The correct option is C) The angle between the vectors is 120°.
Why?
We can solve the problem and find the correct option using the Law of Cosine.
Let A and B, the given two sides and R the resultant (sum),
Then,
![R=A=B](https://tex.z-dn.net/?f=R%3DA%3DB)
So, using the law of cosines, we have:
![R^{2}=A^{2}+B^{2}+2ABCos(\alpha)\\ \\A^{2}=A^{2}+A^{2}+2*A*A*Cos(\alpha)\\\\0=A^{2}+2*A^{2}*Cos(\alpha)\\\\Cos(\alpha)=-\frac{A^{2}}{2*A^{2}}=-\frac{1}{2}\\\\\alpha =Cos(-\frac{1}{2})^{-1}=120\°](https://tex.z-dn.net/?f=R%5E%7B2%7D%3DA%5E%7B2%7D%2BB%5E%7B2%7D%2B2ABCos%28%5Calpha%29%5C%5C%20%5C%5CA%5E%7B2%7D%3DA%5E%7B2%7D%2BA%5E%7B2%7D%2B2%2AA%2AA%2ACos%28%5Calpha%29%5C%5C%5C%5C0%3DA%5E%7B2%7D%2B2%2AA%5E%7B2%7D%2ACos%28%5Calpha%29%5C%5C%5C%5CCos%28%5Calpha%29%3D-%5Cfrac%7BA%5E%7B2%7D%7D%7B2%2AA%5E%7B2%7D%7D%3D-%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Calpha%20%3DCos%28-%5Cfrac%7B1%7D%7B2%7D%29%5E%7B-1%7D%3D120%5C%C2%B0)
Hence, we have that the angle between the vectors is 120°. The correct option is C) The angle between the vectors is 120°
Have a nice day!
Answer:
A. polymerization
Explanation:
Synthetic plastics are made by linking many simple carbon molecules together to form much larger molecules. This process is called polymerization.
Synthetic or artifical giant molecules consists of synthetic polymers such as plastics, elastomers etc. They are made up of simple monomers which links to form the complex and giant structure.
Monomers are the simplest unit of polymers. Polymers have very great sizes. The size mkaes their structure quite complex. This makes the molecules more disposed in a regular pattern with respect to one another.
The complexity of structure and the attendant effects accounts for the properties and uses that makes synthetic molecules very unique. For example, plastics can be extruded as sheets, pipes and or moulded into other objects.
An atom. Hope this helped
Answer:3.51
Explanation:
Given
Coefficient of Friction ![\mu =0.4](https://tex.z-dn.net/?f=%5Cmu%20%3D0.4%20)
Consider a small element at an angle \theta having an angle of ![d\theta](https://tex.z-dn.net/?f=d%5Ctheta%20)
Normal Force![=T\times \frac{d\theta }{2}+(T+dT)\cdot \frac{d\theta }{2}](https://tex.z-dn.net/?f=%3DT%5Ctimes%20%5Cfrac%7Bd%5Ctheta%20%7D%7B2%7D%2B%28T%2BdT%29%5Ccdot%20%5Cfrac%7Bd%5Ctheta%20%7D%7B2%7D)
![N=T\cdot d\theta](https://tex.z-dn.net/?f=N%3DT%5Ccdot%20d%5Ctheta%20)
Friction ![f=\mu \times Normal\ Reaction](https://tex.z-dn.net/?f=f%3D%5Cmu%20%5Ctimes%20Normal%5C%20Reaction)
![f=\mu \cdot N](https://tex.z-dn.net/?f=f%3D%5Cmu%20%5Ccdot%20N)
and ![T+dT-T=f=\mu Td\theta](https://tex.z-dn.net/?f=T%2BdT-T%3Df%3D%5Cmu%20Td%5Ctheta%20)
![dT=\mu Td\theta](https://tex.z-dn.net/?f=dT%3D%5Cmu%20Td%5Ctheta%20)
![\frac{dT}{T}=\mu d\theta](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7BT%7D%3D%5Cmu%20d%5Ctheta%20)
![\int_{T_2}^{T_1}\frac{dT}{T}=\int_{0}^{\pi }\mu d\theta](https://tex.z-dn.net/?f=%5Cint_%7BT_2%7D%5E%7BT_1%7D%5Cfrac%7BdT%7D%7BT%7D%3D%5Cint_%7B0%7D%5E%7B%5Cpi%20%7D%5Cmu%20d%5Ctheta%20)
![\frac{T_2}{T_1}=e^{\mu \pi}](https://tex.z-dn.net/?f=%5Cfrac%7BT_2%7D%7BT_1%7D%3De%5E%7B%5Cmu%20%5Cpi%7D)
![\frac{T_2}{T_1}=e^{0.4\times \pi }](https://tex.z-dn.net/?f=%5Cfrac%7BT_2%7D%7BT_1%7D%3De%5E%7B0.4%5Ctimes%20%5Cpi%20%7D)
![\frac{T_2}{T_1}==e^{1.256}](https://tex.z-dn.net/?f=%5Cfrac%7BT_2%7D%7BT_1%7D%3D%3De%5E%7B1.256%7D)
![\frac{T_2}{T_1}=3.51](https://tex.z-dn.net/?f=%5Cfrac%7BT_2%7D%7BT_1%7D%3D3.51)
Answer:
Steam distillation is a separation process which consists in distilling water together with other volatile and non-volatile components.