F = (-3.4,7.0), where all components are in newtons. what is the magnitude (in newtons) of f?

Answers

Answer 1

The all components of force is F = ( -3.4 i + 7 j ) N  which has magnitude of | F | = 7.78 N.

We need to know about vectors to solve this problem. Force is included in the vector which has magnitude and direction. Force can be written as

F = Fx i + Fy j

where F is force, Fx is the force component on the x-axis, Fy is the force component on the y-axis.

From the question above, we know that

F = (-3.4 , 7.0)

Hence the force can be written as

F = ( -3.4 i + 7 j )N

The magnitude of this force can be determined as

| F | = √(Fx² + Fy²)

| F | = √((-3.4)² + 7²)

| F | = √(11.56 + 49)

| F | = 7.78 N

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Related Questions

write the energy conversion when climbing a ladder​

Answers

A child climbing a ladder is transforming kinetic energy into potential energy.

this pressure system brings cloudy and stormy weather

Answers

The pressure system that brings cloudy and stormy weather is a low-pressure system.

Low pressure systems are characterized by an area of low atmospheric pressure, which causes air to rise and create clouds. As the air rises, it cools, and moisture condenses, forming clouds and rain. This cycle repeats itself until the low-pressure system passes.

Low-pressure systems bring cloudy and stormy weather as they move through an area, as the air is unstable, and the clouds and rain form more quickly. Low-pressure systems can cause more severe weather when they are accompanied by strong winds.

When winds are strong, the pressure difference between the low pressure system and surrounding areas is greater, and the winds can help to push the system along, causing the formation of thunderstorms, heavy rains, and strong winds.

Low-pressure systems often form when warm air from the tropics meets cold air from the poles. This causes a pressure difference and the formation of low-pressure systems. Low-pressure systems can also be caused by the flow of air along the Earth's surface, and by the heating of the Earth's surface.

In summary, a low-pressure system is an area of low atmospheric pressure, which brings cloudy and stormy weather as the air rises and moisture condenses. Low-pressure systems can also bring more severe weather when accompanied by strong winds.

Low-pressure systems often form when warm air from the tropics meets cold air from the poles, from the flow of air along the Earth's surface, or from the heating of the Earth's surface.

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a 1300-kg cannon suddenly fires a cannonball at what is the recoil speed of the cannon? assume that frictional forces are negligible and the cannon is fired horizontally.

Answers

The recoil speed of the cannon after firing the cannonball is 0.0061 m/s.

What is the frictional forces?

To determine the recoil speed of the cannon, we can use the principle of conservation of momentum. According to this principle, the total momentum before the firing must be equal to the total momentum after the firing.

Given that the cannonball is fired horizontally, the vertical components of momentum are negligible. Therefore, we only need to consider the horizontal momentum.

The initial momentum of the system (cannon and cannonball) is zero since both are at rest. After the cannonball is fired, it gains momentum in one direction, causing the cannon to recoil in the opposite direction.

The magnitude of the momentum gained by the cannonball is given by:

momentum of cannonball = mass of cannonball × velocity of cannonball

Since the cannonball is not provided in the question, we cannot calculate this value directly. However, we can determine the recoil speed of the cannon using the mass of the cannonball.

By setting the momentum gained by the cannonball equal to the recoil momentum of the cannon, we can solve for the recoil velocity of the cannon.

Recoil momentum of the cannon = momentum of cannonball

recoil velocity of the cannon × mass of the cannon = mass of cannonball × velocity of cannonball

recoil velocity of the cannon = (mass of cannonball × velocity of cannonball) / mass of the cannon

Plugging in the given values, assuming the mass of the cannonball is 1 kg and the velocity of the cannonball is 200 m/s, and the mass of the cannon is 1300 kg:

recoil velocity of the cannon = (1 kg × 200 m/s) / 1300 kg

recoil velocity of the cannon ≈ 0.0061 m/s

Therefore, the recoil speed of the cannon after firing the cannonball is approximately 0.0061 m/s.

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Which statement is part of Dalton's atomic theory?
A. Atoms are composed of protons, neutrons, and electrons.
B. Elements can have atoms that are isotopes.
C. One type of atom cannot be changed to another type by a chemical reaction.
D. Electrons move around the nucleus in an electron cloud.

Answers

A. Atoms are composed of protons, neutrons, and electrons.

In the first section of his thesis, he claims that all matter is composed of indivisible atoms. The second part of the theory states that every atom in a certain element has the same mass and properties. Compounds, according to the third section, are combinations of two or more different kinds of atoms. Thus, option A is correct.

What best define about Dalton's atomic theory?

Atoms are the incredibly minuscule building blocks of all stuff. A given element's atoms are all the same size, mass, and other characteristics. Distinct elements' atoms have different mass, size, and other characteristics. Atoms can never be divided, produced, or eliminated.

Atoms are indivisible units that cannot be created or destroyed during a chemical process. Each atom of a certain element has the same mass and chemical properties. Atoms of various elements have weights and chemical properties that differ.

Therefore, Compounds are created when atoms combine in ratios of small whole numbers.

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What wave property is described as the number of waves produced by a source each second.

Answers

Answer:

Frequency

Explanation:

The Frequency of a wave is the number of waves produced by a source each second

A new kind of toy ball is advertised to "bounce perfectly elastically" off hard surfaces. A student suspects, however, that no collision can be perfectly elastic. The student hypothesizes that the collisions are very close to being perfectly elastic for low-speed collisions but that they deviate more and more from being perfectly elastic as the collision speed increases.(a) Design an experiment to test the student’s hypothesis about collisions of the ball with a hard surface. The student has equipment that would usually be found in a school physics laboratory.

Answers

The student can perform the following experiment: Measure the height of a table from the floor. Drop the ball from a known height and measure the height to which it bounces back. Repeat the process. Measure the speed of the ball just before it hits the surface. Plot the speed of the ball before and after. Compare the pre-collision and post-collision speeds of the ball.

What if the collisions are perfectly elastic?

If the collisions are perfectly elastic, the pre-collision and post-collision speeds should be equal. However, if the hypothesis is correct, the deviation from being perfectly elastic should increase with collision speed.

What is elastic collision?

An elastic collision is a type of collision in which the total energy of the two colliding objects remains constant.

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when is the kinetic energy of the mass a maximum?

Answers

The kinetic energy of the mass a maximum when (a) the spring is at its unweighted length (when it isn't stretched or compressed) .

What is Kinetic Energy ?

Kinetic energy is defined as the measure of the work that an object does when its in motion.

The total energy of the system of spring is equal to the kinetic energy of the mass (because spring has negligible mass) plus the elastic potential energy.

Since the above mentioned total energy is conserved, the kinetic energy is a maximum when the elastic potential energy is a minimum,

that occurs when the spring will be in its unweighted length , that means when it isn't stretched or compressed .

Therefore , the correct option is (a) .

The given question is incomplete , the complete question is

When is the kinetic energy of the mass a maximum?

(a) When the spring is at its unweighted length (when it isn't stretched or compressed)

(b) When the spring is most stretched

(c) When the spring is most compressed

(d) Both when the spring is most compressed and when the spring is most stretched .

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A student pushed a book with a mass of 1kg across a desk with an acceleration of 0. 5m/s2, a distance of 20m for two and a quarter minutes. Provide the force, work, and power the student applied, did, and has

Answers

The required force is calculated to be 0.5 N, work is 10 J and power is 0.074 Watt.

The mass of the book is given as 1 kg.

The acceleration of the book is given as 0.5 m/s².

The distance moved by the book is given as 20 m.

The time taken to move the book is given as 2 1/4 minutes = 9/4 minutes.

The force applied on the book is given as,

F = m a = 1 × 0.5 = 0.5 N

where,

F is force

m is mass

a is acceleration

The expression for work is known to be,

W = F . s = 0.5 × 20 = 10 J

where,

W is work

s is distance

The relation for power is known to be,

P = W/t = 10/(9/4 × 60) = 0.074 Watt

where,

P is power

t is time

Thus, the force is 0.5 N, work is 10 J and power is 0.074 Watt.

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Wind turbines work by converting __________ energy into _________ energy.
A. Chemical, Electromagnetic
B. Potential, Kinetic
C. Kinetic, Electric
D. Electric, Chemical

Answers

Answer: C

Explanation:

The kinetic energy of the wind turns the turbine which creates kinetic energy of it's own, this rotational kinetic energy can be called mechanical energy and is used to create electricity

calculate the average kinetic energy of the ch4 molecules in a sample of ch4 gas at 273 k and at 585 k. 273 k webassign will check your answer for the correct number of significant figures. j/mol 585 k webassign will check your answer for the correct number of significant figures. j/mol

Answers

The average kinetic energy of the methane CH₄ molecule at 273K and 585K is  565 x 10⁻²¹ J and 1.21 x 10⁻²⁰ J. respectively.

The average kinetic energy of a gas molecule is given by the formula,

K = 3/2K'T

Where,

K is the average kinetic energy,

K' is the Boltzmann constant,

T is the temperature.

So, putting values, to find the average kinetic energy of CH₄ molecule, first for 272K

K = 3/2 x 1.38 x 10⁻²³ x 273

K = 565 x 10⁻²¹ J

Now, for 585 K,

K = 3/2 x 1.38 x 10⁻²³ x 585

K = 1.21 x 10⁻²⁰ J.

So, these are average kinetic energies of the CH₄ molecule at 273K and 585K.

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Can anyone answer this Science question for me NO LINKS !!!!

Can anyone answer this Science question for me NO LINKS !!!!

Answers

Answer:

700 N right -->

800- (60+40)

800-100

700 N

Normal human body temperature is 98.6°F. What is this temperature expressed in Celsius (°C) and in Kelvin (K)?

Answers

Answer: 37 Celsius and 310.15 K

Explanation:

C/5 = (F-32)/9 = (98.6-32)/9 = 66.6/9 = 7.4

C = 7.4 * 5 = 37 so the temperature is 37 Celsius

K = C + 273.15 = 37 + 273.15 = 310.15 K

an elevator of mass 1000.0 kg is supported by a cable that can sustain a force of 12,000.0 n. what is the greatest upward acceleration that can be given the elevator without breaking the cable?

Answers

The greatest upward acceleration be  2.0 m/s².

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the elevator: m = 1000.0 kg.

The cable can sustain maximum force R= 12000.0 N.

If the maximum upward acceleration of the elevator be a, then equation of motion be:

R = mg + ma [ g = acceleration due to gravity = 10  m/s²

⇒ a =  R/m -g

⇒ a = 12000/1000 - 10

⇒ a = 2.0 m/s²

Hence, the greatest upward acceleration be  2.0 m/s² that can be given the elevator without breaking the cable.

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Which best describes energy changes in a system?


Energy is not conserved, but it cannot be created or destroyed.

Energy is conserved, but it can be created or destroyed.

Energy is conserved, and it cannot be created or destroyed.

Energy is not conserved, and it can be created or destroyed.

Answers

Answer:

The correct answer is: Energy is conserved, and it cannot be created or destroyed. This is known as the law of conservation of energy, which states that in a closed system, the total amount of energy remains constant and cannot be created or destroyed, only transformed from one form to another. This means that energy can be converted from one form to another, such as from potential energy to kinetic energy, but the total amount of energy in the system remains the same.

What does the following measurement mean? Wrist flexion: 15 – 85
degrees.
No limitation
A limitation in extension
A limitation in flexion
Limitation in both flexion and extension

Answers

The following measurement means "no limitation". This measurement indicates the range of motion for wrist flexion, which is the movement of the wrist towards the palm of the hand.

What is wrist flexion?

Wrist flexion is the movement of the wrist towards the palm of the hand. It is the opposite movement of wrist extension, which is the movement of the wrist away from the palm of the hand. Wrist flexion is an important motion for many daily activities such as typing, writing, and holding objects.

What does 15-85 degrees of wrist flexion mean?

When measuring wrist flexion, the range of motion is measured in degrees. In this case, the measurement is 15-85 degrees. This means that the normal range of motion for wrist flexion is between 15 and 85 degrees. If the measurement falls within this range, then there is no limitation in wrist flexion. However, if the measurement falls outside of this range, then there may be a limitation in wrist flexion.A limitation in extension refers to a decreased range of motion when moving the wrist away from the palm of the hand. A limitation in flexion refers to a decreased range of motion when moving the wrist towards the palm of the hand. A limitation in both flexion and extension refers to a decreased range of motion in both movements.

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(a) redraw your diagram of the eye correctly focusing a distant object onto the retina, assuming the eye is air-filled. show how this changes if the eye is actually filled with water. is the image now in front or behind the retina?

Answers

The diagram of the eye correctly focuses a distant object onto the retina when the eye is air-filled. The image formed will be behind the retina if the eye is filled with water.

The diagram of the eye is shown below: It correctly focuses a distant object onto the retina when the eye is air-filled. If the eye is actually filled with water, the image formed will be behind the retina. This is because the refractive index of water is higher than that of air, and this causes the image to be formed further back. The diagram below shows this change when the eye is filled with water.

The diagram of the eye correctly focuses a distant object onto the retina when the eye is air-filled. The image formed will be behind the retina if the eye is filled with water.

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define the term capacitance and its SI unit​

define the term capacitance and its SI unit

Answers

Answer:

See explanation below

Explanation:

Capacitance is the amount of electric charge stored on a conductor and its SI unit is Farads (F).

Answer:

capacitance is the amount electric charges of a conductor, its si is farads

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Two parallel wires carry currents in the opposite direction. If wire 1 has a current of i, while wire 2 has a current of 2 i, which current feels the stronger force?

Answers

If two parallel wires carry current in opposite directions, they repel each other whereas if two parallel wires carry current in same direction, they attract each other.

force of the wire2 will be more compared to that of wire1.

According to force formula, wire2 will generate more force compared to wire1

force=magnetic flux density × current × length

here,

current is directly proportional to the force, so with increase in current the force will also increase.

force depends on the length and current of the wire.

So, from this we can conclude that wire 2 will produce more force compared to wire 1.

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please help me i need help only way i’ll pass

please help me i need help only way ill pass

Answers

Answer:

they require a medium

Explanation:

your welcome.............

Use the energy equation from this week’s notes, your answer from

Answers

An energy equation is a chemical equation which involves the energy that is evolved or absorbed in the reaction.

What is energy?

The term energy refers to the ability to do work. An energy equation is a chemical equation which involves the energy that is evolved or absorbed in the reaction.

This question is incomplete as the former energy equation is not shown. However, such equations can be used to know an endothermic or exothermic reaction.

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Which method of popcorn popping transfers heat into the kernels without any direct
contact (nothing hot touched the kernels)? Explain.

Answers

Answer:

It is cause by radiation that's the answer

Explanation: the heat project sun rays towards the popcorn which causes it to pop

A bow is drawn so that it has 40 J of potential energy. When fired, the arrow will have a kinetic energy of: Select one: O a. 80) o b. 20) O 0.60) O d. 40)

Answers

When a bow is drawn and has 40 J of potential energy, the arrow's kinetic energy when fired will be:

Your answer: d. 40 J

Explanation:

Potential energy is the energy that an object possesses due to its position, configuration, or state of being. It is stored energy that has the potential to do work in the future. The amount of potential energy that an object has depends on its position or configuration relative to other objects or systems. For example, a bow that is pulled back has potential energy that can be released as kinetic energy when it is released.

Kinetic energy, on the other hand, is the energy that an object possesses due to its motion. It is the energy that an object possesses because it is in motion and is able to do work by causing a change in another object's motion or position. The amount of kinetic energy that an object has depends on its mass and its velocity. For example, a moving car has kinetic energy that can be transferred to another object if it collides with it.

When the bow is drawn, it stores potential energy. When fired, this potential energy is converted into kinetic energy for the arrow. In an ideal situation with no energy loss, the arrow's kinetic energy will be equal to the bow's potential energy. Therefore, the arrow will have a kinetic energy of 40 J.

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A plane is moving at a constant velocity.
That means
A. there is no net force on the plane.
B. there is a net upward force on the plane.
C. there is a net backward force on the plane.
D. there is a net forward force on the plane.

A plane is moving at a constant velocity.That meansA. there is no net force on the plane.B. there is

Answers

A. There is zero net force acting on the plane.

you fix a point-like light source 3.0 m away from a large screen and hold a basketball 1.0 m away from the screen so that the line connecting the center of the light source and the center of the basketball is perpendicular to the screen. you observe a shadow of the basketball on the screen. select two correct statements.
a. Moving the light source away from the scr een will produce a larger shadow b. Moving the basketball closer to the screen will produce a smaller shadow c. Moving the basketball and the light source away from the screen (while keeping the distance between the a. Moving the light source away from the screen will produce a larger shadow. b. Moving the basketball closer to the screen will produce a smaller shadow. c. Moving the basketball and the light source away from the screen (while keeping the distance between the light source and the basket- ball fixed) will not change the size of the shadow d. Moving the light source up ll result in moving the shadow down e. Moving the basketball up will result in moving the shadow down

Answers

The correct statements are a. Moving the light source away from the screen will produce a larger shadow and b. Moving the basketball closer to the screen will produce a smaller shadow.

When a point-like light source is fixed at a distance of 3.0 m from a large screen, the light rays coming from the source spread out in all directions. If a basketball is held 1.0 m away from the screen such that the line connecting the center of the light source and the center of the basketball is perpendicular to the screen, a shadow of the basketball is observed on the screen.The size of the shadow depends on the distance between the light source, the basketball, and the screen. When the light source is moved away from the screen, the light rays spread out over a larger area, resulting in a larger shadow. Therefore, statement a is correct. Similarly, when the basketball is moved closer to the screen, the shadow of the basketball becomes smaller because the light rays coming from the point-like source converge over a smaller area. Therefore, statement b is correct.

Moving the basketball and the light source away from the screen (while keeping the distance between the light source and the basketball fixed) will not change the size of the shadow because the ratio of the distances between the light source, the basketball, and the screen remains the same. Therefore, statement c is incorrect. Moving the light source up will not result in moving the shadow down because the direction of the light rays coming from the source is perpendicular to the screen, and the shadow will always be directly behind the basketball. Therefore, statement d is incorrect. Moving the basketball up will result in moving the shadow down because the position of the shadow is determined by the location of the basketball on the screen. Therefore, statement e is correct. In summary, the correct statements are a. Moving the light source away from the screen will produce a larger shadow and b. Moving the basketball closer to the screen will produce a smaller shadow.
I'm happy to help with your question. The main answer is: the correct statements are (a) and (e).. Moving the light source away from the screen will produce a larger shadow. This is because as the light source moves away, the angle of light hitting the basketball changes, causing a larger shadow on the screen.Moving the basketball up will result in moving the shadow down. When you raise the basketball, the shadow on the screen moves in the opposite direction, which is downward in this case.
1. Identify the effect of moving the light source or the basketball on the shadow.
2. Recognize that moving the light source away from the screen creates a larger shadow.
3. Understand that moving the basketball up causes the shadow to move down on the screen.
4. Conclude that the correct statements are

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two cars in an inelastic collision . A small car with a mass of 1600kg is moving east at 55 km/hr a van with a mass of 3300 kg is moving west 65 km/hr . calculate the speed and direction of the combined vehicles just after impact

Answers

The speed and direction of the combined vehicles just after impact is 7.2 m/s west.

What is final speed of the cars after the collision?

The final speed of the cars after the collision is obtained by applying the principle of conservation of linear momentum.

m₁u₁   +   m₂u₂ = v ( m₁ + m₂ )

where;

m₁ is the mass of the first carm₂ is the mass of the second caru₁ is the initial velocity of the first car = 55 km/h = 15.28 m/su₂ is the initial velocity of the second car = 65 km/h = 18.1 m/sv is the final velocity of the two cars

(1600 x 15.28) - ( 3300 x 18.1) = v ( 1600 + 3300)

-35,282 = 4,900v

v = -35,282  / 4,900

v = -7.2 m/s

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What is energy converted to if it is not used to do work?

Answers

Answer:

the human body isn't very efficient at converting food into useful work. The human body is less than 5% efficient most of the time. The rest of the energy is converted to heat, which may or may not be useful, depending on how cool or warm a person wants to be.

Explanation:

1. Biodiversity refers to the variety of life in an ecosystem.

False
True​

Answers

True
———————————- bbbnnn

Elevators lift loads by employing a motor and a complex system of pulleys. If the elevator converts all the energy used to work (no heat or friction is generated), how many Joules would be required to lift a 2,500 N load 15 m?​

Answers

Answer:

37,500 J

Explanation:

6. Borax was mined in Death Valley, California, during the nineteenth century. It
was transported from the valley by massive wagons, each pulled by a team of
21 mules. Suppose each mule's power output was 746 W (about 1 hp). If in a
certain time interval the total work done by the team on the wagon was
2.35x 10' J, how long was that interval of time?

Answers

The interval of time it takes for the team to do a work of 2.35×10⁷ J is 15000 seconds.

What is time?

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 interval the work was done by the team on the wagon, we use the formula below.

Formula:

t = W/P........... Equation 1

Where:

t = Interval of time it takes the team to do the workW = Total work done by the team on the wagonP = Power output of the team

From the question,

Given:

W = 2.35×10⁷ JP = 746×21 ( If each mole power output is 746 W)P = 15666 W

Substitute these values into equation 1

t = 2.35×10⁷/15666t =  1500 seconds.

Hence, the interval of time it takes to the the work is 15000 seconds.

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describe how a chain reaction can be set up if the neutrons produced by one fission
strike other U-235 nuclei

Answers

A chain reaction can be set up if the neutrons produced by one fission strike other U-235 nuclei if the three neutrons produced by the fission may hit other nuclei of uranium 235, causing the process to repeat.

What is a Chain reaction?

This is referred to as a chemical reaction or other process in which the products themselves promote or spread the reaction.

The products which are yielded initiate further processes of the same kind and in this scenario a chain reaction can be achieved if three neutrons produced by the fission may hit other nuclei of uranium 235 which will lead to a repetition of the process.

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What is an example of the lithosphere? Write a variable expression to express the following situation."John runs the same amount each day (r). If he runs for 4 daysthis week write an expression to represent the amount he ran thisweek." 4/10 + 40/100 = ? Help please Which car is faster A or B 2. The base of binary number system is 3. are used in groups to represent all other numbers. 4. The thelie of binary numbers means the operation of addition, subtraction D. S?? write a recursive function div37(start, stop) that takes in two integers start and stop, and returns a list of all integers that are divisible by 3 or 7 between start and stop, inclusive. if start > stop, the function should instead return the empty list, []. Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! what reactions occurs when sodium reacts with water a wheel on a game show is given an initial angular speed of 1.30 rad/s. it comes to rest after rotating through 3/4 of a turn. find the average torque exerted on the wheel given that it is a disk of radius 0.71 m and mass 6.4 kg. Given a rigid body with the inertia matrix (reference point is the center of mass): I = [150 0 -100 0 250 0 -100 0 300] kg middot m^2 (a) Solve for the principal moments of inertia.(b) Find a coordinate transformation to the principal axes (X, Y, Z) which diagonalizes this inertia matrix. Does the resulting transformation make sense (relate it to the elements in the original inertia matrix)?(c) Given this diagonal inertia matrix, discuss the stability of the rotation of the rigid body about each of the principal axes. HR creates revenue and profits for the organization by _______. Group of answer choices a. enhancing the productivity of the people within the organization b. participating in teams c. managing paper work d. controlling costs e. creating products How do companies use wikis? a. Companies share special deals and incentives in short messages of 140 characters or less.b. Corporate teams respond to internal and external customers in rapid-fire posts toemergencies and other high-pressure situations.c. Global companies share information between headquarters and satellite offices.d. Companies post photos and biographies of their top-tier managers Consider the problem of finding the minimum of f(x, x) = x + x2, subject to the constraints 1 and 2x + x2 4. (a) Does a minimum exist? Discuss, including a relevant diagram in your discussion. (b) Write the problem in the form (P) minimise f(x) subject to g(x) 0, i = 1, 2; and show that the problem is a convex programming problem. (c) Write down the Karush-Kuhn-Tucker conditions for this problem as satisfied by the minimiser x* = (x, x). By considering all the cases I(x*) = 0, {1}, {2}, {1,2}, confirm that the optimiser for (P) is * = (, ). Angelo the Alligator is laying out next to a perfectly circular pond. He is 25 feet from the edge of the pond and 45 feet from the point of tangency. Determine the radius of the pond. The length, breadth and height of Shashwat's classroom are 9 m, 6 m and 4.5 m respectively. It contains two windows of size 1.7 m x 2 m each and a door of size 1.2 m x 3.5 m. Find the area of four walls excluding windows and door. How many decorative chart papers are required to cover the walls at 2 chart paper per 8 sq. meters? The DSM-5 alternative personality model allows two different routes to diagnosis of personality disorders. Oneway is through ____.a. moderate impairment in two key domains of personality functionb. differential diagnosis into a specific categoryc. treatment with medication and psychoanalysisd. co-occurrence with other personality disorders Who is responsible for clearly expressing backlog items? what was the concentration of co2 in the atmosphere when the measurements at mauna loa began? Why is 1 kg of lead easier to carry around all day than 1 kg of feathers? suppose you have a box of size B*B*B cube, which line below will calculate the number of 2*2*2 cubes that could be placed inside? A. Cubes = round down(B^3)^(1/3)B. Cubes = round down(B^3)^(2/3)C. Cubes = (B^3)^(2/3)D. Cubes = round down(B/2)^3E. Cubes = (B/2)^3