Answer:
The angular speed of the system increases.
The moment of inertia of the system decreases.
Explanation:
As we know that the girl is going towards the center of the circle so here the moment of inertia of the girl is given as
![I = mr^2](https://tex.z-dn.net/?f=I%20%3D%20mr%5E2)
here we know that
r = position of the girl from the center of the disc
now we know that the girl is moving towards the center so its distance will continuously decreasing
So the moment of inertia of the girl will decrease
Now we know that that with respect to the center of the disc there is no torque on the disc + girl system
So here we can use angular momentum conservation
So we have
![I\omega = constant](https://tex.z-dn.net/?f=I%5Comega%20%3D%20constant)
since moment of inertia is decreasing for the system
so angular speed will increase
Answer:
The magnitude of the torque the bucket produces around the center of the cylinder is 26.46 N-m.
Explanation:
Given that,
Mass of bucket = 54 kg
Radius = 0.050 m
We need to calculate the magnitude of the torque the bucket produces around the center of the cylinder
Using formula of torque
![\tau=F\times r](https://tex.z-dn.net/?f=%5Ctau%3DF%5Ctimes%20r)
![\tau=mg\times r](https://tex.z-dn.net/?f=%5Ctau%3Dmg%5Ctimes%20r)
Where, m = mass
g = acceleration due to gravity
r = radius
Put the value into the formula
![\tau=54\times9.8\times0.050](https://tex.z-dn.net/?f=%5Ctau%3D54%5Ctimes9.8%5Ctimes0.050)
![\tau=26.46\ N-m](https://tex.z-dn.net/?f=%5Ctau%3D26.46%5C%20N-m)
Hence, The magnitude of the torque the bucket produces around the center of the cylinder is 26.46 N-m.
Answer:
Soap breaks up the oil into smaller drops, which can mix with the water. It works because soap is made up of molecules with two very different ends (one end of molecules are hydrophilic, so they love water; the other end of molecules is hydrophobic, so they hate water).