Given
Car 1
m1 = 1300 kg
v1 = 20 m/s
m2 = 900 kg
v2 = -15 m/s
(Negative sign shows that direction of car 2 is opposite to car 1)
Procedure
As per the conservation of linear momentum, "The total momentum of the system before the collision must be equal to the total momentum after the collision". And this applies to the perfectly inelastic collision as well. Then the expression is,
![\begin{gathered} m_1v_1+m_2v_2=(m_1+m_2)v \\ v=\frac{m_1v_1+m_2v_2}{m_1+m_2} \\ v=\frac{1300\operatorname{kg}\cdot20m/s-900\operatorname{kg}\cdot15m/s}{1300\operatorname{kg}+900\operatorname{kg}} \\ v=5.681m/s \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m_1v_1%2Bm_2v_2%3D%28m_1%2Bm_2%29v%20%5C%5C%20v%3D%5Cfrac%7Bm_1v_1%2Bm_2v_2%7D%7Bm_1%2Bm_2%7D%20%5C%5C%20v%3D%5Cfrac%7B1300%5Coperatorname%7Bkg%7D%5Ccdot20m%2Fs-900%5Coperatorname%7Bkg%7D%5Ccdot15m%2Fs%7D%7B1300%5Coperatorname%7Bkg%7D%2B900%5Coperatorname%7Bkg%7D%7D%20%5C%5C%20v%3D5.681m%2Fs%20%5Cend%7Bgathered%7D)
Thus, we can conclude that the speed and direction of the cars after the impact is 5.68 m/s towards the first car.
Answer:
The surface tension is 0.0318 N/m and is sufficiently less than the surface tension of the water.
Solution:
As per the question:
Radius of an alveolus, R = ![200\mu m = 200\times 10^{- 6}\ m](https://tex.z-dn.net/?f=200%5Cmu%20m%20%3D%20200%5Ctimes%2010%5E%7B-%206%7D%5C%20m)
Gauge Pressure inside, ![P_{in} = 25\ mmHg](https://tex.z-dn.net/?f=P_%7Bin%7D%20%3D%2025%5C%20mmHg)
Blood Pressure outside, ![P_{o} = 10\ mmHg](https://tex.z-dn.net/?f=P_%7Bo%7D%20%3D%2010%5C%20mmHg)
Now,
Change in pressure, ![\Delta P = 25 - 10 = 15\ mmHg = 1.99\times 10^{3}\ Pa](https://tex.z-dn.net/?f=%5CDelta%20P%20%3D%2025%20-%2010%20%3D%2015%5C%20mmHg%20%3D%201.99%5Ctimes%2010%5E%7B3%7D%5C%20Pa)
Since the alveolus is considered to be a spherical shell
The surface tension can be calculated as:
![\Delta P = \frac{4\pi T}{R}](https://tex.z-dn.net/?f=%5CDelta%20P%20%3D%20%5Cfrac%7B4%5Cpi%20T%7D%7BR%7D)
![T = \frac{1.99\times 10^{3}\times 200\times 10^{- 6}}{4\pi} = 0.0318\ N/m = 0.318\ mN/m](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B1.99%5Ctimes%2010%5E%7B3%7D%5Ctimes%20200%5Ctimes%2010%5E%7B-%206%7D%7D%7B4%5Cpi%7D%20%3D%200.0318%5C%20N%2Fm%20%3D%200.318%5C%20mN%2Fm)
And we know that the surface tension of water is 72.8 mN/m
Thus the surface tension of the alveolus is much lesser as compared to the surface tension of water.
If you put it into English in the comments I would be more then happy to help you! Thank you!
Answer:
I think they use it at night because they want to avoid involving themselves in road accident while crossing the street. When there are reflective strips on their clothes, drivers do notice them even at far ends of the street since the strips will reflect the rays from the car lights to the driver,hence, the driver notifies that there is a pedestrian crossing and therefore slows down.
The answer is C. I hope I helped!