This is called the restoring force.
1. neutral particles (neutrons) are in the nucleus
2. nucleus is in the nucleus
3. electron cloud is in the electron cloud
4. positively charged particles (protons) are in the nucleus
5. negatively charged particles (electrons) are in the electron cloud
Answer: 1 = Heat
2=gas
3=it gets hot enough to boil because the metal conducts the heat into the water to heat it up and eventually boil.
Explanation: its common sense
To solve this problem we will apply the concepts related to centripetal acceleration, which will be the same - by balance - to the force of gravity on the body. To find this acceleration we must first find the orbital velocity through the Doppler formulas for the given periodic signals. In this way:
![v_{o} = c (\frac{\lambda_{max}-\bar{\lambda}}{\bar{\lambda}}})](https://tex.z-dn.net/?f=v_%7Bo%7D%20%3D%20c%20%28%5Cfrac%7B%5Clambda_%7Bmax%7D-%5Cbar%7B%5Clambda%7D%7D%7B%5Cbar%7B%5Clambda%7D%7D%7D%29)
Here,
Orbital Velocity
Maximal Wavelength
Average Wavelength
c = Speed of light
Replacing with our values we have that,
![v_{o} = (3*10^5) (\frac{3.00036-3}{3})](https://tex.z-dn.net/?f=v_%7Bo%7D%20%3D%20%283%2A10%5E5%29%20%28%5Cfrac%7B3.00036-3%7D%7B3%7D%29)
<em>Note that the average signal is 3.000000m</em>
![v_o = 36 km/s](https://tex.z-dn.net/?f=v_o%20%3D%2036%20km%2Fs)
Now using the definition about centripetal acceleration we have,
![a_c = \frac{v^2}{r}](https://tex.z-dn.net/?f=a_c%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
Here,
v = Orbit Velocity
r = Radius of Orbit
Replacing with our values,
![a = \frac{(36km/s)^2}{100000km}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B%2836km%2Fs%29%5E2%7D%7B100000km%7D)
![a= 0.01296km/s^2](https://tex.z-dn.net/?f=a%3D%200.01296km%2Fs%5E2)
![a = 12.96m/s^2](https://tex.z-dn.net/?f=a%20%3D%2012.96m%2Fs%5E2)
Applying Newton's equation for acceleration due to gravity,
![a =\frac{GM}{r^2}](https://tex.z-dn.net/?f=a%20%3D%5Cfrac%7BGM%7D%7Br%5E2%7D)
Here,
G = Universal gravitational constant
M = Mass of the planet
r = Orbit
The acceleration due to gravity is the same as the previous centripetal acceleration by equilibrium, then rearranging to find the mass we have,
![M = \frac{ar^2}{G}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Bar%5E2%7D%7BG%7D)
![M = \frac{(12.96)(100000000)^2}{ 6.67*10^{-11}}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B%2812.96%29%28100000000%29%5E2%7D%7B%206.67%2A10%5E%7B-11%7D%7D)
![M = 1.943028*10^{27}kg](https://tex.z-dn.net/?f=M%20%3D%201.943028%2A10%5E%7B27%7Dkg)
Therefore the mass of the planet is ![1.943028*10^{27}kg](https://tex.z-dn.net/?f=1.943028%2A10%5E%7B27%7Dkg)