An electromagnetic wave of wavelength 435 nm is traveling in vacuum in the negative dircction of z-axis. The magnetic field has amplitude 1.25 μT and is parallel to the y-axis. (a) What is the frequency of the wave? (b) What type in the electromagnetic spectrum is this wave? (c) What is the magnitude of the electric field? (d) Parallel to which axis does the clectric field oscillate? (c) Write the vector equations (using unit vectors i, j and k) for E(z, t) and B(z, t). ( Write the vector equation of Poyting vector. (g) What is the time-avcraged rate of energy flow associated with this wave (in W/m2)

Answers

Answer 1

a)  The frequency of the wave is approximately 689.66 ×10¹² Hz.

b) The wave is a part of the visible light spectrum.

c) The magnitude of the electric field is 3.75×10² V/m.

d)  The electric field oscillates parallel to the x-axis.

e) The vector equations for E(z,t) and B(z,t) can be written as:

E(z,t)=E0⋅sin(kz−ωt)⋅i

B(z,t)=B0⋅sin(kz−ωt)⋅j

f) the Poynting vector is approximately 8.93 x 10⁵ W/m².

g) the time-averaged rate of energy flow associated with this wave is approximately 3.95×10⁵  W/m².

a) The frequency of an electromagnetic wave can be determined using the formula:

c=λ⋅f

where c is the speed of light in vacuum (approximately 3×10⁸m/s), λ is the wavelength, and f is the frequency.

Given the wavelength λ=435 nm (1 nm = 10⁻⁹ nm), we can convert it to meters:

λ=435×10⁻⁹ m

Substituting the values into the formula:

3×10⁸ m/s= (435×10⁻⁹ m) f

Solving for f:

=3×10⁸ m/s /435×10⁻⁹ m

Calculating the value:

= 689.66×10¹² Hz

Therefore, the frequency of the wave is approximately 689.66×10¹² Hz.

b) The electromagnetic spectrum includes various regions, such as radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. The specific type of wave can be determined based on the frequency or wavelength.

Since the frequency of the wave is in the range of hundreds of terahertz, it falls within the visible light region of the electromagnetic spectrum. Visible light is typically defined as having a wavelength range of approximately 400 nm to 700 nm. Therefore, this wave is a part of the visible light spectrum.

To learn more about electromagnetic wave, here

https://brainly.com/question/29774932

#SPJ4


Related Questions

A laptop battery has an emf of 11.4 V. The laptop uses 0.80 A while running. Part A How much charge moves through the battery each second? Express your answer with the appropriate units. By how much does the electric potential energy of this charge increase as it moves through the battery? Express your answer with the appropriate units.

Answers

(a) The charge moving through the battery each second is 0.80 Coulombs. (b) The electric potential energy of the charge increases by 9.12 Joules as it moves through the battery.

Part A:

The charge moving through the battery each second can be calculated using the formula:

Q = I * t

Where Q is the charge, I is the current, and t is the time.

Given that the laptop uses 0.80 A while running, the charge moving through the battery each second can be calculated as:

Q = (0.80 A) * (1 s)

Calculating this expression gives us:

Q = 0.80 C

Therefore, the charge moving through the battery each second is 0.80 Coulombs.

Part B:

The change in electric potential energy as the charge moves through the battery can be calculated using the formula:

ΔPE = Q * ΔV

Where ΔPE is the change in electric potential energy, Q is the charge, and ΔV is the change in voltage.

In this case, since the battery has an emf (electromotive force) of 11.4 V, the change in voltage is equal to the emf. Therefore, we have:

ΔPE = Q * emf

Substituting the known values, we have:

ΔPE = (0.80 C) * (11.4 V)

Calculating this expression gives us:

ΔPE = 9.12 J

Therefore, the electric potential energy of the charge increases by 9.12 Joules as it moves through the battery.

(a) The charge moving through the battery each second is 0.80 Coulombs.

(b) The electric potential energy of the charge increases by 9.12 Joules as it moves through the battery.

To know more about potential energy ,visit:

https://brainly.com/question/21175118

#SPJ11

if a buffer solution is 0.210 m in a weak acid ( a=6.7×10−5) and 0.470 m in its conjugate base, what is the ph?

Answers

If a buffer solution is 0.210 m in a weak acid and 0.470 m in its conjugate base. The pH of the buffer solution is approximately 4.53.

To determine the pH of a buffer solution, we can use the Henderson-Hasselbalch equation, which is given by

pH = pKa + log ([A-] / [HA])

Where:

pH is the logarithmic measure of the hydrogen ion concentration in the solution.

pKa is the negative logarithm of the acid dissociation constant (Ka) of the weak acid.

[A-] is the concentration of the conjugate base.

[HA] is the concentration of the weak acid.

In this case, the concentration of the weak acid ([HA]) is 0.210 M, and the concentration of the conjugate base ([A-]) is 0.470 M. The acid dissociation constant (Ka) is given as 6.7 × [tex]10^{-5}[/tex].

First, let's calculate the pKa

pKa = -log(Ka) = -log(6.7 × [tex]10^{-5}[/tex]) = 4.18

Next, substitute the given values into the Henderson-Hasselbalch equation:

pH = 4.18 + log(0.470 / 0.210) = 4.18 + log(2.238) = 4.18 + 0.35

pH = 4.53

Therefore, the pH of the buffer solution is 4.53.

To know more about pH here

https://brainly.com/question/17742323

#SPJ4

when heating a sample of liquid water, which of the following best describes the point at which boiling begins?when heating a sample of liquid water, which of the following best describes the point at which boiling begins?

Answers

When heating a sample of liquid water, the point at which boiling begins is best described as the temperature at which the vapor pressure of the liquid equals the atmospheric pressure.

The point at which boiling begins is when the vapor pressure of the liquid equals the atmospheric pressure. At this point, the liquid can no longer hold any more vapor and bubbles of vapor form and rise to the surface. The temperature at which this occurs is called the boiling point.

For water at sea level, the boiling point is 100°C (212°F). However, the boiling point of water can vary depending on the atmospheric pressure. At higher altitudes, the atmospheric pressure is lower, so the boiling point of water is lower. For example, at the top of Mount Everest, the boiling point of water is about 70°C (160°F).

The boiling point of a liquid can also be affected by the presence of impurities. For example, salt water has a higher boiling point than pure water. This is because the salt molecules interfere with the formation of water vapor.

To learn more about atmospheric pressure click here

https://brainly.com/question/1391071

#SPJ11

Does Direction matter when you are measuring momentum

Answers

Answer:

Yes

Momentum is a vector quantity

Explanation:

A vector quantity is a quantity that has both magnitude and direction

So definitely direction matters

Answer:

no on edge 2021

Explanation:

the force on a loop of wire in a magnetic field shown in the figure can be used to measure the field strength. the field is uniform, and the plane of the loop is perpendicular to the field.

Answers

The force experienced by the loop can be utilized to measure the field strength of the uniform magnetic field.

This force is known as the magnetic force or the Lorentz force.

The magnetic force (F) on a current-carrying loop of wire in a magnetic field is given by the equation:

[tex]F = I * B * A * sin(\theta)[/tex]

Where:

F is the magnetic force,

I is the current flowing through the loop,

B is the magnetic field strength,

A is the area of the loop, and

θ is the angle between the magnetic field and the normal to the loop.

In this case, the loop is placed perpendicular to the magnetic field, so θ = 90 degrees, and sin(θ) = 1. Therefore, the equation simplifies to:

F = I * B * A

By adjusting the current and measuring the resulting force, we can calculate the magnetic field strength (B) using the equation:

B = F / (I * A)

To know more about Lorentz force, here

brainly.com/question/28211140

#SPJ4

--The complete question is, How the force on a loop of wire in a magnetic field can be used to measure the field strength? the field is uniform, and the plane of the loop is perpendicular to the field.--

2.
Which of the following has the greatest momentum?
A.
0.2 kg ball moving at 40 m/s
В.
500 kg car traveling at 16 m/s
С.
2000 kg truck traveling at 9 m/s
D
50 kg child skateboarding at 4 m/s

Answers

Answer:

I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time

C because all you need to do is multiply the mass and the velocity where 500•16=18,000

A force of 2 lb stretches a spring 1 ft. An 8-lb weight is attached to the end of the spring and released 4in. above the equilibrium position from rest. If the medium offers a resistance to the motion of the weight numerically equal to 3/2 times the instantaneous velocity, find the equation of motion. Determine if the system is underdamped, overdamped, or critically damped.

Answers

The solution to the differential equation is then:

x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t)

And the system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.

The force required to stretch a spring is directly proportional to the amount the spring is stretched. This relationship is known as Hooke’s Law. It can be expressed mathematically as:

F = -kx

Where F is the force applied to the spring, x is the displacement of the spring from its equilibrium position, and k is the spring constant.

For a mass-spring system under the influence of a damping force, the differential equation governing the system is:

m(d2x/dt2) + c(dx/dt) + kx = 0

where m is the mass of the object attached to the spring, c is the damping coefficient, and k is the spring constant.

The given force of 2 lb stretches the spring by 1 ft, so the spring constant is given by k = F/x = 2/1 = 2 lb/ft.

The 8-lb weight is released 4 in. above the equilibrium position, which is 0.25 ft. The initial displacement is therefore x(0) = 0.25 ft, and the initial velocity is v(0) = 0. The damping force is given by f_d = -3/2v. Using the values given, the differential equation for the system is:

m(d2x/dt2) + c(dx/dt) + kx = 0 (1)

The values of m, k, and c are given by

m = 8/g = 8/32.2 = 0.248 kg

k = 2/lb/ft * 0.4536 kg/lb * 0.3048 m/ft = 0.294 kg/sm = 0.248 kgc = 3/2

The equation of motion is then:

d2x/dt2 + 12.05dx/dt + 1.186x = 0 (2)

where we have substituted the values of m, c, and k into equation (1).

The characteristic equation is:

r2 + 12.05r + 1.186 = 0 (3)

Solving for the roots of the characteristic equation, we find:

r = (-12.05 ± √(12.052 - 4(1.186)))/2= -6.025 ± 2.181i

The roots are complex conjugates, so the solution to the differential equation can be written as:

x(t) = e⁽⁻⁶·⁰²⁵t⁾(C₁ cos(2.181t) + C₂ sin(2.181t)) (4)

The initial displacement and velocity are given by x(0) = 0.25 and v(0) = 0.

Substituting these values into equation (4) and taking the derivative, we get:

x(0) = C₁ = 0.25dx/dt|t=0 = -6.025

C₂ = 0

Solving for C₁ and C₂, we get:

C₁ = 0.25C2 = 0

The solution to the differential equation is then:

x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t) (5)

The system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.

Learn more about the forces at:

https://brainly.com/question/17063178

#SPJ11

Two identical metal objects are insulated from their surroundings. Object A has a net charge of excess electrons. Object B is grounded. Which object is at a higher potential?
a) A
b) B
c) Both are at the same potential.
d) Cannot be determined without more information.

Answers

As a result, electrons are in high potential energy, and the object A has a negative potential.

Two identical metal objects are insulated from their surroundings. Object A has a net charge of excess electrons. Object B is grounded.  The object at a higher potential is the object with excess electrons which is object A. The correct option is: A .In grounded object, the excess charges will neutralize and are canceled out by opposite charges from the earth, resulting in the object having no charge or neutral. Therefore, object B is neutral. On the other hand, Object A has an excess of electrons that create an electrostatic repulsive force, with each electron repelling each other.

Know more about potential   here:

https://brainly.com/question/9349250

#SPJ11

what is the minimum possible coefficient of static friction between thebike tires and the ground?

Answers

The minimum possible coefficient of static friction between bike tires and the ground is zero. This means that there is no requirement for static friction to exist in order for the bike to remain stationary or in motion.

Static friction is the force that prevents two surfaces from sliding against each other when there is no relative motion between them. It depends on the nature of the surfaces in contact and the force pressing them together. In the case of bike tires and the ground, the coefficient of static friction measures the ratio of the maximum static frictional force to the normal force between the tire and the ground.

If the coefficient of static friction were zero, it would imply that there is no need for static friction to keep the bike tires from slipping. This situation can occur when the surfaces are extremely smooth or when other forces, such as rolling resistance or air resistance, provide enough stability to maintain traction.

However, it's important to note that a zero coefficient of static friction can also indicate a lack of friction altogether, which could make it impossible for the bike tires to maintain contact with the ground and result in sliding or loss of control.

Learn more about static friction here:

https://brainly.com/question/17140804

#SPJ11

A. 180Ω resistor is in series with a 0.150H inductor and a 0.600μF capactor. Part A
Compute the impedance of the circuit at a frequency of f1=500 Hz and at a frequency of f2 =1000 Hz. Enter your answer in ohms separated by comma
Z1, Z2 = ____Ω. Part B In each case; compule the phase angle of the source voltage with respect to the current. Enter your answer in degrees separated by comma.

Answers

At a frequency of 500 Hz, the impedance of the circuit is approximately 180.026Ω, and the phase angle of the source voltage with respect to the current is approximately 0.637°.

A) To compute the impedance of the circuit, we use the formula:

Z = √(R² + (XL - XC)²)

Where Z is the impedance, R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance.

Given:

Resistance (R) = 180Ω

Inductance (L) = 0.150H

Capacitance (C) = 0.600μF

= 0.600 × 10⁻⁶ F

At frequency f1 = 500 Hz:

XL = 2πf1L

XC = 1/(2πf1C)

Calculating XL and XC:

XL = 2π(500 Hz)(0.150 H)

= 471 Ω

XC = 1/(2π(500 Hz)(0.600 × 10⁻⁶ F))

≈ 5307 Ω

Using the formula for impedance:

Z1 = √(R² + (XL - XC)²)

= √(180² + (471 - 5307)²)

≈ 180.026 Ω

At frequency f2 = 1000 Hz:

XL = 2πf2L

XC = 1/(2πf2C)

Calculating XL and XC:

XL = 2π(1000 Hz)(0.150 H)

= 942 Ω

XC = 1/(2π(1000 Hz)(0.600 × 10⁻⁶ F))

≈ 2653 Ω

Using the formula for impedance:

Z2 = √(R² + (XL - XC)²)

= √(180² + (942 - 2653)²)

≈ 180.134 Ω

B) The phase angle (θ) of the source voltage with respect to the current can be calculated using the formula:

θ = atan((XL - XC)/R)

At frequency f1:

θ1 = atan((XL - XC)/R)

= atan((471 - 5307)/180)

≈ 0.637°

At frequency f2:

θ2 = atan((XL - XC)/R)

= atan((942 - 2653)/180)

≈ 0.318°

At a frequency of 500 Hz, the impedance of the circuit is approximately 180.026Ω, and the phase angle of the source voltage with respect to the current is approximately 0.637°. At a frequency of 1000 Hz, the impedance of the circuit is approximately 180.134Ω, and the phase angle is approximately 0.318°.

To know more about Impedance visit:

https://brainly.com/question/15110043

#SPJ11

_______ are considered to be fluids.



Solids



Liquids only



Gases only



Liquids and gases

Answers

Answer:

liquids and gases

Explanation:

Liquids and gases are considered to be fluids because they yield to shearing forces, whereas solids resist them.

Which type of bond is the attraction between two oppositely charged atoms or groups of atoms

Answers

Answer:

The type of bond is ionic bond also called electrovalent bond.

Explanation:

This ionic bond is formed through an electrostatic attraction between two oppositely charged atoms.

Hope this helps! :)

And also this question was already answered on Brainly if you wanna check it out.

Red light has a wavelength of 650 nm. Green light has a wavelength of 550 nm. The speed of light is 3×108 m/s
Frequency of the red light = 4.615*10^14 s^-1
Frequency of the green light = 5.455*10^14 s^-1
You are driving to school and approach a red light. How fast would you need to be going to make the light appear to be green? Give your answer in m/s. It will also need scientific notation.

Answers

To make the red light appear green, you would need to be traveling at a speed of approximately 2.727×10⁸ m/s.

How to make the red light appear green?

The color of light is determined by its wavelength. Red light has a longer wavelength than green light, with the given values of 650 nm and 550 nm, respectively.

The frequency of light is inversely proportional to its wavelength, so we can use the formula:

frequency = speed of light / wavelength

Given that the speed of light is 3×10⁸ m/s, we can calculate the frequencies of red and green light:

Frequency of red light = (3×10⁸ m/s) / (650×10⁻⁹ m) = 4.615×10¹⁴ s⁻¹

Frequency of green light = (3×10⁸ m/s) / (550×10⁻⁹ m) = 5.455×10¹⁴ s⁻¹

To perceive the red light as green, we need to match the frequencies. Since the speed of light remains constant, we can equate the two frequencies:

(3×10⁸ m/s) / (λ_red) = (3×10⁸ m/s) / (λ_green)

Simplifying the equation, we find:

λ_red = λ_green

From this, we can determine the speed required to make the red light appear green:

v = (λ_red - λ_green) / λ_green = (650×10⁻⁹ m - 550×10⁻⁹ m) / 550×10⁻⁹ m = 100×10⁻⁹ m / 550×10⁻⁹ m

v ≈ 2.727×10⁸ m/s

Therefore, in order for the red light to appear green, you would need to be moving at a velocity of approximately 2.727×10⁸ m/s.

To know more about wavelength, refer here:

https://brainly.com/question/7143261#

#SPJ4

A force of 355 N is applied to an object that accelerates at a rate of 7.8 m/sec2 . What is the mass of the object ?

Answers

Answer:

A force of 355 N is applied to an object that accelerates at a rate of 7.8 m/sec2 . What is the mass of the object ?

Explanation:

Calculate the magnitude of the electric field at one corner of a square 2.12 m on a side if the other three corners are occupied by 4.75×10−6 C charges. Express your answer to three significant figures and include the appropriate units.
What is the direction of the electric field at the corner?
What is the direction of the electric field at the corner?
along the side of the square between the corner and one of the charges toward the charge
along the side of the square between the corner and one of the charges outward of the charge
along the line between the corner and the center of the square toward the center
along the line between the corner and the center of the square outward of the center

Answers

The direction of the electric field at the corner is along the line between the corner and the center of the square, outward of the center.

The formula to calculate the electric field at a point due to a point charge is given by: Electric field = (k * |q|) / r^2
Given that the charge at each corner is 4.75×10−6 C and the side length of the square is 2.12 m, we can calculate the electric field due to each charge at the corner. Since the charges are at the corners, the distance (r) between each charge and the corner is equal to the side length of the square (2.12 m). Calculating the electric field due to each charge and summing them up, we have:Electric field = (k * |q|) / r^2 + (k * |q|) / r^2 + (k * |q|) / r^2
Electric field = (3 * k * |q|) / r^2
Substituting the values, we get:

Electric field = (3 * 9 x 10^9 N m^2/C^2 * 4.75×10−6 C) / (2.12 m)^2

Electric field ≈ 2.526 x 10^6 N/C

Therefore, the magnitude of the electric field at one corner of the square is approximately 2.526 x 10^6 N/C. Now, let's determine the direction of the electric field at the corner. Since the other charges are positive, the electric field vectors due to these charges will point away from them. Considering the symmetry of the square, the electric field vectors at the corner will be directed along the line between the corner and the center of the square, outward of the center.Therefore, the direction of the electric field at the corner is along the line between the corner and the center of the square, outward of the center.

To learn more about electric field:

https://brainly.com/question/11482745

#SPJ11

A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. How far is his image from the mirror's surface and is it real or virtual?
o 8.33 cm, virtual o 8.33 cm, real o 75.0 cm, virtual o 75.0 cm. real

Answers

The image of the shopper is 75.0 cm from the mirror's surface, and it is virtual.

The magnification (m) of an image formed by a convex mirror is given by the formula:

m = -d_i / d_o,

where d_i is the distance of the image from the mirror's surface and d_o is the distance of the object from the mirror's surface. In this case, the magnification is given as 0.250.

Given that the shopper is standing 3.00 m from the convex mirror (d_o = 3.00 m) and the magnification is 0.250, we can rearrange the formula to solve for d_i:

d_i = -m * d_o.

Substituting the values into the formula:

d_i = -0.250 * 3.00,

   = -0.75 m.

The negative sign indicates that the image is virtual, meaning it cannot be projected onto a screen. Taking the absolute value, the image is 0.75 m from the mirror's surface.

Converting 0.75 m to centimeters, we get 75.0 cm.

The image of the shopper is located 75.0 cm from the convex mirror's surface, and it is a virtual image. This calculation utilizes the magnification formula for a convex mirror to determine the distance of the image based on the given magnification and object distance.

To know more about mirror, visit

https://brainly.com/question/1126858

#SPJ11

In your own words, tell me how an element, molecule, and compound are used to make different substances. All three must be mentioned in order to receive full credit.

Answers

Answer:

When atoms from different elements are joined together in groups, they form molecules. The atoms in molecules bind together chemically, which means that the atoms cannot be separated again by physical means, such as filtration. The molecule has different properties from the elements from which is was made.

Explanation:

Atmospheric pressure on the peak of Mt. Everest can be as low as 0.197 atm, which is why
climbers need to bring oxygen tanks for the last part of the climb. If the climbers carry 10.0
liter tanks with an internal gas pressure of 40 atm, what will be the volume in liters of the gas
when it is released from the tanks?

Answers

Answer:2,030

Explanation:

40 atm x 10.0 L = 400

400/0.197 atm = 2,030

The density of water is 1. 0 g/cm3. How many kilograms of water does a submerged 120-cm3 block displace? Recall that 1. 0 g/cm3 weights 9. 8 N on earth. What is the buoyant force on the block?

Answers

The density of water is 1.0 g/cm³. It's required to determine the mass of water displaced by a submerged 120-cm³ block and the buoyant force on the block.To find the mass of water displaced by a 120 cm³ block, we first need to know the mass of 1 cm³ of water, which is equal to its density, which is 1.0 g/cm³.

The volume of the block is 120 cm³, so we can calculate its mass by multiplying its volume by the density of water. Therefore, the mass of the block submerged in water is:120 cm³ × 1.0 g/cm³ = 120 gTo find the number of kilograms, we divide the value obtained by 1000. Therefore, 120 g = 0.12 kg.The buoyant force is equal to the weight of the water displaced by the block. The buoyant force equals the weight of water displaced by the object.

The weight of 1 cm³ of water is 9.8 N (newtons), which is equal to the weight of 1 g of water. We can use this to calculate the weight of water displaced by the block as follows:120 cm³ × 1.0 g/cm³ × 9.8 N/g = 1176 NTherefore, the buoyant force acting on the block is 1176 N (Newtons).

To know more about weight visit :

https://brainly.com/question/31659519

#SPJ11

Explain why locations near the North Pole experience weeks of sunlight in June with no sunsets.

Answers

Answer:

It happens because the Earth is tilted on its axis around 23 degrees therefore the sun normally never sets at north Pole in summers. The sun doesn't set at Arctic Circle on North pole from about April 19 to August 23 each year due to this phenomenon.

A container of carbon dioxide has a volume of 315 cm³ at a temperature of 25°C if the pressure remains constant what is the volume of 54°C

Answers

Answer:

680.4

Explanation:

the formula is V1 over T1 is equals (=) to V2 over T2 .

and we have been given that

V1 represents 315

T1 represents 25°c

V2 is unknown and what we're finding

T2 represents 54°c

so 315×54 all over 25 ...gives you 680.4

The greater the mass of an object being moved, the greater amount of force needed to move the object,​

Answers

Answer:

It's often called the law of inertia. Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object). ... A more massive object has a greater tendency to resist changes in its state of motion.

Explanation:

Answer: It's often called the law of inertia. Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object). ... A more massive object has a greater tendency to resist changes in its state of motion.

HOPE THIS HELPS

Table is in the picture. and will mark brainstest.
Here is the question
Based on the information in the table, which combination of materials would make the most conductive and best insulated wire?
A) A zinc wire with glass insulation
B) A copper wire with rubber insulation
C) A plastic wire with plastic insulation
D) An aluminum wire with plastic insulation​

Answers

B. A copper wire with rubber insulation

In the space provided, write either TRUE or FALSE.

(a) Intheequationf(x)=mx+b,thevariablebrepresentstheslope.

(b) The graph of a linear function is always a straight line.



(c) The domain of the function y = 3 − x is the set of all real numbers less

than or equal to 3.

(d) The operation of function composition is commutative. That is, for all

functionsf andg,itistruethatf◦g=g◦f.

Answers

A.  FALSE. In the equation, 'b' represents the y-intercept not slope.

B. TRUE. The graph of a linear function is always a straight line.

C. FALSE. The domain of the function y = √3 − x is the set of all real numbers greater than or equal to 3.
D. FALSE. The operation of function composition is not commutative

What should you know about function composition?

The operation of function composition is not generally commutative. For functions f and g, it's not necessarily true that f(g(x)) = g(f(x)). The order in which functions are composed can affect the result.

The domain of the function y = √(3 - x) is the set of all real numbers less than or equal to 3.

This is because for the expression under the square root to be non-negative (and thus yield a real number as output), x must be less than or equal to 3.

However, if the expression was y = √3 - x, it would have a different meaning, and the domain would be all real numbers, because √3 is a constant, and subtracting any real number x from a constant yields a real number

Find more exercises on  function composition;

https://brainly.com/question/30143914

#SPJ1

Which answer below is not a statement of the second law of thermodynamics? a. Real processes proceed in a preferred direction. b. In theory, heat engines working in a cycle employ reversible processes. c. The entropy of the universe increases in all natural processes d. Energy does not flow spontancously by heat from a cold to a hot reservoir. You cannot construct a heat engine operating in a cycle that does nothing but take heat from a reservoir and perform an equal amount of work

Answers

The answer that is not a statement of the second law of thermodynamics is d. Energy does not flow spontaneously by heat from a cold to a hot reservoir.

Options a, b, and c all reflect different aspects of the second law of thermodynamics, such as the preferential direction of real processes, the increase of entropy in natural processes, and the limitation on constructing a heat engine that only performs work without rejecting any heat to a colder reservoir.

However, option d contradicts the second law by suggesting the spontaneous flow of heat from a cold to a hot reservoir, making it the answer that is not a statement of the second law of thermodynamics.

To know more about second law of thermodynamics, visit,

https://brainly.com/question/30600157

#SPJ4

You throw a baseball with a mass of 0.5 kg. The ball leaves your hand with a speed of 35 m/s. Calculate the kinetic energy. (SHOW ALL WORK)

Answers

Answer:

The kinetic energy of the baseball is 306.25 joules.

Explanation:

SInce the baseball can be considered a particle, that is, that effects from geometry can be neglected, the kinetic energy ([tex]K[/tex]), in joules, is entirely translational, whose formula is:

[tex]K = \frac{1}{2}\cdot m\cdot v^{2}[/tex] (1)

Where:

[tex]m[/tex] - Mass, in kilograms.

[tex]v[/tex] - Speed, in meters per second.

If we know that [tex]m = 0.5\,kg[/tex] and [tex]v = 35\,\frac{m}{s}[/tex], then the kinetic energy of the baseball thrown by the player is:

[tex]K = \frac{1}{2}\cdot m \cdot v^{2}[/tex]

[tex]K = 306.25\,J[/tex]

The kinetic energy of the baseball is 306.25 joules.

Light falling on a metal surface causes electrons to be emitted from the metal by the photoelectric effect.
As we decrease the frequency of this light, but do not vary anything else (there may be more than one correct answer),
A: the number of electrons emitted from the metal increases.
B: the maximum speed of the emitted electrons decreases.
C: the maximum speed of the emitted electrons does not change.
D: the work function of the metal increases.
Enter the letters of all the correct answers in alphabetical order. Do not use commas. For instance, if you think assumptions B and D are required, enter BD.

Answers

B: the maximum speed of the emitted electrons decreases.

The photoelectric effect is the phenomenon where electrons are emitted from a metal surface when light of sufficient energy, or frequency, falls on it. The energy of a photon of light is directly proportional to its frequency (E = hf), where h is Planck's constant and f is the frequency of the light.

When the frequency of the incident light is decreased, the energy of each photon decreases. According to the photoelectric effect equation (E = hf = Φ + 1/2mv²), where Φ is the work function of the metal and v is the speed of the emitted electron, if the energy of the incident photon is lower than the work function, no electrons will be emitted.

Since the frequency of the light is directly related to its energy, decreasing the frequency decreases the energy of the photons. Consequently, fewer electrons will have sufficient energy to overcome the work function and be emitted from the metal. Therefore, the number of electrons emitted from the metal decreases.

Furthermore, the maximum speed of the emitted electrons is determined by the energy of the incident photons. With decreased frequency and lower energy photons, the maximum kinetic energy of the emitted electrons decreases. As kinetic energy is directly proportional to the square of the velocity (1/2mv²), the maximum speed of the emitted electrons decreases.

The correct answer is B: the maximum speed of the emitted electrons decreases. As the frequency of the incident light is decreased, the number of electrons emitted from the metal also decreases, and the maximum speed of the emitted electrons decreases due to the lower energy of the incident photons.

To know more about electrons visit :

https://brainly.com/question/860094

#SPJ11

a particular can of soda has an internal absolute pressure of 3.0 atm. 11. if the can were located at sea level, what is the gauge pressure, in atm, that someone would measure for the can?

Answers

The gauge pressure that someone would measure for the can of soda located at sea level is 2.0 atm.

Gauge pressure is the pressure measured relative to atmospheric pressure. At sea level, the atmospheric pressure is approximately 1.0 atm. To find the gauge pressure, we subtract the atmospheric pressure from the internal absolute pressure.

Gauge pressure = Internal absolute pressure - Atmospheric pressure

Given that the internal absolute pressure is 3.0 atm and the atmospheric pressure is 1.0 atm, we can substitute these values into the equation:

Gauge pressure = 3.0 atm - 1.0 atm = 2.0 atm

If the can of soda is located at sea level, someone would measure a gauge pressure of 2.0 atm. Gauge pressure represents the pressure above or below atmospheric pressure, and in this case, the can has an internal pressure that is 2.0 atm higher than the atmospheric pressure at sea level.

To know more about pressure visit :

https://brainly.com/question/28012687

#SPJ11

a car moving south speeds up from 10 m/s to 40 m/s in 15 seconds. what is the car’s acceleration?2 m/s215 m/s230 m/s250 m/s2

Answers

The acceleration of this car include the following: A. 2 m/s².

How to calculate the acceleration of this car?

In Science, the acceleration of a car can be calculated by using this mathematical expression:

a = (V - U)/t

Where:  

a represents the acceleration measured in meters per seconds square (m/s²).V represents the final velocity measured in meters per seconds (m/s).U represents the initial velocity measured in meters per seconds (m/s).t represents the time measured in seconds.

By substituting the given parameters into the acceleration formula, we have;

Acceleration, a = (40 - 10)/15

Acceleration, a = 30/15

Acceleration, a = 2 m/s².

Read more on acceleration here: brainly.com/question/24728358

#SPJ4

How are wavelength, pitch, frequency, and energy all related?

Answers

Answer:

he word that musicians use for frequency is pitch. The shorter the wavelength, the higher the frequency, and the higher the pitch, of the sound. In other words, short waves sound high; long waves sound low. ... In other words, it sounds higher

Explanation:

Other Questions
I will give 50 points for the answer A valid call to the following method using a params parameter is:public static void DoSomething(params int[ ] item)a. DoSomething(4);b. DoSomething(anArray);c. DoSomething(4, 5, 6);d. a and c are correcte. all are correct Please help i am giving away brainliestRead the following scenario and develop your argument. Then, jot down three reasons to support your argument.Your state legislature is thinking about passing a law that says teens cant drive until they are 18. You want to write a letter to convince your state senator to vote against the idea.Write three reasons that support your argument for or against this.No dam links Can someone help me with this. Will Mark brainliest. the measurement of the matter in the universe is called What is the importance of using locally available resources in creating art? Wright Corp. is considering the purchase of a new piece of equipment, which would have an initial cost of $1,000,000 and a 5-year life. There is no salvage value for the equipment. The increase in cash flow each year of the equipment's life would be as follows: Year 1 $ 379,000 Year 2 $ 354,000 Year 3 $ 289,000 Year 4 $ 234,000 Year 5 $ 189,000 What is the payback period what is an ecosystem? Sales revenuemay be recorded before cash is collected.will always equal cash collections in a month.only results from credit sales.is only recorded after cash is collected. Which is a reason that Mexico and the U.S went to war?A. The election of James k. PolkB. The U.S congress annexing (adding) Texas C. The U.S invasion of California D. The assassination of the president 1.Old museums have always excited my.because you never know what you will find there.innocencecuriosityignoranceloneliness2.I love all the noise and excitement of living in a crowded, city.dullbustlingabandonediconic Click this link to view O'NET's Skills section for Emergency Medical Technicians. According to O'NET, what aresome of the technology skills needed by Emergency Medical Technicians? Consider the following system of equations. 2x + 3y = 12 -4x + 5y = -4 Which of the following equations could be used to create an equivalent system (a system with the same solution)? Select all that apply. A. -8x + 10y = -4 B. -2x + 8y = 8 C. 6x + 9y = 36 D. 6x - 2y = 8E. x + 3/2y = 6 Consider the following information for Vine Inc.: Beta: 1.39 Risk-free rate: 7% Return on market portfolio: 18% Company tax rate: 40% What is the cost of the common equity of Vine Inc.? Group of answer choices 22.29% 32.02% 19.21% 1/4(16p+8) 2(p+2)someone help Write the Algebraic expression for six more three times a number n I need help with this question, thank you. If you cannot see just use the zoom in option A firm has issued cumulative preferred stock with a $100 par value and a 10 percent annual dividend. For the past three years, the board of directors has decided not to pay a dividend. At the end of the current year, the preferred stockholders must be paid ________ prior to paying the common stockholders. Please help, will mark brainliest. It is easy and urgent.Given the figure below, how many planes contain the points Z,V, and Y HELP!!!!! URGENT!!! A student surveyed his classmates to determine their favorite sport. According to the circle graph which statement must be true?