Answer:
a)F=3 x 10⁻⁷ N
b)x=2.405 m
Explanation:
Given that
m₁=295 kg
m₂=595 kg
d= 4.1 m
a)
m₃=63 kg
r=d/2 = 2.05 m
The force between the mass m₁ and m₃
![F_{13}=\dfrac{Gm_1m_3}{r^2}](https://tex.z-dn.net/?f=F_%7B13%7D%3D%5Cdfrac%7BGm_1m_3%7D%7Br%5E2%7D)
by putting the values
![F_{13}=\dfrac{Gm_1m_3}{r^2}](https://tex.z-dn.net/?f=F_%7B13%7D%3D%5Cdfrac%7BGm_1m_3%7D%7Br%5E2%7D)
![F_{13}=\dfrac{6.67\times 10^{-11}\times 295\times 63 }{2.05^2}](https://tex.z-dn.net/?f=F_%7B13%7D%3D%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%20295%5Ctimes%2063%20%7D%7B2.05%5E2%7D)
F₁₃=2.94 x 10⁻⁷ N
The force between the mass m₂ and m₃
by putting the values
![F_{23}=\dfrac{Gm_2m_3}{r^2}](https://tex.z-dn.net/?f=F_%7B23%7D%3D%5Cdfrac%7BGm_2m_3%7D%7Br%5E2%7D)
![F_{23}=\dfrac{6.67\times 10^{-11}\times 595\times 63 }{2.05^2}](https://tex.z-dn.net/?f=F_%7B23%7D%3D%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%20595%5Ctimes%2063%20%7D%7B2.05%5E2%7D)
F₂₃=5.94 x 10⁻⁷ N
The net force F
F= F₂₃- F₁₃
F=5.94 x 10⁻⁷ N-2.94 x 10⁻⁷ N
F=3 x 10⁻⁷ N
b)
Lest take at distance x from mass m₂ net force is zero.
![F_{23}=\dfrac{Gm_2m_3}{x^2}](https://tex.z-dn.net/?f=F_%7B23%7D%3D%5Cdfrac%7BGm_2m_3%7D%7Bx%5E2%7D)
![F_{13}=\dfrac{Gm_1m_3}{(4.1-x)^2}](https://tex.z-dn.net/?f=F_%7B13%7D%3D%5Cdfrac%7BGm_1m_3%7D%7B%284.1-x%29%5E2%7D)
Form above two equation
![\dfrac{Gm_1m_3}{(4.1-x)^2}=\dfrac{Gm_2m_3}{x^2}](https://tex.z-dn.net/?f=%5Cdfrac%7BGm_1m_3%7D%7B%284.1-x%29%5E2%7D%3D%5Cdfrac%7BGm_2m_3%7D%7Bx%5E2%7D)
![\dfrac{m_1}{(4.1-x)^2}=\dfrac{m_2}{x^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bm_1%7D%7B%284.1-x%29%5E2%7D%3D%5Cdfrac%7Bm_2%7D%7Bx%5E2%7D)
![\dfrac{295}{(4.1-x)^2}=\dfrac{595}{x^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B295%7D%7B%284.1-x%29%5E2%7D%3D%5Cdfrac%7B595%7D%7Bx%5E2%7D)
x²=2.01(4.1-x)²
x=1.42 (4.1-x)
x=5.82 - 1.42x
x=2.405 m
Answer: fourth option) <span>the change in the height of a liquid in a tube that is open on one end
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Justification:
When the tube is open the liquid in it is subject to changes in atmosphere pressure, so it cannot not be reliable, because the depending on the weather conditoins and the altitude of the place, the measurement would differ.
The thermometers have to be closed so that the changes in the liquid expansion reflects only the change in temperature.
Note that the other two phenomena (change in pressure of a gas and change in resistances of metals) are very well related to changes in temperature and, so, devices based on them would result in precise temperature measurement devices.
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Answer:
4.) At room temperature, it changes directly from a solid to a gas a process called sublimation. This expansion causes a rapid temperature drop, and some of the carbon dioxide freezes into solid pellets of dry ice.
5.) Balsa wood combines the two elements necessary to a successful flight: strength and lightness. Balsa wood is also easy to cut and carve with just a good, sharp hobby knife or razor saw, so no need for heavy power tools. Or any lighter wood.
6.) Density is mass/volume. So: D=10.7/5
D=2.17g/cm^3
The Swamp
There are many websites that say the rainforest but the rainforest is warmer and gets rain year round and swamps are warm and gets lots of rain but not year round.
The correct answer is; Yes, you can be unconsciously eavesdropping.
Further Explanation:
When this occurs it is called the “The Cocktail Party Phenomenon.” Your mind can focus on one conversation that is being made and drown out all other speech and things going on around you. This makes your brain have auditory attention on one specific conversation.
The sensory hearing in the person listening to the conversation is subconsciously filtering the conversation into its own stream in the brain. This phenomenon can also detect certain words that are important to the person with a large amount of noise in the background.
This occurs in the left hemisphere of the brain in the superior temporal gyrus region.
Learn more about the Cocktail Party Phenomenon at brainly.com/question/14532863
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