Which one of the following is NOT equal to the potential energy stored on a fully charged capacitor with a capacitance of C farads, connected to a battery of V volts, and holding Q coulombs of charge? X A. (Q.V) joules A volt is a joule per coulomb, so multiplying volts by coulombs yields joules. X B. 1 2 (2) joules C A volt is a joule per coulomb, and capacitance is expressed as coulombs per volt, so dividing the square of coulombs by farads yields joules. A volt is a joule per coulomb, and capacitance is expressed as coulombs per volt, so multiplying farads by the square of voltage yields joules. 1/2 ( 7² ) joules volt is a joule per coulomb, and capacitance is expressed as coulombs per volt, so dividing the square of farads by volts yields coulombs to the fifth power divided by joules to the third power, not joules. X C. (C.V²) joules O D. 1 Detailed Guidance Send us feedback. Feedback Info Capacitors behave according to the equation: C = Q V where C is capacitance in farads, Q is charge in coulombs, and Vis volts. Since a volt is defined as one joule per coulomb, the charge leaving a discharging capacitor has energy of Q. Vcap joules. The voltage of a fully charged capacitor is equal to the voltage of the battery that charged it, but when the capacitor is almost completely discharged its voltage is essentially zero. Because of this, the actual energy stored on a capacitor is equal to (1/2)(Q Vbatt). Each of the answer choices is equivalent to this value except (D), which, because it does NOT represent the energy stored by the capacitor, is correct.

Answer:

F=ma,a=0.329m/second squared,m=1300kg,F=1300*0.329=4277N

The maximum power that could be produced by the steam engine is approximately 88.2 kW. The maximum power that could be produced by the steam engine can be calculated using the thermodynamic equation for the efficiency of a Carnot cycle, which is given by:

η = (T₁ - T₂) / T₁

where η is the efficiency, T₁ is the temperature of the heat source, and T₂ is the temperature of the heat sink. In this case, the heat source temperature is unknown, but we can find it using the saturation temperature at the pressure of 6.8 MPa, which is approximately 364°C. Similarly, the temperature at the heat sink pressure of 1.21 MPa is approximately 191°C.

Using the efficiency equation and the given heat input rate of 250 kW, we can calculate the maximum power output of the steam engine as:

P max = η * Qin

where P max is the maximum power output and Qin is the heat input rate. Plugging in the values, we get:

P max = η * 250 kW = (364 - 191) / 364 * 250 kW ≈ 88.2 kW

Therefore, the maximum power that could be produced by the steam engine is approximately 88.2 kW.

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The steel tank can be able to take in a greater air pressure than the balloon.

We have to know that air is a compressible fluid. We must also know that the balloon is an elastic material. The fact is that as you add more air to the balloon the material of the elastic would continue to be stretched.

On the other hand, the steel tank is not elastic but can be able to withstand a greater pressure as you add more air to the tank. The balloon would burst but the tank would not burst.

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The items you own, including furniture, a house, or a car, are called "Material goods".

The correct answer is B - "Material goods"

What are material goods?

"Material goods are those which are tangible. They can be seen, touched and transferred from one place to another. For example, cars, shoes, cloth, furniture, buildings, etc., are all material goods. A material good is an item that consumers can purchase, sell, or trade for other items."

Hence, option B is correct.

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The pattern gets bigger as the light wave length gets longer. other maxima are further from the central one and are wider.

A wavelength is the distance between two identical locations (adjacent crests) in successive cycles in a waveform signals that is transmitted by a wire or in space. Typically, this length is expressed in feet (m), millimeters (cm), or millimeters (mm) in wireless systems (mm).

The distance that separates two wave crests is known as the wavelength, and it also applies to troughs. The number of vibrations that pass across a certain area in a second, or 60hz (Hz), is the unit of measurement for frequency (Hertz).

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(8) The critical angle of a boundary of two materials is the angle of incidence, measured from the normal to the surface.

The critical angle equation can be derived from Snell's law of refraction, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two materials.

(9) Total internal reflection can be applied to optical fibers by using it to confine light inside the fiber.

(10) Three advantages of using optical fibers for communication are:

Low attenuation, Immunity to electromagnetic interference and Large bandwidth.

(11. a) The critical angle for the boundary is  67 degrees.

(11. b) The angle of incidence is 90 degrees.

The critical angle for the boundary can be found by using the critical angle equation derived from Snell's law.

Setting the refractive index of the first material (core) to 1.52 and the refractive index of the second material (cladding) to 1.40, we have:

sin(critical angle) = (1.40)/(1.52) = 0.92

The critical angle can be found using the inverse sine function:

critical angle = sin^-1(0.92) = 67.3 degrees

The angle of incidence at which total internal reflection occurs can be found by setting the angle of refraction to 90 degrees in Snell's law:

sin(90) = (1.52)/sin(angle of incidence)

Solving for the angle of incidence:

angle of incidence = sin^-1((1.52)/(1.40)) = 90 degrees.

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Answer:

The critical angle of a boundary of two materials is defined as the angle of incidence at which the angle of refraction becomes 90°, causing total internal reflection to occur. In other words, it is the minimum angle of incidence required for light to be completely reflected back into the material with the higher refractive index.

The concept of total internal reflection can be applied to optical fibres by using them to guide light through a core with a higher refractive index surrounded by a cladding with a lower refractive index. The light is completely reflected at the core-cladding boundary and guided along the fiber, allowing it to be transmitted over long distances without significant loss of signal. This is the basic principle behind optical fiber communication.

The advantages of using optical fibers for communication are:

High bandwidth: Optical fibers have a much larger bandwidth compared to traditional copper wires, allowing for much faster and more efficient communication.

Immunity to Electromagnetic Interference (EMI): Optical fibers are immune to EMI and do not emit electromagnetic radiation, making them more secure and reliable for communication.

Immunity to environmental factors: Optical fibers are less susceptible to environmental factors such as temperature, humidity, and water damage compared to copper wires, leading to fewer signal disruptions and failures.

a) The critical angle for the boundary can be found using the equation:

sin(Θc) = n2/n1

where n1 is the refractive index of the core (1.52) and n2 is the refractive index of the cladding (1.40). Plugging in these values, we find:

sin(Θc) = 1.40/1.52 = 0.921

Taking the inverse sine of both sides, we find the critical angle:

Θc = sin^-1(0.921) = 63.7°

b) For total internal reflection to happen at the boundary, the angle of incidence must be greater than the critical angle. Thus, the angle of incidence required for total internal reflection to occur is:

Θ = Θc = 63.7°

You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere,  the pressure at the summit is mathematically given as

P= 250mb

Generally, the equation for pressure at the summit is mathematically given as

P= (100-75) * pressure at the surface

Therefore

P= (25/100) x 1000

P= (0.25 x 1000)mb

P= 250mb

In conclusion, the pressure at the summit

P= 250mb

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Answer:

A. an ion with a positive charge

Answer:

A) An ion with a positive charge

The speed of the boy is 120 m/s.

Momentum is a measure of an object's motion. It is defined as the product of an object's mass and velocity. The greater an object's mass or velocity, the greater its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction. The law of conservation of momentum states that the total momentum of a closed system remains constant.

The momentum of the tricycle is;

1.20 x 10^3 kg * 2  m/s

= 2.4 x 10^3 kgm/s

Then the velocity of the boy would be

p = mv

v = p/m

v =  2.4 x 10^3 kgm/s/20

v = 120 m/s

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Astronomers are interested in building observatories capable of detecting neutrinos, cosmic rays, and gravitational waves because these are not forms of light, they can provide information about the objects that emit them that light cannot.

Astronomers study the heavens at X-ray wavelengths using satellites and earth-orbiting observatories. Because X-rays and gamma rays are absorbed high in the Earth's atmosphere, instruments to observe this radiation must be placed in orbit above the atmosphere.

 Astronomy relies on electromagnetic radiation to help us see the universe. It allows us to see (visual light) on Earth. Pulsars, for example, emit X-rays but not visible light, which is how we know they exist. Neutrinos are also made up of energy, but they are made up of radioactive decay.

This enables scientists to measure them despite the fact that they can pass through almost anything without being noticed. Gravitational waves are disturbances caused by the curvature of space that expand at a specific rhythm or "force" that travels at the speed of time. Because they can all be measured without being light, they are ideal for being found in space to create more knowledge about the universe.

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Answer:

Below

Explanation:

Work = force x distance   ==>  the forces during the 3 stages are different

a)   I will assume accel is constant for the first 10 m

             Average velocity = 5/2 = 2.5 m/s

               10 m / 2.5 m/s = 4 seconds

                 then a = 5 m/s / 4 s = 1.25 m/s^2   <==this accel is added to 'g'

                          F = ma

                                = 80 * (9.81 + 1.25) = 884.8 N

                        W = 884.8 * 10 = 8848 J

b)   This one is easier    W = F * d =  (80)(9.81)(10) = 7848 J

c)    Now we decelerate  at 1.25 m/s^2 <==== this SUBTRACTS from g

           W = ( 80 )(9.81-1.25)*10 = 6848 J  

Answer:

C

Explanation:

Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed. C

Answer:

\(\huge\boxed{\sf P.E. = 240\ MJ}\)

\(\huge\boxed{\sf K.E. = 19.6\ MJ}\)

Explanation:

Given:

Mass = m = 200,000 kg

Vertical Distance = h = 120 m

Speed = v = 14 m/s

Acceleration due to gravity = g = 10 m/s²

Required:

1) Gravitational Potential Energy = P.E = ?

2) Kinetic Energy = K.E. = ?

Formula:

1) P.E. = mgh

2) K.E. = \(\displaystyle \frac{1}{2} mv^2\)

Solution:

1) P.E. = (200,000)(10)(120)

P.E. = 240,000,000 Joules

P.E. = 240 Mega Joules

P.E. = 240 MJ

2) K.E. = 1/2 (200000)(14)^2

K.E. = (100000)(196)

K.E. = 19,600,000 Joules

K.E. = 19.6 MJ

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

D. The General Adaptation Syndrome

Explanation:

Hans Selye, an endocrinologist, developed the "Stress Theory." He showed the relationship of "stress" to the person's development of disease.

Under stress, a person's body experiences changes. The person tries to cope with these through three stages: Alarm Reaction Stage, Resistance Stage and Exhaustion Stage. It is at the last stage that a person's immune system is placed at a huge risk. Once the person is exposed to a stressor for a period of time, he becomes hopeless and his body tends to give up coping. He then succumbs to stress-related illness.

Answer:30s

Explanation:

The most common stars, known as red dwarfs, are difficult to observe because of their low luminosity, small size, and cool surface temperatures.

The most common stars in our universe are red dwarfs, which are small and dim compared to other types of stars. They emit most of their light in the infrared spectrum, making them difficult to observe with visible-light telescopes. Additionally, these stars are often surrounded by dust and gas that further obstructs our view of them. Red dwarfs also have long lifespans, so their evolution and behavior occur over much longer timescales than larger, more luminous stars. All of these factors make it challenging to study red dwarfs and understand their properties, despite their abundance in the universe.

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Answer:

\(U=450 \ nJ\)

Explanation:

\(\boxed{\left\begin{array}{ccc}\text{\underline{Formula's used to find the Energy Stored in a Capacitor:}}\\\\\ U=\frac{1}{2}Q \Delta V= \frac{1}{2}C\Delta V^2=\frac{Q^2}{2C} \end{array}\right }\)

Given:

\(Q=30 \ nC \rightarrow 30 \times 10 ^{-8} \ C\\\\C= 10 \ nF \rightarrow 10 \times10^{-8} \ F\)

Find:

\(U=?? \ J\)

\(U=\frac{Q^2}{2C}\\\\\Longrightarrow U= \frac{(30 \times 10 ^{-8})^2}{2(10 \times10^{-8})}\\\\ \Longrightarrow U=4.5 \times10^{-7} \ J\\\\\therefore \boxed{\boxed{U=450 \ nJ}}\)

Thus, the energy stored in the capacitor is found.

TRUEefffffffffffffffffffffffffffff

Explanation:

Answer:

1609.3

Explanation:

Answer:

10

Explanation:

if you put 10 your right

Electrostatics is the study of electric charges at rest. When there is no current, it refers to stationary charges. Electrostatic phenomena are due to the presence of one or more electric charges, the distribution of charges in a system, and their interactions. There are two types of charged particles: positive and negative.

Electrostatics occurs when two oppositely charged particles (such as electrons and protons) are separated by a distance. The combination of charged spheres and separation distance that produces an electrostatic is two oppositely charged spheres separated by a distance. Electrostatics is based on the law of attraction and repulsion between two opposite charges and like charges, respectively.

According to Coulomb's law, the force between two charges is proportional to their magnitudes and inversely proportional to the square of the distance between them.

The electrostatic force between two charges can be calculated using the following equation: F = kq1q2/r2, where F is the electrostatic force between two chargesq1 and q2 are the magnitudes of the charges, r is the distance between the charges, k is Coulomb's constant (9 x 109 Nm2/C2).

The combination of charged spheres and separation distance that produces an electrostatic is two oppositely charged spheres separated by a distance.

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The Hall voltage produced in the aorta can be determined using the formula for Hall voltage. Evaluating the expression, we find VH ≈ 5.22 mV.

Given the magnetic field strength, the diameter of the aorta, and the blood velocity, we can calculate the Hall voltage. In this case, the Hall voltage produced is approximately 5.22 mV.

The Hall voltage (VH) in a conducting material can be calculated using the equation VH = B * d * V, where B is the magnetic field strength, d is the thickness or diameter of the conducting material, and V is the velocity of the charged particles (in this case, blood velocity).

Given that the magnetic field strength (B) is 0.160 T and the diameter of the aorta (d) is 2.60 cm, we first need to convert the diameter to meters by dividing it by 100: d = 2.60 cm / 100 = 0.026 m.

Substituting the given values into the formula, we have VH = (0.160 T) * (0.026 m) * (64.0 cm/s).

To ensure consistency in units, we convert the blood velocity to meters per second: V = 64.0 cm/s / 100 = 0.64 m/s.

Evaluating the expression, we find VH ≈ 5.22 mV. Therefore, a Hall voltage of approximately 5.22 millivolts is produced by the applied magnetic field across the aorta when the blood velocity is 64.0 cm/s.

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Answer:

Workdone = 1960 Joules.

Explanation:

Given the following data;

Mass = 5kg

Force = 49N

Height (distance) = 40m

To find the workdone;

Workdone = force * distance

Substituting into the equation, we have;

Workdone = 49*40

Workdone = 1960 Joules.

Therefore, the amount of work done on the bowling ball to lift it is 1960 Joules.

Answer:

the answer is  b

Explanation:

The particles in the cold water moved at a slow rate until an increase in temperature caused an increase in particle motion in the hot tea.

According to the kinetic theory of matter, the particles that compose matter are in constant random motion. The particles collide frequently with each other as well as with the walls of the container.

The temperature of the system refers to the average kinetic energy of the molecules of the body. At a lower temperature, the speed of the particles of water is slow. As the temperature increases, more kinetic energy is imparted to the molecules of water and they move faster.

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In a pipe system with a 45° reducing bend, the force exerted by water on the bend is found to be 39178 N, acting horizontally to the right. The velocities at the inlet and outlet sections are calculated to be 3.18 m/s and 12.73 m/s respectively, while the pressures at these sections are determined to be 200 Kpa and 124030 N/m². The forces in the Y-direction balance each other, resulting in a net force of zero in that direction.

Based on the given data, we are considering a pipe system with two sections: section 1 and section 2. Section 1 has a diameter of 600mm (0.6m) and a corresponding area (A1) of 0.2827m².

Section 2 has a diameter of 300mm (0.3m) and an area (A2) of 0.07068m². The discharge of water through the system is given as 0.9 m³/s.

Using the discharge and the respective areas, we can calculate the velocities at section 1 (V1) and section 2 (V2) using the formula Q/A. V1 is found to be 3.18 m/s, while V2 is calculated as 12.73 m/s.

The pressure at section 1 (P1) is specified as 200 Kpa, which is equivalent to 200000 N/m². To determine the pressure at section 2 (P2), we apply Bernoulli's equation, assuming no change in elevation (Z1 = Z2). This calculation results in P2 being approximately 124030 N/m².

To find the force exerted by the water on the reducer, we utilize the equation

∑(Force) = (Pressure1 * Area1) - (Pressure2 * Area2).

After substituting the values, we find that the force exerted by the water on the reducer is 39178 N. Additionally, it is important to note that the forces in the Y-direction balance each other out, resulting in Fy = 0.

Therefore, the force exerted by the water on the reducer is entirely in the X-direction, with a magnitude of 39178 N to the right.

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The wavelength of a 2.6 MHz ultrasound wave traveling through aluminum is 0.06 mm.

We know that the speed of sound in aluminum (v) is 6420 m/s. This value can be looked up in a table or provided in the question. The formula to find the wavelength of a wave is:

Wavelength (λ) = speed (v) / frequency (f)

where λ is measured in meters, v is measured in meters per second, and f is measured in hertz.

To use this formula, we need to convert the frequency of the ultrasound wave from megahertz (MHz) to hertz (Hz):

2.6 MHz = 2,600,000 Hz

Now we can plug in the values and solve:

λ = v / f

λ = 6420 m/s / 2,600,000 Hz

λ ≈ 0.00006 m or 0.06 mm (rounded to two decimal places)

Therefore, the wavelength of a 2.6 MHz ultrasound wave traveling through aluminum is 0.06 mm.

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The board's displacement during the acceleration time after the sailboard was hit by the gust is 32.9 m.

The magnitude of the board's displacement can be calculated with the following equation:

\(x_{f} = x_{i} + v_{i}t + \frac{1}{2}at^{2}\)

Where:

\( x_{f} \): is the final displacement =?

\( x_{i} \): is the initial displacement = 0

\(v_{i}\): is the initial velocity  

t: is the time = 5.42 s

a: is the acceleration = 0.714 m/s²  

Since the hits the sailboard at 48.8° from the original direction, the initial velocity is:  

\(v_{i} = v*cos(\theta) = 6.28 m/s*cos(48.8) = 4.14 m/s\)

Hence, the displacement is:

\(x_{f} = v_{i}t + \frac{1}{2}at^{2} = 4.14 m/s*5.42 s + \frac{1}{2}0.714 m/s^{2}*(5.42 s)^{2} = 32.9 m\)

Therefore, the magnitude of the board's displacement is 32.9 m.

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The key phrase which describes zero (0) initial velocity is from rest.

When the velocity of an object at initial time is zero (0), it implies that the change in the displacement of the object with time is zero

\(v= \frac{\Delta x}{\Delta t} \\\\v_0 = 0\)

Generally, when an starts its motion from rest, the initial velocity of the object will be zero. As the object acquires more momentum, the velocity increases with time.

Thus, we can conclude that the key phrase which describes zero (0) initial velocity is from rest.

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