74%5C%20m)
Explanation:
<u>Elastic Potential Energy
</u>
Is the energy stored in an elastic material like a spring of constant k, in which case the energy is proportional to the square of the change of length Δx and the constant k.
![\displaystyle PE = \frac{1}{2}k(\Delta x)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20PE%20%3D%20%5Cfrac%7B1%7D%7B2%7Dk%28%5CDelta%20x%29%5E2)
Given a rubber band of a spring constant of k=5700 N/m that is holding potential energy of PE=8600 J, it's required to find the change of length under these conditions.
Solving for Δx:
![\displaystyle \Delta x=\swrt{\frac{2PE}{k}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CDelta%20x%3D%5Cswrt%7B%5Cfrac%7B2PE%7D%7Bk%7D%7D)
Substituting:
![\displaystyle \Delta x=\sqrt{\frac{2*8600}{5700}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CDelta%20x%3D%5Csqrt%7B%5Cfrac%7B2%2A8600%7D%7B5700%7D%7D)
Calculating:
![\displaystyle \Delta x=\sqrt{3.0175}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CDelta%20x%3D%5Csqrt%7B3.0175%7D)
![\boxed{\displaystyle \Delta x=1.74\ m}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20%5CDelta%20x%3D1.74%5C%20m%7D)
Answer:
![3.4\cdot 10^{-19} J](https://tex.z-dn.net/?f=3.4%5Ccdot%2010%5E%7B-19%7D%20J)
Explanation:
In order to convert the work function of cesium from electronvolts to Joules, we must use the following conversion factor:
![1 eV = 1.6 \cdot 10^{-19} J](https://tex.z-dn.net/?f=1%20eV%20%3D%201.6%20%5Ccdot%2010%5E%7B-19%7D%20J)
In our problem, the work function of cesium is
![E=2.1 eV](https://tex.z-dn.net/?f=E%3D2.1%20eV)
so, we can convert it into Joules by using the following proportion:
![1 eV : 1.6\cdot 10^{-19} J = 2.1 eV : x\\x=\frac{(1.6\cdot 10^{-19} J)(2.1 eV)}{1 eV}=3.4\cdot 10^{-19} J](https://tex.z-dn.net/?f=1%20eV%20%3A%201.6%5Ccdot%2010%5E%7B-19%7D%20J%20%3D%202.1%20eV%20%3A%20x%5C%5Cx%3D%5Cfrac%7B%281.6%5Ccdot%2010%5E%7B-19%7D%20J%29%282.1%20eV%29%7D%7B1%20eV%7D%3D3.4%5Ccdot%2010%5E%7B-19%7D%20J)