two solenoids are made with the same cross sectional area and total number of turns. inductor b is twice as long as inductor a;

Answer:

D. 1×10⁻⁸ M

Explanation:

[H⁺] [OH⁻] = 10⁻¹⁴

(1×10⁻⁶) [OH⁻] = 10⁻¹⁴

[OH⁻] = 1×10⁻⁸

The concentration of hydroxyl ion will be  \(10^{-8}\)M.

The amount of a chemical substance in a mixture is expressed by the substance's concentration.

Calculation of concentration.

Given data:

Concentration of H+ =  1 x \(10^{-6}\) M.

It is known that,

[\(H^{+}\)][\(OH^{-}\)] = \(10^{-14}\)M

Now, put the value of concentration of [\(H^{+}\)] in above equation.

[1× \(10^{-6}\)][\(OH^{-}\)] =  \(10^{-14}\)M

[\(OH^{-}\)]  =   \(10^{-14}\) / [1× \(10^{-6}\)]M

[\(OH^{-}\)]  = \(10^{-8}\)M

Therefore, the concentration of hydroxyl ion will be  \(10^{-8}\)M.

Hence, the correct answer will be an option (D).

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Answer:

the function of the blanket is to keep Kamins warm so he wouldn't get cold

Explanation:

the thick layer of the material acts as a body protector from the cold weather

Answer:

The function of the blanket is to provide warmth to Kamini, since the weather is cold they use a thick blanket.

Explanation:

Answer:

Explanation:

magnetic field B = (3 i + 8 x 2 j )x 10⁻³ T

= (3 i + 16 j )x 10⁻³ T

L = - i ( unit length of conductor )

Force F = I ( L x B ) , I is current

= 5 [ - i x ( 3i + 16 j ) 10⁻³]

= 5 ( - 16 k ) x 10⁻³

F = - 80 x 10⁻³ k

It is not possible for a particle with rest mass to travel at the speed of light in the laboratory frame. According to the theory of relativity, the speed of light is the maximum speed that any particle with mass can reach, and particles without mass (such as photons) always travel at the speed of light. Therefore, the question is not well-defined and cannot be answered.

According to the laws of physics, a particle with a non-zero rest mass cannot reach the speed of light. As a particle approaches the speed of light, its relativistic mass increases, and it would require infinite energy to accelerate it to the speed of light. Therefore, if a particle is observed to be traveling at the speed of light in the laboratory frame, it must be a massless particle like a photon. In this case, the rest mass (m) of the particle would be 0 MeV/c².

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An ideal-gas mixture of helium and argon gases with identical mass fractions enters a turbine at 1500 K, the power output of the turbine is 320kW.

Molar mass of a mixture of an ideal gas expressed as,

Mm = mm/nm

= 1/ 0.5/4.003 + 0.5/39.948

= 7.276823918 kg/kmol

Specific at constant pressure of mixture,

Cp.m = ∑ mf + Cp

= 0.5x5.1926 + 0.5x0.5203

Cpm = 2.856 kj/kgK.

Gas constant,

Rm = Ru/Mm = 8.314/7.276823918

= 1.142531425 KJ/kg-k

Specific heat mixture at volume is constant

Rm + Cvm = Cpm

Cvm = 1.7135 KJ/kg-K

Then specific heat ratio of mixture

k = Cpm/Cvm k = 2.856/107136 = 1.66

k = 1.66.

Steady state flow equation,

mh1 + 0 = mh2 + W

W = 0.12x2.856 [1550 - 620.499]

W = 318.558 kW

W ≈ 320 kW

Therefore, The power output of the turbine is approximately: 320kW

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Answer:

Chemical

Explanation:

Just cuz

Answer:

Its chemical

Explanation:

I just took the quiz

Answer:

Convection cells

Explanation:

As the cold air moves away from poles, it begins to warm up. This warm air now becomes lighter and the pressure drops significantly at 60° N and 60° south latitude. The air from poles further gushes into these belts because the low pressure created. Thus, convection cells are formed because this rise and fall of air in circular pattern.

Hence, the name given is convection cells.

Answer:

1) Use multiple instruments to measure

2) Take several measurements

3) Control the other variables delicately  

4) Be meticulous when measuring

When a knowledgeable amateur astronomer tells you that she has a 14-inch telescope, the number 14 refers to the diameter of the telescope’s objective lens.

A telescope is a device used to view distant objects by utilizing electromagnetic radiation to either magnify their apparent size or gather more light than the human eye can. Telescopes are used for scientific, commercial, and amateur purposes. The telescope comprises an objective lens or mirror and an eyepiece to magnify the images created by the objective. Most telescopes have a viewfinder to make it simpler to aim the telescope precisely at the object of interest. They may also have a motorized mount to track celestial objects as they move across the sky.

Telescopes come in a variety of sizes, designs, and shapes and they range from large observatory telescopes to handheld amateur models. They are often classified into two types, reflecting and refracting telescopes and the size of a telescope is determined by the diameter of its objective lens or mirror. The bigger the diameter, the more light the telescope can collect, and the clearer the image. The diameter of the objective is the most significant aspect of a telescope when it comes to observing the heavens. For instance, a 14-inch telescope has an objective lens with a diameter of 14 inches, this large lens is capable of collecting a lot of light and providing clear images, making it a perfect tool for viewing the night sky.

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Hubble discovered that the Great Nebula in the Andromeda constellation was not a part of our Milky Way galaxy, but rather a separate galaxy in its own right.

Edwin Hubble was an American astronomer who made significant contributions to the field of observational astronomy. He is best known for discovering the expanding universe and establishing the existence of other galaxies beyond our Milky Way.

In 1924, Hubble used the 100-inch telescope at Mount Wilson Observatory to observe a number of celestial objects, including the Great Nebula in the Andromeda constellation. Through his observations, Hubble discovered that the Great Nebula was not a part of our Milky Way galaxy, but rather a separate galaxy in its own right.

The Andromeda constellation is a grouping of stars located in the northern sky. It is best known for containing the Andromeda Galaxy, also known as Messier 31. This galaxy is the closest spiral galaxy to our own Milky Way, located about 2.5 million light years away from Earth.

As for the Great Nebula, it is a bright and prominent object located within the Andromeda Galaxy. Specifically, it is located in the region known as M31's central bulge. The Great Nebula is actually a massive cloud of gas and dust that is in the process of forming new stars.

In summary, Edwin Hubble discovered that the Great Nebula in the Andromeda constellation was actually a separate galaxy from our own and not a part of the Milky Way. The Great Nebula is a prominent feature within the Andromeda Galaxy and is a massive cloud of gas and dust that is currently forming new stars.

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The swimmer would take 258 seconds, or 4 minutes and 18 seconds, to cross the river.

To solve this problem, we can use vector addition to find the swimmer's resultant velocity.

(i) Along what direction must he strike?

Let's draw a diagram to represent the situation:

    A

   /|

  / |

 /  |

/   |

B----C

In this diagram, the river flows from point A to point B, and the swimmer wants to cross the river from point C to point B. Let's call the velocity of the river Vr = 5 km/h and the velocity of the swimmer Vs = 10 km/h. We want to find the direction the swimmer should strike to cross the river straight.

Since the swimmer wants to cross the river straight, he needs to swim in a direction perpendicular to the river's flow. This means that the angle between the swimmer's velocity and the river's velocity should be 90 degrees.

Using trigonometry, we can find that the angle between the swimmer's velocity and the direction perpendicular to the river's flow is:

theta = arctan(Vr / Vs)

= arctan(5 / 10)

= 26.57 degrees

Therefore, the swimmer should strike at an angle of 26.57 degrees to the direction perpendicular to the river's flow.

(ii) What should be his resultant velocity?

To find the swimmer's resultant velocity, we need to add his velocity to the velocity of the river. Since the swimmer is swimming at an angle of 26.57 degrees to the direction perpendicular to the river's flow, we need to use vector addition to find his resultant velocity:

     Vs

    /|

   / |

  /  |Vr

 /   |

B----C--->river flow

Using trigonometry, we can find that the magnitude of the swimmer's resultant velocity is:

V = sqrt(Vs^2 + Vr^2)

= sqrt(10^2 + 5^2)

= 11.18 km/h

To find the direction of the swimmer's resultant velocity, we can use the following formula:

theta = arctan(Vr / Vs)

= arctan(5 / 10)

= 26.57 degrees

Therefore, the swimmer's resultant velocity is 11.18 km/h at an angle of 26.57 degrees to the direction perpendicular to the river's flow.

(iii) How much time would he take?

To find the time the swimmer would take to cross the river, we can use the following formula:

time = distance / velocity

The distance the swimmer needs to cross the river is the width of the river, which is 800 m. The swimmer's velocity is 11.18 km/h, or 3.1 m/s.

time = 800 / 3.1

= 258 seconds

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Answer:

it is a the answer is a btw

Explanation:

Answer:

P = 2.33 kW

Explanation:

Given that,

Mass, m = 200 kg

It is raises in the well from a depth of 7 m in 6 s.

W e know that,

Power = work done/time

Put all the values,

\(P=\dfrac{mgh}{t}\\\\P=\dfrac{200\times 10\times 7}{6}\\\\P=2333.3\ W\)

or

P = 2.33 kW

Hence, the power of the engine is 2.33 kW.

The Earth's temperature without an atmosphere, determined by substituting 342 W/m² for outgoing longwave radiation and rearranging the Stefan-Boltzmann equation, is approximately 255 K.

By substituting the given values into the Stefan-Boltzmann equation, we can solve for the Earth's temperature without an atmosphere. Assuming an emissivity of 1, the equation becomes 342 = (5.67 × 10^-8) × T^4. Solving for T yields a temperature of approximately 255 K.

Converting this temperature to degrees Celsius, we subtract 273.15 to obtain approximately -18.15 °C. Similarly, converting to degrees Fahrenheit using the conversion formula, we find approximately -0.67 °F.

This temperature of -18.15 °C (or -0.67 °F) represents the hypothetical temperature of the Earth without an atmosphere. Comparing it to the actual average temperature of the Earth, around 15 °C (or 59 °F), we can see that it is significantly colder. The presence of the atmosphere is crucial for trapping heat through various greenhouse gases, such as carbon dioxide and water vapor, which maintain a habitable temperature range on Earth. Without the atmosphere's greenhouse effect, the Earth's temperature would be much colder, emphasizing the vital role played by our atmosphere in sustaining life on the planet.

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Answer:

The maximum height above the ground the rocket reaches is 123.1 m.

Explanation:

Let's find the final velocity at a distance of 200 m:

\( v_{f}^{2} = v_{0}^{2} + 2ad \)

Where:

\(v_{f}\) is the final speed =?

v₀ is the initial speed =0

a is the acceleration = 1.25 m/s²

d is the distance = 200 m

\(v_{f} = \sqrt{2ad} = \sqrt{2*1.25 m/s{2}*200 m/s} = 22.4 m/s\)    

Now, when the engines of the rocket turn off and it is subject only to gravity, the height reached is:

\( v_{fy}^{2} = v_{0y}^{2} - 2gh \)

Where:

\(v_{f}\) = 0

\(h = -\frac{v_{fy}^{2} - v_{0y}^{2}*sin(\theta)}{2g} = \frac{(22.4*sin(35))^{2}}{2*9.81 m/s^{2}} = 8.4 m\)

Finally, the maximum height above the ground is:

\( h_{max} = h + H \)

Where H is the vertical component of the 200.0 meters.

\(h_{max} = h + H = 8.4 m + 200.0 m*sin(35) = 123.1 m\)

Therefore, the maximum height above the ground the rocket reaches is 123.1 m.

I hope it helps you!                                                          

Answer:

The position, speed, direction and acceleration

Answer:

when an object is moving..

Answer:

Y

Explanation:

the net force on y is 45 +35 = 75 N [right]

As energy is transferred through a wave, water particles are set in a circular motion that is option C.

Water particles start to travel up or down as they join a wave. The energy of movement, or kinetic energy, has therefore been transmitted to them. The particles slow down as they go upward or downward towards the wave crest or trough, respectively, from their usual location. The energy of particles in a wave oscillates between kinetic and potential energy, therefore this indicates that some of their kinetic energy has been transformed into potential energy.

The frequency and wavelength of a wave are both measures of its energy, however this varies depending on the type of wave.

The most energetic waves in water are those that move quickly and have a long wavelength, like a tsunami. As speed is constant for electromagnetic waves, the most energetic waves are those with a high frequency and a short wavelength (like X-rays).

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The work done by the turbine per unit mass of air is given by,

\(W = c p (T 3 - T 4 ) \\= c p (T 2 - T 1 )Here, \\T1 = 283 K, \\T2 = T1 + 200 \\= 483 K, \\T3 = T2 + 722 \\= 1205 K, \\T4 = T1 + 273 \\= 556 Kc \\p = 1.005 kJ/(kg K)\)

Thus, the work done by the turbine is,

\(W = 1.005 (1205 - 556) \\= 680.745 kJ/kg\)

The fuel used by the turbine has a heating value of 43 MJ/kg. Thus, the fuel required per unit of work is given by, Fuel per unit of work \(= 43 × 10⁶ / 680.745\\ = 63034.8 kJ/kg\)

Answer: The fuel flow rate required for 1 MW output is 0.026 kg/s. The rate in kg/s at which fuel must be burned for each MW of output from the power plant is 0.026 kg/s.

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Answer:

Explanation:

Since we have no friction and we also have no angle of inclination, this is a straightfoward force problem, where

F = ma

Filling in,

F = (115)(7.8) so

F = 9.0 × 10¹ N

When a rightward moving car is skidding to a stop across the roadway with locked wheels, car will experience a decrease in velocity and come to a stop.

Option (c) is correct

When a car with locked wheels is skidding to a stop, the frictional force between the tires and the road is the primary force acting on the car. This force opposes the car's motion and causes it to slow down.

As the car's wheels are locked, there is no rolling resistance, and the only force opposing its motion is the kinetic friction between the tires and the road. This frictional force acts in the opposite direction to the car's velocity, decelerating it.

As the car continues to skid, the frictional force gradually reduces its speed until it comes to a complete stop. During this process, the car's kinetic energy decreases as it is converted into other forms of energy, such as heat generated by the friction between the tires and the road.

Ignoring air resistance, the car will eventually come to a stop as the frictional force brings its velocity to zero. Therefore, the correct option is (c)

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A rightward moving car is skidding to a stop across the roadway with locked wheels. (Ignore air resistance) Options:

a) The car will accelerate in the opposite direction.

b) The car will continue moving at a constant velocity.

c) The car will experience a decrease in velocity and come to a stop.

d) The car will start moving leftward.

Your average velocity is 64 mph. Hence, if you drove 48 miles in 45 minutes, you would drive 64 miles in an hour.

The average velocity is determined by dividing the change in displacement (∆d) by the change in time (∆t).

To determine how many miles you would drive in an hour, given that you drove 48 miles in 45 minutes, we need to convert the time to hours.

We know that the distance covered or displacement is 48 miles, and the time taken is 45 minutes.We know that 60 minutes is equal to 1 hour.

Therefore, we have to convert the time of 45 minutes to hours. To convert a time value from minutes to hours, we can achieve this by dividing the given value by 60. Thus, 45/60 = 0.75 hours.

Now that we have the time taken to cover a distance of 48 miles as 0.75 hours, we can now use the formula of velocity to calculate the average velocity.v = d/tv = 48/0.75v = 64 mph

Therefore, your average velocity is 64 mph. Hence, if you drove 48 miles in 45 minutes, you would drive 64 miles in an hour.

The question should be:

if you drove 48 miles in 45 minutes how many would you drive in a hour. This question is asking to find average velocity with knowns of displacement and change in time.

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If the air bags are not in proper operating condition, the warning light will stay on.

It is important to have the air bags checked and repaired by a qualified mechanic to ensure they are functioning properly in the event of an accident. Driving with malfunctioning air bags can be dangerous and increase the risk of injury in a collision.

Some of the common causes of the airbag warning light are:

Faulty sensors: The sensors are devices that monitor various parameters of your car and tell the computer when to inflate the airbags. If the sensors are damaged, malfunctioning, or tripped accidentally, they can trigger the warning light.

Wet airbag module: The airbag module is an electronic device that controls the airbag system. It is usually located under the seat or behind the dashboard. If the module gets wet due to flooding, spills, or moisture, it can cause corrosion or short circuits that can activate the warning light.

Worn out airbag clock springs: The airbag clock springs are spiral wires that connect the driver’s airbag on the steering wheel to the electrical system. They allow the steering wheel to rotate while maintaining contact with the airbag. Over time, these wires can wear out or break and cause a loss of communication between the airbag and the computer.

Deactivated airbag: The airbag can be deactivated due to a fault in the airbag itself or in any of its components, such as the inflator, wiring, or connector. This can happen due to age, wear and tear, impact, or tampering.

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Take "to the right" to the be the positive horizontal direction. Then the net force on the box in the horizontal is

∑ F = 225 N - 100 N = 125 N

and by Newton's second law,

∑ F = ma   ↔   125 N = (250 kg) a

where a is the acceleration of the box. Solve for a :

a = (125 N) / (250 kg) = 0.5 m/s²

Answer:

Explanation:

2'75·10∧-4

Answer:

the resistance of the copper wire 20 meters long and with a diameter of 0.05 cm is 0.342 ohms.

Explanation:

To calculate the resistance of the copper wire, we need to use the formula:

R = (ρ * L) / A

where R is the resistance of the wire, ρ is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.

The resistivity of copper is 1.68 × 10^-8 Ω·m.

First, we need to calculate the cross-sectional area of the wire:

A = π * (d/2)^2

A = π * (0.05cm/2)^2

A = 0.0019635 cm^2

Note that we converted the diameter from centimeters to meters, since the resistivity is given in ohms per meter.

Now, we can calculate the resistance of the wire:

R = (ρ * L) / A

R = (1.68 × 10^-8 Ω·m * 20m) / 0.0019635 cm^2

R = 0.342 Ω

Therefore, the resistance of the copper wire 20 meters long and with a diameter of 0.05 cm is 0.342 ohms.

Answer:

Therefore the planet is Saturn .

Explanation:

Let acceleration due to gravity be g .

weight on the planet = 726 g

Frictional force = μs mg

= .65 x 726 x g

This force is equal to 4930 N .

.65 x 726 x g = 4930 N .

g = 10.44 .

Therefore the planet is Saturn .

Answer:

hope it helps you see the attachment for further information

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2 × 2

We have the final answer as

Hope this helps you