Answer:9.75 m/s
Explanation:
Given
Length of ladder ![(L)=5 m](https://tex.z-dn.net/?f=%28L%29%3D5%20m)
Foot the ladder is moving away with speed of ![\frac{\mathrm{d} x}{\mathrm{d} t}=13 m/s](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D13%20m%2Fs)
From diagram
------1
at ![x=3](https://tex.z-dn.net/?f=x%3D3%20)
![y^2=25-9=16](https://tex.z-dn.net/?f=y%5E2%3D25-9%3D16)
![y=4 m](https://tex.z-dn.net/?f=y%3D4%20m)
Now differentiating equation 1 w.r.t time
![2x\frac{\mathrm{d} x}{\mathrm{d} t}+2y\frac{\mathrm{d} y}{\mathrm{d} t}=0](https://tex.z-dn.net/?f=2x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%2B2y%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D0)
![x\frac{\mathrm{d} x}{\mathrm{d} t}=-y\frac{\mathrm{d} y}{\mathrm{d} t}](https://tex.z-dn.net/?f=x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-y%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![3\times 13=-4\times \frac{\mathrm{d} y}{\mathrm{d} t}](https://tex.z-dn.net/?f=3%5Ctimes%2013%3D-4%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![\frac{\mathrm{d} y}{\mathrm{d} t}=-\frac{3\times 13}{4}=-9.75 m/s](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-%5Cfrac%7B3%5Ctimes%2013%7D%7B4%7D%3D-9.75%20m%2Fs)
negative indicates distance is decreasing with time
Answer:
Energy
Explanation:
When an object vibrates, it creates kinetic energy that is transmitted by molecules in the medium. As the vibrating sound wave comes in contact with air particles passes its kinetic energy to nearby molecules. As these energized molecules begin to move, they energize other molecules that repeat the process.
True would be the Correct answer
We will use the ideal gas equation:
PV = nRT, where n is moles and equal to mass / Mr
P = mRT/MrV
P = 15.4 x 8.314 x (22.55 + 273) / 32 x 4.44
P = 266.3 kPa