Which of the following is a result of gravity counteracting outward pressure from
burning hydrogen?
A
the spherical shape of stars
B
the beginning of nuclear fusion
с
the collapse of nebulas
D
the birth of a protostar

Answers

Answer 1
The spherical shape of stars is due to gravity counteracting outward pressure from the heat.
Answer 2

The gravity counteracting outward pressure from burning hydrogen results in the spherical shape of stars. Hence, the gas is symmetrically dispersed around the centre  forming a shape of sphere.

What is gravity?

Gravity is the attractive force by which earth and other spatial objects attracts objects near their surface. Stars are formed from the dust and gaseous particles. The light and heat energy of stars is generating form the nuclear fusion.

Nuclear fusion is the process of fusing light nuclei to form a massive nuclei with the release of tremendous energy. In stars the major gas is hydrogen which fuses with other hydrogen isotopes forming helium nuclei.

The gas in the majority of stars is not concentrated in the center of the star and is not dispersed throughout space. The gas is distributed symmetrically around the center and takes on the shape of a perfect sphere or something very close to one thus the equal weight of gravity acting in all directions.

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Related Questions

Which element has the same number of valence electrons as krypton (Kr)?

fluorine (F)

chlorine (Cl)

neon (Ne)

selenium (Se)

Answers

Neon (Ne) Look at the periodic table :)

The element that has the same number of valence electrons as krypton (Kr) is known as Neon (Ne). Thus, the correct option for this question is C.

What are Valence electrons?

Valence electrons may be defined as the number of electrons present in the outermost shell of any atom during the time of electronic configuration. For example, Sodium has an atomic number of 11, its electronic configuration is 2, 8, and 1. It means that the valence electron on sodium is 1.

Neon and Krypton being the members of the same family which is known as noble gases or inert gases occupy the same valence electrons of eight in their outermost shell. It is group 8A of the periodic table. Apart from Ne, and Kr, other elements like argon, Xenon, and Radon also belong to the same family and occupy the same valence electron except for helium.

Therefore, the element that has the same number of valence electrons as krypton (Kr) is known as Neon (Ne). Thus, the correct option for this question is C.

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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)

you can help with a​

a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south,

Answers

The resultant of the displacement is 336.5m

What is resolution of vectors?

The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.

For the first displacement;

The vertical component = - 150 sin45 = -106.1 m

The horizontal component = - 150 cos 45° = -106.1 m

For the second displacement;

The vertical displacement = - 85sin90 = -85

The horizontal component = 0

For the third displacement;

The vertical displacement = 550 sin55 = 450.5

The horizontal displacement = 550 cos 55 = 315.5

Sum of vertical component = 450.5-85-106.1 = 263.4

sum of horizontal component = 315.5 -106.1 = 209.4

Using Pythagorean theorem

R = √ 263.4² + 209.4²

R = √113227.92

R = 336.5m

The resultant angle = tan^-1( 263.4/209.4)

= tan^-1(1.26)

= 51.56°

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Need ASAP!! An object lies motionless on a rough inclined surface .

Need ASAP!! An object lies motionless on a rough inclined surface .

Answers

Answer:

yes

Explanation:

yes

Answer:

that's true

Explanation:

if the rough inclined plane was rough enough than it would be true

WILL GIVE BRAINLIEST no spamming
How are stationary waves formed on a string?

Answers

Answer:

hey, please open my account and see my question, please help me solve the task, I have to send it to the teacher soon.

Answer:

When waves are generated and they reflect off a fixed end, the reflected waves are completely out of phase. The reflected waves and the incident waves interfere with each other along the path and results in the formation of nodes and anti-nodes. Nodes are points of completely out of phase interference and anti-nodes are points of completely in phase interference.

A spark ignition engine of four-cylinder four-stroke cycle of a
bore=88mm and a stroke of 84mm produce a torque of 160
N.m at 2200 rpm. The specific fuel consumption is 0.370
kg/kW.hr , the air fuel ratio is 18.5:1 and the LCV= 44500
kJ/kg. Determine:-
1-the brake power
2-the brake thermal efficiency
3-the volumetric efficiency if Pa= 1.0132 bar and Ta=310 K
4-the mean piston speed​

Answers

Answer:

1-Pb=36.86 Kw

2-nb= 22.3%

3-nV=52.69%

4-SP=369.9 m/s

Explanation:

*Note we have ideal gas so PV=mRT --> P=(m/V)RT--> P=pRT--> p= P/RT

A spark ignition engine of four-cylinder four-stroke cycle of a bore=88mm and a stroke of 84mm produce

In a ballistic pendulum, a spring pushes a ball from rest. It flies through the air and sticks in the base of a pendlum that swings upwards.

Given that the ball and pendulum reach a maximum angle of 45º, the pendulum is 30 cm long, the mass of the ball is 76 g, and the mass of the pendulum is 250 g, calculate the speed of the ball after it has left the spring but before it hits the pendulum. Do not include the units in your response.

Answers

Answer: EASY BROOOOOOOOOOOOOOOOOOOOOOOOO

Take a look inside your heart

Is there any room for me?

I would have to hold my breath

'Til you get down on one knee

Because you only want to hold me

When I'm looking good enough

Did you ever fault me?

Would you ever picture us?

Every time I pull my hair out

Was only out of fear

That'd you find me ugly

And one day you'll disappear

Because what's the point of crying?

It was never even love

Did you ever want me?

Was I ever good enough?

Question 9 (Worth 4 points)
(02.06 HC)
a. Create and describe a scenario in which the forces acting on an object are unbalanced. Explain how you know the forces are unbalanced.
b. For your scenario, explain how Newton's third law of motion describes the forces involved.

Answers

a. When a football is kicked and it moves from one location to another, it indicates that unbalanced troops are responding to it and b. If an object A applies a force to another object B, then the other object B.

Describe how the effects of balanced and unbalanced forces on motion:

The equilibrium of the forces is disturbed when an object's motion changes. Forces with opposite directions and equal sizes are said to be balanced forces. Motion remains constant when the forces are equal. In one of your scenarios from the previous section, you used the same amount of force on an object but pushed or pulled it in the opposite direction.

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The most distant galaxy we have observed is more than
13.2 billion light-years away.
What does this evidence indicate?
e
A. That the universe is less than 13.2 billion years old
B. That the universe will exist for at least 13.2 billion more years
C. That the universe is at least 13.2 billion years old
D. That the universe is infinitely large and has always existed

Answers

Answer:

That the universe is at least 13.2 billion years old

Explanation:

The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old

What is the universe?

The universe is the sum total of all existent matter and space. The universe is estimated to be at least 10 billion light-years across and contains an enormous number of galaxies;

It has been expanding since the Big Bang some 13 billion years ago.

The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old

Hence option c is correct.

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Please help! Can give brainliest too.

Please help! Can give brainliest too.

Answers

Explanation:

\(v = \sqrt{2ax}\)

Take the square of both sides:

\(v^2 = \left(\sqrt{2ax}\right)^2 = 2ax\)

Divide both sides by 2a and you will get

\(x = \dfrac{v^2}{2a}\)


In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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A shaft carries five masses A, B, C, D and E which revolve at the same radius in planes
which are equidistant from one another. The magnitude of the masses in planes A, C and
D are 50 kg, 40 kg and 80 kg respectively. The angle between A and C is 90° and that
between C and D is 135°. Determine the magnitude of the masses in planes B and E and
their positions to put the shaft in complete rotating balance.

Answers

The magnitude of the masses in planes B and E is 40 kg, and their positions are 120° and 240°, respectively, from the reference point on the shaft to achieve complete rotating balance.

To achieve complete rotating balance, the sum of the moments of the masses in planes A, C, D, B, and E should be equal to zero. Let's determine the magnitude of the masses in planes B and E and their positions.

Consider the moments of the masses in planes A, C, and D. The moment of a mass is given by the product of its magnitude and the sine of the angle between the mass and a reference line. The moments of masses A, C, and D are:

Moment of A = 50 kg * sin(0°) = 0 kg·m,

Moment of C = 40 kg * sin(90°) = 40 kg·m,

Moment of D = 80 kg * sin(135°) = -80 kg·m.

Since the moments of A, C, and D are known, we can use the principle of complete rotating balance to determine the magnitude and position of the masses in planes B and E.

Let's assume the magnitude of the masses in planes B and E as M. The moments of masses B and E can be represented as:

Moment of B = M * sin(120°) = M * √(3)/2,

Moment of E = M * sin(240°) = -M * √(3)/2.

Using the principle of complete rotating balance, the sum of the moments should be zero. Thus, we have:

Moment of A + Moment of C + Moment of D + Moment of B + Moment of E = 0.

0 + 40 kg·m + (-80 kg·m) + M * √(3)/2 + (-M * √(3)/2) = 0.

Simplifying the equation:

40 kg·m - 80 kg·m + M * √(3)/2 - M * √(3)/2 = 0,

-40 kg·m = 0.

From the equation, we can deduce that M must be equal to 40 kg to satisfy the condition of complete rotating balance.

Finally, we determine the positions of masses B and E. Since planes A, C, D, B, and E are equidistant from one another, and the angle between A and C is 90°, we divide the circle into 360°/5 = 72° sections. Thus, the positions of masses B and E are:

Position of B = 0° + 2 * 72° = 144°,

Position of E = 0° + 4 * 72° = 288°.

Therefore, the magnitude of the masses in planes B and E is 40 kg, and their positions to put the shaft in complete rotating balance are 144° and 288°, respectively, from the reference point on the shaft.

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Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

Answers

Answer: The scenario violates the second law of thermodynamics.

Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.

Calculate the speed of an ancient ship that registers a distance of 3482m in 1 h​

Answers

Hello..! :)

The speed of the ancient ship is 3482 meters per hour or 96.72 centimeters per second.

Explanation:

Data:

D = 3482mT = 1hV = ?

Formula:

V = D/T

Developing:

V = 3482m/1hV = 3482 m/h

Now, we convert to see what its speed is in cm/s.

Conversion:

3482m/h (1m/100cm) (1h/3600s)

V = 96.72 cm/s

¿Doubts? On the comments. Greetings :D

Answer:

Thanks For the points

It is or 96.72 cm/s

A block m1 rests on a frictionless surface. A second block m2 sits on top of the first block. Here m1 = m2 = m. A horizontal force F is applied to the bottom block to pull it to the right as shown below. Assume that the blocks move together across the surface (block m2 does not slide off of block m1).

Answers

A block resting on a frictionless surface experiences a horizontal force that pulls another block atop it to the right, where the two blocks travel in tandem without slamming.

How much static friction is there between the upper and bottom blocks?

Response and justification The higher block's acceleration is also equal to 3 m/s2 because there is no relative motion between the upper and lower blocks.

What is the static friction coefficient between block A and a flat floor?

Block A and a level floor have a static friction coefficient of 0.45, while Block B has a static friction coefficient of 0.30. Each brick weighs 2.0 kg.

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Materials that are poor conductors are poor insulators.
true
false

Answers

Insulators oppose current and make poor conductors so poor conductors are poor insulators

False, the materials that are poor conductors are not poor insulators.

Materials that do not allow electricity to flow or pass through them, are called insulators or poor conductors of electricity. Electric charges are absent in Insulators, and they don't have free electrons in their outer orbits.

Similarly, Materials that do allow electricity to flow or pass through them, are called conductors or poor insulators of electricity. They conduct electricity because they have free electrons in their outer orbits, and also do have Electric charges.

Some common examples of conductors are copper, aluminum, and gold. Some common examples of insulators are glass, air, plastic, rubber, and wood.

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Which combination of a wire coil and a core would make the strongest
electromagnet?

A. 200 coils of bare wire around a hollow cardboard core

B. 200 coils of insulated wire around a steel bolt

C. 50 coils of insulated wire around a hollow cardboard core

D. 50 coils of bare wire around a steel bolt

Answers

Answer:B

Explanation:Just took it.

200 coils of insulated wire around a steel bolt is the strongest electromagnet among them. Hence, option (A) is correct.

What is electromagnet?

A wire coil is used to build electromagnets (wire curled in series). In comparison to a straight wire, this is more efficient in creating a magnetic field. A powerful magnetic core consisting of a magnetic substance, such as iron, can be tightly wound around a wire to enhance this effect.

In electromagnet, the core serves a great role in creating magnetic field.  The core of ferromagnetic materials is far efficiency compared to hollow cardboard core. And  the more number of turns means more amount of current passes through it and the strength of the electromagnet is more. That is why, 200 coils of insulated wire around a steel bolt is the strongest electromagnet among them.

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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Which of the following do you ALWAYS have to have in an electric circuit?
O ammeter
O wire
O voltmeter
O switch

Answers

Answer:

ammeter

Explanation:

to get a person who lives in your yard you have a great

Prepare a 20 question test with answers about chemical names, formulas, and chemical reactions.

Answers

1. The substance equation for water is \(H_2O\).

2. The compound name for table salt is sodium chloride \((NaCl)\).

3. The synthetic equation for carbon dioxide is \(CO_2\).

4. The substance name for baking soft drink is sodium bicarbonate \((NaHCO_3)\).

5.  The substance recipe for methane is \(CH_4\).

6. The compound name for vinegar is acidic corrosive \((CH_3COOH)\)

7.  The compound equation for smelling salts is \(NH_3\).

8. The compound name for blanch is sodium hypochlorite \((NaClO)\).

9.  The synthetic equation for hydrogen peroxide is \(H_2O_2\).

10. The synthetic name for rust is iron oxide \((Fe_2O_3)\).

11.  The compound recipe for sodium hydroxide is \(NaOH\).

12. The substance name for lye is sodium hydroxide \((NaOH)\).

13. The synthetic equation for sulfuric corrosive is \(H_2SO_4\).

14. The compound name for gypsum is calcium sulfate dihydrate \((CaSO_4.2H_2O)\).

15. The substance equation for table sugar is \(C_1_2H_2_2O_1_1\).

16. The synthetic name for anti-inflamatory medicine is acetylsalicylic corrosive \((C_9H_8O_4)\).

17. The compound recipe for calcium carbonate is \(CaCO_3\).

18. The substance name for baking powder is a combination of sodium bicarbonate \((NaHCO_3)\) and an acidic fixing like cream of tartar \((KC_4H_5O_6)\).

19. The synthetic equation for sodium chloride is \(NaCl\).

20. The substance name for hydrogen gas is \(H_2\).

The questions are:

1. What is the synthetic recipe for water?

2. What is the substance name for table salt?

3. What is the compound equation for carbon dioxide?

4. What is the synthetic name for baking pop?

5. What is the substance equation for methane?

6. What is the synthetic name for vinegar?

7. What is the substance equation for alkali?

8. What is the substance name for blanch?

9. What is the compound recipe for hydrogen peroxide?

10. What is the synthetic name for rust?

11. What is the synthetic equation for sodium hydroxide?

12. What is the synthetic name for lye?

13. What is the substance recipe for sulfuric corrosive?

14. What is the substance name for gypsum?

15. What is the synthetic recipe for table sugar?

16. What is the substance name for anti-inflamatory medicine?

17. What is the synthetic equation for calcium carbonate?

18. What is the synthetic name for baking powder?

19. What is the substance equation for sodium chloride?

20. What is the substance name for hydrogen gas?

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We all have a tendency to make illusory correlations from time to time. Try to think of an illusory correlation that is held by you, a family member, or a close friend. How do you think this illusory correlation came about and what can be done in the future to combat them?

Answers

Answer:

Thats a personal question

Explanation:

It asks about you

(illusion is something you think is there but is not)

Seeing the dirty look on a friend's face, we assume that he is angry with us, but he may be having a bad day, or may be thinking something that is reflected in his face. We should always ask someone instead of assuming.

What is an illusory correlation?

Illusory correlation is defined as the phenomenon of assuming a relationship between variables even when no such relationship exists where a false association can be made because rare or novel events are more prominent and therefore attract one's attention.

Illusory correlation occurs when two different variables occur at the same time, with an unproven connection made on the basis of little evidence. An example of this would be when a person has a bad experience with a lawyer and they immediately assume that all lawyers are bad people.

Thus, we should always ask someone instead of assuming.

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Một khối khí hidro bị nén đến thể tích bằng 1/2 lúc đầu khi nhiệt độ không đổi. Nếu vận tốc trung bình của phân tử hidro lúc đầu là V thì vận tốc trung bình sau khi nén là bao nhiêu ?

Answers

answer: what language is this???

Insulator: After several contacts with the charged ball, how is the charge on the rod arranged? negative charge on end A with end B remaining almost neutral; When the sphere is touched to end A, some of its negative charge will be deposited there

Answers

After several contacts with a charged ball, the charge on the rod will become negatively charged on end A with end B remaining almost neutral.

When the charged ball is touched to end A, some of its negative charges will be transferred to the rod and deposited at end A, increasing the negative charge on that end. End B will remain neutral or nearly neutral since no charge has been transferred to it.

The process of charging a rod by contact with a charged ball is called "contact charging." In this process, electrons from the charged ball transfer to the rod, causing the rod to become charged.

When the charged ball is touched to end A of the rod, electrons from the ball are transferred to the rod and accumulate at that end, giving it a negative charge.

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What is sound waves

Answers

Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.

Characteristics of sound waves

Frequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).

Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.

Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.

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An unstretched ideal spring hangs vertically from a fixed support. A 0.4 kg object is then attached to the lower end of the spring. The object is pulled down to a distance of 0.35 m below the unstretched position and released from rest at time t= 0. A graph of the subsequent vertical position y of the lower end of the spring as a function of t is given above, where y= 0 when the spring was initially unstretched. At which time is the upward velocity of the object the greatest?

Answers

Answer:

The correct answer will be "0.25 sec".

Explanation:

The graph of the given question is attached below.

According to the graph of the question,

Time,

T = 1 sec

For the upward velocity,

⇒ \(t = \frac{T}{4}\)

By putting the value, we get

⇒    \(=\frac{1}{4}\)

⇒    \(=0.25 \ sec\)

An unstretched ideal spring hangs vertically from a fixed support. A 0.4 kg object is then attached to

8. All nuclear power plants have backup generators in case the plant stops producing electricity. Why is this necessary? What exactly are the generators providing power for? What might happen if these backup generators fail?

Answers

Nuclear power plants have backup generators to ensure that essential equipment, such as cooling systems, can continue to function in the event of a power outage or other emergency.

Nuclear power plants rely on a constant supply of electricity to operate the equipment that controls the nuclear reaction and cools the reactor. If the power supply is interrupted, the reactor can overheat and damage can occur. Backup generators provide power to essential equipment, such as cooling systems, that keep the reactor and spent fuel pools from overheating.  If the backup generators fail, there is a risk of a nuclear accident, as was seen in the disaster in 2011, where the failure of backup generators led to a loss of cooling and a major nuclear incident.

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Which type of color is most associated with emotions and attributes such as
calmness, sadness, and stillness? Choose the answer.
neutral
dynamic
warm
cool

Answers

I believe that cool colors is the correct answer

The colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.

Thus, the colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.

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List 3 things both geocentric and heliocentric were goods at explaining

Answers

Both were created by a Greek astronomer. Both are ways to display the Universe. The models both contain 3 main objects: Earth, Sun, and other planets. Planets orbit in some way.

What is the total charge of barium oxide?

Answers

Barium cation has +2 charge and oxide anion has −2 charge
+2-2 the answer on top or right

Part-II Work out Step by step clearly (6%) 5. A 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Calculate the total work done by the force? (1%)​

Answers

If a 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Then the total work done by the force is equal to π/2 + 1.

To calculate the total work done by the force in this scenario, we can use the formula for work:

Work = ∫F(x) dx

where F(x) is the force as a function of position and dx represents an infinitesimal displacement.

In this case, the force is given by F(x) = √(1 - x²), and we need to find the total work done as the object moves from xo = -1 to xf = 1.

Let's break down the calculation step by step:

Write the integral for work:

Work = ∫F(x) dx

Substitute the given force:

Work = ∫√(1 - x²) dx

Integrate with respect to x:

To integrate the square root of (1 - x²), we use the trigonometric substitution. Let's substitute x = sin(θ) and dx = cos(θ) dθ.

Work = ∫√(1 - sin²(θ)) cos(θ) dθ

Simplify the integrand:

Using the trigonometric identity sin²(θ) + cos²(θ) = 1, we can rewrite the integrand as cos²(θ).

Work = ∫cos²(θ) dθ

Apply the power-reducing formula:

The power-reducing formula states that cos²(θ) = (1 + cos(2θ)) / 2. We can use this formula to simplify the integrand further.

Work = ∫(1 + cos(2θ))/2 dθ

Integrate the terms separately:

Work = (1/2) ∫dθ + (1/2) ∫cos(2θ) dθ

The first integral, ∫dθ, is simply θ, and the second integral, ∫cos(2θ) dθ, can be calculated as sin(2θ)/2.

Work = (1/2) θ + (1/2) (sin(2θ)/2) + C

Evaluate the integral limits:

To find the total work done, we need to evaluate the integral at the upper and lower limits of integration.

At xf = 1, the angle θ is π/2, and at xo = -1, the angle θ is -π/2.

Work = (1/2) (π/2) + (1/2) (sin(2(π/2))/2) - [(1/2) (-π/2) + (1/2) (sin(2(-π/2))/2)]

Simplifying further:

Work = π/4 + (1/2) - (-π/4 + (1/2))

Work = π/4 + 1/2 + π/4 + 1/2

Work = π/2 + 1

Therefore, the total work done by the force is equal to π/2 + 1.

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Q 1-1 Marks If a car moved one full circular track of 15 Km, which sentence describes its motion?​

Answers

The sentence that best describes the motion is "the motion is a circular motion and has completed one revolution".

Question: "If a car moved one full circular track of 15 Km, which sentence describes its motion?​"

What is a circular motion?

An object moves in a circle at a constant speed in a motion known as uniform circular motion. Any point on a propeller, for instance, that is spinning continuously, is moving uniformly in circles.

There are two types of circular motion: uniform and non-uniform.

Circular motion can be seen in the orbit of a satellite, ice skaters moving at a constant speed in a circle, and vehicles traveling in a circle.

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