The wavelengths of visible light vary from about 300 nm to 700 nm. what is the range of frequencies of visible light in a vacuum?

a) 90 hz to 210 hz
b) 9*10^10 hz to 2.1*10 hz
c) 4.28*10^5 hz to 1*10^6 hz
d) 4.29*10^14 hz to 1*10^15 hz

Answers

Answer 1

The range of frequencies of visible light in a vacuum with wavelength between 300 nm to 700 nm is determined as 4.29 x 10¹⁴ Hz to 1 x 10¹⁵ Hz.

Frequency of the visible light

The frequency of the visible light is determined  by using the following formulas relating speed of light and frequency of light.

c = fλ

where;

c is speed of lightf is frequency of lightλ is the wavelength

Frequency of light at 300 nm wavelength

f = c/λ

f = (3 x 10⁸) / (300 x 10⁻⁹)

f = 1 x 10¹⁵ Hz

Frequency of light at 700 nm wavelength

f = c/λ

f = (3 x 10⁸) / (700 x 10⁻⁹)

f = 4.29 x 10¹⁴ Hz

Thus, the range of frequencies of visible light in a vacuum with wavelength between 300 nm to 700 nm is determined as 4.29 x 10¹⁴ Hz to 1 x 10¹⁵ Hz.

Learn more about frequency of visible light here: https://brainly.com/question/10728818


Related Questions

Who discovered the basic laws of planetary orbits?.

Answers

Answer:

kepler

Explanation:

While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars

The Kelvin scale is also know as the absolute zero
TRUE OR FALSE

Answers

The Kelvin scale is also called absolute zero scale

Explanation:

true

What is fission and how is it related to atomic energy

Answers

Answer:

Fission is the release of atomic energy related to the splitting of nuclei.

M = M1 + M2 + E         where E = m c^2 energy from conversion of mass

if the daughter nuclei are less in total mass than the parent nucleus then the difference is released as atomic energy where E = m c^2 and m is the mass that has been lost in the conversion.

best answer gets brainliest

Answers

Answer:

a because they are bigger and have more mass wich means that they will fall faster because there is more weight going downward...

Explanation:

Beluga

Answer:

Explanation:

It depends on whether this is a "trick" question.

The law of universal gravitation says that the attractive force between two objects depends directly on their masses and inversely to the square of distance in between them.

As the objects in A are bigger than B, they MAY have higher masses. So the force is larger in A.

But no information is given about object mass or density. The distance between objects in B is shorter. So if the objects in B have the same masses those in A, then the force is larger in B.

Which reaction connects the citric acid cycle to the electron‑transport chain and amino acid synthesis?

Answers

Conversion of succinylcoA to succinate is the reaction that link acid cycle to the electron‑transport chain and amino acid synthesis.

Conversion of succinylcoA to succinate

SuccinylCoA is converted into succinate through the hydrolytic release of coenzyme A by succinyl-CoA synthetase Also succinyl-CoA is porphyrin synthesis, where it combine with glycine by ALA synthase to form δ-aminolevulinic acid.

Succinyl CoA is catalytically converted to succinate. The enzyme stimulates the hydrolysis of succinyl CoA into succinate and ATP and this represents a remarkable point of substrate level phosphorylation. After this, it link up to the electron transport chain via citric acid cycle.

Therefore, Conversion of succinylcoA to succinate is the reaction that link citric acid cycle to the electron‑transport chain and amino acid synthesis.

Learn more about Citric acid cycle conversion here.

https://brainly.com/question/11238674

The electron‑transport chain reaction connects the citric acid cycle to the electron‑transport chain and amino acid synthesis.

What is an electron‑transport chain reaction?

The electron transport chain is a set of protein complexes that link redox processes to create an electrochemical potential that leads to the production of ATP in a process known as

Both photosynthesis and cellular respiration occur in mitochondria.

As a result, the process that connects the citric acid cycle to the electron transport chain and amino acid synthesis is succinyl-CoA to succinate conversion.

Hence the electron‑transport chain reaction connects the citric acid cycle to the electron‑transport chain and amino acid synthesis.

To learn more about the electron‑transport chain reaction refer to:

https://brainly.com/question/13975046

#SPJ4

Hello people ~
last one I've got for y'all

Which of the following phenomenon is not explained by Huygen’s wave theory?

⇢Diffraction
⇢Interference
⇢Polarisation
⇢Photoelectric effect​

Answers

Answer:

Photoelectric effect

Explanation:

Photo electric effect was a great invention of Albert EinsteinEinstein got nobel prize for discovering photoelectric effect.

Option D is correct

The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C

Answers

For an interior of a refrigerator has a surface area of 2. 6 m2, The power is  is mathematically given as

P= 71.56W

What is the power?

Generally, the equation for the  Fourier's law  is mathematically given as

H = ∆Q/∆t = k∙A∙∆T/∆x

Therefore

H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m

H= 58.18J/s

For The coefficient of performance(COP)

COP = Q/W = H/P

Therefore

COP = 279.95K/(306.45K - 279.95K)

COP = 10.564

In conclusion

P = H/COP

P= 58.18W / 0.813

P= 71.56W

Read more about Power

https://brainly.com/question/10203153

25 cm 40° 35 N

what's the torque? ​

Answers

Answer:

t = 562.44 Newton centimeters

or

t = 5.62 Newton meters

Explanation:

The eqaution for torque is:

t = rFsin(θ)

We are given r, f, and θ.

Fill in what we know.

t = 25*35*sin(40)

t = 562.44

t = 562.44 Newton centimeters

or

t = 5.62 Newton meters

The car's motor transfers
-----------energy
into useful-----------
energy as the car moves,
Some energy is wasted -----------as
energy

Answers

Answer:

chemical potential

kinetic

thermal

From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:

Answers

Answer:

Label A: Virtual Image

Label B: Object

Label C: Focal point

Explanation:

Label A: Virtual Image

Label B: Object

Label C: Focal point

What is an eye ?

The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.

To know more about eye :

https://brainly.com/question/15686038

#SPJ2.

10. A ball is attached to a string of length 4 m to make a pendulum. The pendulum is placed at a location that is away from the Earth’s surface by twice the radius of the Earth. What is the acceleration due to gravity at that height and what is the period of the oscillations?

Please show all of your work.

Answers

Let's see

Radius of earth=6371mTwice of it=6371(2)=12742m

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{l}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{4}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi\dfrac{2}{\sqrt{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=\dfrac{4\pi}{\sqrt{g}}[/tex]

So

[tex]\\ \rm\rightarrowtail g=\dfrac{16\pi ^2}{T^2}[/tex]

Answer:

g' = 1.09 m/s²

T = 12 s

Explanation:

Gravity due to acceleration

Distance from center of Earth = r + 2r = 3rgravity due to acceleration on surface, g = GM/r²Substitute 3r in the denominatorg' = GM/(3r)² = GM/9r²⇒ g' = g/9 = 9.8/9 = 1.09 m/s²

Time period

T = 2π√L/g'T = 2π√4/1.09T ≅ 12 s

i need help with this question on circuits!!

Answers

Answer:

B

A

A

B

Explanation:

In the wiring of houses, a parallel circuit is used, otherwise, if the circuit of one of the parts is interrupted, the current will not enter the other circuits.

The water was used to power a generator, creating _______________ energy

Answers

Answer:

electric

please give brainliest

PLEASE HELP!!!



With upward speeds of 12.5 m/s, the elevators in the Yokohama Landmark Tower in Yokohama, Japan, are among the fastest elevators in the world. Suppose a passenger with a mass of 70.0 kg enters one of these elevators. The elevator then goes up, reaching full speed in 4.00 s. Calculate the net force that is applied to the passenger during the elevator's acceleration.

Answers

The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

What is net force?

This is the single force obtained from the combinatiion of two or more forces

To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.

Formula:

F = m(v-u)/t............ Equation 1

Where:

F = forcem = massv = Final velocityu = initial velocityt = time.

From the question,

Given:

m = 70 kgu = 0 m/sv = 12.5 m/st = 4 s

Substitute these values into equation 1

F = 70(12.5-0)/4F = 218.75 N

Hence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

Learn more about net force here: https://brainly.com/question/13370981

Infrared, ultraviolet and visible light are all part of the electromagnetic spectrum. The basic difference between them is their.

Answers

Answer:

The basic difference is wavelength (frequency)

ultraviolet < visible < infrared where the visible spectrum lies at

4000 - 7000 Angstroms =  400 - 700 millimicrons (10^-9 meters)

Tjhe shorter wavelengths (ultraviolet) carry more energy / photon

( Infer this information for both the lens and mirror based on the data collected. Report these ranges in terms of f and/or 2f. For example, “When do is less than 2f.” )

What range of do values will result in a real image?
What range of do values will result in a virtual image?
What range of do values will result in a smaller image?

Answers

This exercise is about Reflection and Mirrors. It explores the relationship between convex mirrors, virtual images, and complex images as well as to object distance d₀.

What range of d₀ values will result in a real image?

Any d₀ value greater than 10 for a convex lens will produce a true or real image, while any d₀ value greater than 15 for a complex mirror will produce a real image.

What range of d values will result in a virtual image?

Any d₀ number less than 10 for a convex lens will result in a virtual image. Also, any d₀ value less than 15 for a complex mirror will result in a virtual picture.

What range of do values will result in a smaller image?

The range of d₀ values that would result in a reduced picture in both lenses and mirrors is:

d₀ > 2 f, where is the Focal length.

Learn more about Reflection and Mirrors at:
https://brainly.com/question/3574225

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Gases that are very good at absorbing long wave photons of infrared light

Explanation:

Green house gases examples are Carbon monoxide, nitric oxide etc.These gases absorb long wave photons of infrared light of sun's rays They melts the glaciers and increase the sea level .

The parenting style that can be described as restrictive and controlling is called __________. a. authoritarian b. permissive c. neglectful d. authoritative please select the best answer from the choices provided a b c d

Answers

The parenting style that can be described as restrictive and controlling is called authoritarian.

What is authoritarian?

The rejection of political plurality, the use of strong central power to maintain the political status quo, and reductions in the rule of law,

The separation of powers and democratic voting characterize authoritarianism.

Many typologies of authoritarian systems of administration have been developed by political scientists.

Authoritarian governments can be autocratic or oligarchic, and they can be founded on party or military authority.

To learn more about the authoritarian refer to the link;

https://brainly.com/question/3710034

help me with this plsssssssssssssss

Answers

Answer:

D

Explanation:

The digestive system does all of these functions

the stomach and small intestine breaks down foodthe small intestine absorbs nutrientsthe large intestine eliminates waste

all these components (and more) make up the digestive system.

if you are unsure, visit bbc bitesize for more information.

1. Which of the following represents the distance (how much ground the particle covers) moved by a particle in a simple harmonic motion in one time period? (Here, A represents the amplitude of the oscillation.)
0 cm
A cm
2A cm
4A cm

Please show all of your work.

Answers

What's the relationship

[tex]\\ \rm\Rrightarrow T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

[tex]\\ \rm\Rrightarrow T^2g=4\pi ^2\ell[/tex]

[tex]\\ \rm\Rrightarrow\ell=\dfrac{T^2g}{4\pi^2}[/tex]

4A can be correct

The correct option is: 2A cm

What is simple harmonic motion?

In a simple harmonic motion, the particle moves back and forth around a mean position. The distance covered by the particle in one time period depends on the amplitude of the oscillation.

The time period (T) of a simple harmonic motion can be expressed in terms of the frequency (f) as:

T = 1/f

The frequency (f) of a simple harmonic motion can be related to the angular frequency (ω) as:

ω = 2πf

Therefore, the time period (T) can also be expressed in terms of the angular frequency (ω) as:

T = 2π/ω

The displacement of the particle at any time (t) during the simple harmonic motion can be expressed as:

x = A cos(ωt)

where x is the displacement, A is the amplitude, and cos(ωt) is the cosine function.

The particle moves from its initial position to its maximum displacement (+A), then back to its initial position, and finally to its maximum displacement in the opposite direction (-A), before returning to its initial position again. Therefore, the distance covered by the particle in one time period is twice the amplitude (2A).

Therefore, the correct option is:

2A cm

Learn more about simple harmonic motion, here:

https://brainly.com/question/28208332

#SPJ2

Hello people ~
The sound in the audible range is called
(a) ultrasonic sound
(b) sonic sound
(c) subonic sound
(d) light sound​

Answers

Answer:

Sonic sound

Human audible range is from 20Hz to 20000Hz or 20kHzAbove or beneath that range we can't hear .Bats can hear below it and dogs can hear above it

Under which condition would time periods of daylight and darkness be equal everywhere on Earth all year?.

Answers

If the earth rotated on an axis that was not tilted with respect to earth's orbit Under this condition time periods of daylight and darkness be equal everywhere on earth all year.

What is the earth's orbit?

The Earth orbits the Sun in a counterclockwise pattern above the northern hemisphere at an average distance of 149.60 million km.

The Earth revolves around its axis once every 24 hours and orbits the sun once every 365 days. The Earth's rotation on its axis, not its orbit around the sun, causes day and night.

The term 'one day' refers to the time it takes the Earth to rotate once on its axis, which includes both day and night.

Hence the earth rotated on an axis that was not tilted with respect to the earth's orbit Under this condition time periods of daylight and darkness be equal everywhere on earth all year.

To learn more about the earth's orbit refer to the link;

https://brainly.com/question/15022652

A radio has a frequency of 220 hertz (Hz). The wavelength sound produced is 4.2m. Identify
the speed of the wave. Equation: Speed= wavelength x frequency (Hz)

A. 11m/s

B. 0.01m/s

C. 52.3m/s

D. 924m/s

Answers

Question :-

A Radio has a Frequency of 220 Hertz . The Sound produced by the Wavelength is 4.2 meter . Identify the Speed of the Wave .

11 m/s0.01 m/s52.3 m/s924 m/s

Answer :-

Speed of the Wave is 924 m/s .

Explanation :-

As per the provided information in the given question, we have been given that the Frequency of the Radio is 220 Hertz . Wavelenght is given as 4.2 meter . And, we have been asked to calculate the Speed of the Wave .

For calculating the Speed , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Speed \: = \: Wavelength \: \times \: Frequency \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf{Speed \: = \: Wavelength \: \times \: Frequency} [/tex]

[tex] \longmapsto \: \: \: \sf{Speed \: = \: 4.2 \: \times \: 220} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Speed \: = \: 924 }} [/tex]

Hence :-

Fourth Option is Correct Answer .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Answer:

A Radio has a Frequency of 220 Hertz . The Sound produced by the Wavelength is 4.2 meter . Identify the Speed of the Wave .

11 m/s

0.01 m/s

52.3 m/s

924 m/s

Answer :-

Speed of the Wave is 924 m/s .

Explanation :-

As per the provided information in the given question, we have been given that the Frequency of the Radio is 220 Hertz . Wavelenght is given as 4.2 meter . And, we have been asked to calculate the Speed of the Wave .

For calculating the Speed , we will use the Formula :-

\bigstar \: \: \: \boxed{ \sf{ \: Speed \: = \: Wavelength \: \times \: Frequency \: }}★

Speed=Wavelength×Frequency

Therefore , by Substituting the given values in the above Formula :-

\dag \: \: \: \sf{Speed \: = \: Wavelength \: \times \: Frequency}†Speed=Wavelength×Frequency

\longmapsto \: \: \: \sf{Speed \: = \: 4.2 \: \times \: 220}⟼Speed=4.2×220

\longmapsto \: \: \: \textbf {\textsf {Speed \: = \: 924 }}⟼Speed = 924

Hence :-

Fourth Option is Correct Answer .

Please Help Me!

A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.

What is image distance?

This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.

To calculate the image distance, we use the formula below.

Formula:

1/f = 1/u+1/v........... Equation 1

Where:

f = Focal length of the mirrorv = Image distanceu = object distance

From the question,

Given:

f = 0.45 mu = 0.25 m

Substitute these values into equation 1 and solve for the image distance

1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 m

Hence, The image distance is -0.56 m.

Learn more about image distance here: https://brainly.com/question/17273444

true or false
As the moon orbits Earth, the absolute positions of the moon,
Earth, and the sun change

Answers

Answer:

FALSE

Explanation:

as the moon orbits earth, the ABSOLUTE position of the moon, earth, and the sun change. the moons orbit around earth is ABSOLUTELY STRAIGHT with respect to earths orbit around the sun. the amount of the moon's surface that is lit by the sun changes.
The following statement is False

Identify the solutions (homogeneous mixtures) in the list below. check all that apply. lead, an alloy of tin and lead ammonia, a pure compound of nitrogen and hydrogen window cleaner, a mixture of ammonia and coloring dissolved in water gasoline, a mixture of organic liquids with a fixed composition throughout distilled water, pure with no metals or particles

Answers

Answer:

Brainliest pls

Explanation:

lead solder, an alloy of tin and lead

window cleaner, a mixture of ammonia and coloring dissolved in water

gasoline, a mixture of organic liquids with a fixed composition throughout

The solutions and homogeneous mixtures in the given list are:

A. Lead solder, an alloy of tin and lead.

D. Window cleaner, a mixture of ammonia and coloring dissolved in water.

E. Gasoline, a mixture of organic liquids with a fixed composition throughout.

What is a solution?

A solution can be defined as a special type of homogeneous mixture that comprises a solute and a solvent.

A homogeneous mixture can be defined as any solid, liquid, or gaseous mixture which has an identical (uniform) composition and properties throughout any given sample of the mixture.

In Science (Physics), all solutions are considered to be a homogeneous mixture because their constituents are uniformly (evenly) distributed.

In conclusion, the solutions and homogeneous mixtures in the given list are:

Lead solder, an alloy of tin and lead.Window cleaner, a mixture of ammonia and coloring dissolved in water.Gasoline, a mixture of organic liquids with a fixed composition throughout.

To know more about solution follow

brainly.com/question/22070951

To predict whether a star will ultimately become a black hole, what is the key property of the star we should look at?.

Answers

A star will ultimately become a black hole when it collapses due to end of fuel.

Which star becomes a black hole?

When a star burns through the last of its fuel, the object may collapse, or fall into itself. For smaller stars which are about three times the sun's mass, the new core will become a white dwarf but when a larger star collapses, it turns into a black hole.

So we can can conclude that a star will ultimately become a black hole when it collapses due to end of fuel.

Learn more about star here: https://brainly.com/question/10597324

My Noacid performs a physics lab to determine the speed of sound inside a tube. She blocks off one end of the 120. 0 cm tube with a book and places a microphone at the other end. When she snaps her finger she determines the time for the sound to get back to the microphone is. 00695 s. What was the speed of sound that day

Answers

The speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.

Speed of the sound

The speed of the sound wave can be determined by applying echo formula as shown below;

v = 2d/t

where;

d is the distance traveled by the sound wave = 120 cm = 1.2 mt is the time when the sound wave was heard = 0.00695 s

Substitute the given parameters and solve for speed.

v = (2 x 1.2)/(0.00695

v = 345.32 m/s

Thus, the speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.

Learn more about speed of sound here: https://brainly.com/question/2142871

Which materials are good insulators? Select three options. Glass paper gold plastic silver.

Answers

Answer:

Plastic Glass and Paper

Explanation:

i just took the assignment

Glass, paper, and plastic are good insulators. The material that does not allow the flow of current through them is known as the insulators.

What are insulators?

An electrical insulator is a substance that prevents electric current from flowing freely. The electrons in the insulator's atoms are closely bonded and cannot travel easily.

Other materials, such as semiconductors and conductors, carry electricity more easily. The characteristic that characterizes an insulator.

Gold and silver are good conductors of electricity. While glass, paper, and plastic are good insulators.

Hence glass, paper, and plastic are good insulators.

To learn more about the insulator refer to the link;

https://brainly.com/question/24909989

When a 10-V battery is connected to a resistor, the current in the resistor is 2 A. What is the resistor's value

Answers

Answer:

5 ohms

Explanation:

V = IR

10 = 2 R

R = 5

Other Questions
The perimeter of a notebook is 28inches. The area is 48 square inches.What are the dimensions of thenotebook? I need Story plots essay 5 paragraphs please help This senior year was not what I expected . Essay which expression is equavilent to the epression -3(4x - 2) - 2x?A. -8xB. -16C. -14 - 2D. -14 + 6 At 2:00 PM the temperature is 18F. At 10:00 PM the temperature is -9F. What is the change in temperature from 2:00 PM to 10:00 PM? What is the purpose of a rebuttal during a debate?to prepare for closing argumentsto create a list of questions for the opposing teamto use rhetorical devices to highlight key pointsto prove that the opposing teams argument is incorrect Manny has 36 coins in his piggybank.3 of the coins are silver dollars. The remaining coins are dimes (10), quarters (25) and nickels (5). There is an equal number of dimes, quarters and nickels.How many nickels does Manny have? 1. What do we learn about Vicki Koob from thedetails she notices about Lawrence's home?Explain, supporting your answer with evidencefrom the text. Make x the subject of the formulay = x^2 Can anyone help me with this one Question on volume The diameter of a cylinder is 1 yd. The height is 12 yd. Find the volume of the cylinder. differentiate the following with respect to xirrelevant answers will be reported When was jada pinkett smith diagnosed with alopecia?. people with their abilities and efforts are called three viral diseases for which there is not a vaccine Make a title about the short paragraph and write a statement that is your own opinion about the paragraph An experiment is set up as follows:A mass m = 9.4kg is sent down a frictionless ramp with an initial velocity of 2.5m/s. The ramp is 87cmlong and has an angle of 36above the horizontal. At the bottom of the ramp is a horizontal surface with akinetic friction coefficient of k = 0.27. At the far side of the horizontal surface, 48cm away, is a spring withk-constant ks = 3,413.7Nm that will be compressed as the mass collides with the spring. The experimentends as the spring is fully compressed and the mass is at rest.Note: The distance that the spring is compressed is in addition to the 48cm.7) Find the initial energy of the mass. (10pts)8) How far will the spring compress if there is no surface friction under the spring? (10pts)9) How far will the spring compress if the surface friction continues under the spring? (20pts) Will choose Brainliest.Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.How many more cookies will Jessica have than Martha?If x represents the number of cookies Jessica started with, complete the statements below.The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 0Jessica has at least _ cookies more than Martha. Examine the image below:Which term describes the wave phenomenon in the image? If 10 mm = 1 cm, how many millimeters are in 22 centimeters?Group of answer choices Solve the following quadratic by completing the square.