A junction diode is operated in a circuit in which it is supplied with a constant current. What is the effect on the forward voltage of the diode if an identical diode is connected in parallel?

Answers

Answer 1

Answer:

The forward voltage is decreased by 17.31 MV if an identical diode is connected in parallel and the junction diode is operated in a circuit in which it is supplied with a constant current.

Explanation:

There are two instances to consider in this question;

Instance 1: when a single diode is supplied with a constant current II as shown below in (a). We assume that I1 = I which generates a forward voltage V1 across this diode.

Instance 2: when an identical diode is connected in parallel with the previous diode as shown below in (b). In this case the current flowing through each of them is I2 = I/2 and this current generates a forward voltage V2 across each of the two diodes.

V2 - V1 = 2.303 Vt log (I2/I1)

V2 = V1 + 2.303 Vt log (I2/I1)

V2 = V1 + 2.303 * 25 MV * log (I/2/I)

V2 = V1 + 2.303 *25 MV * log (1/2)

V2 = V1 -17.31 MV

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Related Questions

What type of line is used to indicate that a particular surface or surface area requires some additional or special treatment or consideration?'

Answers

The type of line is used to indicate that a particular surface or surface area is Section lines. Section lines is used to indicate that a particular surface or surface area.

What is surface area?

A solid object's surface area is a measurement of the total area that the surface of the object takes up. The definition of arc length for one-dimensional curves and the definition of surface area for polyhedral (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces. A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere. This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

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a car’s bumper is designed to withstand a 3.00–km/h (0.833–m/s) collision with an immovable object without damage to the body of the car. the bumper cushions the shock by absorbing the force over a distance. calculate the magnitude of the average force on a bumper that collapses 0.200 m while bringing a 1050–kg car to rest from an initial speed of 0.833 m/s.

Answers

The average force on the bumper is 1821.455 Newtons.

Assuming there is no friction from the ground on the car that leads us to think the only restrictive force that acts on the car is the force on the bumper, we can think of the energy conversion during the collision.The car's kinetic energy just before it undergoes the collision is expended against the work done on the car through the bumper by the force that acts upon the bumper that takes the car to rest eventually.The kinetic energy the car had can be calculated as follows,

                     [tex]\begin{aligned}\\\text{kinetic energy} &= \small \frac{1}{2}mv^2\\\\&=\small \frac{1050\,kg\times (0.833\,m/s)^2}{2}\\\\&=\small 364.291\,kg\,m^2/s^2\end{aligned}[/tex]

Note that the answer is kept in 3 decimals.The work done on the car by the force on it is as follows,

                     [tex]\begin{aligned}\\\text{work on the car} &= \small Fs\\\\&=\small F\times 0.200\,m\\\\&=\small 0.200F\, m\end{aligned}[/tex]

These 2 quantities are equal as per the explanation and therefore,

                               [tex]\begin{aligned}\\\small 0.200F \,m &=\small 364.291\,kg\,m^2/s^2\\\\\small F &=\small 1821.455\, N\end{aligned}[/tex]

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How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?

Answers

Time taken by the woman if she walks in the same direction the sidewalk is moving is 13 seconds and for the opposite direction, it is 90 seconds.

What is velocity?

The ratio of the object's travel distance over a specific period of time is known as its velocity. The magnitude and direction are both necessary for the velocity because it is a vector quantity.

Vw=Velocity of sidewalk = 1.2 m/s

Vs=Velocity of woman = 1.6 m/s

Distance to travel = 36 m

Time = Distance / Speed

If the woman goes in the same direction as the sidewalk, it will take her 13 seconds.

S = ( Vw + Vs ) = t

t = [ 36 / ( 1.6 + 1.2 ) ]

t = 12.857 or 13 seconds

If the woman goes against the flow of the sidewalk, it will take her 90 seconds.

S = ( Vw + Vs ) = t

t = [ 36 / ( 1.6 - 1.2 ) ]

t = 90 seconds

Hence, the time for the same direction is 13 seconds, and for the opposite direction 90 seconds.

The complete question is given below:-

A "moving sidewalk" in an airport terminal building moves at a speed of 1.2 m/s and is of the length of 36.0 m. A woman steps on at one end and walks at a speed of 1.6 m/s relatives to the moving sidewalk. A. How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?

B. How much time does she require to walk from one end to the other if she walks opposite the direction the sidewalk is moving? Express your answer using two significant figures.

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What is the field of view? that is, what width on the microscope stage, in mm , fills the sensor?

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The largest area that can be seen through a microscope eyepiece or a scientific camera is known as the field of vision (FOV) of a microscope, and it is typically expressed as a diameter measurement.

What is field of vision?

The size of the visible environment at any particular time is known as the field of vision (FOV). It is a solid angle through which a detector is sensitive to electromagnetic radiation in the case of optical instruments or sensors.

The term "field of view" is normally only used in the context of human and primate vision to refer to a restriction of what is visible by external apparatus, such as when wearing spectacles. The definition allows for eye movements, but when interpreted in this way, they do not alter the field of vision.

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A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?

Answers

The tuning fork fallen 3.52m away, using doppler effect formula.

The Doppler effect, also known as the Doppler shift, is a term used to explain changes in frequency caused by moving sources of sound or light with regard to an observer. As the source gets closer to the observer, the waves it is emitting become compressed and have a greater frequency.

The mathematical notation of  doppler effect is as follows:

[tex]f_{0}= \frac{v+v_{0} }{v+v_{s} } f_{s}[/tex]

Plugging in the values we get:

[tex]\frac{400}{440} = \frac{345}{345+v_{fork} }[/tex]

400 (345+[tex]v_{fork}[/tex]) = 440(345)

[tex]v_{fork}[/tex] = 34.5m/[tex]s^{2}[/tex]

For distance,

[tex]\frac{v_{fork} *2}{19.6}[/tex] = [tex]\frac{34.5*2}{19.6}[/tex]

distance = 3.52meters.

Therefore, the tuning fork fallen 3.52m away.

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If you approach a light beacon while traveling at one half the speed of light (0.5c) you woll measure the speed of light from the beacon to be:__________

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If you approach a light beacon while traveling at one half the speed of light (0.5c) you will measure the speed of light from the beacon to be 0.5 c.

Anti-collision lights, sometimes referred to as beacon lights or strobe lights, are a series of lights that must be installed on every aircraft in order to increase visibility to other aircraft and prevent collisions by alerting other pilots. Light-emitting diodes have lately replaced the incandescent bulbs that were previously used.

Beacon lights are most frequently made of red, amber or yellow, blue, green, and white. Red is used to convey stern warnings about hazards or danger and is most frequently seen on vehicles operated by law enforcement or fire departments.

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I am riding my bike at 25 m/s, I start to slow down at a rate of -4 m/s2. I slow down for 5 seconds... what is my final velocity?

Answers

The final speed of the bike is 5 m/s.

What is velocity?

Speed is  measured as the ratio of distance to the time in which the distance was covered.

To calculate the final velocity, we use the formula below.

Formula:

v = u+at................ Equation 1

Where:

v = Final velocityu = Initial velocitya = Accelerationt = Time.

From the question,

Given:

u = 25 m/sa = -4 m/s²t = 5 seconds

Substitute these values into equation 1

v = 25+(-4×5)v = 25-20v = 5 m/s

Hence, the final speed of the bike is 5 m/s.

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The potential difference is changed to 0.30V.
The current in the lamp is now 0.13 A.
The lamp is switched on for 35 s.
Calculate the energy that is transferred in this time.
Select an equation from the list of equations at the end of this paper.

Answers

The energy that is transferred in this time is E = 1.365 J.

Equation :

To calculate Charge using formula,

Q = I x t

Q = 0.13A x 35 s

Q = 4.55 C

To calculate energy transferred,

E = Q x V

where,

Q is charge

V is potential difference

So by given values,

E = 4.55  x 0.30

E = 1.365 J

Energy :

In order to perform work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is a quantitative property. Energy is a conserved resource; according to the law of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

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What is Newton's third law of motion?​

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Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A. In other words, forces result from interactions

Explanation:

Newton’s Third Law: Action & Reaction

Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first.

His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A. In other words, forces result from interactions.

Examples of action and reaction involving aerodynamics:

   The motion of lift from an airfoil, the air is deflected downward by the airfoil’s action, and in reaction, the wing is pushed upward.    The motion of a spinning ball, the air is deflected to one side, and the ball reacts by moving in the opposite    The motion of a jet engine produces thrust and hot exhaust gases flow out the back of the engine, and a thrusting force is produced in the opposite direction

----------------

HOPE THIS HELPS <3

Answer :

Newton's Third law of motion states :

" Every action has an equal and opposite reaction "

i.e If a force is applied by an object A on another object B then that object B also exerts a foce on object A, that is of same magnitude and opposite direction to the force applied by object A.

Ex - A book on a table exerts gravitational force on the table and table exerts back a normal force on the book.

at what speed would an 6.90–kg trash can have the same momentum as the truck? (note that the speed is unreasonable.)

Answers

The velocity of trash can of mass 6.90 kg should be almost equal to 500 times the velocity of truck in order to have same momentum.

We have a trash can of mass 6.90 kg and a truck.

We have to determine at what speed a 6.90 kg trash can have the same momentum as the truck.

What is Momentum?

The momentum of a body is the product of its mass and velocity. Mathematically -

p = mv

According to the question -

Assume that the mass of the truck is comparable to a real truck and is equal to 3500 Kg.

Mass of can = 6.9 Kg

Assume that the truck is moving with velocity u m/s and the can is moving with velocity v m/s.

Then -

Momentum of Truck = p(T) = 3500 x u  Kg m/s

Momentum of Can = p(C) = 6.9 x v Kg m/s = 7 x v Kg m/s {Rounded)

Since, the momentum of the truck and the trash can are same, therefore-

p(T) = p(C)

3500 x u = 7 x v Kg m/s

u / v = 7 / 3500 = 1 / 500

v = 500 u

Hence, the velocity of can should be almost equal to 500 times the velocity of truck  in order to have same momentum.

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Identify the level of measurement of the data, and explain what is wrong with the given calculation. in a set of data, are represented as for for and for the average (mean) of the is:________

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Level of measurement of the data is the average (mean) of the is: Ordinal scales.

What is level of measurement?

A categorization that specifies the type of information included in the values assigned to variables is called level of measurement or scale of measure. The most well-known categorization was created by psychologist Stanley Smith Stevens and included four levels or scales of measurement: nominal, ordinal, interval, and ratio.

You may find out how accurately variables are recorded using levels of measurement, also known as scales of measurement. A variable in scientific study is something that can have various values across your data collection (e.g., height or test scores).

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A gas cylinder of cf2=cf2 is unexpectedly found to have lost all pressure. upon being sawn open, what was discovered?

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Teflon was discovered upon being sawn open.

Numerous applications can be found for polytetrafluoroethylene (PTFE), a synthetic fluoropolymer of tetrafluoroethylene. It is one of the most popular and often used PFAS. The most popular brand name for PTFE-based materials is Teflon [tex](C_{2} F_{4} )[/tex].

Teflon, a high-molecular-weight polymer made entirely of fluorine and carbon, is a fluorocarbon solid. Because PTFE is hydrophobic, neither water nor anything containing water can penetrate it.

For pans and other cookware, teflon is utilised as a non-stick coating. It is frequently used in containers and piping for reactive and corrosive chemicals since it is non-reactive, in part due to the strength of the carbon-fluorine bonds.

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matter and energy- how are they interrelated?

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Any substance that possesses mass and volume is considered to be matter. In general, atoms and anything composed of them are considered to be "matter."

Energy is the power to effect change or carry out work.

The connection between energy and matter is determined by the speed of light, per the theory of relativity. E = M x C^2, where E is energy, M is mass, and C is the speed of light, describes how matter and energy are related.

Matter and Energy - How are they inter-related?

The variation in a body's mass is inversely proportional to the square of the speed of light and directly correlated with the amount of energy released during the conversion process. An energy conversion process can be carried out by a system using this kind of transformations, in which some of the body's intrinsic energy is converted into thermal energy or radiant light. Also implied by this process is a loss of mass. At the atomic level, the shift of mass is significant because it demonstrates that matter is not an immutable property of the body and that it may, in fact, "disappear," releasing energy to the outside.

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A bus travels to proviso east high school from oprfhs. it takes the bus 0.1 hrs to get there when it is travelling 30 miles per hour. if the bus traveled from phs all the way back to oprfhs in 0.15 hrs then what is the bus's displacement?

Answers

the bus traveled from all the way back to  in 0.15 hrs then

is the bus's displacement-

Displacement of bus is 3 miles.

Given that

A bus travels to proviso east high school from oprfhs.It takes the bus 0.1 hrs to get there when it is travelling 30 miles per hour.the bus traveled from phs all the way back to oprfhs in 0.15 hrs.

To find

We have to find the displacement of bus when this traveled from phs all the way back to oprfhs in 0.15 hrs.

So according the question

We have

velocity of bus travels to proviso east high school from oprfhs

                       u = 30 mile/hour.

Time taken by bus travels to proviso east high school from oprfhs

                      t₁ = 0.1 hour.

Time of bus when this traveled from phs all the way back to oprfhs from proviso east high school

                      t₂ = 0.15 hour.

Now, We have to find the total distance travelled by bus

We know that,

         [tex]velocity = \frac{distance}{time}[/tex]

So,

             [tex]u = \frac{distance}{t_1}[/tex]

              [tex]distance d = {u}\times {t_1}[/tex]

              d = 30 × 0.1

              d = 3 miles

The total distance from oprfhs to phs is 3 miles.

This bus firstly travels from oprfhs to phs and come back from phs to oprfhs so the distance travelled by bus will be same i.e 3 miles.

Now, we can say that when bus traveled from phs all the way back to oprfhs in 0.15 hrs then the displacement of the bus is 3 miles.

Displacement of bus is 3 miles.

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a sound wave with intensity 1.9×10−3 w/m2 is perceived to be modestly loud. your eardrum is 5.7 mm in diameter.

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Complete Question is

A sound wave with intensity

2.0×10−3Wm2

is perceived to be modestly loud. Your eardrum is 5.9 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1 minute? Express answer in Joules.

The energy transferred to the human ear per minute will be : 2.909×10⁻³J.

W=Pt

  =I*A*t

  =1.9×10⁽⁻³⁾×π×(5.7×10⁽⁻³⁾)²/4×60

  =2.909×10⁻³J

the amount of power that is transported beyond a given place of the medium in keeping with unit of time is referred to as the intensity of the sound wave. The extra the amplitude of vibrations of the particles of the medium, the extra the charge at which electricity is transported through it, and the extra severe that the sound wave is.

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what is the focal length of a makeup mirror that produces a magnification of 3.81 when a person’s face is 18.0 cm away?

Answers

When the mirror produces the magnification of 3.81 when a person’s face is 18.0 cm away, The focal length of a mirror is 0.24 m

Define Focal Length?

An optical system's focal length serves as a gauge for how strongly it diverges or converges light. It is the opposite of the system's optical power. A system is said to be somewhat divergent when the focal length is negative, slightly convergent when the focal length is positive.

Calculations:

Given:

Magnification, m = 3.81

distance between face and lens, d = 18 cm

We know that,

[tex]m=\frac{-d_{i} }{d_{o} }[/tex]

[tex]d_{i} = distance\;between\;object\;and\;lens[/tex]

[tex]d_{0} = distance\;between\;image\;and\;lens[/tex]

[tex]d_{i}=-m \times d_{o}[/tex]

Substitute the known values in the above reaction,

[tex]d_{i}=-3.81 \times 0.18[/tex]

[tex]d_{i}=-0.69\;m[/tex]

We know that, Focal length,

[tex]f=\frac{1}{\frac{1}{d_{0} } + \frac{1}{d_{i} } }[/tex]

Substitute the known values in the above equation,

[tex]f=\frac{1}{\frac{1}{0.18 } + \frac{1}{-0.69 } }[/tex]

By solving the above equation, We get,

[tex]f=0.24\;m[/tex]

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is it nessesary to have a break in a swiming pool after you eat?

Answers

Answer:

yes

Explanation:

because you have to eat so that you can have strength of swimming again

A 2kg mass hangs at the end of spring whose constant is k=800n/m the mass is displaced a distance of 10cm and then released what is the velocity of the instant the displacement is x=+6cm?

Answers

Answer:

Let x = A cos ω t      when ω t = 0, x = A = .1 m

x = .1 cos ω t

cos ω t = .06 / .1 = .6       when x = .06

ω t = 53.1 deg        at a displacement of .06

v = -ω A sin ω t      speed of particle

ω = (k / m)^1/2 = (800/2)^1/2 = 20

v = 20/s * .1 m sin 53.1 = 1.60 m/s

u are an engineer in an electric-generation station. you know that the flames in the boiler reach a temperature of 1200 k and that cooling water at 300 k is available from a nearby river. w

Answers

The plant efficiency will be 75%.

We have a engineer in a Electric - Generation Station.

We have to determine the maximum efficiency plant will ever achieve.

What is the formula to calculate the maximum efficiency achieved by the plant ?

The maximum efficiency the plant will achieve is defined as -

η(max) = 1 -  [tex]$\frac{T_{min} }{T_{max} }[/tex]

Now -

T(minimum) = Temperature of Cooling water = 300 K

T(maximum) = Temperature of boiler = 1200 K

Therefore -

The maximum efficiency will be -

η(max) = 1 - [tex]\frac{300}{1200}[/tex]

η(max) = 1 - [tex]\frac{1}{4}[/tex]

η(max) = 3/4

Percentage efficiency = [tex]\frac{3}{4} \times 100\\[/tex] = 3 x 25 = 75%

Hence, the plant efficiency will be 75%.

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[ The given question is incomplete. The complete question is given below -

You are an engineer in an electric-generation station. You know that the flames in the boiler reach a temperature of 1200 K and that cooling water at 300 K is available from a nearby river. What is the maximum efficiency your plant will ever achieve? ]

Explain what it means when we say a substance is magnetic. discuss the relationship between electric and magnetic fields. what type of metals are known as ferromagnetic metals? open the lab interactive and run a few trials changing the variables each time. decide which variable you want to change in order to make a strong electromagnet, and record it here. this will be your independent variable.

Answers

The correct answer is Electrical charges in motion produce a magnetic field.

Given that an electrical current is made up of electrons travelling along a wire and that all electrons have a negative charge, all electrical currents produce magnetic fields. Due to their continual mobility, atoms' electrons also have magnetic fields. This indicates that electron mobility is what brought about the problem.

Every substance is composed of atoms, and each atom has an electron that is capable of carrying an electric charge.

The atoms are considered to be paramagnetic, which implies that they attract magnets, if these electrons are unpaired. The substance will therefore be referred to as magnetic.

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How many mL are in 0.50 quarts'

Answers

Answer:

0.5=answer

us liquid quarts = millinery

1 ml is 0.00105669

Answer:

0.000439938

Explanation:

divide the 0.50 value by 1137

a gas in a cylinder expands from a volume of 0.110m3 to 0.320m3. heat flows into the gas just rapidly enough to keep the pressure constant at 1.65×105pa during the expansion. the total heat added is 1.15×105j.

Answers

With the help of the concept of First Law of Thermodynamics , the work done by the gas is 34650 joules, the change in internal energy of the gas is 80440 joules and it will not matter whether or not gas is ideal.

What is the First Law of Thermodynamics?

The First law of thermodynamics states that energy can neither be created nor be destroyed, but it can be transferred from one form to another. The First law of thermodynamics states that heat is a form of energy and all the processes follow the principle of conservation of energy. According to first law the internal energy of a system is equal to the difference of the net heat supplied to the system and the net work done by the system,

ΔU=ΔQ-ΔW ,where,

ΔU is the change in internal energy of the system

ΔQ is the heat supplied to the system

ΔW is the net work done by the system

In the question we have been given a gas which expands from initial volume Vi = 0.110 [tex]m^3[/tex]

to final volume of Vf = 0.320 [tex]m^3[/tex],

the total heat supplied in the process is, ΔQ = 1.15×10^5 J.

All the process takes place at a constant pressure P = 1.65×10^5 Pa.(isobaric process)

1) The net work done by the gas for an isobaric process is given by,

ΔW = P(Vf - Vi)

ΔW = (1.65×10^5)(0.320 - 0.110)

ΔW = 34650 J

2)The change in internal energy of the gas is given by,

ΔU = ΔQ - ΔW

ΔU = 1.15×10^5 - 34650

ΔU = 80440 J

3) According to the first law, for an isobaric process the work done by an ideal gas or a real gas is equal under same conditions, hence, it does not matter whether the gas is ideal or real. The first law is applicable for all kind of gases

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Iven what you know about kw and acid/base chemistry, what will the ph of water be at 283k if the value for kw is 0.29 x 10-14? is this solution acidic, basic, or neutral?

Answers

The ph of water is 7.27 and the solution will be neutral.

By the formula:

Kw= [tex][H^{+} ][OH^{-} ][/tex]

Kw= 0.29 x 10^-14

PKw= PH+POH

PKw =14.53

At neutrality, [tex][H^{+} ]=[OH^{-} ][/tex] and

PH=POH

2PH=14.53

PH=7.27

Thus, the pH will be 7.27 and the solution will be neutral.

What do pH values indicate?

The pH of water indicates how acidic or basic it is. The scale runs from 0 to 14, with 7 representing neutral. pHs less than 7 indicate acidity, while pHs greater than 7 indicate baseness. The pH of water is a measure of the relative amount of free hydrogen and hydroxyl ions. The pH scale can be traced back to a set of standard solutions whose pH has been determined by international agreement. The potential difference between a hydrogen electrode and a standard electrode, such as the silver chloride electrode, is measured in a concentration cell with transference to determine primary pH standard values.

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If you pipetted 20.00ml of a liquid into a pre weighted beaker and determined that this liquid had a mass of 34.719 what is its density?

Answers

The density of the liquid id 1.73g/ml

we know that density = mass/volume

so in this question mass = 34.719g and volume= 20 ml so density =1.73g/ml

A pure substance's mass concentration in numbers is equal to its density. Density varies greatly between different types of materials and may be significant in terms of packaging, purity, and buoyancy. Osmium and iridium are the known densest elements in conditions of normal temperature and pressure.

To make density comparisons between different systems of units easier, it is occasionally replaced by the dimensionless quantity "relative density" or "specific gravity," which is the ratio of the density of the material to that of a standard material, usually water.

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initially stationary, a train has a constant acceleration of 0.4 m/s2, its speed will be m/s after 15 s.

Answers

The speed of the train after 15 seconds will be 6 m/s.

As the train is moving with constant acceleration, we have to use one of the equations of motion to calculate the final velocity of the train.

The equations of motion are:

S = ut + 1/2at^2  ..........(i)

v^2 - u^2 = 2as  ...........(ii)

V = u + at  .....................(iii)

Using equation (iii) v = u + at

u = 0 m/s

a = 0.4 m/s^2

t = 15 seconds

v = 0 + 0.4(15)

v = 6 m/s

Hence, The speed of the train after 15 seconds will be 6 m/s.

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given the following velocity function of an object moving along a​ line, find the position function with the given initial position. ​v(t)​; ​s(0) question content area bottom part 1 the position function is ​s(t)

Answers

The position function s(t)m = 0.067t^3 + 2

Calculation

Given that acceleration function a(t) = dv/dt = 0.4t

Then integrating both the side with respect to t, we get

v(t) = 0.2t^2 + C

Then we have that v(0) = 0 so, C = 0

Thus, velocity function v(t) = ds/dt = 0.2t^2

Again, integrating both sides with respect to t, we have

s(t) = 0.067t^3 +D

Given that s(0)= 2, we get D = 2

Thus, the required position function s(t)m = 0.067t^3 + 2

Based on arrival time variations as a function of source-receiver offset for a few reflection events in the gather, velocity functions are computed for selected CMP gathers.

What are the three velocity formulas?

These are the three equations:

v = u + at.

S = ut + 12at2

v2 = u2 + 2as.

What does velocity mean when it depends on position?

The rate of change in position is known as velocity. The displacement of an object is the change in position, or the smallest distance between its initial location and its final position in a given direction.

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there is an equilateral triangle with sides 2 meters in length. at one of the points is a 1 microcoulomb charge, at the second point there is a 2 microcoulomb charge, and at the third point there is a 3 microcoulomb charge. what is the magnitude of the force on the 2 microcoulomb charge?

Answers

The magnitude of the force on the 2 micro coulomb charge is 16.22mN.

Force on 2 micro coulombs by 1 micro coulomb is given as

F₁ = k · 1 × 2 × 10⁻¹²/r²

Or, F₁ = 9 × 10⁹ × 2 × 10⁻¹² /2²

Or, F₁ = 4.5 mN

Force on 2 micro coulombs by 3 micro coulomb is given as

F₂ = k · 3 × 2 × 10⁻¹²/r²

Or, F₂ = 9 × 10⁹ × 6 × 10⁻¹² /2²

Or, F₂ = 13.5 mN

As charges are placed on equilateral triangles, it means both forces will be 60 degrees separated from each other.

So, the resultant magnitude is given by

F = √F₁² + F₂² + 2F₁F₂cos60°

or F = 16.22 mN

Therefore, the magnitude of the force on the 2 micro coulomb charge is 16.22 mN.

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A is a 33 matrix with two eigenvalues. each eigenspace is one-dimensional. is a diagonalizable? why?

Answers

The answer is "C" i.e No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.

What is a matrix  ?

A matrix, sometimes known as matrices, is a rectangular array or table of characters, numbers, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity.

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Question :

5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is​ one-dimensional. Is A​ diagonalizable? Why? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. No. A matrix with 3 columns must have nothing unique eigenvalues in order to be diagonalizable. B. Yes. As long as the collection of eigenvectors spans set of real numbers Rcubed​, A is diagonalizable. C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal. D. Yes. One of the eigenspaces would have nothing unique eigenvectors. Since the eigenvector for the third eigenvalue would also be​ unique, A must be diagonalizable.

How high a column of sae 30 oil would be required to give the same pressure as 700 mm hg?

Answers

Answer:

The height of a column of sae 30 oil required to give the same pressure as 700 mm hg is 10.43 m

Explanation:

First convert the pressure from mmHg to Kpa.

Given that;

1 mHg = 133.322368 Pa

700 mmHg = 93.325679 KPa

Afterwards relate it to the pressure of SAE 30 oil

Note the density of SAE 30 oil is 912kg/m-3

γSAE 30 * h = 93325.6579 Pa

ρSAE 30 * g* h = 93325.6579 Pa

h = 93325.6579 Pa/912kg/m-3 *9.81 ms-2

h =10.43 m

This pressure is then equated with the pressure of sae 30 oil column. It is important to note that the difference in the densities of liquid and difference in the liquid column height all have the same static pressure.

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Can someone solve my vector addition problem I created?


Harry travels 40 meters east and then 45 meters south in an effort to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry. What is the resultant vector

Answers

The resultant vector is 60.2 meter in a direction 48.6° North of west.

What are resultant vectors?

Resultant vectors are the product of the addition of two or more vectors.

The resultant vector is obtained by vector addition methods such as:

Triangle vector addition methodParallelogram law of vector additionDirect addition

Considering the vector addition problem given:

Harry travels 40 meters east and then 45 meters south to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry.

The resultant vector of both Harry and Voldemort are the same since the crashed into each other.

Using Harry's movement, the motion forms a right angle triangle of sides 40 m and 45 m

Using Pythagoras' rule:

R = √(40² + 45²)

R = 60.2 meter

α = tan⁻¹(40/45)

α = 41.6

θ = 90 - 41.6

θ = 48.6°

Therefore, the resultant vector is 60.2 meter in a direction 48.6° North of west.

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