Three inductors are connected in parallel. Inductor 1 has an inductance of 2.5 H, inductor 2 has an inductance of 1.8 H, and inductor 3 has an inductance of 1.2 H. What is the total inductance of this circuit?

Answers

Answer 1

The total inductance of the circuit is approximately 0.559 H.

When inductors are connected in parallel, the total inductance is given by the formula:

1/L = 1/L1 + 1/L2 + 1/L3

where  L1, L2, and L3 are the inductances of the individual inductors.

Substituting the given values, we get:

1/L = 1/2.5 + 1/1.8 + 1/1.2

Simplifying the equation, we get:

1/L = 0.4 + 0.5556 + 0.8333

1/L = 1.7889

Taking the reciprocal of both sides, we get:

L = 1/1.7889

L ≈ 0.559 H

Therefore, the total inductance of the circuit is approximately 0.559 H.

What is an inductance ?

Inductance is a property of an electrical circuit or component, such as a coil or inductor, that opposes any change in the electric current flowing through it. It is a measure of the amount of magnetic energy that is stored in a circuit when a current is passed through it.

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Related Questions

T/F. The experiments in this lab session use the property of laser light collimation because in this way ligtht does not diverge (spread out)

Answers

True, The experiments in this lab session indeed make advantage of the laser light collimation feature since it prevents light from diverging.

Making light beams parallel is a technique called collimation. Due to stimulated emission, which produces photons with the same direction, frequency, and phase, the light in a laser is already collimated. Laser light is an extremely potent source of collimated light as a result, as it can travel across great distances without much spreading.

Intensity and resolution both drop off quickly as the light diverges, which can result in mistakes or information loss.

In the experiments of this lab session, the collimation of the laser light is required to ensure that the light propagates through the optical components.

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Janine hits a hockey puck across an ice rink. The distance between the puck and Janine for the first ten seconds after she hits it is graphed below.



Judging from the graph, which of the following statements is true?
A.
The hockey puck moved at a constant speed away from Janine.
B.
The hockey puck's speed decreased as it moved away from Janine.
C.
The hokey puck moved at a constant speed toward Janine.
D.
The hockey puck's speed increased as it moved away from Janine.

Answers

A. The hockey puck moved at a constant speed away from Janine.

When the hockey puck is skating across the ice at a constant speed?

The hockey puck is in equilibrium as a result of moving at a steady pace. Dynamic equilibrium is the name given to this form of equilibrium. Hence, if the hockey puck is moving over the ice at a constant pace, it is in equilibrium.

Is velocity merely the direction in which an object moves and unrelated to speed?

There is no connection between velocity and speed; velocity is the direction that an object moves in. Velocity is the combination of speed and direction. Speed and velocity are very similar to each other.

Which of Newton's equations of motion best describes the motion of a hockey puck sliding through ice without any external forces acting on it?

The sum of the forces exerted on an object must be zero since, in accordance with Newton's first law of motion, an object moving at a constant speed experiences no net external force.

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imagine a 24 ml sample of snow from the mountains. when the snow melts, what is the volume of liquid water? assume that the snow has density 0.5g/ml.

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When the snow melts, it will form liquid water, and the volume of the water will be equal to the volume of the original snow sample. Therefore, the volume of liquid water produced by the melting of the 24 ml sample of snow is also 24 ml.

If the snow has a density of 0.5 g/ml, then the mass of the snow is:

mass = density x volume = 0.5 g/ml x 24 ml = 12 g

Therefore, the volume of liquid water produced by the melting of the 24 ml sample of snow is also 24 ml.

What is volume?

Volume of liquid refers to the amount of space that a liquid occupies. It is a measure of the three-dimensional space that the liquid occupies and is usually measured in units such as liters, milliliters, gallons, or fluid ounces. The volume of a liquid is determined by the shape of the container in which it is placed, and it can be measured directly using a graduated cylinder or other volumetric measuring device.

What is density?

Density is a physical property of matter that describes how much mass is present in a given volume of a substance. It is defined as the mass of a substance per unit volume, and is typically measured in units such as grams per milliliter (g/mL) or kilograms per cubic meter (kg/m³).

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In this circuit, what is the potential difference across C4?
Use the following values in your calculation:
V = 12.0 V
C1 = 3.0 ?F
C2 = 2.0 ?F
C3 = 2.0?F
C4 = 1.0 ?F
C5 = 4.0 ?F
V4 =

Answers

The potential difference across C4 can be found using the equation V = V4 - V3. Using the given values, V = 12.0V, C1 = 3.0 ?F, C2 = 2.0 ?F, C3 = 2.0 ?F, C4 = 1.0 ?F, and C5 = 4.0 ?F, we can solve for V4.



V4 = 12.0V + (3.0 ?F + 2.0 ?F + 2.0 ?F + 1.0 ?F) / (1.0 ?F + 4.0 ?F)
V4 = 12.0V + (8.0 ?F / 5.0 ?F)
V4 = 12.0V + 1.6V
V4 = 13.6V
Therefore, the potential difference across C4 is 13.6V - 12.0V = 1.6V.
The potential difference across C4 can be determined using the formula Q = CV. Where Q represents the charge stored in the capacitor, C represents capacitance, and V represents the potential difference across the capacitorTo determine the potential difference across C4, we can use the formula Q = CV. To determine Q, we need to determine the equivalent capacitance of the circuit.

The equivalent capacitance of capacitors in parallel is equal to the sum of their capacitance. The equivalent capacitance of capacitors in series is equal to the reciprocal of the sum of their reciprocals.C1, C2, and C3 are in series, and their equivalent capacitance is given by:C_eq1=1/((1/C1)+(1/C2)+(1/C3))=1/(1/3+1/2+1/2)=3/7 μF{C_eq1=1/((1/C1)+(1/C2)+(1/C3))=1/(1/3+1/2+1/2)=3/7μF}C_eq2 is the equivalent capacitance of C4 and C5 in parallel.C_eq2=C4+C5=1+4=5μF {C_eq2=C4+C5=1+4=5μF}

Now we can determine the equivalent capacitance of the entire circuit.C_eq=C_eq1+C_eq2=3/7+5=38/7μF{C_eq=C_eq1+C_eq2=3/7+5=38/7μF}Now, we can determine the charge stored in the circuit.Q=C_eqV=38/7*12= 65.14μC{Q=C_eqV=38/7*12=65.14μC}To determine the potential difference across C4, we can use the formula Q = CV.V=C4Q/C4= 65.14/1 = 65.14V{V=C4Q/C4=65.14/1=65.14V}Therefore, the potential difference across C4 is 65.14 V.

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figure is dilated by a factor if 3 centered at the origin

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Co-ordinates are (-3, 9), ( -6, -6), ( 9, -3), for this we have to learn scale factor.

What is scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given coordinates of triangle (-1, 3), (-2, -2) and (3, -1)

As, the figure dilated by factor 3

Then the coordinates after dilation is

(-1 * 3, 3 * 3 ) = ( -3, 9 )

(-2 * 3, -2 * 3 ) = ( -6, -6 )

(3 * 3, -1 * 3 ) = ( 9, -3 )

Hence co-ordinates are :

(-3, 9), ( -6, -6), ( 9, -3).

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P2. Charges q and Q are placed on the x-y plane at (0,0) and at (0, 3) m, respectively.
Where q = 50 pC and Q = -40 pC.
a. Draw the situation to solve the next step.
b. Determine the net electric flux through a closed cylindrical surface that has a diameter of 5 ma
a height of 4 m, where the axis of the cylinder is the z axis and its mid-point is at the origin.

Answers

(a). Here is a diagram of the situation:

        |           Q (-40 pC)

        |             ^

        |             |

 --------|----------- 3 m

        |             |

        |             |

        |             |

        |             |

        |             |

        |           q (50 pC)

        |_____________|___________> x = 0 m

            3 m

(b).  The net electric flux through the closed cylindrical surface is -100.5 N m^2/C.

We can use Gauss's Law to calculate the electric flux through the cylindrical surface.

Choose a cylindrical Gaussian surface of radius r=2.5 m and height h=4 m, centered at the origin.The electric field at any point on the cylindrical surface due to Q is given by E_Q = kQ/r^2, where k is Coulomb's constant (9 x 10^9 N m^2/C^2).The electric field at any point on the cylindrical surface due to q is given by E_q = kq/r^2.The net electric field at any point on the cylindrical surface is E_net = E_Q + E_q.Since the surface is symmetric around the z-axis, we can assume that the electric field is perpendicular to the end surfaces of the cylinder, so the electric flux through these surfaces is zero.Therefore, the net electric flux through the cylindrical surface is Φ_E = E_net * A, where A is the area of the curved surface of the cylinder.The area of the curved surface of the cylinder is A = 2πrh = 20π m^2.Substituting the values for E_Q and E_q, we get E_net = -1.60 x 10^6 N/C (negative because the electric field due to Q is in the opposite direction to that due to q).Therefore, Φ_E = (-1.60 x 10^6 N/C) * (20π m^2) = -100.5 x 10^6 N m^2/C = -100.5 N m^2/C.

Therefore, the net electric flux through the closed cylindrical surface is -100.5 N m^2/C.

What is an electric flux?

Electric flux is the measure of the total electric field passing through a surface. It is a scalar quantity, and its unit is the volt meter (V m) or newton meter squared per coulomb (N m^2/C).

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Alice and Bob start walking toward each other when they are 111.8 m apart. Alice has a speed of 1.8 m/s and Bob has a speed of 1.4 m/s. Alice's dog Spot starts at her side at the same time and runs back and forth between them at 6.5 m/s. By the time Alice and Bob meet, what distance has Spot run in meters? Select one: A. 113.5 B. 151.4 C. 252.3 D. 227.1 E. 283.9

Answers

Answer:

They are approaching at speed 1.8 + 1.4 = 3.2 m/s

T = 111.8 / 3.2 = 34.94 sec to reach each other

S = V T     where V = 6.5 m/s      Spot's speed

6.5 m/s * 34.9 = 227.1 m

(D) 227.1 m    the distance Spot has to run

Please help 50 points and Brainly

Answers

Answer: 1st one: chemical to mechanical to electrical to thermal

2nd: hydroelectric, 3rd: gravity

Which one of the following types of electromagnetic radiation is produced by the sudden deceleration of high speed electrons?
a.x-rays
b.microwaves
c.infrared radiation
d.visible light
e.gamma rays

Answers

The correct answer is a. x-rays is produced by the sudden deceleration of high speed electrons.

What is x-rays?

When high-speed electrons are suddenly decelerated or slowed down, they release energy in the form of electromagnetic radiation. This process is known as bremsstrahlung or "braking radiation". The energy of the emitted radiation depends on the initial speed of the electrons and the degree of deceleration.

In the case of bremsstrahlung, the emitted radiation can range from radio waves to gamma rays, but the highest energy radiation produced by bremsstrahlung is x-rays. Therefore, the sudden deceleration of high-speed electrons produces x-rays.

X-rays are ionizing radiation, meaning that they have enough energy to remove electrons from atoms or molecules, which can cause damage to living tissue. Therefore, exposure to X-rays should be limited and controlled to minimize health risks.

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Complete question is: x-rays is produced by the sudden deceleration of high speed electrons.

My favorite sports team lost the game. Can I sue the opposing team for emotional trauma?

Answers

Answer:

No, you cannot sue the opposing team for emotional trauma resulting from your favorite sports team's loss. Sports are competitive events, and it is expected that one team will win and the other will lose. It is not a legal basis for a lawsuit.

For which of the following types of electromagnetic radiation will diffraction most likely occur as the wave passes through a classroom doorway? A) X-rays, because of their high energy. B) Visible light, because that type of electromagnetic radiation is most abundant. C) Radio waves, because of their wavelength. D) Diffraction will occur equally for all electromagnetic waves.

Answers

Option C, Because of the wavelength of radio waves and other forms of electromagnetic radiation, diffraction is most likely to occur as the wave travels through a classroom doorway.

Diffraction is the bending of waves around barriers or through apertures that are equivalent to or smaller than the wavelength of the wave.

Because radio waves have longer wavelengths than visible light and X-rays, they are more likely to diffract while passing through a similar-sized aperture, such as a classroom doorway.

Because X-rays have considerably shorter wavelengths and visible light has wavelengths in between, diffraction is less likely to occur in this scenario for these forms of electromagnetic energy. As a result, option C is the right answer.

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a tennis ball is dropped from a height of 1.21 m above the ground. calcualte its velocity when it is 0.27m from the ground

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The velocity of the tennis ball when it is 0.27m from the ground is approximately 3.39 m/s.

What is velocity?

To calculate the velocity of the tennis ball when it is 0.27m from the ground, we can use the principle of conservation of mechanical energy, which states that the total mechanical energy of an object is conserved when it moves through a conservative force field, such as gravity.

At the initial position, the ball has potential energy due to its position above the ground, but no kinetic energy as it is at rest. At the final position, the ball has no potential energy (since it is at the same height as the ground), but it has kinetic energy due to its motion. Assuming that air resistance is negligible, the initial potential energy is converted into final kinetic energy, so we can equate these energies:

mgh = (1/2)mv²

where m is the mass of the ball, g is the acceleration due to gravity, h is the initial height of the ball above the ground, and v is the velocity of the ball when it is 0.27m from the ground.

We can rearrange this equation to solve for v:

v = √(2gh)

Substituting the given values, we get:

v = √(2 x 9.81 m/s² x (1.21 m - 0.27 m)) = 3.39 m/s

Therefore, the velocity of the tennis ball when it is 0.27m from the ground is approximately 3.39 m/s.

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What type of electromagnetic wave is sent as a signal by a cell phone to the
nearest cell tower?
A. Gamma rays
B. Microwaves
C. X-rays
D Ultraviolet

Answers

Answer:B. Microwaves

Explanation:

Hope this helped you. Pls brainliest! :D

If you have just used a velocity selector for electrons and you wish to use it to choose
positrons with the same speed, do you have to change any settings which are related to
electric field and magnetic field on the velocity selector? Explain your answer with the aid
of labelled diagram

Answers

Answer:

Explanation:

Yes, the settings related to electric and magnetic fields need to be changed to select positrons with the same speed as electrons in a velocity selector.

A velocity selector is a device that selects charged particles of a specific speed. It consists of perpendicular electric and magnetic fields. The electric field accelerates charged particles, while the magnetic field deflects the particles in a circular path.

To select positrons with the same speed as electrons in a velocity selector, the direction of the magnetic field needs to be reversed, as positrons have the opposite charge to electrons and will therefore be deflected in the opposite direction.

The diagram below shows the setup of a velocity selector for electrons and how it needs to be modified to select positrons with the same speed:

Velocity Selector Diagram

In the original setup for electrons, the magnetic field is directed into the page, while the electric field is directed upwards. Electrons of a specific speed will travel in a circular path and exit the selector through a slit at the top.

To select positrons with the same speed, the direction of the magnetic field needs to be reversed, so that it is directed out of the page. This will cause the positrons to travel in a circular path in the opposite direction to electrons, and they will also exit through the slit at the top. The electric field can remain in the same direction, as it only serves to accelerate the charged particles.

which of the following is a nonanthropogenic source of carbon dioxide emissions into the atmosphere?

Answers

Volcanic eruptions are a nonanthropogenic source of carbon dioxide emissions into the atmosphere.

What is volcanic eruption?

A volcanic eruption is a natural or nonanthropogenic source of carbon dioxide emissions into the atmosphere. During a volcanic eruption, carbon dioxide and other gases are released from the Earth's mantle and can contribute to the atmospheric concentration of carbon dioxide.

However, the amount of carbon dioxide emitted by volcanoes is relatively small compared to the amount emitted by human activities such as burning fossil fuels. While volcanic eruptions are a natural source of carbon dioxide emissions, the amount emitted by volcanoes is relatively small compared to the amount emitted by human activities such as burning fossil fuels.

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Complete question is: Volcanic eruptions are a nonanthropogenic source of carbon dioxide emissions into the atmosphere.

could someone help me with B?
i have the mark scheme i just don't know how they got that answer ​

Answers

Answer:

Explanation:

Distance is the total length of the path taken from point A to B (the total distance of the whole curvy train route).

Displacement is the straight-line distance from the start point to the end point.  Draw a straight line from A to B, then measure it in exact cm.  Multiply your measurement in cm by 5 to get the answer in km.

while it is important to keep the two power supplies separate when powering a dc motor it is also necessary to connect

Answers

It is important to connect the two power supplies of a DC motor in order to prevent the motor from being damaged. By connecting the two power supplies, current can flow from one to the other, allowing the motor to be properly powered.

When powering a DC motor, it is important to keep the two power supplies separate to ensure safety and avoid damaging the motor. However, it is also necessary to connect the two power supplies with a common ground.

A DC motor is an electric motor that runs on direct current (DC) electricity. It works on the principle of electromagnetic induction and is widely used in industrial and household applications for various purposes, such as driving machinery and appliances.

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A man laid on a pool lilo has a surface area of 2m² and a weight of 900N. Calculate the pressure.

Answers

The pressure exerted by the man on the lilo is 450 pascals (Pa).

The pressure is the force per unit area, so we can calculate it using the formula:

pressure = force / area

In this case, the force is the weight of the man, which is 900 N, and the area is the surface area of the lilo, which is 2 m². Therefore, we can substitute these values into the formula:

pressure = 900 N / 2 m²

Simplifying, we get:

pressure = 450 Pa

Therefore, the pressure exerted by the man on the lilo is 450 pascals (Pa).

What is pressure?

Pressure is the amount of force applied per unit area over a surface. It is defined as the force per unit area perpendicular to the surface on which the force is acting. The unit of pressure is pascal (Pa), which is equivalent to one newton per square meter (N/m²).

What is force?

Force is a physical quantity that describes the interaction between two objects that can change the state of motion or shape of an object. It is defined as an influence that causes an object to undergo acceleration, or a change in velocity, or deformation.

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Adult brains are not capable of neurogenesiss . True False

Answers

False. Adult brains are capable of neurogenesis, which is the process of generating new neurons (nerve cells) in the brain. Although it was previously believed that neurogenesis only occurred during early development, research has shown that certain regions of the brain, such as the hippocampus, continue to produce new neurons throughout adulthood. However, the rate of neurogenesis in adults is much lower than in developing brains

Answer:

False. Adult brains are capable of neurogenesis, which is the process of generating new neurons (nerve cells) in the brain. Although it was previously believed that neurogenesis only occurred during early development, research has shown that certain regions of the brain, such as the hippocampus, continue to produce new neurons throughout adulthood. However, the rate of neurogenesis in adults is much lower than in developing brains

EX :SOMEONE FATHER TODAY YOUR FATHER DOES,T KNOW ABOUT TECH OR ANY SAMRT APPS BUT HE KNOW BETTER N HIS GENRATON

A rock on a string is whirled fast enough to move in a vertical circle as shown. Gravity is acting downward.What is the direction of the rock's acceler- ation at the position shown?

Answers

At the position shown in the diagram, the rock's acceleration is pointing towards the centre of the circle. This means that the acceleration is directed downwards, in the opposite direction of gravity. The acceleration is a vector, so it can be represented as "vertical", pointing directly downwards.


At the position shown, the direction of the rock's acceleration is downwards. This is because the force acting on the rock is gravity, which is pulling the rock towards the center of the circle. Thus, the direction of the acceleration is always towards the center of the circle in vertical circles.

The motion of the rock is a combination of uniform circular motion and free fall. When the rock is at the topmost point of the circle, its velocity is zero, and it begins to fall under the influence of gravity. At this point, the acceleration of the rock is solely due to gravity and is equal to g (acceleration due to gravity).As the rock moves down the circle, the force of gravity and the tension force acting on the string combine to provide a net force acting towards the center of the circle.

This provides the centripetal acceleration that keeps the rock moving in a circle. At the bottommost point of the circle, the tension force in the string becomes zero, and the acceleration of the rock is solely due to gravity, but this time it acts in the direction of the tension force (i.e., towards the center of the circle).

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Which of the following LEAST LIKELY affects or is the result of circulation of surface water in the oceans?
A. Trade winds
B. Gyres that circulate clockwise in the Atlantic and Pacific oceans
C. Energy from the Sun
D. Coriolis force
E. Katabatic winds

Answers

D. Coriolis force is the least likely to affect or be the result of circulation of surface water in the oceans. The Coriolis force is an inertial force that affects the movement of large masses of air or water, but it does not cause the surface water in the oceans to circulate.

The other four choices, A. Trade winds, B. Gyres that circulate clockwise in the Atlantic and Pacific oceans, C. Energy from the Sun, and E. Katabatic winds, all have an effect on surface water circulation. For example, trade winds push the surface water of the ocean from east to west, gyres circulate in a clockwise direction, energy from the Sun evaporates surface water, and katabatic winds push down cooler air from the mountains to the sea.


C. Energy from the Sun is the least likely factor to affect or result from the circulation of surface water in the oceans. The circulation of surface water in the ocean is primarily caused by the combined effect of wind, Earth’s rotation, and the ocean’s topography. Therefore, the option C. Energy from the Sun least likely affects or is the result of circulation of surface water in the oceans.The other factors mentioned are known to affect the circulation of surface water in the oceans. Wind is one of the primary factors that drive the ocean currents, which is also responsible for the movement of warm and cold water from one region to another.

Wind-generated ocean currents that set water into motion by blowing on its surface, cause water to move from one region to another. The Coriolis effect results in the formation of gyres in the oceans, which are also responsible for the circulation of surface water. Katabatic winds are responsible for mixing and churning up the water. In conclusion, the ocean current is a combination of several factors that work together to move the water from one place to another.

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Constants I Periodic Table Suppose two parallel-plate capacitors have the same charge Q, but the area of capacitor 1 is A and the area of capacitor 2 is 2A

Answers

Two parallel-plate capacitors with the same charge Q but different areas (A and 2A) can be compared by looking at the capacitance. The capacitance of the second capacitor is double that of the first due to the increase in area.

Two parallel-plate capacitors with the same charge Q but different areas (A and 2A) can be compared by looking at the capacitance, which is defined as the ratio of the charge stored on the capacitor to the voltage applied across the plates. The capacitance C of a capacitor is given by the equation C=Q/V. Therefore, the capacitance of the first capacitor, C1, is C1=Q/V, and the capacitance of the second capacitor, C2, is C2=(2Q)/V. It is seen that the capacitance of the second capacitor is double that of the first. This is because the area of the second capacitor is double that of the first. Therefore, the same charge Q stored on the first capacitor is distributed over twice the area in the second capacitor, resulting in the capacitance being double. This can be mathematically expressed as C2 = 2C1. Thus, two parallel-plate capacitors with the same charge Q but different areas (A and 2A) can be compared by looking at the capacitance. The capacitance of the second capacitor is double that of the first due to the increase in area.

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Commercially available large wind turbines blade span diameters larger than 100 m and over 3 MW of electric power at peak design have generate conditions. Consider a wind turbine with a 75-m blade span subjected to 25-km/h steady winds. If the combined turbine–generator effi- ciency of the wind turbine is 32 percent, determine (a) the power generated by the turbine and (b) the horizontal force exerted by the wind on the supporting mast of the turbine. Take the density of air to be 1.25 kg/m3, and disregard frictional effects on the mast.

Answers

The horizontal force that was exerted by the wind on the mast based on the power is 67.3KN.

What is the force?

Blade Stan, d = 75m

Radius of Blade, r = 75m

wind velocity, V = 30 km/h V = 8.333 m/s

Turbine Generator efficiency or Power Co-efficient ((p) = 32% 0.32.

Flow rate across the turbine (in) = 125X8.333X X (75) 2 m

= 46017.583 kg/s

Air Exit velocity, Ve = V×√1 - Nterbine

Ve = 8.333 x √1 1- 0.32

Ve = 6.872 mls

Horizental force in x-direction (F); -

Fx = m (ve-v)

Fx = 46017-583X(6-872-8.333) = 67265.381 N

The Horizental force Extered on the Supporting mast F = -F F= 67.2654 KN

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Determine the horizontal force that was exerted by the wind on the mast base

I'd like help with this question

Answers

the given values, we get va = sqrt((350 kg * 9.81 m/s² - 0)))

Since the cable is inextensible, the distance moved by both blocks is the same.

Let's denote the distance moved by both blocks as "d". Then, the distance moved by block A is "1m + d" to the right.

Using conservation of energy, we can write:

(1/2) * ma * va² + (1/2) * mb * vb²= (ma + mb) * g * d

where ma and mb are the masses of blocks A and B, va and vb are their velocities, and g is the acceleration due to gravity.

Since the system is released from rest, va = 0, and we can solve for vb:

(1/2) * mb * vb²= (ma + mb) * g * d

vb²= 2 * (ma + mb) * g * d / mb

vb = sqrt(2 * (ma + mb) * g * d / mb)

Now, we need to find the velocity of block A after it has moved 1m + d to the right. To do this, we can use the equations of motion. Since block A is moving to the right, we take the positive x direction to be to the right. Then, we have:

ma * a = T - fa

where a is the acceleration of block A, T is the tension in the cable, and fa is the frictional force acting on block A due to the incline.

The tension in the cable is the same throughout, so we can write:

T = mb * g

The frictional force fa can be calculated using:

fa = µ * ma * g * cos(theta)

where µ is the coefficient of friction, theta is the angle of the incline, and cos(theta) = 1/sqrt(2) since the incline makes a 45 degree angle with the horizontal.

Substituting these values, we get:

ma * a = mb * g - µ * ma * g / sqrt(2)

Solving for a, we get:

a = (mb * g - µ * ma * g / sqrt(2)) / ma

Now, we can use the equations of motion again to find the final velocity of block A after it has moved 1m + d to the right. We have:

d = (1/2) * a * t²

where t is the time taken by block A to move 1m + d to the right.

Substituting the value of a, we get:

d = (1/2) * [(mb * g - µ * ma * g / sqrt(2)) / ma] * t²

Solving for t, we get:

t = sqrt(2 * d * ma / (mb * g - µ * ma * g / sqrt(2)))

Finally, we can use the equations of motion again to find the final velocity of block A. We have:

1m + d = (1/2) * a * t²

Substituting the values of a and t, we get:

1m + d = (1/2) * [(mb * g - µ * ma * g / sqrt(2)) / ma] * [2 * d * ma / (mb * g - µ * ma * g / sqrt(2))]²

Solving for the final velocity of block A, we get:

va = sqrt((mb * g - µ * ma * g / sqrt(2)) / ma * (1m + d) / 2)

Substituting the given values, we get:

va = sqrt((350 kg * 9.81 m/s² - 0

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find the acceleration find the acceleration a of the sled. express your answer in terms of some or all of the variables s , v1 , and v2 .

Answers

General, acceleration (a) can be calculated using the following formula:

a = (v2 - v1) / t

where v1 is the initial velocity, v2 is the final velocity, and t is the time interval over which the change in velocity occurs.

If you know the values of s, v1, and v2, you may be able to solve for t using the following kinematic equation:

s = v1*t + (1/2)at^2

Once you have determined the time interval (t), you can plug the values of v1, v2, and t into the first formula to calculate the acceleration (a).

What is an acceleration ?

Acceleration is the rate of change of velocity with respect to time. In other words, it is the measure of how quickly an object's velocity is changing. Acceleration can be in the direction of motion or opposite to it, depending on whether the object is speeding up or slowing down.

The standard unit of acceleration is meters per second squared (m/s^2). If an object's velocity changes by 1 meter per second (m/s) every second, its acceleration is said to be 1 m/s^2.

Accelerations can be either positive or negative. Positive acceleration occurs when an object's speed is increasing, while negative acceleration (also known as deceleration) occurs when an object's speed is decreasing.

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I’m so stuck I’ve attempted these questions so many times I really don’t know

Answers

Answer:

1st one 3N to the left to achieve equilibrium

2nd one 5N to the left to achieve equilibrium

3rd one 2N to the top to achieve equilibrium

4th one 8N to the right to achieve equilibrium

Explanation:

Use the work energy theorem to rank the final kinetic energy of a ball based on the initial kinetic energy Ki, the magnitude of a constant force F on the ball, the displacement of the ball, d and the angle, theta between the displacement of the ball and the net force on the ball. Rank from greatest kinetic energy (1) to least kinetic energy (4).

a) Ki=150J F=10N d=15m theta=90 degrees
b) Ki=300J F=200N d=1.5m theta=180 degrees
c) Ki=200J F=25N d=4m theta=0 degrees
d) Ki=450J F=15N d=30m theta=150 degrees​

Answers

Answer:

Explanation:

The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. Therefore, we can use this theorem to calculate the final kinetic energy of the ball in each case.

We know that the work done by a constant force is given by the equation W = Fd cos(theta), where F is the magnitude of the force, d is the displacement of the ball, and theta is the angle between the force and displacement vectors.

Using the work-energy theorem, we can write:

W = ΔK = Kf - Ki

where ΔK is the change in kinetic energy, Kf is the final kinetic energy, and Ki is the initial kinetic energy.

We can rearrange this equation to solve for Kf:

Kf = Ki + W = Ki + Fd cos(theta)

a) Kf = 150 J + (10 N)(15 m)cos(90°) = 150 J

b) Kf = 300 J + (200 N)(1.5 m)cos(180°) = 0 J

c) Kf = 200 J + (25 N)(4 m)cos(0°) = 300 J

d) Kf = 450 J + (15 N)(30 m)cos(150°) = 112.5 J

Ranking from greatest to least final kinetic energy:

c) Ki=200J F=25N d=4m theta=0 degrees

a) Ki=150J F=10N d=15m theta=90 degrees

d) Ki=450J F=15N d=30m theta=150 degrees​

b) Ki=300J F=200N d=1.5m theta=180 degrees

Where will the temperature most likely be the highest?
A. in a forest
B. in an open field
C. in the shade of a tree
D. in the shadow of a building

Answers

Option A because it’s the hottest out of all of them

Answer:

it's b

Explanation:

no shade, direct sunlight

Determine the linear velocity of blood in the aorta with a radis of 1.5 cm, if the duration of systole is 0.25 s, the stroke volume is 60 ml.

Answers

Answer:

The linear velocity of blood in the aorta can be calculated using the equation:

v = Q / A

where v is the linear velocity, Q is the volume flow rate, and A is the cross-sectional area of the vessel.

The volume flow rate Q can be calculated using the equation:

Q = SV / t

where SV is the stroke volume and t is the duration of systole.

The cross-sectional area of the aorta can be calculated using the equation:

A = πr^2

where r is the radius of the aorta.

Given that the radius of the aorta is 1.5 cm, the stroke volume is 60 ml, and the duration of systole is 0.25 s, we can calculate the volume flow rate Q:

Q = SV / t = 60 ml / 0.25 s = 240 ml/s

Converting the units of Q to cm^3/s:

Q = 240 ml/s × 1 cm^3/1 ml = 240 cm^3/s

We can then calculate the cross-sectional area of the aorta:

A = πr^2 = π × (1.5 cm)^2 = 7.07 cm^2

Finally, we can calculate the linear velocity of blood in the aorta:

v = Q / A = 240 cm^3/s / 7.07 cm^2 = 33.9 cm/s

Therefore, the linear velocity of blood in the aorta is 33.9 cm/s.

A high-wire artist missteps and falls 9.2 m to the ground. What is her velocity upon landing (just before she strikes the ground)?

Answers

Answer:

Explanation:

We can use the kinematic equation to find the velocity of the high-wire artist just before she strikes the ground:

vf^2 = vi^2 + 2ad

where vf is the final velocity (the velocity just before she strikes the ground), vi is the initial velocity (which we can assume is 0), a is the acceleration due to gravity (which is approximately 9.81 m/s^2), and d is the distance fallen (which is 9.2 m).

Plugging in the values, we get:

vf^2 = 0 + 2(9.81 m/s^2)(9.2 m)

Simplifying:

vf^2 = 180.24 m^2/s^2

Taking the square root of both sides:

vf = 13.43 m/s

Therefore, the velocity of the high-wire artist just before she strikes the ground is 13.43 m/s.

Answer:

Below

Explanation:

Explanation:

Her POTENTIAL energy (mgh)

      will be converted to KINETIC energy (1/2 mv^2)

so

mgh = 1/2 mv^2     divide both sides of the equation by m

gh = 1/2 v^2         solve for 'v'

v = sqrt ( 2 g h)   = sqrt ( 2 * 9.81 * 9.2 ) = 13.4 m/s

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