What is Newton's Law of Conservation of Momentum?

Answers

Answer 1

Answer: The law of conservation of linear momentum helps to understand the behavior of a Newton's cradle In a closed system. This law is nothing more than action and reaction.it can be used to predict the resulting direction and speed of motion of objects after they collide.

Explanation: Just as an example, when you play pool/8ball, the white play exerts force on the other balls causing them to break away.

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Related Questions

PLZ HELP IM REALLY CONFUSED a boy is playing catch with his friend. He throws the ball straight up. When it leaves his hand, the ball (2kg) is traveling 10m/s. Whats the ball's kinetic energy just as it leaves the boy's hand? What is the potential energy of the ball when it reaches the highest point

Answers

Answer:

K.E = 100 J

Final P.E = 100 J

Explanation:

The kinetic energy of any object can be given by the following formula:

\(K.E = (\frac{1}{2})mv^{2}\)

where,

K.E = Kinetic Energy

m = mass of ball = 2 kg

v = speed of ball

Initially, v = 10 m/s. Therefore, the initial K.E is given as:

\(K.E = (\frac{1}{2})(2\ kg)(10\ m/s)^{2}\)

K.E = 100 J

Now, at the highest point the K.E of the ball becomes zero. because the ball stops for a moment at the highest point and its velocity becomes zero. So, from Law of Conservation of energy:

Initial K.E + Initial P.E = Final K.E + Final P.E

Initial P.E is also zero due to zero height initially.

K.E + 0 = 0 + Final P.E

Final P.E = 100 J

What does the author describe in the passage?
Sir Isaac Newton’s most famous book, Mathematical Principles of Natural Philosophy
how LeBron James developed his basketball dunking skills
how Sir Isaac Newton came up with the three basic laws of motion
how the way that LeBron James dunks a basketball illustrates Newton’s Third Law of Motion

Answers

Issac newton made the laws of gravity

Compare the minimum energies required to remove a neutron from Ca, zzCa and 23Ca, using m40=37225.15 MeV/c2, m41=38156.36 MeV/c?, m42=39084.46 MeV/c?, m43=40016.10 MeV/c and mn=939.57 MeV/c2. Why there is a distinct increase of this energy for Ca?

Answers

Answer:

Explanation:

From the given information, we are to compare the minimum energies required to remove a neutron from  \(^{41}_{20}Ca\),  \(^{42}_{20}Ca\)  and  \(^{43}_{20}Ca\)

To start with   \(^{41}_{20}Ca\); the minimum  energy required to remove a neutron from\(^{41}_{20}Ca\) is :

= \(E ( ^{41}_{20} Ca) - E ( ^{40}_{20} Ca) - E ( ^{1}_{0} n)\)

= (38156.36 - 37225.15 -939.57) MeV

= -8.36 MeV   Since energy is being given out

Thus, E = 8.36 MeV

the minimum  energy required to remove a neutron from \(^{42}_{20}Ca\) is :

= \(E ( ^{42}_{20} Ca) - E ( ^{41}_{20} Ca) - E ( ^{1}_{0} n)\)

= ( 39084.46 - 38156.36 - 939.57) MeV

= -11.47 MeV     Since energy is being given out

Thus, E = 11.47 MeV  

the minimum  energy required to remove a neutron from \(^{43}_{20}Ca\) is :

= \(E ( ^{43}_{20} Ca) - E ( ^{42}_{20} Ca) - E ( ^{1}_{0} n)\)

= (40016.10 -39084.46 -939.57) MeV

=  - 7.93 MeV     Since energy is being given out

Thus, E =7.93  MeV

Why there is a distinct increase of this energy for \(^{42}_{20}Ca\) ?

This is as a result of electronic configuration of \(^{42}_{20}Ca\) which posses the same number of proton and neutron, as such, \(^{42}_{20}Ca\) tends to acquire more stability. For this reason, it will be difficult to remove a neutron from \(^{42}_{20}Ca\) .

equal forces that do not cause a change in an object's motion

Answers

Answer:

Balanced forces.

Explanation:

The three main forces that stop moving objects are friction, gravity and wind resistance. Equal forces acting in opposite directions are called balanced forces. Balanced forces acting on an object will not change the object's motion. When you add equal forces in opposite direction, the net force is zero.

Some liquid is poured into a burrete so that it reads 14cm³.50 drops were run each of volume 0.1cm³ .
What is the volume of the fifty drops

Answers

Given :

Liquid is poured into a burrete so that it reads 14cm³.

50 drops were run each of volume 0.1cm³ .

To Find :

The volume of liquid in burrete after 50 drops.

Solution :

Volume of each drop, v = 0.1 cm³.

Initial volume in burrete, V = 14 cm³.

Now, volume left after droping 50 drops are :

\(L = V - 50v\\\\L = 14 - 50\times 0.1 \ cm^3 \\\\L = 9 \ cm^3\)

Therefore, the volume left in burrete is 9 cm³ .

SCIENCE - A version of the law of conservation of energy expressed as ΔU=Q-W, which states that the total energy of an isolated system is constant (a change in internal energy of a system is equal to the heat added minus the work done), is commonly referred to as the first law of what?

Answers

The equation ΔU=Q-W is commonly referred to as the first law of thermodynamics.

Where...

"ΔU" represents the change in internal energy of a system.

"Q" represents the sum of all heat transferred in and out of a system.

"W" represents the work done by the system.

The law simply states that energy is not created nor destroyed, it can only be converted from one form to another (such as heat, light, etc..).  

Pls help me I need help thanks.

Pls help me I need help thanks.

Answers

Answer: The  Answer Is A

Explanation:

What percentage of high school students did not meet the recommended level of physical activity in one study?
A.
25%
B.
45%
C.
65%
D.
85%

Answers

The answer is C so 65%

Answer:

c

Explanation:

what poping

Question 16 of 20
Which scenario is an example of the transfer of thermal energy by
conduction?
A. An ice cube melts in a person's hand.
B. Water in the entire pot is warmed when it is heated from the
bottom
C. A person can feel warmth from hot sand before stepping on it.
D. A frozen lake melts under the Sun.

Answers

An example of the transfer of thermal energy by conduction is water in the entire pot is warmed when it is heated from the bottom. Hence, option B is correct.

What is Conduction?

When matter or particles physically touch each other, energy is transferred by conduction. Heat or electricity can be transferred as a result of the conduction phenomena.

The kinetic theory states that matter is composed of particles that move randomly and continuously. Thermal energy is produced by the random movement or vibration of the constituent parts of matter. Particles with more kinetic energy generate more heat, which increases the measurement of heat, or temperature. Temperature is an indicator of the typical kinetic energy contained in a group or volume of particles.

Conduction is the process in which direct contact between objects is required. Hence, it is concluded that option B is correct.

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Answer: An ice cube melts in a person's hand

Explanation:

just took the test

in parallel association, should the equivalent resistance be smaller or bigger than any individual resistor in the circuit? justify your answer.

Answers

The equivalent resistance is always less than the smallest resistor in the parallel network.

Then the inverse of the equivalent resistance of two or more resistors connected in parallel is the algebraic sum of the inverses of the individual resistances.

If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, \(R_t\) is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.

Note that the equivalent resistance is always less than the smallest resistor in the parallel network so the total resistance, \(R_t\) will always decrease as additional parallel resistors are added.

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4. Jerry has approached you with a series circuit problem. He's trying to figure out the electricity for a new circuit in his house. He needs to find the total resistance. Which equation should Jerry use? A.R=R₁ + R₂ + R₂ B. R=1/R₁+1/R₂ + 1/R C. R=1/R₁ R₂ R D. R=R₁ R₂ R₂​

Answers

The equation Jerry should use for the total resistance in a series circuit is R = R₁ + R₂ + R₃.

option A.

What is a series circuit?

In a series circuit, all components are connected end-to-end, forming a single path for current flow.

A series circuit can contain any combination of resistors, capacitors, and inductors.

In a series circuit, the current flowing in each circuit component is the same  and the voltage drop in each circuit component is different.

Based on this, the total formula for the total resistance in a series circuit is given as;

R = R₁ + R₂ + R₃

where;

R is the total or equivalent resistanceR₁, R₂, R₃ are the resistance of each resistor in series.

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3. If you wish to represent one period of a wave on a string, which two variables should you have on the axes? (a) v and T (b) y and x (c) y and t (d) T and A

Answers

The y-axis would represent the displacement/amplitude (y) of the wave, and the x-axis would represent time (t). This allows us to observe how the displacement of the wave changes over time during one complete period.

The correct answer is (c) y and t.

When representing one period of a wave on a string, the variable "y" represents the displacement or amplitude of the wave at a particular point on the string, and the variable "t" represents time.

Therefore, the y-axis would represent the displacement/amplitude (y) of the wave, and the x-axis would represent time (t). This allows us to observe how the displacement of the wave changes over time during one complete period.

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Share your thoughts about this statement by John Wesley
"Electricty is the soul of universe"

Answers

Answer:

I think this statement is true at least in modern day times. The world runs on nothing but technology. People use more technology instead of old school textbooks and papers. Imagine living in a world without technology… that means no cars, no trains, no devices, no machines like your stove or printer, no lights and lots more. John Wesley is 100 percent correct with this statement. Electricity is indeed the powerhouse of the universe.

How did we see through Venus thick atmosphere?

Answers

Answer:

The Venusian atmosphere supports opaque clouds of sulfuric acid, making optical Earth-based and orbital observation of the surface impossible. Information about the topography has been obtained exclusively by radar imaging. Aside from carbon dioxide, the other main component is nitrogen

Explanation:

Because Venus has such a dense atmosphere which is some 100 times thicker than the earth's. Evidently, Venus is sufficiently close to the Sun that the little carbon dioxide it had in its early, Earth-like atmosphere caused the surface to warm up and leach out more carbon dioxide into the atmosphere.

The gravitational force between two masses separated by a distance is F. The magnitudes of two masses are doubled and distance between them is reduced to half of the initial distance. The gravitational force between them will be:
[A] F
[B] 2F
[C] 4F
[D] 16F​

Answers

Answer:

F = G M m / R^2

F1 = G M m / R1^2

F2 = 4 G M m / R2^2

F2 / F1 = 4 * (R1 / R2)^2 = 4 / (1/2)^2 = 16

F2 = 16 F1

A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 7 in. beyond its natural length? W X ft-lb

Answers

The work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

We are given a spring which is stretched beyond its natural length by 2 inches, by applying a force of 10 pounds.

We have to calculate the work done in stretching it further to 7 inches beyond its natural length, in ft-lb.

In order to calculate the work done, we need to know the spring constant (k) of the spring and then use the formula for work done by a spring, which is given by

W = (1/2)k(x2² - x1²)

Where, W is the work done, k is the spring constant, x1 is the initial position of the spring, and x2 is the final position of the spring.So, we need to find the spring constant k of the spring, in order to calculate the work done.Let the spring constant be k lb/inch.

We know that F = kx

where, F is the force applied, x is the displacement, and k is the spring constant.

Substituting the values, we get10 = k(2)k = 5 lb/inch.

Now, we can use the formula for work done, which is W = (1/2)k(x2² - x1²)

Substituting the values, we get W = (1/2)(5)(7² - 2²)W = (1/2)(5)(45)W = 112.5 ft-lb.

Therefore, the work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

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Why does a sealed bag of chips expand when you take it to a higher altitude?

Answers

Answer:

As the atmospheric pressure decreases with increase in altitude, when a sealed bag of chips is taken to higher altitude then the pressure of the gases inside the bag become greater than the outer atmospheric pressure and apply pressure on the side covering of the chips bag due to which the chips bag expand.

How much force is needed to accelerate a 100 kg car at a rate of 3 m/s

Answers

Formula to find force: acceleration x mass

100 x 3=300
300N is needed (force is measured in newtons)

What might you look for as evidence that fusion occurs inside a star?

Answers

Answer: neutrinos

Explanation:

Question 2 of 10
A football is kicked with a velocity of 18 m/s at an angle of 20". What is the
ball's acceleration in the horizontal direction as it flies through the air?
O A. 16.9 m/s2
O B. 0 m/s2
O C. 9.8 m/s2
O D. 6.1 m/s2

Answers

Answer:

B

Explanation:

The question does not specify any outside forces that could slow down the ball horizontally. There fore the ball does not accelerate or decelerate horizontally. Therefore,  a = 0m/s2

What is the speed of the fast train if an observer standing near the tracks between the trains hears a beat frequency of 4.2 Hz? Express your answer using two significant figures. u= m/s Submit Request Answer

Answers

the speed of the fast train is: u = 1.4 x 10^2 m/s

The beat frequency is the difference between the frequencies of the two sound waves coming from the trains. We can use this information to calculate the speed of the fast train.

First, we need to know the frequency of the sound wave emitted by each train. Let's call the frequency of the sound wave from the fast train f1 and the frequency of the sound wave from the slow train f2.

We can use the formula for beat frequency:

beat frequency = |f1 - f2|

Plugging in the given beat frequency of 4.2 Hz, we get:

4.2 Hz = |f1 - f2|

Next, we can use the Doppler effect formula for sound:

f = (v +/- u) / (v +/- vs) * f0

where:
f = observed frequency
v = speed of sound (343 m/s)
u = speed of the observer (unknown)
vs = speed of the source (unknown)
f0 = frequency of the sound wave emitted by the source

For the observer standing near the tracks, we can assume that vs = 0.

So for the sound wave from the fast train, we have:

f1 = (v + u) / v * f0

And for the sound wave from the slow train, we have:

f2 = (v - u) / v * f0

Substituting these into the beat frequency equation and simplifying, we get:

4.2 Hz = u / v * f0

Solving for u, we get:

u = 4.2 Hz * v / f0

Plugging in the given frequency of the sound wave from the fast train (which is the same as f0), we get:

u = 4.2 Hz * 343 m/s / f1

Rounding to two significant figures, the speed of the fast train is:

u = 1.4 x 10^2 m/s

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If Styrofoam has a specific heat of 1131 J/kg°C, how much energy would it take to change a 0.5 kg Styrofoam cooler from 15°C to 2°C?

Answers

Answer:

.

Explanation:

Hello all, can you please answer this? I am struggling with this. I need this by tommorow. Question is below:

Light waves of frequency 6 x 10^14 Hz have a wavlength of 3.75 x 10^-7 m in water. What is their speed in water?

Answers

\(c_{water} = 2.25\times 10^{8}m/s\)

Explanation:

The speed of light in any medium is given by

\(c = \lambda \nu\)

where \(\lambda\) is the wavelength and \(\nu\) is the frequency. In water,

\(c_{water} = \lambda_{water} \nu\)

\(\:\:\:\:\:\:\:\:= (3.75\times 10^{-7}\:m)(6\times 10^{14})\:Hz\)

\(\:\:\:\:\:\:\:\:= 2.25\times 10^{8}\:m/s\)

When variable frequency speed control is used on a motor with a nameplate rating of 480v at 60 hz the voltage-to frequency ratio is?

Answers

The voltage-to-frequency ratio is 8 when using variable frequency speed control on a motor with a nameplate rating of 480v at 60 hz.

Variable frequency: What does that mean?

A drive that alters the frequency of the current going to a non-servo AC motor to change the motor's speed but not its precise location.

How does variable frequency control work?

The Frequency Can Change An induction motor's speed can be managed by the application of control. By adjusting the supply frequency, the motor speed and synchronous speed can both be managed.

Variable speeds – what are they?

A variable speed limit is a flexible restriction on how fast drivers are allowed to travel along a certain section of road. Depending on the environment and the state of the roads, the posted speed limit fluctuates.

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Electrons that are free to move in metals

Answers

Answer:

Brainliest please

Explanation:

I will start by saying that Metals by their very nature are conductors of electricity. Now metals exhibit “metallic bonding” which holds its structure together. Unlike other materials which exhibit covalent bonding, it's atoms are not bonded by “electron sharing”. Rather they are bonded by the availability of valence electrons. Now within a metals atomic structure, the metal atoms lose the electrons in thier outermost shell (valence electrons), thus becoming positively charged ions (cations )

determine the vertical rise h of the load w during 10 seconds if the hoisting drum draws in cable at the constant rate of 180 mm/s.

Answers

The vertical rise of the load during 10 seconds is approximately 490.5 meters.

What is uniformly accelerated motion?

Uniformly accelerated motion is a type of motion in which an object moves along a straight line with a constant acceleration. This means that the object's velocity changes at a constant rate over time, with equal changes in velocity occurring during equal time intervals.

We can use the kinematic equation for uniformly accelerated motion to determine the vertical rise of the load:

h = vit + (1/2)at²

where:

h is the vertical rise of the load (in meters)

vi is the initial vertical velocity of the load (in meters per second)

a is the vertical acceleration of the load (in meters per second squared)

t is the time interval (in seconds)

Since the load is being hoisted upward, its initial vertical velocity is zero, so vi = 0. The vertical acceleration of the load is equal to the acceleration due to gravity, which is approximately 9.81 m/s².

To use this equation, we need to convert the constant rate of cable draw, 180 mm/s, to meters per second:

180 mm/s = 0.18 m/s

Now we can plug in the values:

h = (0 m/s)(10 s) + (1/2)(9.81 m/s²)(10 s)²

h = 490.5 meters

Therefore, the vertical rise of the load during 10 seconds is approximately 490.5 meters.

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An escalator is used to move 25 passengers every minute from the first floor of a department store to the second. The second floor is located 5.30 meters above the first floor. The average passenger's mass is 60 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time.
Please help me quickly!

Answers

Answer:

1298.5watt

Explanation:

Power is defined as the rate at which work is done

Expressed mathematically as;

P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered

Hence for 1 person the power consumption is ;

Note weight =mass× acceleration of free fall due to gravity,g

g is known as 9.8m/S2

Time taken is 1min which is 60 sec

60 ×9.8 × 5.3/60 = 51.94 watt

Hence for 25 persons we have

25 × 51.94 =1298.5watt

1.3kilo watt( kilo is 1000)

The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

The Work Done is calculated as:

Force (F) = 60 × 9.8

Distance (d) = 5.30 meters

Work (W) = F × d

Work (W) = (60 × 9.8) × 5.30

Work (W) = 3,080.4 joules

The Power is calculated as:

Time (t) = 1 minute

Power (P) = Work / Tim (t)

Power (P) = 3,080.4 / 60

Power (P) = 51.34 watts

Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

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what would the roche limit be for an earth-orbiting body with the same density as earth? (the earth's density is 5.5 g/cm3. give your answer in terms of rearth.)

Answers

Buying or selling the Earth will go against the rights of the inhabitants of the world (humans and other living beings).

What is the Roche limit of Earth?

Solar influence

Far from the Roche limit, the mass is practically spherical. Closer to the Roche limit, the body is deformed by tidal forces. Within the Roche limit, the mass's own gravity can no longer withstand the tidal forces, and the body disintegrates.If Earth had two moons, it would be catastrophic. An extra moon would lead to larger tides and wipe out major cities like New York and Singapore. The extra pull of the moons would also slow down the Earth's rotation, causing the day to get longer.The Moon will swing ever closer to Earth until it reaches a point 11,470 miles (18,470 kilometers) above our planet, a point termed the Roche limit. "Reaching the Roche limit means that the gravity holding it [the Moon] together is weaker than the tidal forces acting to pull it apart," Wilson said.The Roche limit for the Moon orbiting the Earth is 2.86 times radius of EarthThe nearest distance between the planet and its satellite at where the planets gravitational pull does not torn apart the planets satellite is known as Roche limit.

The relation to determine Roche limit is:

\(Roche Limit=(2.423) (Rp3) {{\sqrt[3]{\frac{D_{P} }{D_{m} } } } }\)

Here  is radius of planet and  are density of planet and moon respectively.

According to the problem,

Density of Earth, = 5.5 g/cm³

Density of Moon, = 3.34 g/cm³

Consider  be the radius of the Earth.

Substitute the suitable values in the equation (1).

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Which of the following depicts xylem?

Which of the following depicts xylem?

Answers

C is the right image for that biological process.

. A boy wishes to make a catapult out of a rubber band of width 9mm and thickness 1.55mm. Determine the length of the band that he must use so that when he stretches it by 0.25 of its natural length and releases it the velocity of pebble of mass 0.006kg will be 30m/s. Take young modulus of the rubber to be 4×10^7 N/m^2 ​

Answers

The length of the rubber band that the boy must use is 0.024 m or 24 mm.

What will be the length of the rubber required?

To determine the length of the rubber band, we can use the formula for the potential energy stored in a stretched spring, which is also applicable to a stretched rubber band:

U = 1/2 kx²

where U is the potential energy stored in the rubber band, k is the spring constant (or in this case, the rubber band constant), and x is the displacement of the rubber band from its natural length.

Since the rubber band is stretched by 0.25 of its natural length, the displacement x is 0.25 times the natural length of the rubber band.

We can solve for the rubber band constant k by using the formula for the velocity of a projectile launched by a spring (or in this case, a rubber band):

v = √(2mk/M)

where v is the velocity of the projectile, m is the mass of the rubber band, M is the mass of the projectile, and k is the spring constant. We can rearrange this equation to solve for k:

k = (v² M) / (2 m)

We can now combine the two equations to solve for the length of the rubber band, L:

U = 1/2 k x²

U = 1/2 ((v² M) / (2 m)) (0.25 L)²

U = (v² M L²) / (32 m)

The potential energy stored in the rubber band must be equal to the kinetic energy of the projectile when it is launched:

U = 1/2 M v²

(v² M L²) / (32 m) = 1/2 M v²

L = ((16 m v²) / (k M))

L = ((16 m v²) / ((v² M) / (2 m) M))

L = √(32 m^2 / M)

L = (0.032 M)

Substituting the given values, we get:

L = √(0.032 * 0.006)

L = 0.024 m

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Plz help me !!!!! I need help me What is the mass-to-light ratio of a 1.1 Msun white dwarf luminosity 0.001 Lsun? Here Msun is the mass of the Sun, and Lsun is the Sun's luminosity. a. step oneb.step twoc. step threed. Keisha did not make a mistake. Last year mrs Bowen's read 289 books. Mrs Jackson's class read 315 book. About how many books did both classes read? if there is natural disaster and only one of the groups (autotroph or heterotroph) organisms survive. which group will have a greater chance to continue living? Which of the following is not a challenge to India's continued economic growth? OA) a lack of innovative companies B) cultural, ethnic, and linguistic divisions OC) a large and growing population OD) corruption E) poor physical infrastructure Which of the following choices does the light illuminated the wood represent in "Quest of the Silver Fleece"? * This one's a little complicated TwT what kind of leadership does the Mesopotamian and Egyptian civilizations need? What does a government need to do to protect the way of life for its people? Can you think of any instances when the government did not attend to the needs of the people? Find the slope of the line (-3,-2),(1,-2) Find the area of triangle ABC typical skill that all property managers must be familiar with is known by the acronym gaap. gaap refers to what...? Which is not one of dalton's hypotheses of atomic theory? elements are composed of atoms Incoming longwave radiation at the surface is the result of emission from the overlying atmosphere. This emission depends on the profiles of temperature and atmospheric constituents. A simple model for incoming clear-sky longwave radiation based on single-level measurements is given by: R' = where ea.cir is the clear-sky atmospheric (longwave) emissivity and I, is air temperature at a reference-level (e.g. 2 m). This is the model for clear-sky longwave radiation used in the MOD- WET model. a) Suppose the reference-level air temperature, specific humidity, and surface pressure at a particular location within the Upper Tuolumne at local noon on June 21st, 2009 are equal to 281.3 K, 1.6 g/kg, and 72,718 Pa respectively. Several semi-empirical models have been developed to compute the atmospheric clear-sky emissivity. Use the Prata model described in Equation 3.7.6 in the textbook to estimate the atmospheric emissivity corresponding to the measured data above. b) Using the emissivity from the Prata model and reference level air temperature from part a), estimate the incoming clear-sky longwave radiation for the given meteorological conditions. c) The Crawford model calculates the cloudy-sky emissivity based on the solar index as described in Equations 3.7.9 and 3.7.10 in the textbook. Describe how clouds change the incoming longwave radiation compared to clear-sky conditions (i.e. increase/decrease). HURRY GETTING TIMEDWhich expression is equivalent to 20 n=320 n=3 + 20n=3 A waiter Yo es el mesero. Ella soy el mesero. Ella es el mesero. Yo soy el mesero. I need a different answer then the sample!!!! 50 points!!What is your opinion of the rule? Do you follow the rule or do you ignore it?Under what circumstances would you vary from your usual habit of following itor ignoring it? Assume the price elasticity of demand is unit-elastic. If price changes from $21 to $19, then the quantity demand must change from Ca. 416 to 464 units. b. 180 to 210 units. Cc. 210 to 180 units. Od. 464 to 416 units. Question Suppose we have a business operating in six cities around the Pacific Rim: San Diego; San Francisco_ Tokyo, Shanghai, Manila, and Honolulu: We are interested in counting the number of ways wC can travel from one city to another with at most n stopovers We look up all the direct flights and put them in table: San Diego 17 San Francisco San Francisco / San Diego. Tokyo; Shanghai, Manila; Honolulu Tokyo San Francisco, Shanghai, Manila Shanghai San Diego; San Francisco, Tokyo, Manila Manila Tokyo, Shanghai, Honolulu Honolulu San Francisco, Shanghai, Manila. Let's say we want to get from San Diego to Manila with at most three stops along the way: For example, the trip going from San Diego through San Franeisco, then Honolulu; then Shanghai, then Manila is a trip with exactly three stops_ 5.1 Use Matlab to list all possible ways to get from San Diego to Manila with exactly three stops_ What is the speed of a wave that has a frequency of 173 hz and a wavelength of 2. 59 meters? express your answer to the nearest whole number. Which of the following properties is always true for a parallelogram?A. Diagonals bisect each otherB. Diagonals are perpendicularC. Diagonals are congruentD. Diagonals bisect opposite angles