Un átomo es una porción material menor de un elemento químico que interviene en las reacciones químicas y posee las propiedades características de dicho elemento.
Answer:
![\omega=0.31\frac{rad}{s}](https://tex.z-dn.net/?f=%5Comega%3D0.31%5Cfrac%7Brad%7D%7Bs%7D)
Explanation:
The artificial gravity generated by the rotating space station is the same centripetal acceleration due to the rotational motion of the station, which is given by:
![a_c=\frac{v^2}{r}(1)](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D%281%29)
Here, r is the radius and v is the tangential speed, which is given by:
![v=\omega r(2)](https://tex.z-dn.net/?f=v%3D%5Comega%20r%282%29)
Here
is the angular velocity, we replace (2) in (1):
![a_c=\frac{(\omega r)^2}{r}\\\\a_c=\omega^2r](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7B%28%5Comega%20r%29%5E2%7D%7Br%7D%5C%5C%5C%5Ca_c%3D%5Comega%5E2r)
Recall that
.
Solving for
:
![\omega=\sqrt{\frac{a_c}{r}}\\\omega=\sqrt{\frac{9.8\frac{m}{s^2}}{100m}}\\\omega=0.31\frac{rad}{s}](https://tex.z-dn.net/?f=%5Comega%3D%5Csqrt%7B%5Cfrac%7Ba_c%7D%7Br%7D%7D%5C%5C%5Comega%3D%5Csqrt%7B%5Cfrac%7B9.8%5Cfrac%7Bm%7D%7Bs%5E2%7D%7D%7B100m%7D%7D%5C%5C%5Comega%3D0.31%5Cfrac%7Brad%7D%7Bs%7D)
Answer:
125.83672 seconds
Explanation:
P = Power of the horse = 1 hp = 746 W (as it is not given we have assumed the horse has the power of 1 hp)
m = Mass of professor = 103 kg
g = Acceleration due to gravity = 9.8 m/s²
h = Height of professor = 93 m
Work done would be equal to the potential energy
![W=mgh\\\Rightarrow W=103\times 9.8\times 93\\\Rightarrow W=93874.2\ J](https://tex.z-dn.net/?f=W%3Dmgh%5C%5C%5CRightarrow%20W%3D103%5Ctimes%209.8%5Ctimes%2093%5C%5C%5CRightarrow%20W%3D93874.2%5C%20J)
Power is given by
![P=\frac{W}{t}\\\Rightarrow t=\frac{W}{P}\\\Rightarrow t=\frac{93874.2}{746}\\\Rightarrow t=125.83672\ seconds](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BW%7D%7Bt%7D%5C%5C%5CRightarrow%20t%3D%5Cfrac%7BW%7D%7BP%7D%5C%5C%5CRightarrow%20t%3D%5Cfrac%7B93874.2%7D%7B746%7D%5C%5C%5CRightarrow%20t%3D125.83672%5C%20seconds)
The time taken by the horse to pull the professor is 125.83672 seconds
Here we have to calculate the number of rotations made by earth around its own axis in the entire life time of a human being.
The average human life is 50 years .
Each year is 365.5 days
Hence ![50 years =50 *365.5 days](https://tex.z-dn.net/?f=50%20years%20%3D50%20%2A365.5%20days)
=18,275 days
The earth rotates around its own axis in 23 hours 56 minutes and 4 second which is approximately equal to 24 hours or one days.
Hence one rotation takes one days.
⇒18,275 days =18,275 rotations
Hence the total number of rotations made by earth around its own axis in the life time of a average human life time will be 18,275 times
Answer:
Negative, because the speed is decreasing.