An arrow pointing from the bottom of the ramp to the top, I assume it would be friction.
<span>Height = y
T = 5.8 sec
tf = time to fall
ts = time for sound to travel distance y
T = tf + ts = √[2y/g] + y/330
or
(T - y/330)² = 2y/g
a quadratic in y.
</span><span>y = 141.4 m
</span>hope this helps
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
Answer: A.) sensor
Explanation:
Homeostasis is the ability of the organism's inner body to regulate the internal environment in stable state with respect to the changes occurring in the external environment. It is usually done by the feedback controls.
The maintenance of homeostasis within the body is essential. The following are the factors which controls the homeostasis. These includes:
1. Stimulus: It generate a response. It is an external factor which brings change in the internal body of the organism.
2. Receptor/ sensor: It detects the external stimulus and responds to the change.
3. Control center: The information from the receptor travels along the afferent pathway towards the control center. The function of the control center is to determine the response and controls the action.
4. Effector: The information from the control center travels down the efferent pathway to the effector. The function of the effector is to balance the stimulus to regulate and maintain homeostasis.