The units of absolute permittivity of free space (εo) in S.I. are *​

The distance between these two points is approximately 17.46 units.

To identify the distance, we can use the distance formula of coordinate geometry:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Now, to plug our values in:

d = sqrt((-15 - 2)^2 + (-2 - (-6))^2)

sqrt((-17)^2 + (4)^2)

= sqrt(289 + 16)

= sqrt(305)

d ≈ 17.46

Hence, the distance between points A and B approximately equals 17.46 units.

The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.

To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.

Given:

R1 = 4 Ω

R2 = 30 Ω

R3 = 10 Ω

R4 = 5 Ω

Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:

RT1-2 = R1 + R2

RT1-2 = 4 Ω + 30 Ω

RT1-2 = 34 Ω

Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:

1/RTotal = 1/RT1-2 + 1/R3

1/RTotal = 1/34 Ω + 1/10 Ω

1/RTotal = (10 + 34) / (34 * 10) Ω

1/RTotal = 44 / 340 Ω

1/RTotal ≈ 0.1294 Ω

RTotal ≈ 1 / 0.1294 Ω

RTotal ≈ 7.74 Ω

Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:

RTotalCircuit = RTotal + R4

RTotalCircuit = 7.74 Ω + 5 Ω

RTotalCircuit ≈ 12.74 Ω

Therefore, the total resistance of the circuit is approximately 12.74 Ω.

To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:

I = V / RTotalCircuit

I = 56 V / 12.74 Ω

I ≈ 4.39 A

Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).

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Answer:

See Below

Explanation:

I am not sure what you exact question is to know what direction it is but here is how you do it.

The direction of the net force is the direction of the largest force.

for example if you were to push a box forward with 100 newton's of force and someone pushed at the same time 50 newton's backwards on the box, the box would move forwards because the was a greater force on the box in a forward direction. hope this helps

An acidic solution is indicated by values between 0 and 7. A basic answer is indicated by values between 7 and 14. A solution is neutral when its pH value is exactly 7, meaning it is neither acidic nor basic.

By taking into account the reactivity of both the cation and the anion with water, we may determine whether a salt solution will be acidic, basic, or neutral. Water will not react with either species, leaving a neutral solution.

Since phenolphthalein's colour change is easier to see, it is typically preferred. It would be wise to utilize phenolphthalein, which is used and undergoes a sharp change at the equivalency point.

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Values between 0 and 7 suggest an acidic solution. Values between 7 and 14 indicate a basic response. When a solution's pH is exactly 7, it is considered neutral and is neither acidic nor basic.

We can tell whether a salt solution will be acidic, basic, or neutral by considering how the cation and anion react with water. Both species will not interact with water, leaving a neutral solution.

It is often used because phenolphthalein's color change is simpler to see. It is advisable to use phenolphthalein, which has a strong change at the equivalence point and is widely utilized. When a solution's pH is exactly 7, it is considered neutral and is neither acidic nor basic.

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Answer:

The planet Earth is Dynamic​ hence option C is the correct answer

The interactions of the atmosphere, ocean, and solid Earth make the.

Clouds materialize and melt away; wind and water carve the land into new shapes; and the slow churnings of the Earth's interior keep the continents in motion and create new oceans and mountain

Volcanic activity and earthquakes alter the landscape in a dramatic and often violent manner.

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Answer:

Moon appears lit on the right half of the Moon during the First Quarter. The Moon appears lit on the left side during the Third Quarter because the Moon is on the other side of Earth. Again, if you think of the baseball analogy, and you’re standing at home plate, the first base or First Quarter is on your right side.

Explanation:

i hope is help

The magnitude and direction of B at the center C of the square is

2µNIo/πL on every corner of square.

Given that four long straight parallel wires, located at the corners of a square carry equal currents perpendicular to the page.

Side of a square = L

current in square wire = Io

Here C is located at the center then distance from any corner point to center C be r. Here r acts as the hypotenuse such that r = L/√2

We know that electric field (B) = NI/2πr and is same at every point on square. Ba = Bb = Bc = Bd

B = µNIo/2π(L/√2)

B = √2µNIo/2πL

Bnet = 4 x Bcos45 = 4 x √2µNIo/2πL x 1/√2

Bnet = 2µNIo/πL

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Answer:

Option C, The magnetic domains inside the material must be aligned

Explanation:

Magnetic domains determine the magnetic behavior of any substance. Most of the magnetic substances have disoriented magnetic domains due to which they do not behave as magnets until unless an external force is applied to change the orientation of their domains and align them properly.

Hence, option C is correct

Answer:

Explanation:

Using the equation of motion v² = u²+2aS

v is the final velocity = 120km/hr

120km/hr = 120 * 1000/1 * 3600 = 33.3m/s

u is the initial velocity = 0m/s

a is the acceleration

S is the distance covered = 240m

On substituting the given parameters

33.3² = 0²+2a(240)

33.3² = 480a

1110 = 480a

a = 1110/480

a = 2.3125m/s²

Hence the minimum constant acceleration that the aircraft require to be airborne after a takeoff run of 240 m is 2.3125m/s²

Answer:

\(38.3\ \text{m/s}\)

\(32.14\ \text{m/s}\)

6.55 seconds

\(52.65\ \text{m}\)

\(254.84\ \text{m}\)

Explanation:

u = Initial velocity of rock = 50 m/s

\(\theta\) = Angle of throw = \(40^{\circ}\)

g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)

Horizontal component is given by

\(u_x=u\cos\theta\\\Rightarrow u_x=50\times \cos40^{\circ}\\\Rightarrow u_x=38.3\ \text{m/s}\)

The horizontal component of the velocity is \(38.3\ \text{m/s}\)

Vertical component is given by

\(u_y=u\sin\theta\\\Rightarrow u_y=50\times \sin40^{\circ}\\\Rightarrow u_y=32.14\ \text{m/s}\)

The horizontal component of the velocity is \(32.14\ \text{m/s}\)

Time of flight is given by

\(t=\dfrac{2u\sin\theta}{g}\\\Rightarrow t=\dfrac{2\times 50\sin40^{\circ}}{9.81}\\\Rightarrow t=6.55\ \text{s}\)

The hang time of the rock is 6.55 seconds

Maximum height is given by

\(h=\dfrac{u^2\sin^2\theta}{2g}\\\Rightarrow h=\dfrac{50^2\sin^240^{\circ}}{2\times 9.81}\\\Rightarrow h=52.65\ \text{m}\)

Maximum height is \(52.65\ \text{m}\)

Range is given by

\(d=\dfrac{u^2\sin2\theta}{g}\\\Rightarrow d=\dfrac{50^2\sin(2\times40)^{\circ}}{9.81}\\\Rightarrow d=254.84\ \text{m}\)

The range is \(254.84\ \text{m}\)

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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According to the question, the answer of distance will be:

a. Your displacement is 0 m.

b. The total distance traveled is 3408 m.

c. Your displacement is 0 m.

d. The total distance you have traveled since first leaving your house is 3408 m.

What is distance?

Distance is the amount of space between two objects or points. It is usually measured in units of length such as kilometers, miles, meters, or feet.

a)Displacement is defined as the total distance in a specific direction, and since you did not move in any direction, your displacement is 0 m.

b) You traveled 1704 m to the store and 1704 m back to your friend's house, so the total distance traveled is 3408 m.

c) Displacement is defined as the total distance in a specific direction, and since you did not move in any direction, your displacement is 0 m.

d)  You traveled 1704 m to the store and 1704 m back to your house, so the total distance you have traveled since first leaving your house is 3408 m.

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To solve this problem graphically we need perform the following steps:

Draw the axis and labeled them correctly.

We choose an appropriate scale to represent one meter, for example we can choose 1 cm to represent 50 meters; in that way 500 m will be represented by an arrow with length 10 cm.

We draw an arrow pointing north of 10 cm.

We draw an arrow pointing east of 4 cm from the head of the previous arrow.

We draw an arrow pointing south of 6 cm from the head of the previous arrow.

We draw an arrow pointing west of 8 cm from the head of the previous arrow.

We draw an arrow from the origin to the head of the last arrow.

We measure the horizontal projection of the last arrow and the vertical projection, this will give us the displacement in the x and y direction, respectively.

This is shown in the diagram below:

Therefore, the displacement of Dexter from the origin is -200 m on x and 200 m on y, this can be also said as Dexter is 200 m west and 200 m north from where he began.

The tension in the swing's chain at the instant shown in the image is 441.6 N.

option D

At the bottom of the swing, the girl is traveling at a constant speed, so her acceleration is zero. Therefore, the net force acting on her is also zero.

Thus, we have:

0 = T - mg - mv²/r

where;

At the bottom of the swing, the radius is equal to the length of the chain, so we have:

r = L = 4.0 m

Substituting the values we have:

T = (32 kg)(9.8 m/s²) + (32 kg)(4 m/s)²/4.0 m

Solving for T, we get:

T = (32 kg)(9.8 m/s²) + (32 kg)(4 m/s)²/4.0 m

T = 441.6 N.

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Hence, 1344 10 3 J of heat are needed to melt the ice. From 0°C to 4°C, heating water causes it to continuously contract rather than expand.

In accordance with the U.S. Energy Statistics Administration, coal, nuclear power, and natural gas made up the majority of the country's electrical generation in 2020. Renewable energy sources like wind, hydropower, solar, biomass, and geothermal are also used to generate electricity.

Using coal and oil, nuclear energy, biomass, geothermal, & solar thermal energy, steam turbines are used to produce the majority of the world's power. Gas turbines, hydroelectric turbines, wind turbines, & solar photovoltaics are some additional significant electricity generation systems.

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Answer:

the correct one is C,

Explanation:

The magnetic force is given by the expression

        F = q v x B

where the bold letters indicate vectors, we can find the modulus of this expression

         F = q v B sin θ

The direction of the to the force with the rule of the right hand. The thumb applies in the direction of the speed, the fingers extended in the direction of the magnetic field and if the charge is positive the palm is in the direction of the force, if the charge is megative the force is in the opposite direction to the palm of hand.

Let's analyze the different situations presented; As the particles emitted are electrons, their charge is negative.

Situation 1. The thumb points upwards, the force is towards the NW as the charge is negative, the palm points towards the SE therefore the finger points towards the SOUTHWEST which must be the direction of the magnetic field

Situation 2. the electrons go horizontally to the north the thumb points in this direction, the force is downwards, therefore the palm points upwards, the extended fingers point to the WEST

Situation 3. the thumb points to the SE towards where the electrons move, the force is upwards the palm points to the SW, therefore the fingers extended points SOUTHWEST

As a result of situations 1 and 3 the magnetic field must point in the SOUTHWEST direction.

Situation 2 gives a different result because the component of the field that is directed to the south does not create exerts and therefore cannot be detected.

When checking the answers, the correct one is C

The acceleration of the girl moving in a straight line at a velocity of 3 m/s is - 0.5 m / s²

a = v - u / t

a = Acceleration

v = Final velocity

u = Initial velocity

t = Time

v = 0

u = 3 m / s

t = 6 s

a = ( 0 - 3 ) / 6

a = - 0.5 m / s²

The negative symbol signifies that she is decelerating.

Deceleration is the acceleration in opposite direction. As a result, the body will lose velocity at a constant pace. Hence, if the acceleration has a negative value it is called as Deceleration.

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Answer:6

Explanation:

Answer:

6

Explanation:

Answer:

1. Atomic number

2. element symbol

3. element name

4. atomic mass

5 and 6 are the same as the diagram above... just rewrite using data

Answer: Chemical → Mechanical → Electrical → Radiant

Explanation:

First, the Hamster eats the carrot, then the hamster is getting chemical energy.

Now the hamster starts using his wheel, then he "transforms" the chemical energy into mechanical energy.

Now the mechanical energy is connected to a generator, this means that the mechanical energy (the rotation of the wheel) is being converted into electrical energy.

And we know that there is a light bulb powered by this electrical energy, then we have electrical energy being transformed into radiant energy.

Then the correct option is:

Chemical → Mechanical → Electrical → Radiant

Answer:

126 mWb

Explanation:

Given that:

length (L) = 50 cm = 0.5 m, radius (r) = 5 cm = 0.05 m, current (I) = 10 A, number of turns (N) = 800 turns.

We assume that the magnetic field in the solenoid is constant.

The magnetic flux is given as:

\(\phi_m=NBAcos(\theta)\\Where\ B\ is\ the\ magnetic\ field\ density,A\ is \ the\ area.\\But\ B =\mu_onI.\ n \ is\ the\ number\ of\ turns\ per\ unit \ length=N/L\\Therefore,B=\frac{\mu_oNI}{L} \\substituting\ the\ value\ of\ B\ in\ the\ equation: \\\phi_m=\frac{NAcos(\theta)*\mu_oNI}{L} .\ But \ \theta=0,cos(\theta)=1\ and\ A=\pi r^2\\ \phi_m=\frac{N^2\pi r^2\mu_oI}{L} \\Substituting\ values:\\\phi_m=\frac{800^2*(\pi*0.05^2)*(4\pi*10^{-7})*10}{0.5}=0.126\ Wb=126\ mWb\)

The heat transfer by an emitted radiation is calculated using Stefan-Boltzmann law of radiation. The rate of heat transfer is 2.0 × 10⁵ W.

According to Stefan-Boltzmann law of radiation, the heat transfer by an emitted radiation Q/t is related to the absolute temperature T and the area A as:

Q/t =  σe AT⁴

Where σ is the Stefan-Boltzmann  constant e be the emissivity. σ has a value of 5.67 × 10⁻⁸ J/s m² K⁴.

Given that, T = 1450 K

e = 1.0,  A = 0.80 m².

Now, heat transfer Q/t = 5.67 × 10⁻⁸ J/s m² K⁴ × 0.80 m² × (1450 K)⁴

=  2.0 × 10⁵ W.

Therefore, the heat transfer to the surrounding to the radiation is 2.0 × 10⁵ W.

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Answer:

2.20 s

Explanation:

\(T=2\pi\sqrt\frac{L}{g}=2\pi\sqrt\frac{1.2}{9.8}}\)

T = 2.20 s

The net charge on q2 is estimated at -4.00 × 10^-9 C.

We apply  Coulomb's law to solve this:

The Force is  = (k * q1 * q2) / r^2

For q1 and q2:

F1-2 = (k * q1 * q2) / r^2 = (9.0 × 10^9 N·m^2/C^2) * (-6.00 × 10^-9 C) * (-3.00 × 10^-9 C) / (0.60 m)^2 = 1.35 × 10^-3 N

For q2 and q3:

F2-3 = (k * q2 * q3) / r^2 = (9.0 × 10^9 N·m^2/C^2) * (-3.00 × 10^-9 C) * (-1.10 × 10^-9 C) / (0.60 m)^2 = 2.25 × 10^-4 N

The net force on q2 is the vector sum of the forces on q2 from q1 and q3:

Fnet = F1-2 + F2-3 = 1.35 × 10^-3 N + 2.25 × 10^-4 N = 1.58 × 10^-3 N

Fnet = (k * q2 * qtot) / r^2

qtot = the net charge on q2

qtot = (Fnet * r^2) / (k * q2) = (1.58 × 10^-3 N) * (0.60 m)^2 / (9.0 × 10^9 N·m^2/C^2) / (-3.00 × 10^-9 C) =  -4.00 × 10^-9 C

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The hypothesis is, the thickness of transparent glass affects how much light passes through. Option A is correct.

A hypothesis is a proposed explanation or prediction for a phenomenon or observation that is based on limited evidence and subject to testing and validation through further investigation. It is an essential part of the scientific method, which involves developing a research question, making observations, and forming a hypothesis to explain the observed phenomenon.

The hypothesis should be testable, falsifiable, and based on evidence and reasoning. Testing the hypothesis involves designing experiments and collecting data, which can either support or refute the hypothesis. If the hypothesis is supported by the data, it may be further developed into a scientific theory, which is a widely accepted explanation of a natural phenomenon that has been extensively tested and validated. Option A is correct.

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The man's friend is at a distance 552.5 m away.

Speed of sound in air, v = 340 m/s

Time after which the echo is heard, t = 3.25 s

The expression for the total distance covered by the sound in the given time,

d = v x t

d = 340 x 3.25

d = 1105 m

Therefore, the distance where the friend is staying would be half of the total distance covered by the sound during the given time.

So, the distance of the friend from the man,

d' = d/2

d' = 1105/2

d' = 552.5 m

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It begins about 5 kilometers below Earth's surface. The last option!

The compound interest formula is given by:

where,

P: principal investment = $400

r: interest rate = 3% = 0.03

n: times at year = 4 quarterly

t: years = 0, 5 , 10, 15, 20

Replace the previous values of the parameters into the formula for I and simplify for each value of t:

Hence, the amounts for t=0, 5, 10, 15 and 20 years are, respectivelly:

$400

$464.5

$539.3

$626.3

$727.2