The particle accelerator at CERN in Geneva, Switzerland, has a circumference of 27
. Inside it protons are accelerated to a speed of 0.999999972
What is the circumference of the accelerator in the frame of reference of the protons?

Answers

Answer 1

In the frame of reference of the protons, the circumference of the accelerator is approximately 6.372 m.

The circumference of the accelerator in the frame of reference of the protons can be determined using Lorentz transformations. Lorentz transformations are mathematical equations that describe how space and time are affected by the speed of an object.

The equation for Lorentz transformations is given by;

L = L' * sqrt(1 - v²/c²)where L is the length measured in a stationary reference frame, L' is the length measured in a moving reference frame, v is the speed of the moving frame relative to the stationary frame, and c is the speed of light.

In this case, the proton is moving at a speed of 0.999999972 relative to the stationary reference frame, so we can use Lorentz transformations to determine the length of the accelerator in the frame of reference of the proton.

Circumference of accelerator in frame of reference of the proton

L = L' * sqrt(1 - v²/c²)L'

= 27 km (given) v

= 0.999999972c

= speed of light

= 3 × 10⁸ m/sL

= 27 km * sqrt(1 - (0.999999972 * c)²/c²)L

= 27 km * sqrt(1 - 0.999999944)L

= 27 km * sqrt(0.000000056)L

= 27 km * 0.000236L

= 0.006372 km

= 6.372 m

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Related Questions

If you jog for 1 h and travel 10 km, 10km/h describes what?

Answers

Answer:

10km/h describe its velocity

Explanation:

Velocity =distance /time

It defined as the rate of change of the object's position with respect to a frame of reference and time.

If you travel a distance of 10 Km in 1 hour then 10 km/h is your velocity.

What is the velocity?

Velocity can be explained as a vector measurement of the direction and rate of motion of an object. The velocity of an object can be specified as the rate of change in the object’s position w.r.t. time.

Velocity can be defined as a vector parameter as it consists of both magnitude and direction. The velocity can be determined from the formula mentioned below:

v = d / t

where v is the velocity, d represents the distance covered, and t is the time.

Although the S.I. unit for the measurement of velocity is m/s or, miles per hour (mph), and kilometers per hour (kph).

Given, the distance traveled, d = 10  km

The time is taken, t = 1 hr

The velocity, v = d/t = 10 km/1 h = 10 km/h

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A grapefruit falls from a tree and hits the ground 0.80 s later.

A. How far did the grapefruit drop?
Express your answer to two significant figures and include the appropriate units.

B. What was its speed when it hit the ground?
Express your answer to two significant figures and include the appropriate units.

Answers

This question can be solved by using equations of motion.

A. The grapefruit dropped by "3.1 m".

B. The speed of the grapefruit, when it hit the ground was "7.8 m/s".

A.

We will use the second equation of motion here to find out the distance dropped by the grapefruit:

\(h = v_it+\frac{1}{2}gt^2\)

where,

h = height dropped = ?

vi = initial speed = 0 m/s

t = time period = 0.8 s

g = acceleration due to gravity = 9.81 m/s²

Therefore,

\(h = (0\ m/s)(0.8\ s)+\frac{1}{2}(9.81\ m/s^2)(0.8\ s)^2\)

h = 3.1 m

B.

Now, we will use the first equation of motion to find out the final speed:

\(v_f = v_i +gt\)

vf = 0 m/s + (9.81 m/s²)(0.8 s)

vf = 7.8 m/s

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The attached picture shows the equations of motion in the horizontal and vertical directions.

A grapefruit falls from a tree and hits the ground 0.80 s later.A. How far did the grapefruit drop?Express

The first Tacoma Narrows Bridge in Washington crossed over a strait in Puget Sound. At the time the suspension bridge was built, construction workers noticed that it moved up and down in the wind. Measures to stop the bridge's movement were ineffective, but the bridge was opened to the public on July 1, 1940. The bridge collapsed on November 7, 1940. Luckily, no people were seriously injured. Determine which technological design criteria the Tacoma Narrows Bridge did and did not meet. Explain your answer.

Answers

Answer:

Follows are the solution to this question:

Explanation:

When the Tacoma Narrows Bridge was built, it may not have met the technical design requirements and when it didn't solve the problem for long so, the bridge will be unsustainable and fell. or we can say that Due to an aeroelastic flutter caused by high winds, the bridge collapsed. The bridge oscillated rapidly and ultimately dropped. Its collapse of the bridge has lasting impacts on science and technology.

Answer:

When the Tacoma Narrows Bridge was built, it may not have met the technical design requirements and when it didn't solve the problem for long so, the bridge will be unsustainable and fell. or we can say that Due to an aeroelastic flutter caused by high winds, the bridge collapsed. The bridge oscillated rapidly and ultimately dropped. Its collapse of the bridge has lasting impacts on science and technology.

Which material is a conductor?
A. chalk
B. lead
C. leather
D. paper
E. rubber

Answers

B. Lead is a conductor....

What is the magnitude BBB of the magnetic field at the location of the charge due to the current-carrying wire

Answers

The magnitude of the magnetic field at the location of the charge due to the current-carrying wire is given as B = μI/2πr.

What is magnetic field?

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

magnetic field due to the current-carrying wire

The magnitude of the magnetic field at the location of the charge due to the current-carrying wire is calculated as follows;

B = μI/2πr

where;

I is the current in the wirer is the location of the magnetic fieldμ is permeability of free space

Thus, the magnitude of the magnetic field at the location of the charge due to the current-carrying wire is given as B = μI/2πr.

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The boundary conditions have _____ effect on the finite difference formulation of interior nodes of the medium.
no
positive
negative
average

Answers

The boundary conditions have a positive effect on the finite difference formulation of interior nodes of the medium. Boundary conditions provide constraints or information at the edges of a computational domain to determine the behavior of the system. In the finite difference method, the values at the boundary nodes are usually known or specified. By incorporating these boundary conditions into the formulation, the behavior of the system is better represented.

When the boundary conditions are properly applied, they help ensure that the finite difference scheme accurately captures the desired physics within the interior nodes. This positive effect allows for more accurate and reliable simulations, as the behavior at the boundaries influences the behavior of the entire system. Boundary conditions have a positive effect on the finite difference formulation of interior nodes. By incorporating the known or specified conditions at the boundaries, the accuracy and reliability of the finite difference method are improved, allowing for a more faithful representation of the desired physics within the system.

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Where are alkaline earth metals found on the periodic table? Group 1 Group 2 Groups 3–12 Group 17'

Answers

Answer:

B- Group 2...  It says my answer is too short so how ya'll doing today?

where m and m are masses and r is the separation distance. the dimension of force is specified by the equation f

Answers

The equation of the force between the two masses separated by distance r, is determined as Gmm/r².

Equation of force between the two masses

The equation of the force between the two masses is determined from Newton's law of universal gravitation as shown below.

f = Gmm/r²

where;

G is universal gravitation constantm is mass in kgr is distance in mf is force in N

Thus, the equation of the force between the two masses separated by distance r, is determined as Gmm/r².

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Explain the difference between the everyday meaning of the phrase “conserving energy” and what scientists mean by the phrase “conservation of energy”

Answers

Conservation of energy has two very different meanings. In the popular sense, "conserve" means to "save" or "preserve." Electric energy for lights likely had its origin in burning coal, so turning off lights tends to preserve coal, a valuable natural resource. In the scientific sense, conservation alludes to constancy.

013
A car of mass 1,000 kg begins stationary on a road at the top of a
mountain, at a height h = 3,000 m. The car then rolls freely down a
winding road, travelling a total distance of 5 km, to reach the height h
= 2,000 m. Assume g = 9.8 ms 2.
1
How much energy did the car lose on descent? Give you answer to 3 significant figures,
with units.
Energy lost =

Answers

The energy lost by the car on descent is 980×10⁴ J

We'll begin by calculating the energy of car at various heights.

At height 3000 m:

Mass (m) = 1000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 3000 m

Energy (E) =?

E = mgh

E = 1000 × 9.8 × 3000

E = 29400000 J

At height 2000 m:

Mass (m) = 1000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 2000 m

Energy (E) =?

E = mgh

E = 1000 × 9.8 × 2000

E = 19600000 J

Finally, we shall determine the the energy lost

Energy at 3000 m = 29400000 J

Energy at 2000 m = 19600000 J

Energy lost =?

Energy lost = Energy at 3000 m – Energy at 2000 m

Energy lost = 29400000 – 19600000

Energy lost = 980×10⁴ J

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PLEASE HELP!

A 7.0 kilogram ball traveling east 5.0 meters per second collided head on with a 3.0- kilogram ball traveling west at 6.0 meters per second. After the collision, the 7.0 kilogram ball bounces off the other and travels west at 2 m/s. Determine the final velocity of the 3.0 kilogram ball.

Thanks to whoever answers!

Answers

Answer:

10.3 m/s to the east

Explanation:

Use the law of conservation of linear momentum:

m1Vi1 + m2Vi2 = m1Vf1 + m2Vf2

We know that

m1 = 7 kg. Vi1 = +5.0 m/s (east is +) Vf1 = -2.0 m/s

m2 = 3.0 kg. Vi2 = -6.0 m/s (west is -) Vf2 = ?

or

(7)(5) + (3)(-6) = (7)(-2) + 3Vf2

Solving for Vf2, we get

Vf2 = 10.3 m/s (to the east)

To understand the continuity equation.
Streamlines represent the path of the flow of a fluid. You can imagine that they represent a time-exposure photograph that shows the paths of small particles carried by the flowing fluid. The figure shows streamlines for the flow of an incompressible fluid in a tapered pipe of circular cross section. The speed of the fluid as it enters the pipe on the left isv_1. Assume that the cross-sectional areas of the pipe areA_1at its entrance on the left andA_2at its exit on the right.
Part A
FindF_1, the volume of fluid flowing into the pipe per unit of time. This quantity is also known as thevolumetric flow rate.
Express the volumetric flow rate in terms of any of the quantities given in the problem introduction.
Part B
Because the fluid is assumed to be incompressible and mass is conserved, at a particular moment in time, the amount of fluid that flows into the pipe must equal the amount of fluid that flows out. This fact is embodied in thecontinuity equation. Using the continuity equation, find the velocityv_2of the fluid flowing out of the right end of the pipe.
Express your answer in terms of any of the quantities given in the problem introduction.
Part C
If you are shown a picture of streamlines in a flowing fluid, you can conclude that the __________ of the fluid is greater where the streamlines are closer together.
Enter a one-word answer.

Answers

A) To find F_1, the volume of fluid flowing into the pipe per unit of time (volumetric flow rate), we can use the formula:
F_1 = A_1 * v_1.

B) To solve for v_2, v_2 = (A_1 * v_1) / A_2.

C) If you are shown a picture of streamlines in a flowing fluid, you can conclude that the "velocity" of the fluid is greater where the streamlines are closer together.

Part A
To find F_1, the volume of fluid flowing into the pipe per unit of time (volumetric flow rate), we can use the formula:
F_1 = A_1 * v_1

Here, A_1 is the cross-sectional area of the pipe at its entrance and v_1 is the speed of the fluid as it enters the pipe.

Part B
To find the velocity v_2 of the fluid flowing out of the right end of the pipe, we can use the continuity equation, which states that the volumetric flow rate is constant throughout the pipe:
A_1 * v_1 = A_2 * v_2

To solve for v_2, we can rearrange the equation:
v_2 = (A_1 * v_1) / A_2

Part C
If you are shown a picture of streamlines in a flowing fluid, you can conclude that the "velocity" of the fluid is greater where the streamlines are closer together.

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Derive the formulas for power, including the following:*P=QV/t*P=IV*P=I²R

Answers

Power is defined as the ratio of the work done to the per unit of time. In mathematical terms, it can be represented as

\(\begin{gathered} P=\frac{W}{t} \\ =\frac{QV}{t} \end{gathered}\)

*Here W is the work done.

*Here Q is the charge.

*Here V is the potential difference.

*Here t is the time.

The power is defined as the product of the current and the voltage. It is given as

\(P=IV\)

*Here I is the current.

*Here V= IR is the voltage.

Substitute the known values in the above expression as

\(\begin{gathered} P=I\times(IR) \\ =I^2R \end{gathered}\)

Grain is pouring into a silo to be stored for later use. Due to the friction between pieces of grain as they rub against each other during the pouring process, one piece of grain picks up a charge of 6.0 E -10 C and another piece of grain picks up a charge of 2.3 E -15 C. What is the electric force between them if the pieces of grain are 2 cm apart?

Answers

Answer:

F = 3.105 10⁻²⁰ N

Explanation:

For this exercise let's use Coulomb's law

          F = k q₁ q₂ / r²

in this case each of the grains has a charge

         q1 = 6.0 10⁻¹⁰ C

         q2 = 2.3 10⁻¹⁵ C

and they are separated by a distance r = 2 cm = 0.02 m

let's substitute

          F = 9 10⁹ 6.0 10⁻¹⁰ 2.3 10⁻¹⁵ / 0.02²

 

         F = 3.105 10⁻²⁰ N

it is since not physics
Fossils and __________ are used to determine the differences between organisms.
fossil record,
invertebrates,
evidence,
natural selection,
genes,
vertebrates

Answers

Your best guess is going to be genes that’s the most common answer I can find.

if a school bus moves for 1 hour with the speed of 76 km/hr how many dose it cover ?​

Answers

Explanation:

it moves at a speed of 76 km/h hence the distance covered in an hour is 76 km

Not yet answered Marked out of 12.00 P Rag question For a very wide channel carries water with flow rate 10 m³/s/m, its water depth is 5 m, bed slope S-0.0002, and the channel roughness n=0.01. Determine the following Channel's velocity= m/sec 4 Energy slope S= Channel's normal water depth y₁= Critical water depth yc = m m

Answers

Channel velocity: 0.707 m/s, Energy slope: 0.020 m/m, Channel's normal water depth (y₁): 5 m and Critical water depth (yc): 3.63 m

The channel width (b) to be 10 meters and the acceleration due to gravity (g) to be approximately 9.81 m/s².

Flow rate (Q) = 10 m³/s/m

Water depth (y₁) = 5 m

Bed slope (S) = -0.0002

Manning's roughness coefficient (n) = 0.01

Channel width (b) = 10 m

Acceleration due to gravity (g) ≈ 9.81 m/s²

Cross-sectional area (A):

A = y₁ * b

A = 5 m * 10 m

A = 50 m²

Wetted perimeter (P):

P = b + 2 * y₁

P = 10 m + 2 * 5 m

P = 20 m

Hydraulic radius (R):

R = A / P

R = 50 m² / 20 m

R = 2.5 m

Velocity (V):

V = (1/n) * \((R^(2/3)\)) \(* (S^(1/2))\)

V = (1/0.01) * \((2.5 m^(2/3)\)) * \(((-0.0002)^(1/2))\)

V ≈ 0.707 m/s

Energy slope (S):

S = V² / (g * R)

S = (0.707 m/s)² / (9.81 m/s² * 2.5 m)

S ≈ 0.020 m/m

Critical water depth (yc):

yc = (Q² / (g * S³))^(1/8)

yc = (10 m³/s/m)² / (9.81 m/s² * (0.020 m/m)³)^(1/8)

yc ≈ 3.63 m

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at what speed (in m/s) will a particle's relativistic momentum equal twice its classical momentum?

Answers

The speed at which a particle's relativistic momentum equal twice its classical momentum, will be 2.598* 10^8 m/s.

Relativistic momentum ensures that the conservation of momentum holds in all inertial frames.

The relativistic effects of length contraction, time dilation, and other similar phenomena are experienced by particles when they move at very high speeds (near the speed of light). The mass of the particles also varies at this high speed. The relativistic momentum is the product of the particle's velocity and its corresponding relativistic mass.

.

Classical momentum P(c)= m'v (m' is the mass of the particles at rest and v is its speed) ..........(1)

Relativistic momentum P(r)= mv                ....(2)

Now, P(r)= 2P(c)              ....(3)

Relativistic mass m= γm' ( γ is the Lorenz factor)      ....(4)

γ= γ 1/ (√1−((v^2)/c^2)))

Putting the value of m' from equation 1 in 4 and then simplifying it, we will  get the value of

v= (√3/2) *c

Putting c as the speed of light = 3* 10^8 m/s

v= 2.598* 10^8 m/s

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Because they have an extended structure, elements that are _
tend to be in the _
state at room temperature.

Answers

Answer:

Metal, middle of the periodic table, solid.

Explanation:

Because they have an extended structure, elements that are metal tend to be in the middle of the periodic table state at room temperature as solid.

Select all the correct answers.
Which three of the following describe key aspects of hydroelectric power generation systems?

A)located in areas of low elevation

B)harness kinetic energy of moving water

C)utilize steam to drive electrical generator

D)utilize dams to hold back water until needed

E)store captured water in large reservoirs

Answers

The three statements that describe key aspects of hydroelectric power generation systems are listed below

B)harness kinetic energy of moving waterD) utilize dams to hold back water until neededE)store captured water in large reservoirs

Meaning of hydroelectric power

Hydroelectric power can be defined as the power that is generated from water. In this case, Water is being utilized to generate power.

Hydroelectric power is a means that has been used for a long time and is still being used by different nations.

In conclusion, The three statements that describe key aspects of hydroelectric power generation systems are listed above.

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You slide towards the window when a car makes a sudden turn

Answers

Answer:

thats ummm

Explanation:

law of inertia

Newton’s 1 law

Sound waves require a medium to travel. *
True
False

 Sound waves require a medium to travel. *TrueFalse

Answers

Answer:

false

Explanation:

Answer:

true

Explanation:

Space is not a medium. and we can not her anything in space. therefore you need a medium in order to hear sound waves.

at one instant a bicyclist is 36.0 m due east of a park's flagpole, going due south with a speed of 12.0 m/s. then 39.0 s later, the cyclist is 36.0 m due north of the flagpole, going due east with a speed of 12.0 m/s. for the cyclist in this 39.0 s interval, what are the (a) magnitude and (b) direction of the displacement, the (c) magnitude and (d) direction of the average velocity, and the (e) magnitude and (f) direction of the average acceleration? (give all directions as positive angles relative to due east, where positive is measured going counterclockwise.)

Answers

(a) The magnitude of the displacement of the cyclist in the 39.0 s interval is 50.0 m. (b) The direction of the displacement is 26.6° counterclockwise from due east. (c) The magnitude of the average velocity is 1.29 m/s (d) The direction of the average velocity is 90° counterclockwise from due east. (e) The magnitude of the average acceleration is 0 m/s². (f) The direction of the average acceleration is undefined.

(a) The magnitude of the displacement of the cyclist in the 39.0 s interval is 50.0 m.

To calculate the displacement, we need to find the net change in position of the cyclist. From the given information, in the first leg of the journey, the cyclist moves 36.0 m due south. In the second leg, the cyclist moves 36.0 m due north. The net change in the north-south direction is 36.0 m - (-36.0 m) = 72.0 m. Since the displacement is the shortest straight-line path between the initial and final positions, the magnitude of the displacement is given by the Pythagorean theorem: √((72.0 m)^2 + (36.0 m)^2) = 50.0 m.

(b) The direction of the displacement is 26.6° counterclockwise from due east.

To determine the direction, we can use trigonometry. The angle can be found using the inverse tangent function: θ = tan^(-1)((36.0 m) / (72.0 m)) = 26.6°. Since the cyclist is north of the flagpole, the displacement is counterclockwise from due east.

(c) The magnitude of the average velocity is 1.29 m/s.

Average velocity is calculated as the displacement divided by the time interval: (50.0 m) / (39.0 s) = 1.28 m/s.

(d) The direction of the average velocity is 90° counterclockwise from due east.

Since the cyclist is moving east during the second leg of the journey, the average velocity is in the same direction. Counterclockwise from due east is 90°.

(e) The magnitude of the average acceleration is 0 m/s².

Average acceleration is given by the change in velocity divided by the time interval. Since the speed of the cyclist remains constant at 12.0 m/s throughout the journey, there is no change in velocity, and thus the average acceleration is 0 m/s².

(f) The direction of the average acceleration is undefined.

Since the average acceleration is 0 m/s², there is no change in velocity, and therefore, no specific direction can be assigned to the average acceleration.

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Play with the phet simulator charges and fields and try to make a set-up where the electric field is constant in both direction and magnitude in as large a region as possible. Use the probe to check your set-up. Submit a screen shot of your result

Answers

As per the simulation, we can create a setup where the electric field is constant in both direction and magnitude by placing two charges of equal magnitude and opposite sign equidistant from the probe.

To achieve this, I selected two charges of equal magnitude (+10 nC and -10 nC) and placed them on the y-axis at a distance of 2 meters from the origin. The distance between the two charges was also 2 meters. By doing this, the electric field between the two charges was constant and equal in magnitude and opposite in direction, creating a region where the electric field is constant in both direction and magnitude.

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thermal energy is added to 150 g of water at the rate of 55 j/s for 2.5 min. how much does the temperature of the water increase ?

Answers

If thermal energy is added to 150 g of water at a rate of 55 J/s for 2.5 minutes, the temperature of the water will increase by 6.58°C, as calculated using the equation for specific heat capacity.

To determine the increase in temperature of 150 g of water when thermal energy is added at a rate of 55 J/s for 2.5 minutes, we need to calculate the amount of heat energy added to the water and use this to determine the increase in temperature.

The amount of heat energy added to the water can be calculated as follows:

Q = 55 J/s * 2.5 min * 60 s/min = 6675 J

Next, we can use the equation for specific heat capacity to determine the increase in temperature of the water:

ΔT = Q / (mass * specific heat capacity)

where ΔT is the increase in temperature, Q is the heat energy added, mass is the mass of water (150 g), and specific heat capacity is the amount of heat energy required to raise the temperature of 1 g of water by 1°C (usually around 4.18 J/g°C).

Substituting in the values, we have:

ΔT = 6675 J / (150 g * 4.18 J/g°C) = 6.58°C

So the temperature of the water would increase by 6.58°C.

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A star with a mass like the Sun which will soon die is observed to be surrounded by a large amount of dust and gas -- all material it has expelled in the late stages of its life. If astronomers want to observe the radiation from such a giant star surrounded by its own debris, which of the following bands of the spectrum would be the best to use to observe it?

a. gamma-rays
b. x-rays
c. ultraviolet
d. infrared
e. very long wavelength radio waves

Answers

Answer: D. Infrared

Infrared is the best way to observe it.

2.when 1.0-a electric current flows through a piece of cylindrical copper wire, the voltage drop is 5.38 mv. what is the electric resistance of the wire?

Answers

When 1.0-a electric current flows through a piece of cylindrical copper wire, the voltage drop is 5.38 mv, so the electric resistance of the wire is 5.38 ohms.

Determine the electric resistance

The electric resistance of the wire can be calculated using Ohm's Law, which states that the voltage drop across a conductor is equal to the product of the current flowing through it and the resistance of the conductor. Mathematically, this can be written as:

V = I * R

Where V is the voltage drop, I is the current, and R is the resistance. We can rearrange this equation to solve for the resistance:

R = V / I

Plugging in the given values:

R = (5.38 mv) / (1.0-a)

R = 5.38 ohms

Therefore, the electric resistance of the wire is 5.38 ohms.

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The blank of blank is what creates electricity

Answers

Answer:

blank plus water is produ-ed in a tunnel and generate the electricity

how density of substance change with change in temperature?

Answers

The answer is above but I don't know if it's correct.

how density of substance change with change in temperature?

why are the group 17 elements the most reactive of the nonmetal elements a)they are the biggest elements b)they have the fewest electrons c)they are located on the farthest right side of the periodic table d)they require only one electron to fill their outer energy level

Answers

Answer:

I think the answer is D-they require onky one electron to fill their outer energy level.

Other Questions
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