The mass of the earth is 6x10^24 kg and that of the moon is 7.4x10^22 kg. If the radius of the moon is 1740 km, then find the value of g if the earth is compressed into the size of moon.​

Answers

Answer 1

Answer:

In the surface of the moon, gravitational acceleration is 1.63 m/s*2.

Explanation:

An object of mass M will accelerate gravitationally at a distance R if it is at the following distance:

g = G*M/R^2

Where the gravitational constant is G.

G = 6.67*10^(-11) m^3/(kg*s^2)

At the surface of a moon, the distance between its surface and its center will be equal to its radius, since a moon's mass is concentrated at its center, thus:

R = 1740 km

It's important to remember that we need meters in order to work:

1 km = 1000 m

so:

1740 km = (1740)*1000 m = 1740000 m

R =  1740000 m

Basically, the mass consists of:

M = 7.4x10^22 kg

Incorporating all that into the gravitational acceleration equation, we get:

g = (6.67*10^(-11) m^3 / (kg*s^2))*(7.4x10^22 kg) / ( 1740000 m)^2

g = 1.63 m / s^2

In the surface of the moon, gravitational acceleration is 1.63 m / s*2.


Related Questions

Is it possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg? Explain.

Answers

Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.

What is momentum?

The sum of an object's mass and velocity is termed as its momentum. It consists of both a magnitude and a direction, making it a vector quantity.



Reason for the above :

For the given momentum K.E. is inversely proportional to the mass. Hence, the fig with a mass of 0.04 kg has lower kinetic energy. For two bodies having same kinetic energy, the lighter one has greater momentum.

Hence, Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.

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An amusement park ride consists of a rotating circular platform 7.4 m in diameter from which 10 kg seats are suspended at the end of 1.81 m massless chains. When the system rotates, the chains make an angle of 26.6 degree with the vertical. The acceleration of gravity is 9.8 m/s
a). what is the speed of each seat? answer in units of m/s
b). if a child of mass 49.1 kg sits in a seat, what is the tension in the chain ( for the same angle)? answer in units of N

Answers

a) The speed of each seat in an amusement park ride of a rotating circular platform is calculated to be 5.57 m/s.

b) The tension in the chain if a child of mass 49.1 kg sits in a seat is calculated to be 650.79 N.

a) By drawing a free body diagram, we represent the two types of forces on the seat. They are represented by the equation, sum of forces in the y direction,

∑F = ma

T cos θ − mg = 0

T = mg / cos θ

Sum of forces in the centripetal direction,

∑F = ma

T sin θ = m v² / r

(mg / cos θ) sin θ = m v² / r

m g tan θ = m v² / r

g tan θ = v² / r

v = √(gr tan θ)

First, let us find the radius of the path,

r = 7.4 / 2 + 1.81 sin 26.6°

r =  3.7 + 1.81× 0.45 = 6.33 m

v = √(9.8 m/s² × 6.33 m × tan 26.6°)

v = √(9.8 × 6.33 × 0.5) = 5.57 m/s

b) T = mg / cos θ

T = (10 kg + 49.1 kg) (9.8 m/s²) / cos 26.6° = 579.2/0.89

T = 650.79 N

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particles q1=-53.0uC, q2=+105uC, and q3=-88.0uC are in a line. particles q1 and q2 are separated by 0.50m and q2 and q3 are separated by 0.95m. what is the net force on particle q3?

Answers

Answer:The answer sir would be 180.38

Explanation:

An electric penal sharpener is has a cument of 0.05A. The voltage is 6v. What is the resistance?

Answers

The total resistance in the circuit is 120 ohms

According to Ohm's  law E= I*R

where E => Electromotive force that we know as Voltage

I refer to the Current in the circuit

From the given law, we can say that

voltage = current x resistance

so voltage in the circuit is 6v

and the current in the circuit is 0.05A

and resistance is x ohms

so

6= 0.05*xx= 6/0.05x = 120

so the resistance in the circuit is 120 Ohms. The Current in the circuit is directly proportional to the voltage in the circuit at a constant resistance.

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Question 8 (2 points)
A negatively charged rubber balloon is sticking to Vivek's shirt. It is attracted to the
shirt's positive charges. He then pulls the balloon farther away from his shirt. How
does the electric force between the balloon and Vivek's shirt change when the
balloon is moved?
The electric force increases.
The electric force decreases.
The electric force does not change.

Answers

Answer:The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.

Explanation:

Organic matter such as wood, rice hulls, and sugar cane are all renewable and are examples of _____.

fission produces
nuclear fuels
fossil fuels
biomass

Answers

Answer:

d biomass

Explanation:

The answer would be D biomass

If you run at a consistent pace of 5 meters per second, how many meters could you run in
60 seconds?

Answers

5 × 60 = 300

Therefore, you could run 300 meters in 60 seconds.

Answer:

300 meters

Explanation:

5 x 60 = 300

The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics EXCEPT:

Answers

The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics except is pressure.

What is pressure?

Pressure is the amount of force applied over a given area. It is measured in units such as pounds per square inch (psi). Pressure can be applied to a variety of things including gases, liquids, solids, and vacuums. It can be caused by a variety of sources, such as gravity, electromagnetic fields, and electric currents. Pressure can also be applied to change the physical properties of a substance such as its temperature, density, or viscosity. It can be used to move objects, create energy, and form objects. Pressure is an important concept in many areas of science, ranging from physics to engineering.

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The nitrogen cycle is an example of a(n) cycle. Its processes include the conversion of atmospheric nitrogen into ammonia, which is called. Nitrogen is returned to the atmosphere in the process of.

Answers

The nitrogen cycle is an example of Nitrogen fixation and denitrification cycle.

What is nitrogen cycle?

The nitrogen cycle is the process by which nitrogen is converted between its various chemical forms. This process is essential for life on Earth, as nitrogen is a critical component of proteins, DNA, and other molecules that make up living organisms. The cycle is comprised of four main steps: nitrogen fixation, ammonification, nitrification, and denitrification. In the nitrogen fixation step, nitrogen gas from the atmosphere is converted into ammonia (NH3) or nitrogen oxide (NOx) molecules by certain bacteria and other organisms. In the ammonification step, organic nitrogen molecules are converted into ammonia. In the nitrification step, ammonia is converted into nitrate (NO3-) and nitrite (NO2-) molecules by bacteria. Lastly, in denitrification step, nitrate and nitrite are converted back into nitrogen gas by bacteria. The nitrogen cycle is a continuous process, with nitrogen molecules cycling between its various forms.

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Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 59 m long that spin at 14 rpm.

Answers

Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 59 m long that spin at 14 rpm. The Centripetal acceleration will be equal to 126.684 rad/sec².

We have specified the blade's length, which is radius r = 59 meters.

Angular speed ω= 14 rpm = 2x3.14x14 = 1.4653 rad/sec

                                                 60

Finding the centripetal acceleration is necessary.

Since centripetal acceleration is determined by

αc = v²/r² = ω²r ( as v =ωr)

hence, angular acceleration

αc = 1.4653 rad/sec x59 =126.684 rad/sec².

Centripetal; the rate of acceleration will be 126.684 rad/sec².

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Express, in terms of x, the value, in cents. of x pounds of 40-cent cookies and (30-x) pounds of 50-cent cookies.

Answers

The value, in cents. of x pounds of 40-cent cookies and (30-x) pounds of 50-cent cookies are x(40) + (30-x)(50) = 40x + 1500 - 50x = 1500 - 10x

What is pound?

The pound is a mass and weight measurement unit that is used in both the imperial and American customary systems. It is equal to 16 ounces or 0.45359237 kilograms. It is used in a variety of contexts, including engineering, commerce and finance, as well as everyday use. In the United Kingdom and other countries of the Commonwealth of Nations, it is the basis of their currency; one pound sterling is equal to 100 pence. The origin of the pound dates back to the Roman Empire, when it was known as the libra.

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According to the given statement 1500 -10x represents the equation in terms of x.

Is pound a mass or force?

The term "pound" can also refer to a unit of mass in other situations. The pound is a unit of mass, and the international standard sign for it is lb. The weight of the mass unit (pound-mass) onto Earth's surface is about equivalent to the force unit in the "engineering" categories (middle column) (pound-force).

We are assigned the task of expressing an equation in terms of x using the provided information.

In this case, we must multiply the pounds by the number of cookies.

Where,

x=pounds × cent cookies

In light of the fact that for x pounds of 40 cent cookies.

And (30-x) pounds of 50 cent cookies

Let us form an equations in terms of x:

⇒40x+50(30−x)

⇒40x+1500−50x

⇒1500−10x

As a result, 1500 -10x represents the equation in terms of x.

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A car goes forward along a level road with a certain acceleration, a. The additional force needed to bring the car into equilibrium is.

Answers

The additional force needed to bring the car into equilibrium is equal to the mass of the car times the acceleration of the car, or F = ma.

What is equilibrium?

Equilibrium is a state of balance and stability between opposing forces or actions. In economics, it refers to the point where the supply and demand for a given product or service are equal, and the market price of the product or service is stable. In physics and chemistry, equilibrium is a state in which different competing forces are balanced, so that no net change is observed. In biology, it is the ability of an organism to maintain a stable internal environment despite changes in external conditions. Ultimately, equilibrium is a state of balance, stability, and homeostasis.


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What happens when a baseball player runs from home plate to 1st base, from 1st to 2nd base, from 2nd to 3rd; and then back to home plate?

Answers

The team he is in scores
Good luck

please help Which of the following best describes scientific facts?

a.They are universally accepted as true.
b.They describe a certain phenomenon in nature.
c.They are regularly updated as new evidence arises.
d.They predict a relationship between variables.

Answers

Answer: a. They are universally accepted as true.

Explanation: Scientific facts must be universally accepted as true, if not they can't be accepted

How much does it cost to power a refrigerator for 30 days if it is rated at 200 watts and the power company chargers $0.035 per kWh

Answers

The required cost to power the refigerator is $5.04.

What is electric power?

Electric power is the rate at which electrical energy is transferred by an electric circuit.

To calculate the amount it takes to run the refrigerator, we use the formula below.

Formula:

A = 24NCP/1000..................... Equation 1

Where:

A = Amount it takes to power the refrigerator for 30 daysN = Number of daysC = Power company chargeP = Electric Power of the refrigerator

From the question,

Given:

A = 24×30×0.035×200/100A = $5.04

Hence, the cost is $5.04.

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What is the power (in Watts) of the Pokemon Hitmonlee that uses 237 N of force to move a huge boulder 83 m in 5s?

Answers

To calculate the power of Hitmonlee, you would use the formula power = work / time.

In this case, the work done by Hitmonlee is 237 N * 83 m, and the time it takes is 5s.

So:
power = (237 N * 83 m) / 5s = 14,021 N*m/s or Watt.

You serve a ball with a mass of 3.8 kg. The ball leaves your hand with a speed
of 38 m/s. What is the ball's kinetic energy?

Answers

Answer:

Below

Explanation:

Kinetic Energy = 1/2 m v^2

K.E. = 1/2 ( 3.8 kg) ( 38 m/s)^2 = 2743.6 J

A boy throws a 1 kg rock with a force of 5N. What is the acceleration of the rock when
he lets go of it?

Answers

Answer:

5m/s²

Explanation:

mass of the rock = 1kg

Force = 5N

As we know that,

Force= mass*acceleration

Substitute the respective values,

5N = 1kg * a

a = 5N/1kg

a = 5m/

And we are done!

Physical Appearance Bias Definition

Answers

Discrimination on the basis of the physical appearance of a person is called physical appearance bias.

Our society has constructed a notion of physical attractiveness. It is related to the quality of the social appearance. Physically attractive people are at advantage as compared to the people who are not physically attractive. Physical appearance bias is the discriminatory behavior provided by our society to the people who are not unattractive and not so good looking. This physical attribute may be the height, weight, color of the skin, etc. This perception of discrimination of our society more often results in adverse consequences.

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A steam powered generator. The diagram below shows the steps involved in using the energy in steam to generate electricity

Answers

Electricity can be generated from a steam turbine and used to power a bulb as shown.

How can power be generated from steam?

We know that the generation of electricity is largely linked to the principle of the transformation of energy or the conservation of energy which just portrays the idea that energy can neither be created nor destroyed but is converted from one form to another.

We can see that the fuel can be used to heat up the water in the image that is attached and the water is converted to steam and then the steam can be used to turn a steam turbine and electricity is produced that can be able to power a bulb.

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VT 106.00 V, T=?, R₁ = ?
V₁?, 1₁-?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3= 32.00 V, 13-?, R₂= 13.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the resistance at (R₂) which is the resistance of resistor two?
(Use one of the following choices for the unit: V, A, Ohms)

Answers

The resistance at R₂ is 13 Ohms.

What is resistance?

Resistance is a measure of the opposition to current flow in an electrical circuit. It is typically measured in units of ohms (Ω). It is the ratio of voltage across a component to the current flowing through it. A component with a high resistance allows less current to flow through it for a given voltage, while a component with a low resistance allows more current to flow for the same voltage. The resistance of a component can be affected by factors such as temperature, material, and dimensions.

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What allows negative feedback to control a system

Answers

Answer:

The system has parts that sense the amount of output, allows negative feedback to control a system

Explanation:

A boy i winging a toy on apiece of tring in a vertical circle. The toy ha ma 150g and the radiu of circle i 0. 8m. A) he wing the toy with a linear velocity 2m/. Will the top move in a circle? explain your anwer

Answers

If the boy swings the toy with a linear velocity of 2m/s, the toy will move in a circle. The force required to maintain the toy's motion IS 750g * m/s^2

The linear velocity of an object moving in a circle is related to its angular velocity (measured in radians per second) and the radius of the circle. The linear velocity is given by the equation: v = r * w, where v is the linear velocity, r is the radius of the circle, and w is the angular velocity.

In this case, the radius of the circle is 0.8m and the linear velocity is 2m/s. Therefore, the angular velocity of the toy can be calculated as: w = v/r = 2m/s / 0.8m = 2.5 rad/s.

The toy has a mass of 150g and it moves in a vertical circle with a radius of 0.8m and a linear velocity of 2m/s, so it will move in a circle. The force required to maintain this motion is the centripetal force, which is given by the equation F = m * a, where F is the force, m is the mass of the toy and a is the centripetal acceleration. The centripetal acceleration is given by the equation a = v^2/r, where v is the linear velocity and r is the radius of the circle.

So, the force required to maintain the toy's motion is F = m * a = 150g * (2m/s)^2 / 0.8m = 750g * m/s^2

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What is the power (in Watts) of a bus that uses 35 N of force to move 20 m in 5s?

Answers

Power is the rate at which work is done, and it is measured in watts (W). It can be calculated using the formula:

Power = Work / Time

Work can be calculated using the formula:

Work = Force x Distance x cos(theta)

where Force is measured in Newtons, Distance is measured in meters and theta is the angle between the force and displacement vectors.

As we are not giving any value for the angle between force and displacement vectors, we can assume it's zero degree, so the cos(0)=1

So we can plug in the given values to find the work done:

Work = 35 N x 20 m x 1 = 700 J

Now we can calculate power:

Power = 700 J / 5 s = 140 W

Therefore, the power of the bus is 140 Watts

if a cars engine is 27.5 effeicient at converting the fuels energt ubti necgabucal eberft if 1L of gasoline has 33.5J of input energy how much useful energy output will 2.50L of fuel provide

Answers

The efficiency of the engine is given 27.5%. The input energy of 2.5 L gasoline is 83.75 J. Then, the energy output will be 23.01 J.

What is engine efficiency ?

The efficiency of an engine is the ratio of its output work done to the energy input. No engine can have 100% efficiency. Hence, some energy is lost in the form of heat.

Given that, the efficiency of the car's engine is 27.5 %. Input energy of 1 L gasoline is 33.5 J. Then, energy input for 2.5 l is:

input energy = 2.5  × 33.5 = 83.75 J.

Engine efficiency = energy output/ input energy × 100

O/ 83.75J × 100 = 27.5 %

O/83.75 = 0.275

then output energy = 83.75 × 0.275 = 23.01 J.

Therefore, the energy output of the fuel is 23.01 J.

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In a paragraph of no less than five complete sentences, explain how the bubble gum
experiment demonstrates the Law of Conservation of Mass. Remember to use
proper grammar and mechanics when writing your paragraph.

Answers

The bubble gum experiment is a simple experiment that demonstrates the Law of Conservation of Mass. The experiment consists of blowing a bubble with bubble gum and then measuring the mass of the bubble gum before and after blowing the bubble. The Law of Conservation of Mass states that the total mass of a closed system remains constant over time. In this experiment, the bubble gum is the closed system and the mass of the bubble gum is measured before and after blowing the bubble. The result of the experiment is that the mass of the bubble gum before and after blowing the bubble is the same. This demonstrates that the mass of the bubble gum has not changed, and thus the Law of Conservation of Mass holds true. The experiment also shows that mass is conserved even when a physical change occurs, such as blowing a bubble. Overall, the bubble gum experiment is a simple and effective way to understand the concept of the Law of Conservation of Mass.

Which of these ranges of electromagnetic radiation has the shortest wavelengths? A. visible light. B. X-rays. C. infrared radiation. D. ultraviolet radiation

Answers

Answer:

Ultraviolet Radiation

Explanation:

UV radiation has the highest frequency/shortest wavelength.  

Range     Wavelength (nm)   [nm = nanometers; 10^-9m]

Ultraviolet   10-400 nm

Violet -       400-420  nm

Indigo -      420 - 440 nm

Blue -         440 - 490 nm

Green -     490 - 570 nm

Yellow -    570 - 585 nm

Orange -    585 - 620 nm

Red -          620 - 780 nm

Visible:  

A race car sets out on a 100.0 km race. At the halfway marker, the pit crew notes that the driver has averaged only 80.0 km/h. What speed must the driver maintain for the second half of the race in order to average 100.0 km/h overall?​

Answers

The driver has to maintain the speed of 133.3 km/h for second half of the race in order to average 100km/h.

What does "average velocity" and "speed" mean?

In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity. By dividing the entire distance the body has traveled by the amount of time it took to cross that distance, the average speed formula can be calculated.

To complete the race in 1 hr => 100 km/hr in a 100 km

Driver is going 80 km/hr at half way marker (50m).

Time taken to cover 50m = 50 km * (1 hr/80 km) = 5/8 hour.

Total time to complete the race on average 100 km/hr is 1 hr.  

Hence, time required to cover second half of the race => 1 hr - 5/8 hr          

                                                                                              => 3/8 hr

v= 50km/(3/8 hr) = 50*(8/3) = 133.3 km/h

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A pitcher applies an average force of 6.2 N in the forward direction on a baseball for 0.65 seconds. The baseball’s mass is 0.145 kg. and initial velocity is zero.
What momentum does the baseball have as it is released by the pitcher?
How fast is the baseball going after the impulse?
The catcher catches the baseball in the problem above. It takes 0.15 seconds to stop the ball. How much average force must the catcher apply during that time interval? (Ignore air resistance.)

Answers

Answer:

1. The momentum of the baseball as it is released by the pitcher is 0.913 Ns.

2. The velocity of the baseball after the impulse is 9.3 m/s.

3. The average force that the catcher must apply during the 0.15 second time interval is 12.2 N.

Explanation:

1. Momentum = Force x Time = 6.2 N x 0.65 s = 0.913 Ns

2. Velocity = Momentum / Mass = 0.913 Ns / 0.145 kg = 9.3 m/s

3. Force = Change in Momentum / Time = (0.913 Ns - 0) / 0.15 s = 12.2 N

A wire ring of internal radius 3cm and external radius 3.2 cm is rested on the surface of a liquid and then raised. An extra pulling force equivalent to the weight of 3.03g is required before the film breaks than it is after. Calculate the surface tension of the liquid.

Answers

The surface tension of the liquid is 24.1 g/m.

How can we calculate the value of the surface tension of the liquid?

To calculate the surface tension of the liquid, we can use the formula:

surface tension = (extra force required) / (length of the film)

extra force required = 3.03 g

internal radius = 3 cm = 0.03 m

external radius = 3.2 cm = 0.032 m

The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:

length of the film = (2 * pi * external radius) - (2 * pi * internal radius)

= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)

= 0.1257 m

So, the surface tension can be calculated as:

surface tension = (3.03 g) / (0.1257 m)

= 24.1 g/m

The surface tension of the liquid is 24.1 g/m.

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There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players of 6 players can the coach make, if the position does not matter? In the 1870s, African Americans served in political offices, including the U.S. House of Representatives and the U.S. Senate, under the Republican political party during Reconstruction. An initial investment of $930 is appreciated for 19 years in an account that earns 6% interest, compounded continuously. Find the amount of money in the account at the end of the period. PLEASE NEED ASAP!!Which of the following best represents the use of symbolism in The Gift of the Magi?The pier-glass is a symbol of Dellas vanity.Dellas hair is used to symbolize her worth to Jim.The queen of Sheba is portrayed as a symbol of beauty.The magi symbolize the spirit of giving. Describe the usefulness of frictional force when a soccer player runs with soccer boots Is 1/11 a irrational number? 2. (4)1 point possible (graded, results hidden)Recall for Define the kernel function Write as a function of the dot product . To answer, let , and enter in terms of . z^2 submitted Draw the flow chart to find roots of Quadratic equation ax+bx+c=0 When a hydrogen atom is part of a molecular structure, it is always a ___________ atom. Read the excerpts from Dr. King's "Letter from Birmingham Jail" and answer the question.[7] I had hoped that the white moderate would understand that law and order exist for the purpose of establishing justice, and that when they fail to do this they become dangerously structured dams that block the flow of social progress we who engage in nonviolent direct action are not the creators of tension. We merely bring to the surface the hidden tension that is already alive. We bring it out in the open where it can be seen and dealt with. Like a boil that can never be cured as long as it is covered up but must be opened with all its pus-flowing ugliness to the natural medicines of air and light, injustice must likewise be exposed, with all of the tension its exposing creates, to the light of human conscience and the air of national opinion before it can be cured.[8] We must use time creatively, and forever realize that the time is always ripe to do right. Now is the time to make real the promise of democracy, and transform our pending national elegy into a creative psalm of brotherhood. Now is the time to lift our national policy from the quicksand of racial injustice to the solid rock of human dignity.In 35 complete sentences, thoroughly explain how Dr. King develops the claim that racial injustices must be uncovered to be healed. Which sentences support the claim? Provide at least two specific examples from the text to show how the claim is developed and supported. please help A type of collagen that forms a very fine network of fibers in which the stem cells are interspersed is called Answer this one please! As we adjust to low light, our ______ becomes nonfunctional and it may take ______ for rhodopsin to become regenerated sufficiently so that you can see well in low-light conditions. Claire tried to evaluate an expression step by step.Find Claires mistakeTHIS IS An 8TH GRADE MATH PROBLEM PLS SOLVE ASAP FOR 10 POINTS I WILL REPORT INCORRECT ASNWERS :)) ________ films often include innovative technology, unexpected subject matter, and/or manipulated images. If the sum of the interior angle of a polygon is 1800 how many sides does it have Each of the following, except one, is a condition that characterizes a perfectly competitive labor market. Which is the exception Berkshire hathaways sharpe ratio is ________ than the aggregate stock market for the sample period? (please use the std sharpe ratios) What happened to jobs for women after the end of World War I Under which type of listing will an agent receive a commission only if he is the procuring cause of the sale?