Since everything in the circuit is in series .. .
-- The total resistance is (3 + 2) = 5 ohms.
-- The voltage across the 3-ohm resistor is 3/5 of the total voltage.
-- The voltage across the 2-ohm resistor is 2/5 of the total voltage.
(2/5) of (9 volts) = 18/5 = 3.6 volts .
Answer:
Explanation:
We can use the conservation of the angular momentum.


Now the Inertia is I(professor_stool) plus mR², that is the momentum inertia of a hoop about central axis.
So we will have:

Now, we just need to solve it for ω.

I hope it helps you!
Answer:
The maximum change in flux is 
The average induced emf 
Explanation:
From the question we are told that
The speed of the technician is 
The distance from the scanner is 
The initial magnetic field is 
The final magnetic field is 
The diameter of the loop is 
The area of the loop is mathematically represented as
![A = \pi [\frac{D}{2} ]^2](https://tex.z-dn.net/?f=A%20%20%3D%20%20%5Cpi%20%5B%5Cfrac%7BD%7D%7B2%7D%20%5D%5E2)


At maximum the change in magnetic field is mathematically represented as

=> 

The average induced emf is mathematically represented as



Answer:
Power output = 96.506 watts
Explanation:
Drag coefficient (Cd) = 0.9
V = 7.3 m/s
Air density (ρ) = 1.225 kg/m^(3)
Area (A) = 0.45 m^2
Let's find the drag force ;
Fd=(1/2)(Cd)(ρ)(A)(v^(2))
So Fd = (1/2)(0.9)(1.225)(0.45)(7.3^(2)) = 13.22N
Drag power = Drag Force x Drag velocity.
Thus drag power, = 13.22 x 7.3 = 96.506 watts
To solve this exercise we will use the concept related to heat loss which is mathematically given as

Where,
m = mass
= Specific Heat
Change in temperature
Replacing with our values we have that

Specific heat of mercury

Replacing

Therefore the heat lost by mercury is 0.09J