It takes 18.4 J of energy to move a 13.0-mC charge from one plate of a 17.0-uF capacitor to the other. hiw much charge is on each plate? assume constant voltage.

Answers

Answer 1

The charge on each plate of the capacitor is 9.12 mC.

The potential energy stored in a capacitor is given by the equation U = (1/2)QV where U is the energy, Q is the charge, and V is the potential difference between the plates.

In this problem, the energy required to move the charge from one plate to the other is given as 18.4 J. Therefore, we can write: 18.4 J = (1/2)QV ...(1)We know that the capacitance C of a capacitor is given by the equation C = Q/V. Rearranging this equation, we get V = Q/C.

Substituting this in equation (1), we get:18.4 J = (1/2)Q(Q/C)Simplifying this equation:Q² = (2 × 18.4 × 10⁻³ × 17 × 10⁻⁶)Q² = 0.06256mC²Q = 0.25mC

The charge on each plate of the capacitor is half of the total charge. Therefore: Q on each plate = (0.25/2) mC = 0.125 mC = 9.12 mC (approx)Therefore, the charge on each plate of the capacitor is 9.12 mC.

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Related Questions

A car drives around a racetrack for 30 seconds. What do you need to know to

calculate the instantaneous speed of the car at a given point?

Answers

Answer:

The Velocity at which it travels, and the Distance from start to finish.

Explanation:

Calculate V*D=T which is Velocity*Distance=Time.

a) Explain the following terms in brief: i) Infiltration capacity ii) Infiltration rate iii) Infiltration b-index b) During a storm the rate of rainfall observed at a frequency of 15min for one hour are 12.5, 17.5, 22.5, and 7.5cm/h. if the Phi-index is 7.5cm/h calculate the total run-off. c) The observed annual runoff from the basin of an area 500Km? Is 150Mm" and the corresponding annual rainfall over the basin during the same year is 750mm. what is the runoff coefficient?

Answers

i) Infiltration capacity: Infiltration capacity refers to the maximum rate at which water can penetrate or infiltrate into the soil surface.

ii) Infiltration rate: Infiltration rate represents the actual rate at which water is infiltrating into the soil. It is the speed or velocity at which water is penetrating the soil surface

iii) Infiltration b-index: The infiltration b-index is a parameter used to estimate the soil moisture retention characteristics and infiltration rate of a soil.

b) To calculate the total runoff, we need to determine the excess rainfall for each time interval and sum them up.

Excess rainfall = Rainfall rate - Phi-index

For the four intervals:

Excess rainfall1 = 12.5 cm/h - 7.5 cm/h = 5 cm/h

Excess rainfall2 = 17.5 cm/h - 7.5 cm/h = 10 cm/h

Excess rainfall3 = 22.5 cm/h - 7.5 cm/h = 15 cm/h

Excess rainfall4 = 7.5 cm/h - 7.5 cm/h = 0 cm/h

Now, we can calculate the total runoff by summing up the excess rainfall for all intervals:

= 5 cm/h + 10 cm/h + 15 cm/h + 0 cm/h

= 30 cm/h

c) The runoff coefficient can be calculated by dividing the observed annual runoff by the corresponding annual rainfall.

Converting the units to the same length scale:

Annual runoff = 150 Mm³ = 150,000,000,000 m³

Annual rainfall = 750 mm = 0.75 m

Runoff coefficient = 150,000,000,000 m³ / 0.75 m

= 200,000,000,000

Infiltration refers to the process by which water enters and permeates into the soil or porous surfaces. It occurs when precipitation, such as rain or snow, falls onto the ground and is absorbed into the soil or surface materials. Infiltration plays a crucial role in the water cycle and is a key process in hydrology.

The rate of infiltration is influenced by various factors, including soil type, vegetation cover, slope gradient, and the initial moisture content of the soil. Soils with high permeability, such as sandy soils, typically have a higher infiltration rate compared to soils with low permeability, such as clay soils. Infiltration is important for replenishing groundwater reserves, as it allows water to percolate downward and recharge aquifers. It also helps to reduce surface runoff, erosion, and flooding by absorbing and storing water within the soil profile.

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What indicates that two objects are in thermal equilibrium?

Responses

The objects' temperatures are changing.
The objects' temperatures are changing.

The objects are the same size.
The objects are the same size.

The objects have the same temp

Answers

Answer:

Option (c) is the correct answer.

Explanation: When two substances does not exchange any energy with each other then they are said to be in thermal equilibrium with each other. This means the temperature of both the substances will be equal, that is why, there is no exchange of energy between them. Thus, we can conclude that when the objects have the same temperature then you can tell the two objects are in thermal equilibrium.

The energy diagram shows the changes in energy during a chemical reaction.
Which statement best describes the total energy change of the system?
Potential energy
Reaction progress
A. The products have higher potential energy, and energy is released.
OB. The reactants have higher potential energy, and energy is
absorbed.
C. The products have higher potential energy, and energy is
absorbed
D. The reactants have higher potential energy, and energy is released.

Answers

Answer: The Energy Change

Explanation: change for a chemical reaction can either be exothermic if it gives off heat or endothermic if it requires heat to proceed.  in a chemical reaction is due to the difference in the amounts of stored chemical energy between the products and the reactants. This stored chemical energy, or heat content, of the system is known as its enthalpy. energy changes that occur during a chemical reaction can be shown in a diagram called a potential energy diagram, or sometimes called a reaction progress curve. A potential energy diagram shows the change in potential energy of a system as reactants are converted into products.

the magnetic portion of a standard circuit breaker? select one: a. provides an instantaneous trip for high levels of current b. protects the circuit from heat damage generated by lower level currents c. prevents the device from tripping due to a short circuit d. provides a trip delay for high levels of current

Answers

Fuse, breakers, and other overcurrent protection devices set an appropriate current limit and sever short circuits.

The size of the overcurrent protection system depends on the overcurrent protection system type and the maximum current that can travel through the circuit components. National codes specify the size and design of the overcurrent protection system. The size of the overcurrent protection devices is typically determined by the array's short-circuit current.

The PV is a limited current source, meaning that the short-circuit current is the highest current produced by this source, which is the major justification for choosing the array's short-circuit current.

The distribution lines of electric grids integrated with DER are safeguarded by an overcurrent protection system. The phase overcurrent protection and the ground overcurrent protection are two further classifications for this protection strategy. Depending on the distribution method, the relays employed in such schemes could be either directional (functioning for in-front events) or nondirectional (working for all). Radial distribution systems are where nondirectional relays are most frequently employed.

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The string shown is replaced with a shorter string, but all other factors remain the same as before. Did the force change?

Answers

Changing the length of a string may alter the force in a physical system, like a pulley mechanism, if it impacts its tension and length.

How to explain the change

Nonetheless, regarding a digital system such as a software application, replacing the string with another one that does not affect any crucial factors is improbable to cause an alteration in said force amount.

Determining whether changing a component of a method leads to any modifications in strength requires recognizing essential aspects influencing that force while keeping in mind how this modification might hinder these key elements.

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If Ari's mass is 50 kg, Bari's mass is 70 kg, and Bari's initial jump height is 4 m.



What is Ari's final vertical jump height? ​

If Ari's mass is 50 kg, Bari's mass is 70 kg, and Bari's initial jump height is 4 m.What is Ari's final

Answers

Ari's final vertical jump height is 5.2 m.

What is Ari's final vertical jump height? ​

Ari's final vertical jump height is calculated from the law of conservation of energy as shown below.

P.E ( of Ari ) = P.E ( of Bari )

m1gh1 = m2gh2

where;

m1 is the mass of Arim2 is the mass of Barih1 is the final height of Airh2 is the initial height of Bari

h1 = ( m2h2 ) / ( m1 )

h1 = ( 70 x 4 ) / ( 50 )

h1 = 5.6 m

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what is epicentre answer me​

Answers

Answer:

the point on the earth’s surface where the effects of a sudden movement (earthquake) are felt most strongly

पृथ्‍वी का वह भाग जहाँ भूकंप का झटका सबसे अधिक महसूस किया जाता है; अधिकेंद्र

Explanation:

Marie kon hai bro

the point on the earth's surface vertically above the focus of an earthquake.
the central point of something, typically a difficult or unpleasant situation.
"the patient was at the epicenter of concern"


10. A tennis ball rolled off the edge of a table that has a height of 1,00 m.

The ball took 0.45 s to hit the ground 0.72 m from the table. What was the horizontal velocity
of the ball as it rolled off the table?

10. A tennis ball rolled off the edge of a table that has a height of 1,00 m.The ball took 0.45 s to

Answers

Answer:

The answer is "\(1.6\ \frac{m}{s}\)"

Explanation:

Distance= 0.72 meter

time= 0.45 second

The formula for horizontal velocity:

\(horizontal \ velocity = \frac{distance}{time}\\\\\)

                               \(=\frac{0.72}{ 0.45}\\\\= 1.6 \ \frac{m}{s}\\\\\)

A petrol tanker ha 2800kg when empty and hold 30m3 0f petrol when full. The denity of petrol i 740kg/m3. Calculate the ma of the tanker when full of petrol

Answers

The mass of the tanker with petrol is 250000 N.

We are given that,

Mass of tanker= m =2800 kg

Volume of petrol= v =30 m³

Density of petrol= d =740 kg/m³

Thus , mass , density and volume relation can be given as,

density= mass/ Volume

Mass = Density × Volume

Mass = 740× 30

Mass = 22200 kg

The mass of the petrol is 22200 kg.

Total mass of tanker with petrol = Mass of petrol + Mass of tanker

Total mass of tanker with petrol= 22200+ 2800 kg

Total mass of tanker with petrol= 25000 kg

Total weight of the tanker with petrol = Mass of tanker full of petrol× g

Where, weight = m × g ,(g =10m/s²)

Total weight of the tanker with petrol= 25000×10 = 250000 N

Therefore, the mass of petrol, total mass of tanker with petrol and weight of tanker with petrol would be  22200 kg, 25000 kg and 250000 N.

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I n it in 20 minutes
JL.61 A producer of refrigerator compressors wants to implement
a just-in-time production line to support demand from a neighboring
appliance manufacturer. Demand from the applian

Answers

The producer of refrigerator compressors needs to determine the number of kanbans required for implementing a just-in-time production line to meet the demand for 150 compressors per day from a neighboring appliance manufacturer.

To calculate the number of kanbans required, we need to consider the production lead time, safety stock factor, and optimal production quantity. The production lead time is 5 days, which means that it takes 5 days to produce a batch of compressors once the production process starts.

The safety stock factor is 17%, indicating that the producer wants to maintain an additional 17% of the daily demand as safety stock to mitigate any unforeseen fluctuations. The optimal production quantity is 95 units, which is the batch size that minimizes setup costs.

To determine the number of kanbans, we first need to calculate the total demand during the production lead time. Since the demand is 150 compressors per day and the lead time is 5 days, the total demand during the lead time is 150 compressors/day * 5 days = 750 compressors. Adding the safety stock, the total demand becomes 750 compressors + (17% * 150 compressors) = 750 compressors + 25.5 compressors = 775.5 compressors.

Next, we divide the total demand by the optimal production quantity to get the number of kanbans required. The number of kanbans is calculated as 775.5 compressors / 95 compressors per kanban = 8.16 kanbans. Since we cannot have a fraction of a kanban, we round up to the nearest whole number. Therefore, the producer of compressors requires 9 kanbans to meet the demand of 150 compressors per day from the neighboring appliance manufacturer.

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The complete question is:

A producer of refrigerator compressors wants to implement a just-in-time production line to support demand from a neighboring appliance manufacturer. Demand from the appliance manufacturer is for 150 compressors a day. The production lead time is 5 days and the producer wants to have a 17% safety stock factor. This producer has also cut setup costs such that the optimal production quantity is 95 units. How many kanbans does this producer of compressors require?

Which of the following statements is NOT correct for eclipses in the SunEarth-Moon system? An eclipse of the Mopn occurs only at full Moon.
An eclipse of the Sun occurs only at new Moon. An ecipse of the Sun occurs at only full Moon Eclipses of Moon and Sun do not occurat quarter Moon phases.

Answers

Answer: An eclipse of the Sun occurs at only full Moon

Explanation:

A 300 kg snowmobile is traveling at 30 m/s. How fast would a 200 kg snowmobile need to travel to have
the same momentum?

Answers

A 200 kg snowmobile having the same momentum will travel at 45 m/s.

What is momentum?

Momentum of an object is the product of mass and speed of an object.

P = mv

where;

m is mass of the objectv is speed of the object

m₁v₁ = m₂v₂

v₂ = m₁v₁/m₂

v₂ = (300 x 30)/200

v₂ = 45 m/s

Thus, a 200 kg snowmobile having the same momentum will travel at 45 m/s.

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which of the following would you be most likely to find in a well-constructed speech introduction?

Answers

In a well-constructed speech introduction, several elements can be found to engage the audience and set the stage for the main topic. such as Attention-Grabbing Hook, Relevance and Context, Main Idea and Credibility and Expertise

Attention-Grabbing Hook: A well-constructed speech introduction usually begins with an attention-grabbing hook that captures the audience's interest and makes them want to listen further. This could be a surprising statistic, an intriguing anecdote, a thought-provoking question, or a compelling quote related to the speech topic.

Relevance and Context: The introduction should provide a brief overview of the topic and its relevance to the audience. It helps to establish why the topic is important, how it relates to the audience's interests or experiences, and why they should care about it.

Thesis Statement or Main Idea: A clear and concise thesis statement is often included in the speech introduction. It presents the main idea or argument that the speech will focus on and provides a roadmap for the audience to follow along.

Credibility and Expertise: If applicable, the introduction may also include the speaker's credentials or expertise related to the topic. This establishes the speaker's credibility and helps to build trust with the audience.

By incorporating these elements, a well-constructed speech introduction can effectively capture the audience's attention, establish the relevance of the topic, provide a clear main idea, build the speaker's credibility, and set the stage for the rest of the speech.

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At which reference point should your vehicle appear to intersect with the curb when parallel parking?

Answers

The reference point at which vehicle appear to intersect the curb is 2.22km.

To ensure that every parallel park is successfully completed, it is crucial to employ a structured technique and to practice it until a level of proficiency is attained. However, contrary to popular belief, it need not be completed in a single seamless maneuver.

During the maneuver, it is acceptable to advance and make adjustments as long as you do so safely and keep an eye on your surroundings at all times.

Utilizing reference points, a structured technique is applied. Whatever method is used to parallel park, using reference points will help new drivers complete this maneuver.

You should slightly pass the car you plan to park behind. The front of this car is aligned with the center of your passenger-side front window in reference point.

\(Reference=\frac{\pi }{\sqrt{2} }\)

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After a recent snow storm, you decide to sled down a hill in Fairmount Park. You take a running start and hit the slope with an initial velocity of 4.9 m/s. You then begin to accelerate at 4.2 m/s^2 for 4.7 seconds. How many meters will you travel in that time?


Here's what you need to know below:

After a recent snow storm, you decide to sled down a hill in Fairmount Park. You take a running start
After a recent snow storm, you decide to sled down a hill in Fairmount Park. You take a running start

Answers

Answer:

69.42 m

Explanation:

From the question given above, the following data were obtained:

Initial velocity (vᵢ ) = 4.9 m/s

Acceleration (a) = 4.2 m/s²

Time (t) = 4.7 s

Displacement (Δx) =?

Thus, we can obtain the displacement by using the following formula:

Δx = vᵢt + ½at²

Δx = (4.9 × 4.7) + (½ × 4.2 × 4.7²)

Δx = 23.03 + (2.1 × 22.09)

Δx = 23.03 + 46.389

Δx = 69.419 ≈ 69.42 m

Thus, the distance travelled is 69.42 m

A 15 kg ball is launched forward from a height of 25 m. What is the net force of the ball

Answers

Answer:

147 newton.

Explanation:

Force is the product of mass and acceleration. The formula of force is given below: Force =  mass x acceleration, but due to height we put gravity instead of acceleration. So by putting values of mass i. e. 15 kg and gravity i. e. 9.8 meter/ second in the formula we get the net force of the ball which is 147 newton or 147 kg meter/second square.

A bullet traveling horizontally at a speed of 350 m/s hits a board perpendicular to the surface, passes through it, and emerges on the other side at a speed of 210 m/s. If the board is 4.00 cm thick, how long does the bullet take to pass through it? (Assume a constant deceleration as the bullet passes through the board.)

Answers

Answer:

0.14 ms

Explanation:

Given:

Δx = 0.0400 m

v₀ = 350 m/s

v = 210 m/s

Find: t

Δx = ½ (v + v₀) t

0.0400 m = ½ (210 m/s + 350 m/s) t

t = 0.00014 s

t = 0.14 ms

A single particle in a transverse traveling wave undergoes simple harmonic motion given by y(t)=(4.20 cm)cos(2.10t). The wave travels to the left with a speed of 1.30 cm/s.a) write an equation for this traveling wave, y(x,t) assuming y (0,0) = 0.b) Find the transverse velocity as a function of time for a particle located at 3.10 cm.c) Find the transverse velocity as a function of time for a particle located at 5.10 cm.d) compare the two answers above and comment on why they are so different and what this means physically

Answers

The equation for the traveling wave is y(x,t) = (4.20 cm)cos(2.10t - 1.69x), assuming y(0,0) = 0.The transverse velocity of the particle is the time derivative of this expression: v = dy/dt = - (4.20 cm)(2.10)sin(2.10t - 1.693.10 cm).

Here, the argument of the cosine function (2.10t - 1.69x) represents the phase of the wave, where the factor 2.10 represents the angular frequency and 1.69 represents the wavenumber of the wave.The transverse position of the particle at x = 3.10 cm can be found by substituting x = 3.10 cm into the equation for the wave: y(3.10,t) = (4.20 cm)cos(2.10t - 1.693.10 cm). The transverse velocity of the particle is the time derivative of this expression: v = dy/dt = - (4.20 cm)(2.10)sin(2.10t - 1.693.10 cm).Similarly, for a particle located at x = 5.10 cm, the transverse position is y(5.10,t) = (4.20 cm)cos(2.10t - 1.695.10 cm), and the transverse velocity is v = - (4.20 cm)(2.10)sin(2.10t - 1.695.10 cm).The two expressions for transverse velocity are different because they correspond to particles located at different positions along the wave. As the wave travels to the left, particles located at different positions experience different phases of the wave, resulting in different transverse velocities. Physically, this means that the wave is transporting energy and momentum through the medium, causing particles to oscillate and move in a periodic manner. The velocity of a particular particle depends on its position along the wave, and can be different from the velocity of particles at other positions.

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Where do most astronomers think the solar system formed from?.

Answers

Question:Where do most astronomers think the solar system formed from?.

Answer: Most Astronomers think the solar system formed from a Nebula

What is the new kinetic energy of the 1900 kg ship on the right moving at 4 m/s?

Answers

Answer:

soi nuevo

Explanation:me  regalan puntos

Answer:

15,200J

Explanation:

The equation is 1/2 x m x v², where m= mass and v= velocity.

What does Newton's first law of motion state? (3 points) a Every action has an equal and opposite reaction. b A body at rest will stay at rest until it is acted upon by another object. c The amount of force acting on an object is equal to its mass times its acceleration. d All objects that have mass attract each other with a force that depends on their mass.

Answers

Answer:

B) A body at rest will stay at rest

Explanation:

A body in motion will stay in motion unless acted on by another force.

A powerful motorcycle can produce an acceleration of 3.00 m/s2 while traveling at 106.0 km/h. At that speed, the forces resisting motion, including friction and air resistance, total 432.0 N. (Air resistance is analogous to air friction. It always opposes the motion of an object.) What is the magnitude of the force that motorcycle exerts backward on the ground to produce its acceleration if the mass of the motorcycle with rider is 241 kg

Answers

Answer:

"1155 N" is the appropriate solution.

Explanation:

Given:

Acceleration,

\(a=3 \ m/s^2\)

Forces resisting motion,

\(F_f=432 \ N\)

Mass,

\(m = 241 \ kg\)

By using Newton's second law, we get

⇒ \(F-F_f=ma\)

Or,

⇒         \(F=ma+F_f\)

By putting the values, we get

⇒             \(=(3\times 241)+432\)

⇒             \(=723+432\)

⇒             \(=1155 \ N\)

URGENT!!!

Calculate the frequency of violet light if the wavelength in air is 430nm.

* speed.of violet light in the prism = 2×10^8 m/s
* 1nm = 10^-9
* velocity of light in air = 3×10^8 m/s​

Answers

Answer:

\(f=6.97\times 10^{14}\ Hz\)

Explanation:

Given that,

Wavelength, \(\lambda=430\ nm=430\times 10^{-9}\ m\)

We need to find the frequency of the violet light.

We know that the relation between frequency and wavelength is given by :

\(f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{430\times 10^{-9}}\\\\f=6.97\times 10^{14}\ Hz\)

So, the frequency of violet light is \(6.97\times 10^{14}\ Hz\).

How do we express an electrical conductor ability to carry a moving charge under the influence of a potential difference

Answers

The ability of an electrical conductor to carry a moving charge under the influence of a potential difference is expressed by its electrical conductivity, denoted as σ (sigma).

Electrical conductivity is a measure of how easily an electrical current can flow through a material when a potential difference (voltage) is applied across it. It quantifies the conductor's ability to carry the moving charge.

The SI unit of electrical conductivity is siemens per meter (S/m). A higher value of electrical conductivity indicates a greater ability of the conductor to conduct electricity.

The conductivity of a material depends on factors such as its composition, temperature, and physical structure. Conductors with high electrical conductivity, such as metals, allow electric charges to move more freely, while insulators have low conductivity and restrict the flow of electric current.

In summary, electrical conductivity is the parameter used to express an electrical conductor's ability to carry a moving charge when subjected to a potential difference, with higher conductivity indicating better conductivity and ease of current flow.

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The question is in the picture please answer problem 8Thank you

The question is in the picture please answer problem 8Thank you

Answers

According to the second law of Newton, the acceleration is directly proportional to the net force acting on the object:

\(F=m\cdot a\)

From this formula, we can also see that the acceleration is inversely proportional to the mass: For the same force, if the mass increases, the acceleration decreases.

Therefore the correct option is d.

Which instrument changes kinetic energy into electrical energy?




electric motor

hair drier

electric bell

dynamo​

Answers

Answer:

Dynamo

Explanation:

Dynamo started to rotate which is known as kinetic energy.When dynamo is in running it produces electricity.dynamo specially used for generating electricity.

The speedometer of a car moving to the east reads 100 km/h. It
passes another car moving to the west at 100 km/h. Do both cars
have the same speed? Do they have the same velocity?

Answers

The same speed
I’m pretty sure

The speedometer of the car moving towards shows 100 km/h which passes another car moving in the west with a speed of 100 km/h, so both cars have the same speed and velocity, but the resultant speed is 200 km/h.

What is Velocity?

In terms of physics, velocity is a vector measurement of the motion's direction and speed. The rate of change in an object's position relative to a frame of reference and time is a more precise definition of velocity.

Simply put, the concept of velocity informs us of the rate at which an object is travelling in a specific direction. It indicates the rate of movement of an object.

There are several types of velocity :

Uniform velocityNon-uniform velocityInstantaneous velocityAverage velocity

Therefore, both the cars are having same speed.

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an object 1.70 cm high is held 3.00 cm from a person's cornea, and its reflected image is measured to be 0.167 cm high. what is the magnification?

Answers

Answer: 0.098

The magnification can be calculated using the formula:

magnification = height of reflected image / height of object

In this case, the height of the reflected image is 0.167 cm and the height of the object is 1.70 cm. Therefore:

magnification = 0.167 / 1.70
magnification = 0.098

Therefore, the magnification is 0.098.

NO LINK ANSWERS NEED HELP FAST

According to Charles Law, if a balloon filled up with nitrogen gas is warmed so that its temperature increases, which of the following would be the result?

A. The volume inside the balloon would increase
B. The pressure inside the balloon would increase
C. The pressure inside the balloon would decrease
D. The volume inside the balloon would decrease

Answers

Answer:

B would be the correct answer

I think the answer would be B. The pressure inside the balloon would increase. Hope this help!
Other Questions
When a force moves an object over a rough, horizontal surface at a constant velocity, the work done against friction produces an increase in the object's Matheson Electronics has just developed a new electronic device that it believes will have broad market appeal. The company has performed marketing and cost studies that revealed the following information:New equipment would have to be acquired to produce the device. The equipment would cost $138,000 and have a six-year useful life. After six years, it would have a salvage value of about $24,000.Sales in units over the next six years are projected to be as follows:YearSales in Units17,000212,000314,0004616,000Production and sales of the device would require working capital of $46,000 to finance accounts receivable, inventories, and day-to-day cash needs. This working capital would be released at the end of the projects life.The devices would sell for $55 each; variable costs for production, administration, and sales would be $35 per unit.Fixed costs for salaries, maintenance, property taxes, insurance, and straight-line depreciation on the equipment would total $149,000 per year. (Depreciation is based on cost less salvage value.)To gain rapid entry into the market, the company would have to advertise heavily. The advertising costs would be:YearAmount of Yearly Advertising12$ 75,0003$ 55,00046$ 45,000The companys required rate of return is 13%.Required:1. Compute the net cash inflow (incremental contribution margin minus incremental fixed expenses) anticipated from sale of the device for each year over the next six years.2-a. Using the data computed in (1) above and other data provided in the problem, determine the net present value of the proposed investment.2-b. Would you recommend that Matheson accept the device as a new product? How do you know if pewter has lead in it? Which sentence correctly usesthe first definition for trace?A. I can detect the slightest trace of onion inthis soupB. The investigator found a trace of gunshotresidue at the scene.C. I had to trace my steps to find where!left my keys Consider the figure below. Write the equation of the line of reflection. _____ = ______ HELPPPP!! 25 POINTS GIVEN When certain stories become popular, readers want to find out where certain characters came from. It is a way to explain how the characters of a popular story arrived at the start of the first story. It gives the reader more background on some of the favorite characters.Which opening sentence goes best with the details in the above paragraph?Group of answer choicesA When readers become interested in certain popular characters, they enjoy reading more about the characters. B It allows the reader to better understand their favorite characters and to learn why they act the way they act. C Many popular stories lately have introduced "prequels", or events that happened before the original story.D This method had become more popular in the last 10 years, proving how readers have become more interested. A vector F of magnitude 50 lb acts at an angle of 55 and another vector G of magnitude 60 lb acts at an angle of 310. Find the sum of the two vectors. (Round the magnitude to the nearest whole number and the angle to the nearest degree. The word media refers to ____.A television, movies, and newspaper onlyB. anything we see, read, or hearC. all life experiencesD. All of the answers are correct Help: I am a number between 60 and 100. My ones digit is six less than my tens digit. I am a prime number.What number am I? Brainlest if answer right The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1? An airplane is traveling in the direction 35 west of north at 800 km/hr. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. What is the component form of the velocity of the airplane? (Round the final answer to one decimal place as needed.) Please help!!!!!!!!!!!!!! daisy started a seashell collection she started with 10 seashells and gets 2 new ones each month. daisy wants to be able to predict the total number of seashells in her collection, y, over x months. which function rule models her seashell collection?1. f(x)=12x2. f(x)=10x+23. f(x)=2(x-10)4. f(x)=2x+10 You have received a job offer with total compensation of $70,000 per year from a mature company. You have also received a job offer to earn $90,000 per year from a start-up. You are willing to take either job, but you are concerned that the start-up will fail, and you will be unemployed with SO compensation in two years. You estimate the probability of being unemployed in two years as 10% if you work for the mature company and 50% if you work for the start-up. Which job offers you the highest expected compensation per year two years from now? How much would the start-up have to offer you now in order for the expected compensation to be the same for either job? I (0.50 X 0)+(0.50 X offer) = $63.000 Offer= When was the colosseum made ? Draw the image of AABC under the translation (x, y) + (x+2, y +2).HELP!!!! 1. What is the application rate to be used by the company? A. $2.05 B. $2.00 C. $1.50 D. $1.25 2. What is the amount of the Applied Factory Overhead? A. $6,030 B. $5,025 C. $8,040 D. Not enough information 3. What is the closing entry for the Factory Overhead Account? A. $100 Overapplied B. $60 Underapplied C. $60 Overapplied D. $75 Underapplied 4. Materials requested by the factory totaled $40,000 of which $4,000 were indirect materials. What is the journal entry? A. WIP $36,000, FOH 4,000 ; Materials $44,000 B. WIP $36,000,FOH4,000; Materials $40,000 C. WIP $40,000; Cash $40,000 D. Materials 40,000 ; WIP 36,000 , FOH 4,000 Which of the following is equivalent to l x - 1 l < 5 Fill in the blanks. The principle behind stacking buckshot pellets is that the____the angle of surface contact between two pellets, the ____the tendency those pellets will impart energy in that direction. Triangle A is a scaled version of triangle B. The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle B is 40.5 sq cm. What is the area of triangle A?