Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. what is the component form of the vector u v?

The wavelength of a photon that has energy of 1j is 19.878 ×10^-17 nm.

The energy of photon is given by,

E=h × frequency

where h is known as planck's constant whose value is

[tex]6.626 \times {10}^{ - 34} js[/tex]

Frequency : it is the reciprocal of time period . it can be defined as number of Occurance of repeating events per unit time.

f=1/T

si unit is :

[tex] {s}^{ - 1} [/tex]

The formula of frequency is :

f = c/ lambda

where c is the velocity of light whose value is 3×10^8m/s and lambda is the wavelength.

Thus,

[tex]energy = \frac{h.c}{lambda} [/tex]

And,

[tex]wavelength = \frac{h.c}{energy} [/tex]

[tex]lambda = \frac{6.626 \times {10}^{ - 34} js \times 3 \times {10}^{8} \frac{m}{s} }{1j } = 19.878 \times {10}^{ - 26} m[/tex]

Hence the wavelength of photon is 19.878×10^-26 m Or 19.878×10^-17 nm.

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Disclaimer :the data in the question is incomplete that is the options are not correct or incomplete.

Question: what is the wavelength of a photon that has an energy of 1 j.

(a) 19.878×10^-17 nm

(b) 19.878×10^-18nm

(c) 19.878×10^-16nm

(d) 19.878×10^-15nm

(e) 19.878×10^-20nm

Answer:n

Explanation:

Atmospheric pressure is about 100000 pa. at h ≈ 10 m depth in water does this pressure double

Water pressure is the result of the weight of all the water above pushing down on the water below. As you go deeper into a body of water, there is more water above, and therefore a greater weight pushing down. This is the reason water pressure increases with depth.

The atmospheric pressure at a point is defined as the force acting normally on a unit area around that point, due to the total height of the air column of the atmosphere above it.

Pressure in depth = Atmospheric pressure + (rho) * g * h

where

rho = density of water

g = acceleration due to gravity

h = depth in water

P = Po + rho * g * h

2 * [tex]10^{5}[/tex] =  [tex]10^{5}[/tex]  + [tex]10^{3}[/tex] * 9.8 * h

h = 10.20 m

h ≈ 10 m

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When the range of one or both of the variables is restricted, the correlation will be decreased

Restriction of range is the term applied to the case in which observed sample data are not available across the entire range of interest.

Correlation is a statistical measure (expressed as a number) that describes the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable is the cause of the change in the values of the other variable.

Restricted ranges affect correlations. In fact, when the range is restricted, a peculiar phenomenon happens: the correlation coefficient goes down. The range restriction causes the standard deviation of the variable x to shrink which reduces the correlation of x to some variable y. Analogue, range restriction can also affect the coefficients in multiple regression

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The new pressure of the air in the syringe is 1.5 atm.

The new pressure of the air in the syringe is calculated as follows assuming the temperature remains constant;

P2 = P1V1/V2

P2 = 1 * 60/40

P2 = 1.5 atmospheres

In conclusion, pressure varies inversely as volume.

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The mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

Mechanical energy is a special class of energy that an object contains due to its relative position or motion/movement level.

This type of energy (mechanical energy) is associated with both kinetic motion energy and potential (stored) energy.

In conclusion, the mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

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When measuring a condominium you should calculate GLA using interior measurements.

GLA stands for Gross Living Area

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Answer:

5 seconds

Explanation:

The vertical position of the ball will be given by the equation

df = do + vo t + 1/2 a t^2        df = final position  = 0  ( on the ground

                                              do = original position  ( 25 m )

                                               vo = original velocity (+ 20 m/s)

                                                a = - 10 m/s^2

So this becomes

0 = 25 + 20 t  - 1/2 (10)t^2      

  =  - 5 t^2 +20 t + 25             Use Quadratic Formula   a = -5    b=20  c = 25

                                                      to find the positive value of t = 5 seconds

Answer:

The age of the sample will decrease by 1/2 for each half-life that the sample undergoes:

1/2 * 1/2 * 1/2 = 1/8

The data indicates that the sample has undergone 3 half-lives of decay

3 * 5730 = 17190 yrs is the approximate age of the sample

Answer:

m = 15, P = .25, x = .15

F = -K x for spring

ω = (K/m)^1/2

ω^2 = K / m

K = m ω^2 = m (2 π f)^2 = m 4 π^2 / P^2

K = 4  π^2 m / P^2

F = K x = x * 4  π^2 m / P^2

F = .15 * 4 * π^2 * 15 / .25^2

F = 1420 N

Answer:

212 pounds

Explanation:

477 nm / 180 nm/hr     *   80 #/hr = 212 #

We will hear the sound of siren of frequency 1553.4606 Hz.

The apparent change in wave frequency brought on by the movement of a wave source is known as the Doppler effect. When the wave source is coming closer and when it is moving away, the perceived frequency changes. The Doppler effect explains why we hear a passing siren's sound changing in pitch.

according to Dopplers Effect,

[tex]f'=[\frac{v + v_{0} }{v - v_{s} } ]f[/tex]

[tex]f'= [\frac{700+68.1}{700-94.8} ]* 1224[/tex]

[tex]f'= 1553.4606 Hz[/tex]

the frequency would be 1553.4606 Hz.

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When calculating building energy performance, these are included as process energy:

Ways to improve BEPS

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Plasma is often called the fourth state of matter. The four states are solid, liquid, gas, and plasma

The term "fourth state of matter" refers to plasma, which it shares with solid, liquid, and gas. Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).

The fourth state of matter after solid, liquid, and gas is referred to as plasma. An ionized substance enters this state of matter when it becomes extremely electrically conductive to the point where long-range electric and magnetic forces control its behavior. Water makes up around 92 percent of the plasma. Additionally, it has 7% of essential proteins like albumin, gamma globulin, and anti-hemophilic factor, and 1% of mineral salts, carbohydrates, lipids, hormones, and vitamins.

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The electric field between the plates is 4000V/m.

To find the answer, we have to know more about the electric field.

                        [tex]E=\frac{V}{L} \\[/tex]

                   [tex]E=\frac{120}{3*10^{-2}} =4000V/m[/tex]

Thus, we can conclude that, the electric field between the plates is 4000V/m.

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The editing technique is used to indicate a passage of time, usually symbolizing a sunset and sun rise is montage .

Montages are one of the most common techniques used to show the passage of time. In motion pictures, the editing technique of assembling separate pieces of thematically related film and putting them together into a sequence.

A Montage is a series of video messages sent privately from a bunch of people who really care about you, and combined into one surprise, video gift. Most Montages are 10-30 minutes long. The longest Montage ever was 1 hour and 12 minutes long

Montages enable filmmakers to communicate a large amount of information to an audience over a shorter span of time by juxtaposing different shots, compressing time through editing, or intertwining multiple storylines of a narrative. The word “montage” derives from French — meaning “assembly” or “editing.”

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Sulphur

The missing element is sulphur

Here the compound is composed of  element X and chlorine.

it is given,

XCl (6) ----> 6Cl

mass = 13.1%

it is X and Cl = 100%-13.10%

                     = 86.90%

chlorine = 86.90            

X = 13.10

We assume 100g of sample

so according to the above solved data, in 100g of sample we have 86.90 g of chlorine.

now we split that chlorine into two moles of chlorine.

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The Potential at the origin due to the four point charges located at  (0, 2), (0, -2), (2 , 0), and (-2 , 0) will be - [tex]45\times10^{4}[/tex] volts.

We have four point charges, each of charge [tex]2.5\times10^{-5}[/tex] C, are located on the x - axis and y - axis, one at each of the locations (0, 2), (0, -2), (2 , 0), and (-2 , 0).

We have to calculate the potential at the origin O(0,0).

The Electric field potential due to point charge ' q ' at a distance ' r ' meters apart is -

[tex]V(r) = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}[/tex]

Now, in the question given to us -

q = [tex]2.5\times10^{-5}[/tex]

Let us label the four points as - A (0, 2), B (0, -2), C (2 , 0), and D (-2 , 0).

Now, the potential due to charge located at point A will be -

[tex]V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = 9\times10^{9}\times\frac{2.5\times10^{-5} }{2} \\V_{A} = 11.25\times10^{4}[/tex]

Now, the distance of the center from each point will be same = 2 m.

Hence, the potential due to each charge at the origin will be -

[tex]V_{A} =V_{B} =V_{C} =V_{D} = 11.25\times10^{4}[/tex]

Since, the potential is a scalar quantity, we can add the potential due to each charge using simple addition -

[tex]V_{A} +V_{B} +V_{C} +V_{D} = 4\times11.25\times= 45\times10^{4}[/tex] Volts

Hence, the potential at the center will be - [tex]45\times10^{4}[/tex] volts.

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The work done by the force field f! (x, y) = x sin(y)i + yj on a particle that moves along the parabola y = x2 from (−1, 1) to (2, 4) will be  15/2 + 1/2 cos1 -1/2 cos4

Work done on a body is equal to the increase in the energy of the body, for work transfers energy to the body. If, however, the applied force is opposite to the motion of the object, the work is considered to be negative, implying that energy is taken from the object.

The units in which work is expressed are the same as those for energy, for example, in SI (International System of Units) and the metre-kilogram-second system, joule (newton-metre)

Equation of parabola :  y = [tex]x^{2}[/tex]

dy = 2x dx

f(x , y) = x sin (y) i + y j

          =  [tex]\int\limits^2__{} \, -1[/tex] [tex]\ {x sin (x^{2} )} \, dx[/tex] +  [tex]\int\limits^2__{} \, -1[/tex] 2x . [tex]x^{2}[/tex] dx

          =  [tex]\int\limits^2__{} \, -1[/tex] [tex]\ {x sin (x^{2} )} \, dx[/tex] +  [tex]\int\limits^2__{} \, -1[/tex] 2 [tex]x^{3}[/tex] dx

          =   1/2[tex]x^{4}[/tex] * ( - 1/2 cos [tex]x^{2}[/tex] ) + [tex]x^{4}[/tex] / 2

          =   8 - 1/2 + (-1/2 cos 4 + 1/2 cos 1)

          =   15/2 + 1/2 cos1 -1/2 cos4

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According to Stephanie, is the optimal production quantity per cycle. The best output rate each cycle for each day of the week, as determined by Step 1 by Stephanie, might be: To calculate each model's daily demand, multiply the weekly demand for each model by 5.the total number of protons and neutrons found in an atom's nucleus.

The mass number is an production that roughly equates to the atomic mass's numerical value. Despite being unitless, the mass number is assigned atomic mass units (amu). The average atomic mass of any molecule or polyatomic ion can be determined from its composition by summing the rate masses of the constituent atoms.

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The reactance in a purely inductive load if we increase the driving angular frequency will also increase .

An inductor is defined as a passive component that is used in most electrical circuits to store energy in the form of magnetic energy when electric current flows through it. It is also known as the coil, choke, or reactor. It is a two-terminal electrical component that is characterized by its inductance.

Inductive reactance is the property of an inductive coil that resists the change in alternating current (AC) through it and is similar to the opposition to direct current (DC) in a resistance.

Inductive reactance = angular frequency * inductance

X (L) = ω L

The inductive reactance of an inductor is directly proportional to  angular frequency . Hence , if reactance in a purely inductor increases if there is an increase in angular frequency .

The slope shows that the “Inductive Reactance” of an inductor increases as the supply frequency across it increases. Then we can see that at DC an inductor has zero reactance (short-circuit), at high frequencies an inductor has infinite reactance (open-circuit).

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Electromagnetic spectrum represents the complete range of frequencies of light energy from radio waves to cosmic rays.

Electromagnetic spectrum is nothing but the complete range of electromagnetic radiation, classified by frequency or wavelength.

When an electric field interacts with a magnetic field, electromagnetic waves are created. Therefore, they are referred to as "electromagnetic" waves.

these are ranging from  highest to lowest energy

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a) For 0 compressions:

potential energy = U =  0 J

kinetic energy = k = 0.383 J

total mechanical energy = E = 0.383 J

b) For compression of 1 cm:

potential energy = U = 0.0228 J

kinetic energy = k = 0.155 J

total mechanical energy = E = 0.383 J

c) For compression of 2 cm :

potential energy = U = 0.1104 J

kinetic energy = k = 0.272 J

total mechanical energy = E = 0.383 J

d) For compression of 3cm:

potential energy  = U = 0.248 J

kinetic energy = k = 0.177 J

total mechanical energy = E = 0.383 J

The equations for kinetic energy is:

k= 1/2*m*[tex]v^{2}[/tex]

The equation for elastic potential energy is:

U= 1/2*ks*[tex]x^{2}[/tex]

Where,

m= mass of the block

v= velocity

ks= spring constant

x= displacement of the spring

(a)when compression= 0 cm

U= 1/2*ks*[tex]v{2}[/tex]

U= 1/2*552*[tex](0)^{2}[/tex]

 = 0 J

Kinetic energy:

k= 1/2*m*[tex]x^{2}[/tex]

k= 1/2*(1.05)*[tex](0.855)^{2}[/tex]

k= 0.383 J

Mechanical energy:

E= k + U

E= 0.383+0

E= 0.383 J

There will be no work done by friction or any other dissipative force, hence this energy will be conserved, or it will remain constant (like air resistance). This indicates that only spring potential energy will be created from the kinetic energy (there is no thermal energy due to friction, for example).

(b) spring potential = ?

U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]

U= 0.0228 J

Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:

E= k + U

0.383= k + 0.0228

k= 0.383 - 0.228

k= 0.155

(c)spring constant when x= 0.02

U= 1/2*552*[tex](0.02)^{2}[/tex]

U= 0.1104 J

Using the equation of mechanical energy:

E= k +U

0.383= k+ 0.1104

k= 0.383 - 0.1104

k= 0.272 J

(d) U= 1/2*552*[tex](0.03)^{2}[/tex]

U= 0.2484 J

E= 0.383 J

k = E - U

k= 0.383- 0.206

k= 0.177

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The amount of energy delivered by the heater in a given time interval will be increase by a factor of four

Given:

Current in wire = I

current is double = 2I

To Find:

amount of energy delivered by the heater

Solution:

Scientists define energy as the ability to do work.

The unit of energy is the joule, the unit of power is the watt, and the unit of time is the second.

E = Power x Time = P x T

P = (I)^2 x T

E' = (2I)^2 x T

E' 4I^2T

E' = 4E

So, amount of energy delivered by the heater will be four time initial energy

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Answer:

C=F×W

so, W=C/F

Explanation:

frequency=F

wavelength=W

speed of light =C in that medium

No two electrons in an atom or molecule may have the same four electronic quantum numbers, according to the Pauli Exclusion Principle. Only two electrons can fit into an orbital at a time, hence they must have opposing spins.

According to Pauli's Exclusion Principle, no two electrons in the same atom can have values for all four of their quantum numbers that are exactly the same. In other words, two electrons in the same orbital must have opposing spins and no more than two electrons can occupy the same orbital.

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The maximum electric field strength in an electromagnetic wave that has a maximum magnetic field strength of 5 × 10^-4 T (about 10 times earth’s magnetic field) is 15 × 10^4 V/m

Given,

Maximum magnetic field strength, [tex]B_{max}[/tex] = 5 × 10^-4 T

Then,

Maximum electric field strength, [tex]E_{max}[/tex] = [tex]B_{max}[/tex] c

Where, c is the speed of light

Substituting all values in formula, we get,

             [tex]E_{max}[/tex] = 5 × 10^-4 × 3 × 10^8

                      = 15 ×× 10^4 V/m

Concept

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The current must change at a rate of [tex]10^{4}[/tex] A/sec to induce an emf of 1000 volts.

We have a inductor of inductance 100 millihenry.

We have to calculate at what rate the current in the inductor have to change to induce an emf of 1000 Volts.

According to the faraday's law of induced voltage, the voltage induced in the conductor present in the time changing magnetic field is directly proportional to the negative of the rate of change of magnetic flux passing through it per unit time. Mathematically -

ε = [tex]- N\frac{d\phi}{dt}[/tex]

Where -

ε is the induced voltage

N is the number of turns

[tex]\frac{d\phi}{dt}[/tex] represents the rate of change of magnetic flux

Now, in the question it is given that -

L = 100 mH = 0.1 H

ε = 1000 Volts

Now - the voltage across the inductor is given by :

[tex]V = L \frac{di}{dt}[/tex]

[tex]\frac{di}{dt} = \frac{V}{L} = \frac{1000}{0.1} = 10^{4}[/tex] A/sec

Hence, the current must change at a rate of [tex]10^{4}[/tex] A/sec to induce an emf of 1000 volts.

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The direction angle of 4w- (2u v) is equal to 353.7°.

A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=ai+bj, can be used to determine the direction angle,, of the vector.

Use the formula = arctan(y/x) to determine the direction of the vector v = (x, y), where is the smallest angle the vector makes with the horizontal axis and x and y are its component vectors.

The angle a vector creates with a horizontal line is used to determine the vector's direction. The formula:where x is the horizontal change and y is the vertical change, gives the direction angle of a vector.

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The acceleration of the car is 3.56 m/s².

Rate of change of velocity with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Some characteristics of acceleration are-

The formula for acceleration is;

[tex]\bar{a}=\frac{v-v_{0}}{t}=\frac{\Delta v}{\Delta t}[/tex]

[tex]\begin{aligned}&\bar{a}=\text { average acceleration } \\&v=\text { final velocity } \\&v_{0}=\text { starting velocity } \\&t=\text { elapsed time }\end{aligned}[/tex]

The starting velocity is 3.50 m/s

The final velocity is 14.8 m/s.

The elapsed time is 3.17 s.

Substitute all the values in the formula of acceleration;

[tex]\bar{a}=\frac{14.8-3.50}{3.17}\\\bar{a}=3.56[/tex]

Therefore, the acceleration of the car is 3.56 m/s².

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F = 1420 N

Force was required to stretch the spring by the initial 15cm is 1420 N.

m = 15, P = 0.25, x = 0.15

F = -K x for spring

where,

           F = force

           K = constant

ω = (K/m)^1/2

where,

           ω = angular frequency

           m = mass of the block

ω^2 = K / m

K = m ω^2 = m (2 π f)^2 = m 4 π^2 / P^2

K = 4  π^2 m / P^2

F = K x = x * 4  π^2 m / P^2

F = 0.15 * 4 * π^2 * 15 / 0.25^2

F = 1420 N

The movement between two locations back and forth, or to swing back and forth like a pendulum is known as oscillation.

A condition where competing forces or actions are in balance is called equilibrium.

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