3 problems Mark Watney Face In The Martian and how he solved?

The observed frequency increases and ear hears a higher pitch.

The Doppler Effect is the change in wave frequency caused by the relative motion of a wave source and its observer. Christian Johann Doppler discovered it and described it as the process of increasing or decreasing starlight based on the relative movement of the star.

The Doppler effect, also known as the Doppler shift, is a phenomenon that occurs when the source of waves moves in relation to an observer. A common physical demonstration of the Doppler Effect is an ambulance crossing you with its siren blaring. The Doppler effect is important in astronomy because it allows us to calculate the velocity of light-emitting objects in space, such as stars or galaxies.

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Electromagnetic radiation consists of electromagnetic field waves that propagate through space and carry electromagnetic radiation energy. These include X-rays, gamma rays, microwaves, infrared rays, light, and radio waves. In the electromagnetic spectrum, all of these waves are included.

For the wavelength:

Wave A has four crests, thus its wavelength can be calculated as follows:

λ = L/4

Where, λ = wavelength of a wave

L = total length of wave (1.6 × 10⁻³ m)

λ = 1.6 × 10⁻³ /4

λ = 4.1 × 10⁻⁴ m

Wave B has eight crests, thus its wavelength can be calculated as:

λ = L/8

Where, λ = wavelength of the wave

L = total length of wave (1.6 × 10⁻³ m)

λ = 1.6 × 10⁻³/8

λ = 2.0 × 10⁻⁴ m

This, explains that wave A has a higher wavelength.

Also, the wavelength in the range of 10⁻⁴m corresponds to the infrared region.

For the frequency:

ν = c/λ

Where, ν = frequency

c = speed of light (2.99 × 10⁸ m/s)

λ = wavelength

Wave A has a wavelength of 4.1 × 10⁻⁴ m, so the frequency of the photon will be:

ν = 2.99 × 10⁸/4.1 × 10⁻⁴

ν = 7.49 × 10¹¹ s⁻¹

Wave B has a wavelength of 2.0 × 10⁻⁴ m, so the frequency of photon will be:

ν = 2.99 × 10⁸/2.0 × 10⁻⁴

ν = 1.49 × 10¹² s⁻¹

Hence, wave B has a higher frequency.

For photon energy:

E = hν

Where, E = photon energy

h = plank's constant (6.626 × 10⁻³⁴ Js)

ν = frequency

Wave A has a frequency of 7.49 × 10¹¹ s⁻¹:

E = (6.626 × 10⁻³⁴)(7.49 × 10¹¹)

E = 4.96 × 10⁻²³ J

Wave A has a frequency of 1.49 × 10¹² s⁻¹:

E = (6.626 × 10⁻³⁴)(1.49 × 10¹²)

E = 49.93 × 10⁻²² J

Hence, wave B has greater energy.

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Desktop risers or toppers, commonly referred to as standing desk converters, are movable devices that you install on top of your current workstation.

You can choose to stand instead of removing or shifting your current desk thanks to them.They come in a variety of sizes, designs, and price ranges and often have a desktop surface with a separate keyboard tray.

Because they are frequently the least expensive and most straightforward way to start standing, standing desk converters are something you should think about if you want to keep your current workstation.

The appropriate standing desk converter for you will depend on your height, computing setup, available space, and spending limit.

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The time taken for the projectile to hit the the ground from a ramp of height 1.5 m is 0.55 seconds.

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

To calculate the time it takes the projectile to hit the ground, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for t.

Hence, the time taken is 0.55 seconds.

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The astronomer on duty going to have a bit of a problem satisfying her request after a white dwarf cools off it turns too bloodless and darkish to emit visible light.

According to astronomers, The fate of the left-over center relies upon its mass. If the left-over middle is about 1. four to 5 instances the mass of our solar, it'll crumble right into a neutron big name. If the middle is bigger, it's going to crumble right into a black hollow.

The growth and contraction of pulsating variables may be measured with the aid of using the Doppler effect. The traces inside the spectrum shift in the direction of the blue because the floor of the megastar moves in the direction of us after which shifts to pink as the floor shrinks again. Gold is uncommon in the course of the Universe as it's a tremendously hefty atom, such as seventy-nine protons and 118 neutrons.

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The reasons why the units are included mainly at the top of columns and the beginning of rows in a data table includes.

A data table consists of a range of cells forming a document with content that can be addressed using row or column locations in which values are stored. The data in the cells of a data table can be accessed or retrieved or updated as required, later.

The title of the data table and the top of columns, known as column headers, and the beginning of rows, known as row headers are used to present more details of the content or information in the cells, in order to clarify their meaning.

Placing such details only in the column and row headers reduces repetition of the same details in all cells, improves clarity as usually only values that may be different are placed in the cells, such that it is easier to focus on the values.

The method of including units only at the top, reduces the amount of space required to store the data, it also facilitates the comparison of values in the dataset.

Including units only at the tops of columns and at the beginning of rows also allows the data table to be used for computerized data analysis, such as the programming of the required monthly payment on a home mortgage, through which different interest rate and loan amount can be experimented with to programmatically calculate the required or affordable monthly payment.

During manual analysis, such as graphing of the data, use is made of mainly the values in the table rather than units in calculations, as the number of data points may me much.

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The acceleration of rate mobile is 30 m/s².

Given - Initial velocity=80m/s , Final Velocity=200m/s , time= 4sec

To find out acceleration.

Principle- Acceleration means rate of change of velocity. Mathematically derivative of velocity with the function of time is acceleration.

a=dv/dt

a=(vₙ-v )/dt

substitute vₙ=200m/s  , v=80m/s , dt=4sec

a= [ 200 -80 ]/4

a= 120/4

acceleration ⇒ a=30 m/s²

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Answer: The answer is True

Forces can be divided into primarily into two types of forces: Contact Forces. Non-contact Forces.

In physics, pressure is an influence that can trade the motion of an item. A force can reason an item with mass to exchange its velocity (e.g. transferring from a country of rest), i.e., to boost up. force can also be described intuitively as a push or a pull. A pressure has each importance and route, making it a vector quantity. it's far measured in the SI unit of newton (N). force is represented by way of the image F (previously P).

The unique form of Newton's 2d law states that the internet force appearing upon an object is equal to the fee at which its momentum changes with time. If the mass of the item is constant, this law means that the acceleration of an item is at once proportional to the net force performing on the item, is in the path of the net force, and is inversely proportional to the mass of the object.

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X-rays and gamma rays are the other forms of electromagnetic radiation you think could be ionizing.

Electromagnetic radiation is produced each time a charged particle, together with an electron, modifications its velocity—i.e., whenever it is improved or decelerated. The energy of the electromagnetic radiation hence produced comes from the charged particle and is therefore misplaced by way of it.

Electromagnetic radiation consists of waves of the electromagnetic subject, which propagate thru an area and deliver electromagnetic radiant electricity. It includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays. All of those waves form part of the electromagnetic spectrum.

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Explanation:

Select the type or types of energy the ball has at the top of the hill.

gravitational potential energy

Select the type or types of energy the ball has halfway down the hill.

gravitational potential energy

rotational kinetic energy

kinetic energy

Select the type or types of energy the ball has on the level ground.

kinetic energy

Cotivational Kinitics Energy

Explanation:

Answer:4.5??

Explanation:

The reaction which occurs between water and pyridine is

C5H5H + H2O → C5H5NH+ + OH-

pyridine is a basic heterocyclic organic compound with a structure like  benzene with one methine group replaced by a  nitrogen

pyridine reacts with water where it may oxidizes  water

The following reaction occurs when water is reacted with pyridine is

C5H5H + H2O → C5H5NH+ + OH-

C5H5N + H+ → C5H5NH+

pyridine is a hydrogen ion acceptor as new bonds are formed between nitrogen to form a new compound

Bronsted-Lowry acids, on the other hand, are solutions that act as a proton or hydrogen ion donors

pyridine is the proton acceptor and water is the proton donor as it donates its proton to pyridine.                                                                                                                  To learn more about bronsted-lowry acids see more https://brainly.com/question/14407412?referrer=searchResults

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Star b will have better fusion rate as compared to star a.

What is nuclear fusion reaction?

It is the reaction which powers the sun and other stars. In this reaction, two small nuclei fuse together to form one single heavier nucleus. During this process, large amount of heat is being liberated out.

The rate of fusion reaction increases rapidly with temperature until it reaches a point where it maximizes and then falls. Hence, it depends upon the numeric value of temperature taken. The star with temperature 3t will have a good fusion rate as compared to the star a with t temperature. There are many other things as well, which has to be kept in mind and it comes later on in the reaction.

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The weight of the block is F₀ × g/(g + 3a)

Mass of an object is the same everywhere in the universe. Weight, on the other hand, varies by location. Mass is measured in kilograms. We usually say kilograms for weight, but strictly speaking, it must be measured in Newtons, which is a unit of force. Weight equals mass multiplied by applied gravity. i.e. W = mg

For the given case:

Mass of block = m

Acceleration = 3a

Force = F₀

So, F₀ - mg = m × 3a

F₀ = mg + m3a

F₀ = m(g + 3a)

m = F₀/(g + 3a)

Now, weight = mg

Where, g = 9.8 m/s²

W = F₀/(g + 3a) × g

W = F₀ × g/(g + 3a)

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The total momentum of the system is conserved if the system is isolated. option c.

Momentum :

formula of momentum is given as :

p= mv

where,

p = momentum of the body

m = mass of the body

v = velocity of the body

Total momentum offer system is equal to the vector sum of all the system's component masses.

A system that is an isolated system does not interact with its environment.

The total momentum of the system is conserved if the system is isolated. option c.

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The crushing can experiment shows the relationship between the gases in a can and the air pressure.

Before we can understand the crushing can experiment, we need to bear at the back of our minds that in the kinetic molecular theory of gases, we are told that gas molecules are in constant random motion and that they collide with the walls of the container.

Now, in the crushing can experiment, we have steam that is held at a high temperature so that the molecules are moving rapidly and exerting pressure on the walls of the container. This pressure that is exerted by the gases in the can counterbalances the air pressure.

If the can is cooled such that the gases are less mobile and exert less pressure, then the air pressure on the can would exceed the pressure exerted by the gases inside the can and the can would squeeze.

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The shortest distance in which the car can stop safely is 42.82 m

Define frictional force?

The force produced when two surfaces slide against and touch one another is referred to as frictional force.

The amount of force requiring them together and the surface texture have the biggest an impact on these forces. The amount of frictional force depends on the object's orientation and location.

In the question, given

Mass of the car m = 1500

Velocity of the car = 20 m/s

Maximum friction force the tires can provide without skidding = 7000 N

Analysis of the motion of a car with mass m braking on gravel road with maximum friction force f is being done.

Newton's second law, which combines acceleration a, force f, and mass m as follows, will be used to solve this issue:

a = f/m

The second equation we'll employ combines the distance s, the speed v, and the acceleration a:

Δv^2 = 2aΔs

A force causes an item to accelerate, as stated by Newton's second law. Similarly, applying brake pressure to a moving object will result in a negative acceleration termed as a, which will eventually cause the object to stop.

Therefore we calculate acceleration a using

F = ma

a = F/m

  = 7000/1500

  = 4.67 m/s^2

We will utilize the kinematic equation to extract and determine the value of the stopping distance now that we have established the amount of acceleration when a car brakes.

​Δv ^2  =2⋅a⋅Δs

Δs = Δv ^2/2⋅a

    = 20 x 20 / 2 x 4.67

    = 42.82 m

Hence, the shortest distance in which the car can stop safely is 42.82 m

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Answer:

Explanation:

For this one I'd say D. Placing data into tables, charts, and graphs is the easiest way for scientists to quickly sort their dat...

It can be concluded that at one time in the past, South America and Africa were once one. Beside of the same type of plant foil on the eastern coast of South America and western coat of Africa, we can identify other similar reason that the coastlines of South America and Africa on opposite sides of the Atlantic Ocean seem to fit together.

Yes, is it. Let's back to 1915, a German scientist named Alfred Wegener, proposed that continents could move around on the earth’s surface. He said that in the past there is a supercontinent in the earth named Pangea Continent. Not only South America and Africa, but also all of the continents were all together in the past.

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The distance travel by the cyclists in the given time is 48 m.

Acceleration can be defined as the rate at which velocity changes with time, in terms of both speed and direction.

Acceleration is a vector quantity.

Initial velocity = 14 m/s

Final velocity = 18 m/s

Acceleration = final velocity- initial velocity / time taken

a = [tex]\frac{18 m/s - 14 m/s}{3 s}[/tex]

a = [tex]\frac{4}{3}[/tex] m/s^2

Now, for distance we can use distance formula

s = ut + 1/2 at^2

=14 × 3  + [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex]  × 3^2

=42  + 6

=48 m

Hence, the distance travel by the cyclists is 48 m.

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Based on the data table, the acceleration of this model car at 3. 5 seconds is equal to: D. 10 m/s/s.

By critically observing the data provided in the data table, we can logically deduce that there exist a proportional relationship between the velocity of this model car (in m/s) and the time taken (in seconds).

Mathematically, a proportional relationship can be represented with the following mathematical expression:

v = kt

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = v/t

Constant of proportionality (k) = 10/1

Constant of proportionality (k) = 10.

For the velocity at time, t = 3.5 seconds, we have the following:

Velocity, v = kt

Velocity, v = 10 × 3.5

Velocity, v = 35 m/s.

Mathematically, the acceleration of a physical object can be calculated by using this formula:

Acceleration = change in velocity/change in time

Substituting the given parameters into the formula, we have;

Acceleration = (35 - 15)/(3.5 - 1.5)

Acceleration = 20/2.0

Acceleration = 10 m/s/s.

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Answer:

10 m/s

Explanation:

The person's average force on the box is equal to F = 20 N.

The force applied by an object moving over a defined period of time at a defined rate of speed is known as the average force. Here, the word "average" is used to denote that the velocity is not instantaneous or precisely measured.

Given,

I = 5kg.m/s

t = 0.25s

We are aware that force is the same as the change in momentum over time. The impulse is equal to the change in momentum.

F = dP/dt

F = I/t

F = 5/0.25

F = 20N.

The person's average force on the box is equal to F = 20 N.

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a) there is a proportional relationship between the amount of time and distance from a lightning strike.

b)The distance from the lightning strike is 4,116 meter.

The speed of sound in air = 343 meters per second

Time to see lightning  = 12 second.

a)Time and distance are directly proportional to each other.

as we know:

distance = speed  x time

distance ∝ speed

distance ∝ time

b)The distance can be calculated as :

Distance = Speed x Time

Distance = 343 x 12

Distance = 4,116 meter.

a) there is a proportional relationship between the amount of time and distance from a lightning strike.

b)The distance from the lightning strike is 4,116 meter.

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(a) The time taken for the ball to reach the maximum height is 1 second.

(b) The maximum height reached by the ball is 25 m.

The time taken for the ball to reach the maximum height is calculated as follows;

h = -16t²  +  32t  +  9

dh/dt = -32t + 32

dh/dt = v

where;

at maximum height, the final velocity, v = 0

0 = -32t   +  32

32t = 32

t = 32/32

t = 1 s

The maximum height reached by the ball is calculated as follows;

h = -16t²  +  32t  +  9

h = -16(1)²  +  32(1)  +  9

h = 25 m

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The incidence angle of a light ray that strikes a plane mirror is 35 degrees from the horizontal, hence the angle of reflection is 55 degrees.

Angle of incidence and angle of reflection are equal when a light beam is incident properly on a flat mirror, according to the laws of reflection. Due to the zero degree incidence angle and reflection, respectively. The path of the reflected light will therefore be the same as the route of the incident beam.

The angle between the light and the surface is 10° if it is parallel to the surface, and 80° if it is perpendicular. It follows that the incidence angle is 80o. The incidence angle and reflection is equal, according to the rule of reflection. The reflection therefore has an 80o angle.

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When the Vegan "meatball's" velocity is at its highest position at this moment, its velocity is zero, 0m/s.

A projectile's velocity is zero at its highest point. A projectile's acceleration is zero at its maximum point. The vertical component of a projectile's velocity is suddenly zero (vy = 0 m/s) when it reaches its greatest height.

When vy = 0, the apex—the highest point in any trajectory—is reached. We apply the equation v2y=v20y2g(yy0) to calculate y because we know the initial position, initial velocity, and end velocity.

Since the projectile is moving uphill against the force of gravity, its velocity is beginning to slow down. When the vertical velocity eventually falls to zero, the bullet quickly accelerates downward due to gravity.

A projectile's horizontal velocity is constant (a never changing in value), and Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion is unrelated to its horizontal motion.

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The maximum kinetic energy of ejected electrons is 2.13 × 10⁻¹⁹ J.

The photoelectric effect is the emission of electrons while electromagnetic radiation, along with mild, hits a cloth. Electrons emitted in this way are referred to as photoelectrons.

The photoelectric effect is a phenomenon in which electrically charged particles are launched from or inside a fabric while it absorbs electromagnetic radiation.

The effect is regularly defined because of the ejection of electrons from a metallic plate while light falls on it. Einstein theorized that when a photon falls on the floor of a metallic, the complete photon's power is transferred to the electron. part of this power is used to dispose of the electron from the steel atom's hold close and the rest is given to the ejected electron as kinetic energy.

Using photoelectric effect:-

KEmax = hv - Ф

Ф = hv₀ = hc/λο

Hence, KEmax = hc/λ - hc/λο

                        = hc ( 1/λ - 1/λ)

Substituting the value

KEmax = (6.6 × 10⁻³⁴ )×(3× 10⁸)(1/400 × 10⁻⁹ - 1/700 × 10⁻⁹)

KE max = 2.13 × 10⁻¹⁹ J

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