Hello!
Recall the equation for gravitational force:
![F_g = \frac{Gm_1m_2}{r^2}](https://tex.z-dn.net/?f=F_g%20%3D%20%5Cfrac%7BGm_1m_2%7D%7Br%5E2%7D)
Fg = Force of gravity (N)
G = Gravitational constant
m1, m2 = masses of objects (kg)
r = distance between the objects' center of masses (m)
There is a DIRECT relationship between mass and gravitational force.
We are given:
![F_g = 100N](https://tex.z-dn.net/?f=F_g%20%3D%20100N)
If we were to double one mass and triple another, according to the equation:
![F'_g = \frac{G(2m_1)(3m_2)}{r^2} = 6(\frac{G(m_1)(m_2)}{r^2}) = 6F_g](https://tex.z-dn.net/?f=F%27_g%20%3D%20%5Cfrac%7BG%282m_1%29%283m_2%29%7D%7Br%5E2%7D%20%3D%206%28%5Cfrac%7BG%28m_1%29%28m_2%29%7D%7Br%5E2%7D%29%20%3D%206F_g)
Thus:
![6 * F_g = 6 * 100 = \boxed{600N}](https://tex.z-dn.net/?f=6%20%2A%20F_g%20%3D%206%20%2A%20100%20%3D%20%5Cboxed%7B600N%7D)
Its because the molecules in the solid structures are very close to each other and rigidly packed, thus due to this quantum structure they have pretty awesome speed of sound in them
Resistors tell me if im right
Answer:
The frequency of these waves is ![4.27\times10^{-2}\ Hz](https://tex.z-dn.net/?f=4.27%5Ctimes10%5E%7B-2%7D%5C%20Hz)
Explanation:
Given that,
Wavelength = 6.6 km
Distance = 8810 km
Time t = 8.67 hr
We need to calculate the velocity of sound
Using formula of velocity
![v = \dfrac{D}{T}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7BD%7D%7BT%7D)
Where, D = distance
T = time
Put the value into the formula
![v =\dfrac{8810}{8.67}](https://tex.z-dn.net/?f=v%20%3D%5Cdfrac%7B8810%7D%7B8.67%7D)
![v=1016\ km/hr](https://tex.z-dn.net/?f=v%3D1016%5C%20km%2Fhr)
We need to calculate the frequency
Using formula of frequency
![v=n\lambda](https://tex.z-dn.net/?f=v%3Dn%5Clambda)
![n=\dfrac{v}{\lambda}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7Bv%7D%7B%5Clambda%7D)
Put the value into the formula
![n=\dfrac{1016}{6.6}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B1016%7D%7B6.6%7D)
![n=153.93\ hr](https://tex.z-dn.net/?f=n%3D153.93%5C%20hr)
![n=\dfrac{153.93}{60\times60}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B153.93%7D%7B60%5Ctimes60%7D)
![n=0.0427\ Hz](https://tex.z-dn.net/?f=n%3D0.0427%5C%20Hz)
![n=4.27\times10^{-2}\ Hz](https://tex.z-dn.net/?f=n%3D4.27%5Ctimes10%5E%7B-2%7D%5C%20Hz)
Hence, The frequency of these waves is ![4.27\times10^{-2}\ Hz](https://tex.z-dn.net/?f=4.27%5Ctimes10%5E%7B-2%7D%5C%20Hz)