What is the frequency of a microwave that has a wavelength of 0.050 m?

Answers

Answer 1

Answer:

[tex]6x10^9Hz[/tex]

Explanation:

we use a formula that relates the frequency and the wavelength:

[tex]f=\frac{c}{\lambda}[/tex]

where [tex]f[/tex] is the frequency of the wave, [tex]c[/tex] is the speed of light [tex]c=3x10^8m/s[/tex], and [tex]\lambda[/tex] is the wavelength.

We know that the wavelength is: [tex]\lambda=0.050m[/tex], so substituting the known values in the equation for the frequency we get:

[tex]f=\frac{3x10^8m/s}{0.05m} \\f=6x10^9s^{-1}=6x10^9Hz[/tex]

The frequency is:

[tex]6x10^9Hz[/tex]

Answer 2

Final answer:

The frequency of a microwave with a wavelength of 0.050 m is [tex]6*10^9[/tex] Hz, or 6000 MHz, calculated using the speed of light and the wavelength-to-frequency formula.

Explanation:

To calculate the frequency of a microwave that has a wavelength of 0.050 m, you can use the formula

c = λf, where c is the speed of light in a vacuum (approximately [tex]3*10^8[/tex] m/s), λ is the wavelength, and f is the frequency. Solving for f, the equation becomes

f = c / λ.

Let’s plug in the values:

f = ([tex]3*10^8[/tex] m/s) / (0.050 m)

After calculating, the frequency f is [tex]6*10^9[/tex] Hz, or 6000 MHz.


Related Questions

The radius of each wheel on a bicycle is 0.400 m. the bicycle travels a distance of 3.0 km. assuming that the wheels do not slip, how many revolutions does each wheel make?

Answers

Final answer:

To find the number of revolutions a bicycle wheel makes over 3.0 km, we calculate the wheel's circumference, convert total distance to meters, and then divide the distance by the circumference. The result is approximately 1194 revolutions.

Explanation:

The student is asking about the number of revolutions each wheel of a bicycle makes when it travels a certain distance. Given that the radius of each wheel is 0.400 meters and the bicycle travels a distance of 3.0 kilometers, we can use the relationship between the circumference of the wheel and the total distance traveled to calculate the number of revolutions.

To find the number of revolutions, we first calculate the circumference of the wheel using the formula C = 2πr, where r is the radius of the wheel. Then, we convert the total distance traveled from kilometers to meters. Finally, we divide the total distance traveled by the circumference of the wheel to get the number of revolutions.

Step-by-step calculation:

Calculate the circumference of the wheel: C = 2π(0.400 m) = 2.513 m

Convert the distance traveled to meters: 3.0 km = 3000 m

Calculate the number of revolutions: (3000 m) / (2.513 m/revolution) ≈ 1194 revolutions

Each wheel makes approximately 1194 revolutions as the bicycle travels 3.0 kilometers.

How many workers are injured in scaffold falls each year

Answers

According to OSHA, it's about 4,500 injured and 60 deaths yearly

Part 1: The following questions refer to the motion of a baseball. Call towards home plate positive and towards the outfield negative. While being thrown, a net force of 125 N acts on a baseball (mass = 141 g) for a period of 0.04 sec. What is the magnitude of the change in momentum of the ball?
Part 2: If the initial speed of the baseball is v = 0.0 m/s, what will its speed be when it leaves the pitcher's hand?
Part 3: When the batter hits the ball, a net force of 1165 N, opposite to the direction of the ball's initial motion, acts on the ball for 0.005 s during the hit. What is the final velocity of the ball?

Answers

These are three questions and three answers

1. Question 1.


Part 1:

Answer: 5 N*s

Explanation:

Data:

F = 125 N
m = 141 g = 0.141 kg
t = 0.04 s

Δp =?

2) Formula

Impulse = F.t =

Impulse = Δp

3) Solution:

=> Δp => F.t

Δp = 125 N * 0.04 s = 5 N.m


2) Question 2

Part 2
: If the initial speed of the baseball is v = 0.0 m/s, what will its speed be when it leaves the pitcher's hand?

Answer: 35.5 m/s positive (toward the homelate)

Explanation:

1) Data:
vi = 0.0 m/s
vf = ?

2) Formula

Δp = mΔv

3) Solution:

Δv = Δp / m

Δv = 5 N*s / 0.141 kg = 35.5 m/s

Δv = vf - vi => vf = Δv + vi = 35.5 m/s + 0 = 35.5 m/s, positive because it is toward the homeplate.

3) Question 3

Part 3: When the batter hits the ball, a net force of 1165 N, opposite to the direction of the ball's initial motion, acts on the ball for 0.005 s during the hit. What is the final velocity of the ball?

Answer: - 76.8 m/s (negative because it is towards the field)

Explanation:

1) Data:

F = 1165 N
t = 0.005 s
vf = ?

2) Formulas

I = f.t

I = Δp

Δp = mΔv

3) Solution

I = F.t = 1165 N * 0.005s = 5,825 N*s

Δp = I = 5,825 N*s

Δp = mΔv => Δv = Δp / m = 5,825 N*s / 0.141 kg = 41.3 m/s (negative because it is towards the field)

Δv = vf - vi => vf = Δv + vi = - 41.3 m/s - 35.5 m/s = - 76.8 m/s

How do particles move differently in transverse waves and in surface water waves?

Answers

The particles always move parallel and perpendicular to the waves. The waves which are in the water moves a circle. Both up and down and back and forth.

Good luck :)

In transverse waves, particles move perpendicularly to the wave's direction, while in surface water waves, they follow circular orbits due to a combination of longitudinal and transverse motions. The size of these orbits decreases with depth, and a slight horizontal movement called Stokes drift occurs after each wave crest passes.

Particle Movement in Different Waves

In transverse waves, particles move in a direction perpendicular to the propagation of the wave. Examples of transverse waves include vibrations in a stretched string or ripples on the surface of water when viewed from the side. However, the surface water waves present a more complex motion. Particles in these waves move in circular orbits, which is a combination of longitudinal (back and forth) and transverse (up and down) motions.

Water waves are created when wind transfers energy to the water surface, leading to the oscillatory motion of water particles. The size of these circular orbits decreases as the depth increases. In deep water, particles move in closed circular paths, whereas in shallow water, their motion is elliptical due to the compression of the wave's energy.

Moreover, water waves display a phenomenon called Stokes drift, where particles are slightly displaced horizontally after the passage of each wave crest. This accounts for the small forward movement observed alongside the predominant up and down movement of the particles in the wave.

Most ocean waves obtain their energy and motion from _____. the moon's gravitational attraction the sun plate movement the wind

Answers

Hello!

Most ocean waves obtain their energy and motion from the wind.

Ocean waves are surface waves that move across the surface of the ocean. When wind touches the surface of the water, there is friction in the contact zone. This friction causes a drag effect, that makes wrinkles on the surface of the water. As the wrinkles get bigger, they transform into full-blown waves, and the taller the wave, the more energy it can extract from the wind, making them even bigger and to move longer distances. 

Have a nice day!


Answer:

The Wind

Explanation:

Lucas plugs a lamp into the wall. The light bulb in the lamp turns on. What kind of energy transformation is this

Answers

A light bulb converts electric energy into heat and light energy, but it is different when you are using solar energy.Not that different though, the solar energy turns into electric energy that converts into heat and light energy.

Answer:

Electric energy from the outlet transforms to radiant energy and thermal energy in the lightbulb.

Explanation:

There is a 120 V circuit in a house that is a dedicated line for the dishwasher, meaning the dishwasher is the only resistor on that circuit line. If the dishwasher draws 18 A of electricity, what would the resistance of the dishwasher be? Round the answer to the nearest hundredth of an ohm.

Answers

The answer is 
6.67 Ohms (I tried to find the ohms sign but it looks like the lululemon logo)

Answer : Resistance of the dishwasher is 6.67 ohms.

Explanation :

It is given that,

Total voltage flowing in a house, V = 120 V

Current flowing, I = 18 A

According to Ohm's law :

V = I R ...........(1)

R is the resistance of the circuit.

Putting all values in (1) we get :

[tex]R=\dfrac{V}{I}[/tex]

[tex]R=\dfrac{120\ V}{18\ A}[/tex]

[tex]R=6.666\ \Omega[/tex]

or

[tex]R=6.67\ \Omega[/tex]

So, the resistance of the dishwasher is [tex]R=6.67\ \Omega[/tex].





Which of these alkali metals has the largest atomic radius?
A) Cs
B) Fr
C) Li
D) Na

Answers

B is true
because it has 7 orbits(just like the picture)so it has the largest atomic radius

Answer:

B

Explanation:

Fr

A mass m1 = 3.5 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m2 = 4.8 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.71 m.

1) How much work is done by gravity on the two block system?
34 J (All of my answers are correct up to the last question, which I need help on)

2) 2) How much work is done by the normal force on m1?
0 J

3) What is the final speed of the two blocks?
2.84 m/s

4) How much work is done by tension on m1?
14.1 J

5) What is the tension in the string as the block falls?
19.9 N

7) What is the NET work done on m2?
**** This is the question I need help on. I gave the answers to the previous questions because something in there might be needed for solving this part of the problem.

Answers

1) 33.4 J 
In the described system, the only available energy is the potential gravitational energy for mass m2. So: 0.71 m * 9.8 m/s^2 * 4.8 kg = 33.3984 kg*m^2/s^2 = 33.3984 J 
 2) 0 J
 Since the table is frictionless and the normal force is towards the table's surface, there is no movement or work done via the normal force on m1. So 0 joules of work is done. 
 3) 2.84 m/s
 Using the equation E = 0.5MV^2 and the knowledge that E = 33.3984 J from 1 above, we get
 33.3984 kg*m^2/s^2 = 0.5*(3.5 kg + 4.8 kg)V^2
 33.3984 kg*m^2/s^2 = 0.5*8.3 kg V^2
 33.3984 kg*m^2/s^2 = 4.15 kg V^2
 8.047807229 m^2/s^2 = V^2
 2.83686574 m/s = V 
 4) 14.1 J
 Using the equation E = 0.5MV^2 and the known velocity, we get
 E = 0.5MV^2
 E = 0.5*3.5kg* (2.84 m/s)^2
 E = 0.5*3.5kg* 8.0656 m^2/s^2
 E = 14.1148 kg*m^2/s^2
 E = 14.1 J 
 5) 19.9 N
 The tension in the string is the force needed to perform 14.1 J over a distance of 0.71 m. So:
 14.1 J / 0.71 m = 19.88 J/m = 19.88 kg*m/s^2 = 19.88 N 
 7) 19.3 J
 The NET work is the GROSS work performed on m2 minus the work that m2 performed. The gross work is given by 1 above (33.4 J) minus the work performed on m1 given by 4 above (14.1 J). So the net work is 33.4 - 14.1 =
19.3 J
 You can also calculate the net work performed on m2 using the equation E = 0.5MV^2, so
 E = 0.5MV^2
 E = 0.5*4.8 kg * (2.84 m/s)^2
 E = 0.5*4.8 kg * 8.0656 m^2/s^2
 E = 19.35744 kg*m^2/s^2
 E = 19.4 J
 And as you can see, the kinetic energy that m2 has matches the NET work performed on m2, which makes sense since energy can be neither created, nor destroyed.

In this exercise we have to use the block knowledge in a system, thus we find that:

1) 33.4 J

2) 0J

3) 2.84 m/s

4) 14.1 J

5) 19.9 N

6) 19.3 J

So with the knowledge of force and energy we can calculate what is required, like this:

1) We have to calculate the value of work in the system which will be:

[tex]W=FS\\W=0.71 m * 9.8 m/s^2 * 4.8kg\\ = 33.3984 kg*m^2/s^2 \\= 33.3984 J \\=33.4 J[/tex]

2) As we are dealing with the work of the normal force, we will have to be zero, since the force will not have a distance, so:

[tex]W=FS\\W=35*0\\W=0J[/tex]

3) We want to calculate the final speed of the system as a whole, so:

[tex]E = 0.5MV^2 \\E = 33.3984 J\\ 33.3984 = 0.5*(3.5 + 4.8 )V^2\\ 33.3984 = 0.5*8.3 *V^2\\ 33.3984 = 4.15*V^2\\ 8.047807229 = V^2\\V= 2.83686574 m/s\\V=2.84 m/s[/tex]

4) We want to find the work of the voltage in this way we have:

[tex]E = 0.5MV^2\\ E = 0.5*3.5kg* (2.84 m/s)^2\\ E = 0.5*3.5kg* 8.0656 m^2/s^2\\ E = 14.1148 kg*m^2/s^2\\ E = 14.1 J[/tex]

5) Now calculating the value of the string tension, we have:

[tex]T= 14.1 J / 0.71 m \\= 19.88 J/m\\= 19.88 kg*m/s^2\\ = 19.88 N[/tex]

6) Calculating the value of work on top of block 2 we have:

[tex]E = 0.5MV^2\\ E = 0.5*4.8 kg * (2.84 m/s)^2\\ E = 0.5*4.8 kg * 8.0656 m^2/s^2\\ E = 19.35744 kg*m^2/s^2\\ E = 19.4 J[/tex]

See more about work at brainly.com/question/756198

Physics Review Questions. Please help quickly!!
Will give medal to best answer!
A pitcher exerts 100.0 N of force on a ball with a velocity of 45 m/s. What is the pitcher's power?

A 50.0 kg sailor climbs a 28.3 m rope ladder at an angle of 45 degrees with the mast. How much work did he do?

An inclined plane is 5.00 m long and 2.00 m high. What is the ideal mechanical advantage of this machine?

A sailboat moves north for a distance of 10.00 km when blown by a wind 30 degrees east of south with a force of 5.00 x 10^4 N. How much work was done by the wind?

Answers

1) Using definitions:
Power = Work÷time = (Force×displacement)÷time = Force×velocity
Therefore:
P = F × v = 100.0 × 45.0 = 4500 W

2) The active force is the vertical component of the weight:
F = m · g · sinα = 50 · 9.8 · sin(45) = 346.5N
 
Work is Force times displacement:
W = F · d = 346.5 · 28.3 = 9806J

3) The mechanical advantage of an inclined plane is the ratio between the length and the height of the plane:
MA = l / h = 5 / 2 = 2.5

4) To find the displacement due to the wind, you need to draw the vectors; you will find a triangle rectangle on which you know one angle and the adjacent side and you need to find the hypotenuse. Using trigonometry:
h = a / cosα = 10 / cos(30) = 11.5km = 1.15×10⁴m

You can now find the Work:
W = F · d = 5.00×10⁴ · 1.15×10⁴ = 5.75×10⁸J


A car is traveling at 52.0 mi/h on a horizontal highway. (a) if the coefficient of static friction between road and tires on a rainy day is 0.102, what is the minimum distance in which the car will stop? m (b) what is the stopping distance when the surface is dry and µs = 0.603? m

Answers

Final answer:

To find the minimum stopping distance, we use the formula d = v² / (2 · μ_s · g), considering the speed and the coefficient of static friction. For wet conditions (μ_s = 0.102), the stop distance is 27.8 meters, and for dry conditions (μ_s = 0.603), it is 4.6 meters.

Explanation:

To calculate the minimum stopping distance of a car traveling at 52.0 mi/h (which converts to approximately 23.2 m/s) on a horizontal highway, we can use the formula for stopping distance based on the coefficient of static friction ( μ_s ) and the deceleration rate:

d = v² / (2 · μ_s · g), where v is the initial speed in m/s, μ_s is the coefficient of static friction, and g is the acceleration due to gravity (9.8 m/s²).

(a) On wet concrete, where μ_s = 0.102, the minimum stopping distance is:

d = (23.2²) / (2 · 0.102 · 9.8) = 27.8 meters

(b) On dry concrete, where μ_s = 0.603, the minimum stopping distance is:

d = (23.2²) / (2 · 0.603 · 9.8) = 4.6 meters

These calculations provide an understanding of the significance of road conditions on stopping distances, emphasizing the increased risk associated with wet roads.

Awanita is placing items on a shelf that is 200 cm above the ground. She exerts a force of 20 N to lift a box from the floor to the shelf. She does this in 5 s. What is Awanita’s power output? (Power: P = W/t)

Answers

the answer is 8 W. hope it helps

Answer:

Awanita's power output is 8watts

Explanation:

First we find workdone= Force × distance

Given: F=20N , d= 200cm converting to meter: (200/100)m=2m

W= 20×2=40Joules

Power,P= workdone/ time

Given: time=5seconds

P= 40/5= 8 watts

Water's heat of fusion is 80 cal/g. Its specific heat is 1.0 cal/g degrees celsius, and its heat of vaporization is 540 cal/g.
A canister is filled with 330g of ice and 100g of liquid water, both at 0 degrees celsius. The canister is placed in an oven until all the water has boiled off and the canister is empty. How much energy in calories was absorbed?

Answers

First, write out the process of heat absorption: 
 Ice --(heat of fusion)--> Water at 0 degreesC --(specific heat)--> Water at 100 degrees C --(heat of vaporization)--> steam 
 (330 g ice)(80 cal/g) = 26,400 cal
 Now there are 430 g of liquid water at 0 degrees C. 
 (430 g liquid water)(1 cal/gC)(100 C - 0 C) = 43,000 cal
 (430 g liquid water)(540 cal/g) = 232,200 cal 
 In total, 
 26,400 + 43,000 + 232,200 = 3 x 10^5 cal

Angular velocity and linear velocity have the same dimensions. This statement is:
a. true
b. false
c. sometimes true sometimes false. it varies

Answers

I think it would be C: Sometimes true and sometimes false. It varies.

Hope this helped, have a great day! :D

Which of the following statements is true about a current-carrying wire in a magnetic field? @Somy
A. Reversing the current direction will cause the force deflecting the wire to be parallel to the magnetic field.

B. Reversing the current direction will cause the force deflecting the wire to be perpendicular to the magnetic field but in the opposite direction.

C. Reversing the current direction will not affect the force deflecting the wire.

Answers

B. Reversing the current direction will cause the force deflecting the wire to be perpendicular to the magnetic field but in the opposite direction.

A 15-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 23 n. starting from rest, the sled attains a speed of 1.8 m/s in 8.5 m. find the coefficient of kinetic friction between the runners of the sled and the snow.

Answers

We know the relationship between distance traveled and velocity obtained under acceleration a:
[tex]a=\frac{v^2}{2S}=\frac{1.8^2}{2\cdot8.5}=0.19\frac{m}{s^2}[/tex]
We know from second Newtons law that net force acting on the object is proportional to its mass and acceleration:
[tex]F_n=ma[/tex]
The net force acting on the sledge is:
[tex]F_p-F_f=ma\\ F_f=F_p-ma\\ \mu mg=F_p-ma\\ \mu=\frac{F_p-ma}{mg}\\ \mu=\frac{23-15\cdot0.19}{15\cdot 9.81}=0.14[/tex]

Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements? a.Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship. b.Lisa is correct because light travels through air at the fastest speed, and speed and frequency have a direct relationship. c.Neither person is correct because light does not change frequency when it travels through different media. d. Both people are correct because light has both an inverse and a direct relationship with frequency, depending on the media.

Answers

The correct answer is
c) Neither person is correct because light does not change frequency when it travels through different media

In fact, light changes both wavelength and speed when it travels through different media, but the frequency remains the same.

Neither person is correct because light does not change frequency when it travels through different media.

Which actions most likely cause the domains in a ferromagnetic material to align?
Check all that apply.
- heating the material
- rubbing the material against a magnet
- passing electricity around the material
- placing the material in a magnetic field of opposite polarity
- placing the material near a strong magnet
- hitting the material

Answers

Answer:

A ferromagnetic material is a temporary magnet. The domains in a ferromagnetic material are randomly arranged. Under certain actions, the domains align in a particular direction and the material acts as a magnet. The actions that can cause alignment of domains in a ferromagnetic material are:

rubbing the material against a magnet would cause the alignment of domains in the same direction as of the magnet. passing electricity around the material would generate magnetic field which would cause domains to align along the direction of the field. placing the material near a strong magnet would cause the alignment of domains in the direction of the field generated by the strong magnet.

Other actions like heating the material,  placing the material in a magnetic field of opposite polarity and hitting the material would lead to demagnetization of the magnetic material.

Answer:

2,3, and 5

Explanation:

Edg 2022

What is the specific heat of the solid phase?

If you could just explain to me how I get it, it'd be great

Answers

Specific heat is the amount of energy required to raise a certain amount (by mass or moles) by a certain temperature (usually 1 degree Kelvin). The overall units of specific heat are usually Joules/(kg*K), which uses kilograms and temperature Kelvin. The full equation is:  
energy = (mass)x(temperature)x(specific heat) 
 You need to know three of the variables above to solve the equation.

How much force is required to accelerate a 2kg mass at 3 m/s2? answer key?

Answers

F = ma so u can plug in the given numbers and solve:

F = (2)(3)

Using Newton's second law of motion, the force required to accelerate a 2kg mass at 3 m/s² is 6 Newtons.

To calculate the force required to accelerate a 2kg mass at 3 m/s², we can use Newton's second law of motion, which states that the force is equal to mass times acceleration (F = m imes a). Therefore, the force (F) required is:

F = 2kg imes 3 m/s² = 6 N

This means that a force of 6 Newtons is needed to accelerate the 2kg mass at the specified rate.

Please help! Will give Brainliest!!! Describe where to look on the Periodic Table to find elements which have similar reactivity and other properties. Give an example of three elements that have those similarities.

Answers

In the Periodic Table, elements with similar reactivity and similar properties are found under the same column.
In fact, elements in the same columns are said to be in the same "group", and they have the same number of valence electrons, i.e. the same number of electrons in the outermost shell. This is the main characteristics that determine how an element reacts with other elements.
For instance, Litium (Li), sodium (Na) and potassium (K) are all in the first group, and they both have 1 valence electrons. This means they can easily give away this electron to an atom of another element forming bonds with it, and therefore they have high reactivity. Instead, elements of the 8th group are called "noble gases", and they all have similar properties: they all have the outermost shell full of eletrons, so they have zero valence electrons and so they have little or no reactivity at all. Example of elements in this group are Neon (Ne) and Argon (Ar).

Potential energy is the energy possessed by an object due to its ___ and kinetic energy is the energy an object has a result of its __

Answers

1)due to it's position in the gravitational field
2)due to it's motion

Potential energy is the energy possessed by an object due to its Position or Shape and kinetic energy is the energy an object as a result of its Motion.

We see, the stored water in a dam is the potential energy and when the same water falls to move the turbine, it transforms or changes into Kinetic energy.

Which is not true of the weak nuclear force?

A. It is a repellent force.

B. It acts over a shorter range than the strong nuclear force.

C. It is an attractive force.

D. It is weaker than the strong nuclear force.

Answers

The answer is A. The weak nuclear force is usually an attractive force, and the other two answer choices are, indeed, true of the weak nuclear force.

Answer: Option (A) is the correct answer.

Explanation:

A force that helps in binding protons and neutrons together in a nucleus is known as nuclear force. It is known that neutrons have no charge whereas protons have positive charge and like charges repel each other but due to the strong nuclear force which over powers the repulsion force between protons, they are held together in a nucleus.

A weak nuclear force is weaker than the strong nuclear force. Also, it acts over a shorter range than the strong nuclear force. A weak nuclear force is also attractive in nature.

But a weak nuclear force is not repellent in nature.

Thus, we can conclude that a weak nuclear force is a repellent force is not true.

A 5.00-a current runs through a 12-gauge copper wire (diameter 2.05 mm) and through a light bulb. copper has 8.5 * 1028 free electrons per cubic meter. (a) how many electrons pass through the light bulb each second

Answers

The correct answer is: [tex]3.125*10^{19}[/tex] electrons/second

Explanation:

5A current is passing through the copper wire and the light bulb; it means that 5 Coulombs of charge per second is passing through the wire (as current = coulombs/second). To find the electrons per second, the following formula is used:

Electrons per second = [tex]n_e=\frac{5}{e}=\frac{5}{ 1.60\cdot 10^{-19}}=3.125*10^{19}[/tex]

Answer:

[tex]\frac{dN}{dt} = 3.125 \times 10^{19}[/tex] electrons per second

Explanation:

As we know that electric current is defined as rate of flow of electric charge

so here we will have

[tex]i = \frac{dq}{dt}[/tex]

here we know that

[tex]q = Ne[/tex]

now from above equation

[tex]i = e\frac{dN}{dt}[/tex]

here we know

[tex]\frac{dN}{dt}[/tex] = number of electrons passing per second

e = charge of an electron

i = 5.00 Ampere

now from above equation we have

[tex]\frac{dN}{dt} = \frac{i}{e} [/tex]

[tex]\frac{dN}{dt} = \frac{5}{1.6 \times 10^{-19}}[/tex]

[tex]\frac{dN}{dt} = 3.125 \times 10^{19}[/tex]

so above is the total number of electrons passing through wire per second

Motion of a light source, like stars in distant galaxies, causes the spectral lines to shift positions as well. An object's motion causes a wavelength shift Δλ = λnew - λres. The amount of shift in the spectral lines can tell astronomers how galaxies are moving relative to our position on Earth. The wavelength shift depends on

Answers

the speed and direction the object is moving.


The Answer is A)

ON USAtestprep

Acceleration involves a change in speed or...

Answers

Acceleration involves a change in speed or force

Answer:

Direction

Explanation:

A coin slides over a frictionless plane and across an xy coordinate system from the origin to a point with xy coordinates (3.30 m, 5.20 m) while a constant force acts on it. the force has magnitude 9.70 n and is directed at a counterclockwise angle of 111.° from the positive direction of the x axis. how much work is done by the force on the coin during the displacement?

Answers

Work = force x distance x cos (theta) where theta is the angle between the force and the direction of motion 

component of force in x direction = 9.70N cos 111 = -3.48 N
component of force in y direction = 9.70 sin 111 = 9.06 N

Adding the two = -3.48 x 3.30 m + 9.06N x 5.20 m

= 11.484 + 47.112

= 58.60 Joules

Two straight roads diverge at an angle of 45°. two cars leave the intersection at 2:00 p.m., one traveling at 36 mi/h and the other at 52 mi/h. how far apart are the cars at 2:30 p.m.?

Answers

Let's take the x-axis as the direction of car 1, which is traveling at speed [tex]v_1 = 36 mi/h[/tex]. Car 2 is traveling at speed [tex]v_2 = 52 mi/h[/tex] in a direction of [tex]\alpha = 45 ^{\circ}[/tex] with respect to the x-axis.

Let's start by finding the distance covered by the two cars in between 2.00 pm and 2.30 pm, so in 30 minutes. We can write 30 minutes as 0.5 hours, so [tex]t=0.5 h[/tex]. The distance covered by the two cars is
[tex]S_1 = v_1 t = (36 mi/h)(0.5 h)= 18 mi[/tex]
[tex]S_2 = v_2 t =(52 mi/h)(0.5 h)=26 mi[/tex]
 S1 lies on the x-axis, while we have to decompose S2 on both axes:
[tex]S_{2x}=S_2 \cos \alpha = (26 mi)(\cos 45^{\circ})=18.4 mi[/tex]
[tex]S_{2y}=S_2 \sin \alpha = (26 mi)(\sin 45^{\circ})=18.4 mi[/tex]

Assuming the two cars started their motion from the origin of the axes (0,0), then we can rewrite the final coordinates of the two cars as
- car 1: (18 mi,0)
- car 2: (18.4 mi, 18.4 mi)
And so the distance between the two cars will be
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}= \sqrt{(18.4-18)^2+(18.4-0)^2}= [/tex]
[tex]=18.4 mi[/tex]

The frequency of the middle d note on a piano is 293.66 hz. what is the wavelength of this note in centimeters? the speed of sound in air is 343.06 m/s.

Answers

The relationship between speed, frequency and wavelength of a wave is:
[tex]v=\lambda f[/tex]
where v is the speed, [tex]\lambda[/tex] the wavelength and f the frequency.

In our problem, the frequency of the middle d note is f=293.66 Hz, while the speed of the wave (which is a sound wave) is v=343.06 m/s. Using the previous relationship, we can find the wavelength:
[tex]\lambda= \frac{v}{f} = \frac{343.06 m/s}{293.66 Hz}=1.168 m [/tex]

Converting into centimeters, we have:
[tex]\lambda= 1.168 m =1.168 \cdot 10^2 cm =116.8 cm[/tex]

The wavelength of the middle D note, with a frequency of 293.66 Hz and a speed of sound of 343.06 m/s, is approximately 116.8 cm. The calculation involves dividing the speed of sound by the frequency and converting the result from meters to centimeters.

To find the wavelength of the middle D note on a piano with a frequency of 293.66 Hz in air, where the speed of sound is 343.06 m/s, we can use the formula:

Wavelength (λ) = Speed of Sound (v) / Frequency (f)

First, let's perform the calculation:

Identify the given values:

Frequency (f) = 293.66 Hz

Speed of Sound (v) = 343.06 m/s

Calculate the wavelength:

[tex]\lambda = \frac{v}{f} = \frac{343.06 \, \text{m/s}}{293.66 \, \text{Hz}}[/tex]

  ≈ 1.168 m

Convert the wavelength from meters to centimeters:

1 meter = 100 centimeters

1.168 meters = 1.168 * 100 = 116.8 centimeters

Therefore, the wavelength of the middle D note is approximately 116.8 cm.

A 35-cm-tall, 5.0-cm-diameter cylindrical beaker is filled to its brim with water. what is the downward force of the water on the bottom of the beaker?

Answers

Final answer:

The downward force of the water on the beaker's bottom is its weight, calculated using the beaker's volume, the density of water, and acceleration due to gravity.

Explanation:

The question is asking about the downward force exerted by water on the bottom of a cylindrical beaker. This situation relates to principles in physics around fluid dynamics and specifically Pascal's principle. According to Pascal's principle and the equation for fluid pressure, the downward force exerted by the water (F) is its weight, which can be calculated as the product of the volume of the water, the density of the water, and the acceleration due to gravity (g).

Since the beaker is filled to the brim, the volume (V) of the water is equal to the volume of the cylinder, which can be calculated by the formula V = π(r^2)h, where r is the radius and h is the height of the beaker. The radius can be obtained from the given diameter. If we have the density (ρ) of water and the value for g, we can substitute these in the mentioned equation to get the force F = ρVg.

Finally, using the calculated volume, the known density of water (approximately 1000 kg/m³ for standard conditions), and the standard gravity (approximately 9.8 m/s²), we can find F, which is the downward force from the water on the beaker's bottom.

Learn more about Fluid Dynamics here:

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