Answer:
Lowest resonant frequency: ![F_0=114Hz\\](https://tex.z-dn.net/?f=F_0%3D114Hz%5C%5C)
Wave Speed: ![v=198.36 \; m/s](https://tex.z-dn.net/?f=v%3D198.36%20%5C%3B%20m%2Fs)
Explanation:
The lowest resonant frequency
For a fixed string a resonant mode is always a integer multiple of fundamental frequency (the lowest resonant frequency):
![F_n =nF_0](https://tex.z-dn.net/?f=F_n%20%3DnF_0)
Is the frequency for a resonant mode
is fundamental frequency (the lowest resonant frequency).
Due to problem says that there's not intermediate resonant frequencies between 684 Hz and 798 Hz, i.e, they are consecutive resonant modes, equations are as follows:
![684=nF_0 \; (1)\\798=(n+1)F_0 \; (2)](https://tex.z-dn.net/?f=684%3DnF_0%20%5C%3B%20%281%29%5C%5C798%3D%28n%2B1%29F_0%20%5C%3B%20%282%29)
Solving for n from equation (1) and replacing it in the equation (2)
![790=(\frac{684}{F_0} +1)F_0](https://tex.z-dn.net/?f=790%3D%28%5Cfrac%7B684%7D%7BF_0%7D%20%2B1%29F_0)
And finally solving for ![F_0](https://tex.z-dn.net/?f=F_0)
![789=684+F_0 =>F_0=114 \;Hz](https://tex.z-dn.net/?f=789%3D684%2BF_0%20%3D%3EF_0%3D114%20%5C%3BHz)
Wave speed
For a fixed string the wave speed can be calculated by using
![F_0=\frac{V}{2L}](https://tex.z-dn.net/?f=F_0%3D%5Cfrac%7BV%7D%7B2L%7D)
Where V is the wave speed and L is the string length.
So, using this equation and solving for V:
![V=2*L*F_0 => V=2*(0.871 \; m)*114 \; Hz\\V=198.36 \;m/s](https://tex.z-dn.net/?f=V%3D2%2AL%2AF_0%20%3D%3E%20V%3D2%2A%280.871%20%5C%3B%20m%29%2A114%20%5C%3B%20Hz%5C%5CV%3D198.36%20%5C%3Bm%2Fs)
<em>It Is very important convert the string length unit to meters</em>
Answer: True
A water pump
belong to a positive displacement pump that provides constant flow of water at
fixed speed, regardless of changes in the counter pressure. The two main types
of positive displacement pump are rotary pumps and reciprocating pumps.
Moreover, water
pump is a reciprocating positive displacement pump that have an expanding
cavity on the suction side and a decreasing cavity on the discharge side. In
water pumps, the liquid flows into the pumps as the cavity on the suction side
expands and then the liquid flows out of the discharge as the cavity collapses
providing water in a pail.
Answer:
6
Explanation:
Add 10+7+3+4 and then divide your answer by 4
Using the information given, it's not possible to answer that question.
Regarding the cinder block, however . . .
Potential energy = (mass) x (gravity) x (height)
8 joules = (mass) x (9.8 m/s²) x (6 m)
Mass = (8 J) / (9.8 m/s² x 6 m) = 0.136 kg .
(A real cinderblock has about 67 times that much mass.)
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We have no information that would enable us
to answer the question about the apple.