An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 μF and 60.0 μF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. How much charge will be stored in eah capacitor after a long time has elapsed (capacitor one 2.4 x 10^-3 C) (capacitor 2 7.2 x 10^-3 C) and what will the total charge on both capacitors two time constants after the switch is closed? (8.3 x 10^-3)

Answers

Answer 1

Answer:

[tex]Q_t= 8.3 * 10^3 C[/tex]

Explanation:

From the question we are told that:

Resistor [tex]R=1000ohms[/tex]

Voltage [tex]v=120_V[/tex]

Capacitance of c_1 [tex]c_1=20 \mu F[/tex]

Capacitance of c_2 [tex]c_2=60 \mu F[/tex]

Time [tex]t=0[/tex]

Generally the equation for charges is mathematically given by

[tex]For C_1\\Charge\ on\ C_1 = CV = 20*120 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2.4 x 10^-3 C\\[/tex]

[tex]ForC_2\\Charge on C_2 = 60*120 =7200 μC = 7.2 x 10^-3\\Charge on C_2 = 7.2 x 10^-3[/tex]

Generally the equation for voltage across capacitors is mathematically given by

[tex]V_c(t)=V(1-e^{-t/RC})[/tex]

[tex]C=C_1+C_2=80 \mu f\\t=2RC=>160000s[/tex]

[tex]V_c(t)=120(1-e^{-(160000)/1000*(80)})[/tex]

[tex]V_c(t)=103.7598[/tex]

Generally the equation for charges is mathematically given by

[tex]Q1(t) = C1Vc(t)\\Q1(t) = 20*103.7598\\Q1(t) = 2075.196\\\\Q2(t) = 60*103.7598\\Q2(t) = 6225.6\\[/tex]

Generally the equation for total charges [tex]Q_t[/tex] is mathematically given by

[tex]Q_t=Q1(t)+Q2(t)[/tex]

[tex]Q_t= 8.3 * 10^3 C[/tex]


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a man seeking to set a world record wants to tow a 118,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. the mass of the man is 93 kg, and the coefficient of static friction between his shoes and the runway is 0.79. what is the greatest acceleration the man can give the airplane? assume that the airplane is on wheels that turn without any frictional resistance.

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The greatest acceleration the man can give the airplane is 6.102*10^-3 m/s^2

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The force produced when two surfaces slide past one another and make contact is known as frictional force. The surface texture of these forces and the amount of force pressing them together have the biggest impact.

Mass of the person

m1 = 93kg

Mass of the air plane

m2 = 118000 kg

Coefficient of static friction between the shoes of the person and floor

μs=0.79

Acceleration due to gravity

g=9.8m/s^2

The maximum force the person can apply on the floor is equal to his weight

F = w = m1∗g

         = 93∗9.8=911.4 N

The maximum frictional force he can get from the floor is the product of coefficient of static friction and normal reaction

Ff = μs∗N

   = μs∗W

   = 0.79 ∗ 911.4 = 720 N

Let's assume that the individual is able to use or apply the entire frictional force in pushing the airplane.

Following that, the relationship can be used to determine the acceleration an air plane created.

Ff = m2 * a

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Part(a) The equation for the loop is 0 −1−(R1 +R2)I2+(R3+R2)I3=0

Part(b) The current through the bottom branch 13 is 0.75 A.

(a) This equation is found by applying the loop rule, which states that the sum of voltage drops around a loop is equal to zero. To find the equation, we start at the point, and move clockwise around the loop. At each point, we add the voltage drop of the component connected between that point and the previous point. We then substitute the component values into the equation.

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The lowest frequency of a periodic waveform is known as the fundamental frequency, also known as just the fundamental. The musical pitch of a note that is heard as the lowest partial existent in music is referred to as the fundamental. The fundamental frequency, or frequency of the difference between adjacent frequencies, in terms of a superposition of sinusoids is the lowest frequency sinusoidal in the total of harmonically linked frequencies. The fundamental, which denotes the lowest frequency counting from zero, is sometimes shortened as f₀. It is more typical to shorten it to f1, the first harmonic, in other instances. The zeroth harmonic in this situation would be 0 Hz.

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under what conditions might a pilot expect the possibility of hydroplaning? a. when departing a grooved runway with less than a thousandth of an inch of water. b. when landing on a wet runway that is covered in rubber from previous landings. c. when the adiabatic lapse rate is high, and steam is rising from the landing surface.

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When landing on a wet runway that is covered in rubber from previous landings.

What speed puts you in the greatest risk of hydroplaning?

The majority of auto safety experts concur that hydroplaning would be most likely to happen at speeds greater than 35 mph.As soon when the first droplets land on your windshield, drastically reduce your speed.

Do heavier automobiles hydroplane more frequently?

Vehicle weight: A vehicle has a greater tendency to hydroplane the lighter it is.Asphalt without grooves is more likely to hydroplane than concrete with ribs or grooves.

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When you are playing pool and a moving ball hits a stationary ball and the moving ball stops what happens to the momentum of the moving ball?

Answers

When a moving pool ball hits a stationary ball, some kinetic energy from the moving pool ball is transferred to the stationary ball and it attains momentum.

Both in the case of elastic and inelastic collisions, momentum is preserved. That means the total momentum will always be the same.

Momentum (ρ) is defined as "mass in motion". There are two factors affecting the momentum. Mass(m) and velocity(v).

                       ρ = m×v

So for a stationary object momentum will be 0. When the moving ball hits the stationary ball, it starts moving, because it gets kinetic energy from the moving ball. The total momentum before and after the collision will always be equal.

               mₐ₁× vₐ₁ = mₐ₂×vₐ₂ + m₂ v₂

                 

                     mₐ₁× vₐ₁ is the momentum of ball A before the collision

                     mₐ₂×vₐ₂ is the momentum of ball A after collision

                     m₂ v₂    is the momentum of ball B after  collision.

So the stationary ball begins to move after the collision due to increased kinetic energy and attains some momentum. The total momentum of the system remains the same.

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a 3 * 10 to the power -3 kg copper penny drops a distance of 50 m to the ground. if 65 percent of the initial potentia energy goes into increasing the internal energy of the penny, determine the megnitude of that increase.

can some genius explain this to me please?

Answers

Explanation:

The magnitude of the increase is 0.9555J

Explanation

Potential Energy (PE) = mgh mass(m) = 3 * 10 ^ - 3 * kg

, acceleration due to gravity (g) = 9.8m / (s ^ 2) distance(h) = 50m PE = 3 * 10 ^ - 3 * 9.8 * 50 = 1.47J Increase in internal energy = 65% of 1.47J = 0.65 × 1.47J

= 0.9555J

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Rocky Mountains and Great Plains rock came together to form one rock formation, but then something tore it apart. The first claim is true while the second claim needs to be eliminated

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It should be remembered that the Rocky Mountains and the Great Plains are two separate rock formations that did not form simultaneously. The older rock's minerals were not incorporated into the younger rock as a result.

After combining the rock from the Rocky Mountains and the Great Plains to form one formation, something tore it apart. As a result, the second claim must be rejected because it is false.

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A ship's propeller of diameter 3 m makes 10.6 revolutions in 30
s. What is the angular velocity of the propeller?
a 90.0 rad/s
b 31.8 rad/s
c 2.22 rad/s
d 66.7 rad/s

Answers

Answer:

Approximately [tex]2.22\; {\rm rad\cdot s^{-1}}[/tex].

Explanation:

Each revolution increases the angular displacement of the propeller by [tex]2\,\pi[/tex] radians. Therefore, after [tex]10.6[/tex] revolutions, the angular displacement of the propeller will be [tex](10.6)\, (2\, \pi) = 21.2\,\pi[/tex] radians.

Divide angular displacement by the duration to find the angular velocity of this propeller:

[tex]\begin{aligned}\frac{21.2\, \pi\; {\rm rad}}{30\; {\rm s}} \approx 2.22\; {\rm rad\cdot s^{-1}} \end{aligned}[/tex].

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Insects can change gradually through progressive metamorphosis or completely through total metamorphosis.

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What is the equation that shows the inverse relationship between wavelength and frequency?

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Answer:

V = f * λ           velocity equals frequency * wavelength

If f is increased then λ must decrease for the velocity to remain constant.

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain river normally flows at a speed of 2 miles per hour. What must its speed be in order to transport particles that are 15 times as massive as usual? round your answer to the nearest hundredth.

Answers

Let m and s stand in for mass and speed, respectively. so that,

Its speed must therefore be around 6.58 miles per hour.

m = k

where k is the proportionality constant.

Speed equals 4 miles per hour for a specific river.

m = k

m = 1024k ............ 1

transporting particles with a mass 12 times greater than usual;

12m = k

m = ............. 2

Thus,

= 1024 k

= 12 x 1024

= 12288

12288

s = 6.5750

6.58 miles per hour is s.

Its speed must therefore be around 6.58 miles per hour.

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in the double-slit experiment with electrons, suppose that the observer uses a detector to determine through which slit the electron actually passes. does this affect the outcome of the experiment, and why or why not?

Answers

No matter the detector, the pattern on the screen is still non-interference.

In the double-slit experiment, how does the detector operate?

In the double-double slit experiment, photons are momentum entangled and can share information about each other's which-slit paths if one of them is found near any double slit. If a single slit of a double-slit is blocked, it is possible to determine the which-slit path from the simultaneous photon detection.

What impact does observation have on the double-slit test?

In quantum physics, the double-slit experiment serves as a prominent illustration of the observer effect. The measured outcomes of this experiment can alter if quantum phenomena are observed, according to physicists.

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A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate. (See the figure below (Figure 1) .)

Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 17.0 N, F2 = 27.0 N, and F3 = 13.0 N. The plate and all forces are in the plane of the page. (N.m)

the answer 1.73 is incorrect

Answers

The net torque to that axis due to three forces is 2.554 Nm.

How to calculate the net torque?

[tex]F_1[/tex] = forces 1 = 17 N

[tex]F_2[/tex] = forces 2 = 27 N

[tex]F_3[/tex] = forces 3 = 13 N

α = side of metal plate = 0.18 m

Net torque can be calculated by multiple the forces by distance. For the question, the  [tex]F_1[/tex] will be negative because the forces of [tex]F_3[/tex] will move the square metal plate to that side.

Net torque = [tex]-F_1\frac{a}{2} + F_2\frac{a}{2} + F_3 sin(45)\frac{a}{2} + F_3 cos(45)\frac{a}{2}[/tex]

= [tex]-17\frac{0.18}{2} + 27\frac{0.18}{2} + 13sin(45)\frac{0.18}{2} + 13 cos(45)\frac{0.18}{2}[/tex]

= -1.53 + 2.43 + 0.827 + 0.827

= 2.554 Nm.

Thus, the net torque for that three forces shown in the figure is 2.554 Nm.

You question is incomplete, but most probably your full question was

(image attached)

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Consider the fictional case of the incredible shrinking man. if he shrinks proportionately to 1/10 his original height, his weight will be multiplied by question? 0.1 0.001 0.0001 0.01

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The final weight will be reduced by 0.1 of its original weight.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms(constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given that, fictional shrinking man shrinks proportionately to 1/10 th of his original height.

Let, weight be W.

W = mg

m = ρ V

Then W = ρ V g

Assume the body to be cylinder of radius r and height h, we can write,

W = π r²ρ g h

So, the initial weight is W = π r²ρ g h

After shrinking W becomes W'.

W' = π r²ρ g h/10

Then, W'/W = (π r²ρ g h/10)/π r²ρ g h = 0.1

Thus, the final weight will be reduced by 0.1 of its original weight.

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What is needed in a market for a good to be considered elastic?

Answers

If the amount demand of a product changes more than proportionally as its price rises or falls, then it is said to be elastic.

How is a market made elastic?

The more replacements there are for an item, more elastic the good is, according to definition of an elastic good, which is where change in price results in a large movement in demand. Price elasticity of demand is determined by dividing percentage change in quantity required by the percentage change in price.

Products like cars, appliances, and luxury items that are rarely purchased are examples of elastic commodities. In the event that the cost of these products is momentarily high, consumers may decide to put off buying.

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