The rocket works on the principal of action and reaction. Newton's third law of motion.
The answer to this question is: C) Meteor Shower
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)
Correct Answer is B.
In a parallel circuit, the voltage is same across all the branches however the current in each branch is different and depends on the resistance of that branch.
Points to Remember:
1) In series circuit current remains the same and voltage varies
2) In parallel circuit voltage remains the same and current varies