Answer:
The buoyant force is 9.8 N.
Explanation:
The buoyant force acting on the material is called upthrust, and can be determined as;
Upthrust = density of liquid x volume of object x gravitational force
So,
density = ![\frac{mass}{volume}](https://tex.z-dn.net/?f=%5Cfrac%7Bmass%7D%7Bvolume%7D)
⇒ mass = density x volume
= 4230 x 0.001
= 4.23
mass of the material = 4.23 kg
But,
weight = mass x gravitational force
weight = 41.5 N, and mass = 4.23 kg, then;
41.5 = 4.23 x g
g = ![\frac{41.5}{4.23}](https://tex.z-dn.net/?f=%5Cfrac%7B41.5%7D%7B4.23%7D)
= 9.811
g = 9.8 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
Upthrust = 1000 x 0.001 x 9.81
= 9.81 N
The buoyant force is 9.8 N.
Answer:
B = 1.3734*10^-7 T
Explanation:
I'm going to take a shot at this since I doubt anyone else would, but I might be wrong, so keep that in mind. Okay, with that out of the way, we know the equation for capacitance:
![C = \frac{(epsilon_0)*A}{d}](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B%28epsilon_0%29%2AA%7D%7Bd%7D)
We also know that it is put in series with a resistor. Since it is initially uncharged and is in series with a battery, it is step response. Using KVL, we will get:
![V_{c}(t) = V_{s}[1-e^(\frac{-1}{RC})]](https://tex.z-dn.net/?f=V_%7Bc%7D%28t%29%20%3D%20V_%7Bs%7D%5B1-e%5E%28%5Cfrac%7B-1%7D%7BRC%7D%29%5D)
We also know from Ampere's law, there is a magnetic field because of the current induced (right hand rule). From this we can calculate the magnetic field using a contour integral. We can simplify and avoid using Biot-Savart law by using the path of integration of a circle, thus:
![B(2*pi*r) = (mu)_0 * I](https://tex.z-dn.net/?f=B%282%2Api%2Ar%29%20%3D%20%28mu%29_0%20%2A%20I)
Okay now we got all that out of the way, lets first find the area of the plates so we can use the first equation to get capacitance.
![A = pi*r^2 = (3.14)*(0.0534)^2=0.008958m^2\\(epsilon)_{0} = 8.85*10^-14\\C = \frac{8.85*10^{-14}*0.0089584}{4.8*10^{-4}}\\ C= 1.65171237*10^{-12}F](https://tex.z-dn.net/?f=A%20%3D%20pi%2Ar%5E2%20%3D%20%283.14%29%2A%280.0534%29%5E2%3D0.008958m%5E2%5C%5C%28epsilon%29_%7B0%7D%20%3D%208.85%2A10%5E-14%5C%5CC%20%3D%20%5Cfrac%7B8.85%2A10%5E%7B-14%7D%2A0.0089584%7D%7B4.8%2A10%5E%7B-4%7D%7D%5C%5C%20C%3D%201.65171237%2A10%5E%7B-12%7DF)
Now we need to calculate the current through the capacitor. To do this, use the step response to calculate the voltage drop across the capacitor and then use KVL calculate the current through the resistor. So:
![V_{c}(t) = V_{s}[1-e^{-1}] = 21[1-e^{-1}] = 13.27453174V\\I = (21-13.27453174)/450 = 0.0171677073A](https://tex.z-dn.net/?f=V_%7Bc%7D%28t%29%20%3D%20V_%7Bs%7D%5B1-e%5E%7B-1%7D%5D%20%3D%2021%5B1-e%5E%7B-1%7D%5D%20%3D%2013.27453174V%5C%5CI%20%3D%20%2821-13.27453174%29%2F450%20%3D%200.0171677073A)
Finally Ampere's law:
![B(2(pi)r) = I * mu_0\\B(2(pi)r) = 0.0171677073A * 4(pi)*10^-7\\B(2*0.0250) = 6.867*10^{-9}\\B = 1.373*10^{-7}T](https://tex.z-dn.net/?f=B%282%28pi%29r%29%20%3D%20I%20%2A%20mu_0%5C%5CB%282%28pi%29r%29%20%3D%200.0171677073A%20%2A%204%28pi%29%2A10%5E-7%5C%5CB%282%2A0.0250%29%20%3D%206.867%2A10%5E%7B-9%7D%5C%5CB%20%3D%201.373%2A10%5E%7B-7%7DT)
B = 1.3734*10^-7 T
What do radio waves and microwaves have in Common?
<u>A) Both are at the ideological the spectrum that has the lowest frequency. </u>
B) Both are at the spectrum that has the shortest wavelengths.
C) Both have higher frequencies than visible light.
Plastic, wooden rulers are more permanently compressed compared to plastic rulers which makes plastic more elastic than wood