a car sitting at a red light begins to accelerate at 2 m/s^2 when the light turns green. it continues with this acceleration until it reaches a speed of 20m/s. it then travels at this speed for another few minutes. how far does the car travel in the first 30 seconds after the light changes to green.

Answers

Answer 1

The total distance covered by car which accelerate at 2 m/s² in first 30 sec after the light changes to green is found to be 500m.

How does velocity impact acceleration?

A travelling item accelerates when its velocity changes. Take into consideration that velocity is a calculation that accounts for both direction and speed. This means that a change in velocity might be either a change in the speed or a change in the direction of motion of an object.

What changes in acceleration occur throughout time?

acceleration: the rate at which the speed and direction of a moving body vary over time. A point or object heading straight ahead is accelerated whenever it accelerates or decelerates.

[tex]a= 2 m/s^2; v_f = 20m/svi=0 since it starts from restvf = vi + at;20 = 0 + 2 \times tt = 10secs= vi\times t+ 1/2 a t^2s = 1/2 x 2 x 10^2 = 100m[/tex]

Total time the car traveled = 30 sec

First 10 sec, the distance traveled is 100m

For next 20 sec, the distance traveled = v x t

                        = 20 x 20 = 400m

The total distance covered in first 30 sec is 400+100= 500m

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Related Questions

sequence the events that occur when an electroscope is used to detect a charge on an object. write numbers from 1 to 4 to the left of the events to show the correct sequence.

Answers

Electrons are moved into or out from the leaves by an electroscope in response to the existence of a charge. The charged object's positive or negative charge cannot be determined by the electroscope.

What takes place during the electroscope experiment?

Electrons went back through copper to your palm when you contacted the electroscope, then through you body to the earth. The metals inside the electroscope lost its charge as a result of the ground dispersing the energy away from you. They hang lifeless in the jar without any charge and no longer repel.

How is an electroscope tested?

Create some electrical currents by rubbing the Polystyrene on a piece of wool to test your electroscope. With the wool, repeatedly rub the Styrofoam. Hold your electrically charged Styrofoam quickly in close proximity to the metal wire's coiled portion on your electroscope. Don't touch the wire, please!

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what is the magnitude of the electric field, in newtons per coulomb, at point p, in the center of the semicircle?

Answers

The magnitude of the electric field at a point can be calculated using the equation: [tex]E = k *\frac{Q}{ r^2}[/tex].

where E is the electric field, k is Coulomb's constant (8.99 x 10^9 N m^2/C^2), Q is the charge generating the field, and r is the distance from the point to the source of the field.

Without more information on the charge distribution, it is not possible to calculate the electric field at point P in the center of the semicircle. When Q is the charge producing the field, k is Coulomb's constant (8.99 x 109 N m2/C2), and r is the distance between the point and the source of the field.

The magnitude of the electric field at a point can be calculated using the equation: [tex]E = k *\frac{Q}{ r^2}[/tex]

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a rock is thrown downward from a cliff with an initial speed of 6.50 m/s. the rock takes 2.65 seconds to hit the ground. how high is the cliff, in meters?

Answers

The height of the cliff is 30.2 m.

What is the height of the cliff?

We have to note that in this case we would have to use the equations of motion so as to obtain the height of the cliff as we know.

We can now write that we have that;

h = ut + 1/2gt^2

h = height of the cliff

u = initial speed

g = acceleration due to gravity

t = time taken

We would then have that;

h = 6.5 * 2.65 + (0.5 * 9.8 * 2.65)

h = 30.2 m

The cliff is found that it would have a height of 30.2 m as we can see above

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the electric potential of a charge distribution is given by v(x, y) = 2xy - x2 - y. at which point is the electric field equal to zero?

Answers

The electric field is equal to zero at the point [tex](x, y) = (1/2, 1/2)[/tex].

What is electric potential?

The electric potential, is a scalar field that represents the potential energy per unit charge at a given point in space. It is a measure of the amount of work required to move a unit positive charge from a reference point (typically taken as infinity) to a particular point in space. The electric potential is often used to describe the behavior of electric fields in a region and to calculate the force experienced by charges in that region.

Calculation  to find the points where the electric field is equal to zero.

The electric field at a point (x, y) is given by the gradient of the electric potential, which is a vector pointing in the direction of the maximum rate of increase of the potential.

The electric potential[tex]v(x, y) = 2xy - x^2 - y[/tex] can be written as:

[tex]v(x, y) = 2x y - x^2 - y[/tex]

So the gradient of the electric potential is:

[tex]∇v(x, y) = < ∂v/∂x, ∂v/∂y > = < 2y - 2x, 2x - 1 >[/tex]

The electric field is equal to zero at the points where the gradient is equal to zero. So, each component of the gradient has to be set equal to zero and solve  [tex]x[/tex]and[tex]y[/tex]:

[tex]2y - 2x = 0 = > y = x[/tex]

[tex]2x - 1 = 0 = > x = 1/2[/tex]

Therefore, the electric field is equal to zero at the point[tex](x, y) = (1/2, 1/2)[/tex].

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a thin lens of focal length 42 cm forms a real image 5.2 times as high as the object. how far apart are the object and image?

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The relationship between the object distance (d_o), the image distance (d_i), and the focal length (f) of a thin lens is given by the lens equation:

1/d_o + 1/d_i = 1/f

We know that the focal length of the lens is 42 cm, so the lens equation becomes:

1/d_o + 1/d_i = 1/42

Let's call the height of the object "h_o".

We also know that the image is 5.2 times as high as the object,

so the height of the image (h_i) is given by:

h_i = 5.2 * h_o

Since the image is real,

we also know that the image distance is positive, so d_i is positive.

We can now use the magnification equation to find the ratio of the image height to the object height:

magnification (m) = h_i/h_o

= 5.2

Since the magnification is equal to the ratio of the image height to the object height,

we can write:

h_i/h_o = d_i/d_o

Now we can substitute the expression for h_i/h_o into the lens equation:

1/d_o + 1/d_i = 1/42

d_i/d_o = 5.2

1/d_o + 1/5.2d_o = 1/42

Solving for d_o, we find:

d_o = 21.6 cm

And since d_i/d_o = 5.2, we can find d_i:

d_i = 5.2 * d_o = 5.2 * 21.6

= 112.32 cm

So the object is 21.6 cm away from the lens, and

the image is 112.32 cm away from the lens.

The distance between the object and the image is

112.32 cm - 21.6 cm

= 90.72 cm.

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picture wind blowing steadily at 7 m/s. determine the mechanical energy of air per unit mass and power generation potential of a wind turbine with 80 m diameter blades. also, if the overall efficiency of the turbine is 30%, find the actual electric power generated. take air density as 1.25 kg/m3.

Answers

Actual electric power generated of turbine is [tex]306.25 kW \times 0.3 = 91.875 kW[/tex]

How does a Turbine work?

A turbine is a mechanical device that converts energy from a fluid (such as air or water) into rotational energy, which can be used to generate electricity. It works on a basic principle that the energy of a moving fluid is used to turn a rotor.

What are different types of Turbine?

There are various types of turbines, including steam turbines, gas turbines, and wind turbines. For example, if we talk about wind turbine, the blades of the rotor are shaped like airfoils and are oriented so that they face the wind.

Firstly, we will find Mechanical energy = [tex]0.5 \times velocity^{2}[/tex]

= [tex]0.5 \times (7 m/s)^{2} = 24.5 J/kg[/tex]

To determine the power generation potential of the wind turbine:

[tex]A = \pi \times (diameter / 2)^2[/tex]

[tex]= \pi * (80 m / 2)^2 = 10,000 m^2[/tex]

Power generation potential = Mechanical energy × air density × swept

area = [tex]24.5 J/kg \times 1.25 kg/m^3 \times 10,000 m^2[/tex]

= 306,250 W or 306.25 kW

Now, Actual power = Power generation potential × efficiency

=[tex]306.25 kW \times 0.3 = 91.875 kW[/tex]

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Why do astronomers use light years?

Answers

Astronomers use light years because the distances between objects in space are incredibly large, often measured in millions or billions of kilometres. Light travels at a speed of 299,792 kilometres per second, it is a convenient unit for expressing astronomical distances.

How can one define one light year?

One light year is defined as the distance that light travels in one year in a vacuum, which is approximately 9.46 trillion kilometers. Using light years to express distances in space allows astronomers to compare and understand the relative distances between different objects.

Which is the nearest star to the sun?

The nearest star to our Sun, Proxima Centauri, is approximately 4.24 light years away, while the closest galaxy, the Large Magellanic Cloud, is about 160,000 light years away.

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the table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 1 2 3 4 5 6 s (feet) 0 4.9 10.6 23.1 50.2 109.4 238.3 (a) find the average velocity (in ft/s) for each time period.

Answers

The average velocity for each time period is as follows: t = 1 sec: 4.9 ft/s, t = 2 sec: 5.3 ft/s, t = 3 sec: 7.7 ft/s, t = 4 sec: 12.5 ft/s, t = 5 sec: 21.9 ft/s, t = 6 sec: 39.7 ft/s

To find the average velocity for each time period, we need to calculate the change in position (displacement) and divide it by the change in time. The formula for average velocity is:

v = Δs / Δt

Where Δs is the change in position (displacement) and Δt is the change in time.

Here's the calculation for each time period:

t = 1 sec: Δs = 4.9 ft, Δt = 1 sec, v = Δs / Δt = 4.9 ft/s

t = 2 sec: Δs = 10.6 ft, Δt = 1 sec, v = Δs / Δt = 5.3 ft/s

t = 3 sec: Δs = 23.1 ft, Δt = 1 sec, v = Δs / Δt = 7.7 ft/s

t = 4 sec: Δs = 50.2 ft, Δt = 1 sec, v = Δs / Δt = 12.5 ft/s

t = 5 sec: Δs = 109.4 ft, Δt = 1 sec, v = Δs / Δt = 21.9 ft/s

t = 6 sec: Δs = 238.3 ft, Δt = 1 sec, v = Δs / Δt = 39.7 ft/s

So the average velocity for each time period is as follows:

t = 1 sec: 4.9 ft/s

t = 2 sec: 5.3 ft/s

t = 3 sec: 7.7 ft/s

t = 4 sec: 12.5 ft/s

t = 5 sec: 21.9 ft/s

t = 6 sec: 39.7 ft/s

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A roller coaster climbs up a hill at 4 m/s and then zips down the hill at 30 m/s what is the momentum of the roller coaster a. zero throughout the ride
b. the same throughout the ride
c. the greater down the hill than up the hill
d. greater up the hill than down the hill​

Answers

Answer:

Greater down the hill than up the hill.

Explanation:

if a mass undergoes a temperature change without the input or removal of heat from the surrounding environment, the process is known as

Answers

By providing shade and evapotranspiration cooling, planting trees and other plants lower surface and air temperatures. Directly shady trees and other greenery can reduce the amount of air conditioning in your home.

When heat is removed, what is it known as?

Exothermic reactions are those in which heat is removed from a substance. As the heat decreases, molecules' speeds also do so. This causes them to move more slowly, which changes their phase.

What impact does temperature have on mass?

Mass is just the quantity of substance that exists. As a result, modifying the temperature has had no direct effect on mass because there is always the same quantity of matter present. Mass every unit volume is the definition of density for a substance.

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Water is liquid at room temperature due to weak hydrogen bonds.
ATrue
BFalse

Answers

It is accurate to say that water is a liquid at room temperatures because of the weak hydrogen bonds.

What is hydrogen used for?

Fuel cells may create power, power, and heat using hydrogen. The industries where hydrogen is currently most widely employed are fertilizer manufacturing and petroleum refining, with growing markets of utilities and transportation.

Can hydrogen be used as fuel?

The fuel for combustion engines can also be hydrogen. These, however, are less effective than FCEVs and emit tailpipe pollution. Try reading up on fuel cells. A gallon of gasoline has about the same amount of energy as 2.2 gbp (1 kilogram) in hydrogen gas.

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What volume of water has the same mass as 8.0 m3 of ethyl alcohol?b. If this volume of water is in a cubic tank, what is the pressure at the bottom?
a) Volume is 6.312 m3
b) Pressure is 18 kPa

Answers

The volume of the water is  6.312  m³.

The pressure at the bottom is 18 kPa.

What is density?

The substance's mass per unit of volume is known as its density (volumetric mass density or specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is ρ   (the lower case Greek letter rho).

The volume of the water is = {(8.0)/density of ethyl alcohol} × density of water

= 6.312  m³

If this volume of water is in a cubic tank, the pressure at the bottom =

∛(6.312)  × 9.8 × 1000 Pa

= 18 kPa.

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calculate the energy (in j) stored in a fully charged battery if the phone requires charging after 8.03 hours of use.

Answers

58,741.1 joules.the energy (in j) stored in a fully charged battery if the phone requires charging after 8.03 hours of use.

The energy stored in the battery is equal to 8.03 hour x battery voltage x battery capacity.

The total energy (in joules) is equal to 8.03 x battery voltage x battery capacity.

if the battery voltage is 3.7V

the battery capacity is 2100mAh,

the energy stored in the battery is

8.03 x 3.7V x 2100mAh

= 58,741.1 joules.

the energy (in j) stored in a fully charged battery if the phone requires charging after 8.03 hours of use  is  58,741.1

To calculate the energy (in joules) stored in a fully charged battery, you need to know the battery's capacity and voltage. The capacity of the battery is the amount of energy (in joules) it can store. The voltage is the amount of energy (in volts) that the battery is able to produce.

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which moon phases are associated with the highest tides

Answers

As stated in the preceding statement The highest tides occur during new moon nor low moon phases.

How will the moon end?

The Moon will finish moving away from Earth at present rate of separation in around 15 billion years, according to calculations of the development of the Earth/Moon system. In around 6 to 700 million years, our Sun is predicted to enter his Red Giant phase.

Were we able to endure without the Moon?

The stability of the climate is maintained by the moon's gravitational pull, which reduces Earth's tremor. A blessing for life, that. Without it, the climate may change dramatically over millennia, with certain regions being extremely hot before going through protracted ice ages.

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a mass of 10-g of oxygen fills a weighted piston/cylinder device at 20 kpa and 100oc. the device is now cooled until the temperature is 0oc. determine the change in volume of the device during this cooling

Answers

The change in volume of the device during this cooling is calculated to be -0.013 m^3.

What is pressure?

Force that is applied perpendicular to surface of any object per unit area over which force is distributed is called as pressure .

Pressure remain constant for weighted piston cylinder

So, P1 =P2

We know gas constant ,R = 259.81 j/Kg- K = 0.2598 kJ/kg K

Given,  m1 =m2 = 0.01 kg; P1 = 20kPa; T1 = 100 degree C = 373 K

and T2 = 0 degree C= 273 K

As we know, P1V1 =m RT1

So, V1= m RT1/P1

= 0.01 * 2.598 *373/20

V1 = 0.0484 m3

As, P2V2 =m RT2

V2= m RT2/ P2

V2 = 0.01 * 2.598 *273/20

So, V2 = 0.0.3546 m3

Now, ΔV = V2 - V1

= 0.0354 - 0.0484

= -0.013 m3

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16. how does the velocity of object 2 compare to object 1? what can you say about the direction they are traveling relative to one another?

Answers

The velocity of object 2 can be compared to object 1 by calculating the difference in their velocities.

The direction of their velocities can be determined by looking at the direction of their individual velocities relative to a fixed point. Since the velocities of both objects are in the same direction, you can say that both objects are travelling in the same direction relative to one another.

Speed is a measurement of how quickly an object changes its position. It is measured as the distance an object travels divided by the amount of time it takes to travel that distance.

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calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.20 m long helicopter blade that rotates at 205 rev/min

Answers

The magnitude of the centripetal acceleration at the tip of a 3.20 m long helicopter blade that rotates at 205 rev/min can be calculated using the formula a = (2πr)²/T, where r is the radius of the blade (in this case 3.20 m), and T is the period of rotation (in this case 1/205 seconds).

This gives a value for an of 37.22 m/s2.

It is important to note that the centripetal acceleration of an object can be affected by various external forces, such as friction and air resistance. These forces can cause the magnitude of the centripetal acceleration to be different from the value calculated using the above formula.

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the ability to generate force at a fast speed is called?

Answers

The ability to generate force at a fast speed is called power. Power is the rate at which work is done and is calculated as the work done divided by the time taken to perform that work.

How can you calculate power?

Power can be calculated using: Power = Work / Time

where "Work" is the amount of energy transferred and "Time" is the time taken for the work to be done. The unit of power is typically joules per second, which is also known as a watt (W).

What does a high level of power mean?

A high level of power means that a high force can be generated in a short amount of time, leading to rapid acceleration and high-speed movement. This ability is important in many physical activities, such as sports, and is often a focus of training and improvement.

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Please help me out!
Match potential answers to the relating images
1. All elastic potential
2. Elastic + gravitational potential
3. All kinetic potential

Answers

If we consider the rank of image from left to right:

image 1: all kinetic energy.

image 2:   Elastic + gravitational potential

image 3: All elastic potential

What is potential energy?

The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.

Potential energy can take many different forms. Some examples are an object's gravitational potential energy, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field.

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Why is the microscopy slide shining a blue light? a) Phalloidin is excited by blue light analogous to DAPI b) The blue light has a longer wavelength than the green light; therefore, it excites the fluorophore c) The high energy blue light initiates the crosslinking of actin and phalloidin d) The green fluorescent dye attached to phalloidin is excited by blue light and emits green light

Answers

Phalloidin contains a green fluorescent dye that is stimulated by blue light and produces green light.

What is revealed by phalloidin staining?

It is frequently employed in imaging applications to specifically mark F-actin in fixed cells, permeabilized cells, and cell-free investigations. Phalloidin is a bicyclic peptide that is a member of a family of poisons derived from the dangerous Amanita phalloides "death cap" mushroom.

What is the phalloidin's mode of action?

The discovery of actin nuclei and short polymers in populations of G-actin treated with phalloidin without the addition of KCl further supports this effect of phalloidin. We, therefore, conclude that phalloidin regulates actin polymerization by stabilizing nuclei and polymers as they develop.

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What can you infer about the Maastrichtian Age from its name?

Answers

The first research on these rocks took location near to Maastricht, Netherlands.

Whats is a rock?

A rock is a dense mass of granules that have grown or been cemented together over time. There are big rocks and little rocks. Pebbles are little rocks. One or more metals can be found in every rock. According to how they were formed, rocks are categorized by geologists (those who study minerals and minerals).

What are the 3 types of rocks?

When molten, heated material cools and solidifies, extrusive, and volcanic, igneous rocks are created. Sedimentary, igneous, or metamorphic rocks are the three main categories of rocks. Each of these rocks is the result of physical processes that are a part of the rock cycle, including such melting, cooling, erosion, compacting, or deforming.

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assuming all the values given are exact, what is emmy's velocity at a time of 3.23 s ? enter your answer to at least three significant digits.

Answers

Velocity of Emmy at time of 3.49 s is calculated to be as -8.47 m/s.

What is velocity?

Velocity defines the direction of movement of the body or any object.

Given, initial velocity of Emmy, u = 2 m/s

acceleration at time , 3.0 s is -3 m/s²

acceleration at time, 4.0 s is -3 m/s²

Acceleration at time of 3.49 s must be -3 m/s², as the acceleration is constant from 3.0 s to 4.0 s.

Velocity of Emmy at time 3.49 s can be calculated as ;

v= u +at

a is the acceleration of Emmy at time-- 3.49 s

u is initial velocity of Emmy

v is final velocity of Emmy at time -- 3.49s

v= 2 + ( -3 * 3.49)

v = -8.47 m/s

Hence, velocity of Emmy at time , 3.49 is -8.47 m/s

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Note: The question given on the portal is incomplete. Here is the complete question,

Question: Emmy is standing on a moving sidewalk that moves at +2 m/s. Suddenly, she realizes she might miss her flight, so begins to speed up, but then she hears over the PA system that her flight is delayed. Emily's acceleration during the 5 s time period in which all of the events occur is shown in the acceleration versus time graph. In the velocity versus time graph, construct a plot of Emmy's velocity over this same time period. Assuming all the values given are exact, what is Emmy's velocity at a time of 3.49s? Enter your answer to at least three significant digits.

which of the following is not true of sunspots? which of the following is not true of sunspots? sunspots are surface disturbances caused by magnetic storms. sunspots can be up to 12 times larger than earth. sunspots can produce flares and prominences. more sunspots indicate increased solar radiation. sunspots are brighter than the rest of the sun's surface.

Answers

The statement "Sunspots are brighter than the rest of the sun's surface" is false.

What is magnet?

Magnetism is a physical quality mediated by a magnetic field that refers to the ability to create attracted and repulsive occurrences in other substances. Magnetism is the force that magnets exert when they attract or repel one another. The movement of electric charges causes magnetism. Every material is composed of microscopic components known as atoms. Each atom contains electrons, which are charged particles. Magnetism is caused by attraction when two items are brought together or repulsion when two objects are moved apart. A magnet is an item with magnetic qualities. A magnet, for example, may attract another thing.

Here,

Sunspots are really darker than the surrounding photosphere, and thus appear as black spots on the sun's surface. This is because large magnetic fields are concentrated in these areas, inhibiting convection and cooling the surface.

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a certain radar uses microwave radiation with a wavelength of 2.33 mm. what is the frequency of this electromagnetic radiation (s-1 )?

Answers

The frequency (in s⁻¹) of the electromagnetic radiation having a wavelength of 2.33 mm is 1.29×10¹¹ s⁻¹

How do I determine the frequency of the electromagnetic radiation?

When the wavelength of a radiation is given, we can obtain the frequency using the following formula:

Velocity (v) = wavelength (λ) × frequency (f)

The following data were obtained from the question

Wavelength (λ) = 2.33 mm = 2.33 / 1000 = 2.33×10⁻³ m Speed of electromagnetic wave (v) = 3×10⁸ m/sFrequency of electromagnetic radiation (f) =?

Thus, the frequency of the electromagnetic radiation can be obtained as follow:

Velocity (v) = wavelength (λ) × frequency (f)

3×10⁸ = 2.33×10⁻³ × frequency

Divide both sides by 2.33×10⁻³

Frequency = 3×10⁸ / 2.33×10⁻³

Frequency = 1.29×10¹¹ s⁻¹

Thus, we can conclude, the frequency is 1.29×10¹¹ s⁻¹

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imani is in a specialty clinic, sitting in a chair. she is about to receive a treatment that scientists believe will produce less side effects by targeting specific brain areas using short magnetic pulses from a coil held next to her head. anesthesia will also be unnecessary, further reducing negative side effects. what treatment will imani be receiving?

Answers

Imani is likely to be receiving Transcranial Magnetic Stimulation (TMS) treatment.

What is magnet?

Magnetism is a physical quality mediated by a magnetic field that refers to the ability to create attracted and repulsive occurrences in other substances. Diamagnetic materials are those that magnetize freely when put in a magnetic field. However, the magnetization is oriented in the opposite direction as the magnetic field. These materials' magnetism is referred to as diamagnetism. Magnetism is a component of the broader phenomenon of electromagnetic. The most well-known effects occur in ferromagnetic materials, which are highly attracted by magnetic fields and may be magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.

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a commuter backs her car out of her garage with an acceleration of 1.40 m/s2. she accelerates until she is moving at 2.00 m/s. if she then brakes to a stop in 0.800s, what is the magnitude of that acceleration, in m/s2? (give your answer as just a number)

Answers

It takes her 1.43 s to reach a speed of 2.00 m/s. Therefore, the magnitude of the deceleration of the car is -2.5 m/s^2

Let's call the magnitude of the deceleration a. Then, the final velocity v_f of the car after decelerating for t = 0.800s can be calculated using the equation:

v_f = v_i + a * t

where v_i = 2.00 m/s is the initial velocity of the car. Since the car comes to a stop, v_f = 0.

So, we can solve for a:

0 = 2.00 m/s + a * 0.800s

a = -2.00 m/s / 0.800s = -2.5 m/s^2

Deceleration refers to the slowing down of an object in motion. This can occur due to various reasons such as friction, air resistance, or the application of a force that opposes the direction of motion. Deceleration is expressed as a negative acceleration, as it is opposite in direction to acceleration, which is the rate of change of velocity. The formula for deceleration is expressed as a=-(v-u)/t, where v is the final velocity, u is the initial velocity, and t is the time taken for the deceleration to occur.

In physics, deceleration is a crucial concept that is used to study various aspects of motion. For instance, in automobile engineering, deceleration is used to calculate the braking distance of a vehicle, which is the distance required to bring a vehicle to a stop. This information is crucial in designing safe and efficient vehicles. Deceleration is also important in sports and biomechanics where it is used to study the motion of athletes and the effects of impact on the body.

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the all-or-nothing principle maintains that once the electrical impulse reaches a _____, the impulse will fire.

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Threshold is your answer

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a girl whose weight is 200 n hangs from a bar supported by two strands of rope. what is the tension in each strand?

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The tension in the rope is 490 N.

The force balancing principle can be used to determine each strand's tension. The girl must be subject to zero forces overall because she is hanging vertically and not moving at all. This indicates that the tension in the ropes acting upward balances the force of gravity acting downward.

Let's refer to each rope's tension as T. In that case, the force balance equation would look like this:

T + T = m * g

where g is the acceleration caused by gravity (9.8 m/s2) and m is the girl's mass (200 N).

2T = m * g 2T = 200 N * 9.8 m/s2 2T = 980 N / 2T = 490 N 2T = m * g

Thus, there is 490 N of strain in each strand.

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a baseball is thrown vertically into the air. the magnitude of the acceleration of the ball at its highest point is

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The magnitude of the acceleration of a baseball thrown vertically into the air at its highest point is 9.8 m/s^2.

This is due to the fact that gravity is the only force acting on the baseball at its highest position. The amount of this force, which has a downward direction, is equal to the baseball's mass times the gravitational acceleration (g = 9.8 m/s2). The magnitude of the net force exerted on the baseball is equal to its weight, which is determined by multiplying its mass by the gravitational acceleration. As a result, the acceleration at the highest point is 9.8 m/s2, which is the same as the acceleration caused by gravity.

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if we could observe background stars in daylight, how would the sun appear to move against this background because of our motion on an orbiting earth?

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Star parallax is the apparent shift in the position of a distant star as seen from two different locations (the Earth's surface) due to the Earth's orbit around the Sun.

If we could observe background stars during the day, the Sun would appear to remain fixed in one position while the background stars would seem to move in circular paths around it.

The amount of apparent shift depends on the distance of the star from the Earth and the position of the Earth in its orbit.

This effect can be imagined by holding your thumb up at arm's length and alternately closing and opening each eye. Your thumb appears to shift against the background because of the different perspective each eye provides.

Similarly, the apparent shift of the background stars against the Sun is caused by the difference in perspective of the Earth at two points in its orbit.

Star parallax is a key principle used in astronomy to measure the distances to nearby stars, as it provides a direct method to determine their distances.

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