A parallel-plate capacitor with 1.0 mm plate spacing has ± 2.8 μC on its plates when charged to 200 V. What is the plate area?

We have that the balanced chemical equation   is mathematically given as.

2Ti_3N + 3MgO → Mg_3N_2 +3Ti_2O

From the question we are told

Ti3N + MgO → Mg3N2 +Ti2O balance chemical equation.

Generally the way to balance an equation is by making all elements present on the Left hand side(LHS) same with the right hand side RHS.

Therefore

The equation is mathematically given as.

We consider the Left hand side(LHS) first.

Then we consider the right hand side RHS.

Therefore the balanced chemical equation   is mathematically given as.

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a. The image distance is -212.275 cm

b.  the lateral magnification is equal to 26.534375

The image distance can be found using the lens equation for a spherical lens:

1/f = 1/d_o + 1/d_i

we have that  focal length of a spherical lens is:

f = R / (n - 1)

f = R / (n - 1) = 200 cm / (1.52 - 1) = 200 cm / 0.52 = 385.385 cm

The object distance, d_o, is 8.00 cm,

calculating  the image distance, we have :

1/f = 1/d_o + 1/d_i

1/385.385 cm = 1/8.00 cm + 1/d_i

d_i = -8.00 cm * 385.385 cm / (385.385 cm - 8.00 cm) = -212.275 cm

b. The lateral magnification can be described as the ratio of the height of the image to the height of the object:

m = h_i / h_o

m = h_i / h_o = d_i / d_o = -212.275 cm / 8.00 cm = -26.534375

In conclusion, the negative sign indicates that the image is inverted with respect to the object.

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The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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The values ​​of q1 and q2 in which the resultant electric force exerted on each of the other three charges zero is - 4C.

The value of charges q1 and q2 is calculated by applying the formula for electric force as shown below.

F = (kqₙqₓ) / (d²)

where;

If the force exerted on each of the other three charges is zero, then

F₁₃ + F₃₄ = 0

F₂₃  +   F₃₄ = 0

F₁₃ = (k x q₁ x 8) / (d²)

F₂₃ = (k x q₂ x 8 ) / (d²)

F₃₄ = (k x 8 x 4 ) / (d²)

F₁₃ = - F₃₄

(k x q₁ x 8) / (d²)  = -  (k x 8 x 4 ) / (d²)

8q₁ = - 32

q₁ = -32 / 8

q₁ = - 4 C

F₂₃ = - F₃₄

(k x q₂ x 8 ) / (d²) = -  (k x 8 x 4 ) / (d²)

q₂  = - 4 C

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Answer:

Coulomb's law of Electrostatic Force states that a charged particle attracts or repels other charged particles with a force which is directly proportional to the product of their charges and inversely proportional to the square of the distance between their centers.

Explanation:

Answer:

D

the wavelength is the speed divide by the frequency

Answer:

Option "C": "4.5 g"

Explanation:

N0 = 36 g, Let half-life is T.

t = 3 T, n is number of half lives = t / T = 3

By using the decay law of radioactivity

N / N0 = (1 / 2)^n

where

"N0" be the "initial amount"

"N" be the "amount left"

"n" be the "number of half-lives"

N / 36 = (1/2)^3

N / 36 = 1 / 8

N = 36 / 8 = 4.5 g

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core

Explanation:

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The following factors affect the strength of an electromagnet; number of turns, wire size, current and the presence of iron core.

This is a type of magnet  in which the magnetic field is produced by an electric current.

The following factors affect the strength of an electromagnet;

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Answer:

920000

Explanation:

Each kg contains 1,000 grams

To determine the thrust applied by the engines, we can use Newton's second law of motion, which states that force (thrust) is equal to mass times acceleration. In this case, we need to calculate the force required to decelerate the plane from 30 m/s to 25 m/s in 12 seconds.

First, we calculate the change in velocity (∆v):

\(\displaystyle\sf \Delta v=25\,m/s-30\,m/s=-5\,m/s\)

Next, we calculate the acceleration (∆a) using the formula:

\(\displaystyle\sf \Delta a=\frac{\Delta v}{\Delta t}\)

where ∆t is the change in time, which is 12 seconds in this case.

\(\displaystyle\sf \Delta a=\frac{-5\,m/s}{12\,s}\)

Now, we can determine the force (thrust) applied by the engines using Newton's second law:

\(\displaystyle\sf F=m\cdot a\)

where m is the mass of the airplane, which is 480000 kg.

\(\displaystyle\sf F=480000\,kg\cdot \left(\frac{-5\,m/s}{12\,s}\right)\)

Calculating the result:

\(\displaystyle\sf F=-200000\,N\)

Therefore, the engines applied a thrust of -200000 Newtons (N) to decelerate the plane. The negative sign indicates that the thrust is in the opposite direction of the motion.

Answer: C. A stove burner that glows red when it is turned on

Explanation:

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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The angle to the horizontal the ball was launched at can be determined using trigonometry. Once you have the initial horizontal and vertical velocities, you can use the tangent function to calculate the launch angle.

Velocity is a physical quantity that describes the rate at which an object changes its position. It is a vector quantity, which means it has both magnitude and direction. The magnitude of velocity is the speed of the object, while its direction is the direction of motion.

Time is a concept that refers to the sequence of events that occur in a continuous progression, from the past, through the present, and into the future. It is a way to measure the duration or the length of events or periods, and it is a fundamental aspect of our experience and understanding of the world.

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Explanation:

Potential energy is a scalar quantity because it has only magnitude and no direction. Its ability to be negative does not affect its scalar nature.

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Answer:Probably because we've been so dependent on them,and we took to long to find new reusable resources.

Explanation:

Answer:

b and e

Explanation:

r x F is the formula for torque.

The "turning effect" or torque happens when concentric forces rotate an object along said center.

a) False because T = Fr = Ia (a = angular acceleration)

b) True

c) False. L = Iw (w = angular velocity), which does not equal Ia

d) False. It is torque, not the product of torque and something else

e) True.

Answer:

In general, a vector equation is any function that takes any one or more variables and returns a vector. The vector equation of a line is an equation that identifies the position vector of every point along the line. This works for straight lines and for curves.

Explanation:

1.A vector has magnitude (size) and direction:

2.a − b.

3.A vector is often written in bold, like a or b.

4.The vector a is broken up into.

5.We can then add vectors by adding the x parts and adding the y parts:

6.When we break up a vector like that, each part is called a component:

7.|a|

8.||a||

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The two correct statement are A and B. Light waves are electromagnetic waves that can travel through a vacuum. Mechanical waves can travel through a vacuum.

EM waves are the electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.

Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields.

Electrically charged particles experiencing acceleration create electromagnetic waves, which can then interact with other charged particles and exert force on them.

The two correct statement is;

1. Light waves are electromagnetic waves that can travel through a vacuum.

2. Mechanical waves can travel through a vacuum.

Hence,two correct statement are A and B.

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Matching the government activities to the different fiscal policies.

Contractionary Fiscal Policy:

budget indicates a surplus

government is spending less than what it earns

Expansionary Fiscal Policy:

government is spending more on infrastructure development

budget indicates a deficit

government is spending more than what it earns

When the government is spending less than what it earns, it has a budget surplus. This indicates that the government is collecting more revenue than it is spending. This is an example of a contractionary fiscal policy because it reduces the amount of money circulating in the economy, which can help control inflation.

When the government is spending more than what it earns, it has a budget deficit. This indicates that the government is spending more money than it is collecting in revenue. This is an example of an expansionary fiscal policy because it injects more money into the economy, which can stimulate economic growth.

When the government is spending more on infrastructure development, it is an example of an expansionary fiscal policy because it increases government spending and stimulates economic growth.

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Answer:

The force required to get it there is 200000 N.

Explanation:

The force can be calculated by the second Newton's law:

\( F = ma \)

Where:

m: is the mass = 25000 kg

a: is the acceleration

The acceleration is given by:

\( a = \frac{v}{t} \)

Where:

v: is the velocity = 80 m/s

t: is the time = 10 s

\( a = \frac{v}{t} = \frac{80 m/s}{10 s} = 8 m/s^{2} \)

Hence, the force is:

\( F = ma = 25000 kg*8 m/s^{2} = 200000 N \)

Therefore, the force required to get it there is 200000 N.

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Increased driving can lead to higher vehicle maintenance and repair expenses, increased fuel costs, potential increases in auto insurance premiums, and additional parking fees, all of which should be considered when estimating the overall impact on your expenses.

The expenses that are likely to change based on how much you drive can be broadly categorized into two main areas: vehicle-related expenses and fuel-related expenses.

1. Vehicle-related expenses: The more you drive, the more wear and tear your vehicle will experience, leading to increased maintenance and repair costs. Regular oil changes, tire replacements, brake pad replacements, and other routine maintenance tasks will be required more frequently.

2. Fuel-related expenses: It's intuitive that the more you drive, the more fuel you'll consume, resulting in higher fuel expenses. Fuel prices can vary, but regardless of fluctuations, increased mileage will directly impact your fuel budget. Fuel-efficient vehicles may mitigate some of these costs, but the overall impact on your expenses will still be noticeable.

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Answer: Epidermis

Explanation:

The dermis is held together by a protein called collagen. This layer gives skin flexibility and strength. The dermis also contains pain and touch receptors.

Epidermis is the top layer of the skin that you can see and touch.

Keratin, a protein inside skin cells, makes up the skin cells and, along with other proteins, sticks together to form this layer.

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Answer:

The dermis is held together by a protein called collagen. This layer gives skin flexibility and strength. The dermis also contains pain and touch receptors.

Answer:

The energy that is changing during a phase change is potential energy. During a phase change, the heat added (PE increases) or released (PE decreases) will allow the molecules to move apart or come together. Heat absorbed causes the molecules to move farther apart by overcoming the intermolecular forces of attraction.

Answer:

\(\theta=34 \textdegree\)

Explanation:

From the question we are told that:

Mass \(m=55kg\)

Angle \(\theta =28.0\)

Coefficient of static friction \(\alpha =0.680\)

Generally, the equation for Newtons second Law is mathematically given by

For

\(\sum_y=0\)

\(N=mgcos \theta\)

for

\(\sum_x=0\)

\(F_{s}=mgsin\theta\)

Where

\(F_{s}=\alpha*N\\\\F_{s}=\alpha*m*gcos \theta\)

\(F_{s}=0.68*55*9.8*cos 28\)

\(F_{s}=323.62N\)

Therefore

\(\alpha mgcos \theta=mg sin \theta\)

\(\theta=tan^{-1}(0.68)\)

\(\theta=34 \textdegree\)

(a) The static frictional force which holds the box in place is 323.62 N.

(b) The maximum angle that the incline can make with the horizontal is 34.2⁰.

The net force applied to keep the box at rest must be zero in order for the box to remain in equilibrium position. Apply Newton's second law of motion to determine the net force.

∑F = 0

The static frictional force is calculated as follows;

Fs = μFncosθ

Fs = 0.68 x (55 x 9.8) x cos28

Fs = 323.62 N

Fn(sinθ) - μFn(cosθ) = 0

mg(sinθ) - μmg(cosθ) = 0

μmg(cosθ) = mg(sinθ)

μ(cosθ) = (sinθ)

μ = sinθ/cosθ

μ = tanθ

θ = tan⁻¹(μ)

θ = tan⁻¹(0.68)

θ = 34.2⁰

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Answer:

Car 2 is travelling in a much higher speed than Car 1.But they are travelling or meeting in the same acceleration

The speed of the train is 150 Km/h.

Speed can be defined as the distance travelled over a period of time. Mathematically, it can be expressed as:

Speed = Distance / Time

With the above formula, we can obtain the speed of the train as shown below:

Speed = Distance / Time

Speed = 600 / 4

Speed = 150 Km/h

Therefore, the speed of the train is 150 Km/h.

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Answer:

25 m/s

Explanation:

Data provided in the question

20 m/s for 10 minutes

And, the 30 m/s for another 10 minutes

Based on the above information, the average speed is

As we know that

\(Average\ speed = \frac{Total\ distance}{Total\ time}\)

\(= \frac{20\times10\times60 + 30\times10\times60 }{20\times60}\)

= 25 m/s

1 hour = 60 minutes

1 minute = 60 seconds

Hence, the average speed is 25 m/s

In the question,  there are miles is given but instead of this we use the minutes as we have to find out the average speed and time should not be in miles it should be in minutes, hour or seconds

Therefore we considered the same

Answer: Snakes are reptiles

Explanation: All reptiles are ectothermic (they obtain body heat from their environment).

As snake belongs to secondary consumer, it get  less amount of energy in food cycle. If producer (grass) get 100 unit of energy, according to food chain snakes only gets one unit of energy.

The sequence of events in an ecosystem known as a "food chain" occurs when one live organism eats another organism, which is then eaten by a larger organism. A food chain is created by the transfer of nutrients and energy from one creature to another at various trophic levels.

The feeding habits or connections between living things are also explained by the food chain. Trophic level is the term used to describe the orderly phases in a food chain, from producers at the bottom through primary, secondary, and tertiary consumers. A trophic level is any position along a food chain.

A food chain demonstrates the interdependence of all living things on one another. The direction of energy flow within an ecosystem is described by the food chain.

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