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)
The molecules are continually colliding with each other and with the walls of the container. When a molecule collides with the wall, they exert<span> small force on the wall The </span>pressure exerted<span> by the </span>gas<span> is due to the sum of all these collision forces.The more particles that hit the walls, the higher the </span>pressure<span>.</span>
The answer is Oceans. It is the most important source of water vapor in the atmosphere. <span>Given the huge amount of water they have and their huge surface areas, naturally the bulk of water which evaporates and enters the atmosphere is from oceans.</span>
You first find the mass and the volume of that object. Then you divide mass ÷ volume