Answer:
The water molecule cannot escape, since the average velocity of the water molecules is less than one sixth of the escape velocity of venus.
Explanation:
The average speed of gas molecules is given by:
![v_{rms}=\sqrt{\frac{3RT}{M}}](https://tex.z-dn.net/?f=v_%7Brms%7D%3D%5Csqrt%7B%5Cfrac%7B3RT%7D%7BM%7D%7D)
R is the gas constant, T is the temperature and M the molar mass of the gas.
We know that a water molecule has a mass that is 18 times that of a hydrogen atom:
![M_H=1.01*10^{-3}\frac{kg}{mol}\\M_{H2O}=18M_H=0.02\frac{kg}{mol}](https://tex.z-dn.net/?f=M_H%3D1.01%2A10%5E%7B-3%7D%5Cfrac%7Bkg%7D%7Bmol%7D%5C%5CM_%7BH2O%7D%3D18M_H%3D0.02%5Cfrac%7Bkg%7D%7Bmol%7D)
So, we have:
![v_{rms}=\sqrt{\frac{3(8.314\frac{J}{mol \cdot K})740K}{0.02\frac{kg}{mol}}}\\v_{rms}=960.65\frac{m}{s}*\frac{1km}{1000m}=0.96\frac{km}{s}](https://tex.z-dn.net/?f=v_%7Brms%7D%3D%5Csqrt%7B%5Cfrac%7B3%288.314%5Cfrac%7BJ%7D%7Bmol%20%5Ccdot%20K%7D%29740K%7D%7B0.02%5Cfrac%7Bkg%7D%7Bmol%7D%7D%7D%5C%5Cv_%7Brms%7D%3D960.65%5Cfrac%7Bm%7D%7Bs%7D%2A%5Cfrac%7B1km%7D%7B1000m%7D%3D0.96%5Cfrac%7Bkm%7D%7Bs%7D)
The water molecule cannot escape, since the average velocity of the water molecules is less than one sixth of the escape velocity of venus:
![10\frac{km}{s}*\frac{1}{6}=1.6\frac{km}{s}\\0.96\frac{km}{s}](https://tex.z-dn.net/?f=10%5Cfrac%7Bkm%7D%7Bs%7D%2A%5Cfrac%7B1%7D%7B6%7D%3D1.6%5Cfrac%7Bkm%7D%7Bs%7D%5C%5C0.96%5Cfrac%7Bkm%7D%7Bs%7D%3C1.6%5Cfrac%7Bkm%7D%7Bs%7D)
Answer: 10 m/s^2
Explanation:
1) The second law of Newton gives the definition and formula to calculate the net force:
Net force acting on an object = mass * acceleration.
2) From that, when you know the net force acting of the object and its mass, you can solve for the acceleration:
acceleration = Net force / mass
acceleration = 50 N / 5 kg = 10 m/s^2, which is the answer.
A., 101.7 km/h is the correct answer for this question
Answer:
α = 395 rad/s²
Explanation:
Main features of uniformly accelerated circular motion
A body performs a uniformly accelerated circular motion when its trajectory is a circle and its angular acceleration is constant (α = cte). In it the velocity vector is tangent at each point to the trajectory and, in addition, its magnitude varies uniformly.
There is tangential acceleration (at) and is constant.
at = α*R Formula (1)
where
α is the angular acceleration
R is the radius of the circular path
There is normal or centripetal acceleration that determines the change in direction of the velocity vector.
Data
R = 0.0600 m :blade radius
at = 23.7 m/s² : tangential acceleration of the blades
Angular acceleration of the blades (α)
We replace data in the formula (1)
at = α*R
23.7 = α*(0.06)
α = (23.7) / (0.06)
α = 395 rad/s²
Neptune should be the right answer