Answer:
(a) ![V=11.86\ V](https://tex.z-dn.net/?f=V%3D11.86%5C%20V)
(b) ![V=9.76\ V](https://tex.z-dn.net/?f=V%3D9.76%5C%20V)
Explanation:
<u>Electric Circuits</u>
Suppose we have a resistive-only electric circuit. The relation between the current I and the voltage V in a resistance R is given by the Ohm's law:
![V=R.I](https://tex.z-dn.net/?f=V%3DR.I)
(a) The electromagnetic force of the battery is
and its internal resistance is
. Knowing the equivalent resistance of the headlights is
, we can compute the current of the circuit by using the Kirchhoffs Voltage Law or KVL:
![\varepsilon=i.R_i+i.R_e=i.(R_i+R_e)](https://tex.z-dn.net/?f=%5Cvarepsilon%3Di.R_i%2Bi.R_e%3Di.%28R_i%2BR_e%29)
Solving for i
![\displaystyle i=\frac{\varepsilon}{ R_i+R_e}=\frac{12}{0.06+5.2}=2.28\ A](https://tex.z-dn.net/?f=%5Cdisplaystyle%20i%3D%5Cfrac%7B%5Cvarepsilon%7D%7B%20R_i%2BR_e%7D%3D%5Cfrac%7B12%7D%7B0.06%2B5.2%7D%3D2.28%5C%20A)
i=2.28\ A
The potential difference across the headlight bulbs is
![V=\varepsilon -i.R_i=12\ V-2.28\ A\cdot 0.06\ \Omega=11.86\ V](https://tex.z-dn.net/?f=V%3D%5Cvarepsilon%20%20-i.R_i%3D12%5C%20V-2.28%5C%20A%5Ccdot%200.06%5C%20%5COmega%3D11.86%5C%20V)
![V=11.86\ V](https://tex.z-dn.net/?f=V%3D11.86%5C%20V)
(b) If the starter motor is operated, taking an additional 35 Amp from the battery, then the total load current is 2.28 A + 35 A = 37.28 A. Thus the output voltage of the battery, that is the voltage that the bulbs have is
![V=\varepsilon -i.R_i=12\ V-37.28\ A\cdot 0.06\ \Omega=9.76\ V](https://tex.z-dn.net/?f=V%3D%5Cvarepsilon%20%20-i.R_i%3D12%5C%20V-37.28%5C%20A%5Ccdot%200.06%5C%20%5COmega%3D9.76%5C%20V)
Answer:
The technique in which people use machines to learn how to control their bodies is known as D, Biofeedback.
Explanation:
Biofeedback is a variety of different machines that help people learn how to control their bodies depending on their specific needs, varying from things like scalp sensors, electrocardiographs, electromyographs and more.
Answer:
It will go about 45-50 mph.
Explanation:
Depending on what you are hauling.
An advertisement for an all-terrain vehicle (ATV) claims that the ATV can climb inclined slopes of 35°. The minimum coefficient of static friction needed for this claim to be possible is 0.7
In an inclined plane, the coefficient of static friction is the angle at which an object slide over another.
As the angle rises, the gravitational force component surpasses the static friction force, as such, the object begins to slide.
Using the Newton second law;
![\sum F_x = \sum F_y = 0](https://tex.z-dn.net/?f=%5Csum%20F_x%20%3D%20%5Csum%20F_y%20%3D%200)
![\mathbf{mg sin \theta -f_s= N-mgcos \theta = 0 }](https://tex.z-dn.net/?f=%5Cmathbf%7Bmg%20sin%20%5Ctheta%20-f_s%3D%20N-mgcos%20%5Ctheta%20%3D%200%20%7D)
![\mathbf{mg sin \theta =f_s}](https://tex.z-dn.net/?f=%5Cmathbf%7Bmg%20sin%20%5Ctheta%20%3Df_s%7D)
![\mathbf{mg sin \theta =\mu_s N}](https://tex.z-dn.net/?f=%5Cmathbf%7Bmg%20sin%20%5Ctheta%20%3D%5Cmu_s%20N%7D)
N = mg cos θ
Equating both force component together, we have:
![\mathbf{mg sin \theta =\mu_s \ mg \ cos \theta}](https://tex.z-dn.net/?f=%5Cmathbf%7Bmg%20sin%20%5Ctheta%20%3D%5Cmu_s%20%5C%20mg%20%5C%20cos%20%5Ctheta%7D)
![\mathbf{sin \theta =\mu_s \ \ cos \theta}](https://tex.z-dn.net/?f=%5Cmathbf%7Bsin%20%5Ctheta%20%3D%5Cmu_s%20%5C%20%5C%20cos%20%5Ctheta%7D)
![\mathbf{\mu_s = \dfrac{sin \theta }{ cos \theta}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cmu_s%20%3D%20%5Cdfrac%7Bsin%20%5Ctheta%20%7D%7B%20cos%20%5Ctheta%7D%7D)
From trigonometry rule:
![\mathbf{tan \theta= \dfrac{sin \theta }{ cos \theta}}](https://tex.z-dn.net/?f=%5Cmathbf%7Btan%20%5Ctheta%3D%20%5Cdfrac%7Bsin%20%5Ctheta%20%7D%7B%20cos%20%5Ctheta%7D%7D)
∴
![\mathbf{\mu_s =\tan \theta}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cmu_s%20%3D%5Ctan%20%5Ctheta%7D%7D)
![\mathbf{\mu_s =\tan 35^0}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cmu_s%20%3D%5Ctan%2035%5E0%7D%7D)
![\mathbf{\mu_s = 0.700}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cmu_s%20%3D%200.700%7D%7D)
Therefore, we can conclude that the minimum coefficient of static friction needed for this claim to be possible is 0.7
Learn more about static friction here:
brainly.com/question/24882156?referrer=searchResults