The energy of a wave is directly proportional to the square of the waves amplitude. Therefore, E = A² where A is the amplitude. This therefore means when the amplitude of a wave is doubled the energy will be quadrupled, when the amplitude is tripled the energy increases by a nine fold and so on.
Thus, in this case if the energy is 4J, then the amplitude will be √4 = 2 .
I'd go with electricity source. Good luck!!
Answer:
0.56 atm
Explanation:
First of all, we need to find the number of moles of the gas.
We know that
m = 1.00 g is the mass of the gas
is the molar mass of the carbon dioxide
So, the number of moles of the gas is
![n=\frac{m}{M_m}=\frac{1.00 g}{44.0 g/mol}=0.023 mol](https://tex.z-dn.net/?f=n%3D%5Cfrac%7Bm%7D%7BM_m%7D%3D%5Cfrac%7B1.00%20g%7D%7B44.0%20g%2Fmol%7D%3D0.023%20mol)
Now we can find the pressure of the gas by using the ideal gas equation:
![pV=nRT](https://tex.z-dn.net/?f=pV%3DnRT)
where
p is the pressure
is the volume
n = 0.023 mol is the number of moles
is the gas constant
is the temperature of the gas
Solving the equation for p, we find
![p=\frac{nRT}{V}=\frac{(0.023 mol)(8.314 J/mol K)(298 K)}{0.001 m^3}=5.7 \cdot 10^4 Pa](https://tex.z-dn.net/?f=p%3D%5Cfrac%7BnRT%7D%7BV%7D%3D%5Cfrac%7B%280.023%20mol%29%288.314%20J%2Fmol%20K%29%28298%20K%29%7D%7B0.001%20m%5E3%7D%3D5.7%20%5Ccdot%2010%5E4%20Pa)
And since we have
![1 atm = 1.01\cdot 10^5 Pa](https://tex.z-dn.net/?f=1%20atm%20%3D%201.01%5Ccdot%2010%5E5%20Pa)
the pressure in atmospheres is
![p=\frac{5.7\cdot 10^4 Pa}{1.01\cdot 10^5 Pa/atm}=0.56 atm](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B5.7%5Ccdot%2010%5E4%20Pa%7D%7B1.01%5Ccdot%2010%5E5%20Pa%2Fatm%7D%3D0.56%20atm)
It would be funny because . I will not be good
Answer:
0.9 N
Explanation:
The force exerted on an object is related to its change in momentum by:
![F=\frac{\Delta p}{\Delta t}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B%5CDelta%20p%7D%7B%5CDelta%20t%7D)
where
F is the force exerted
is the change in momentum
is the time interval
The change in momentum can be rewritten as
![\Delta p = m(v-u)](https://tex.z-dn.net/?f=%5CDelta%20p%20%3D%20m%28v-u%29)
where
m is the mass
u is the initial velocity
v is the final velocity
So the formula can be rewritten as
![F=\frac{m(v-u)}{\Delta t}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7Bm%28v-u%29%7D%7B%5CDelta%20t%7D)
In this problem we have:
is the mass rate
is the initial velocity
is the final velocity
Therefore, the force exerted by the hail on the roof is:
![F=(0.030)(+15-(-15))=0.9 N](https://tex.z-dn.net/?f=F%3D%280.030%29%28%2B15-%28-15%29%29%3D0.9%20N)