Consider this situation: A child is holding onto a tree rope and swinging through the air.

Of the forces listed, identify which act upon the child.
a. Normal Force
b. Gravity Force
c. Applied Force
d. Friction Force
e. Tension Force
​f. Air Resistance Force

Answers

Answer 1

Final answer:

In the scenario of a child swinging on a rope, the acting forces are the gravity force, tension force, and air resistance force. Normal force and applied force are not directly acting on the child in the swing, and friction force is not a significant factor in this context.

Explanation:

When a child is swinging through the air while holding onto a tree rope, the child is subject to several forces. Among the forces listed, the following forces act upon the child:

Gravity Force: This is also known as weight, represented by W in the free-body diagram. It pulls the child directly downwards towards the center of the Earth.

Tension Force: Represented by T in the free-body diagram, this force is exerted by the rope on the child, pulling upwards and often inclined depending on the motion of the swing.

Air Resistance Force: As the child swings, they encounter air resistance that opposes their motion through the air.

The normal force does not act upon the child while they are swinging because there is no perpendicular contact with a solid surface like the ground or a table. Applied force would be present if someone or something else is pushing the child to start the swinging motion or to keep it going. However, for the child simply swinging, we do not consider an ongoing applied force. Friction force is usually associated with contact between two surfaces, such as the wheels of a wagon rolling on the ground. Therefore, friction is not a significant factor when considering a child swinging on a rope.

Using this understanding, we can create a free-body diagram that includes only external forces such as gravity force, tension force, and air resistance force to analyze the child's motion.


Related Questions

Which can cause blockage of the ear canal, leading to hearing loss? aging disease earwax noise

Answers

Explanation:

Earwax helps to protect your ears from infection so if you like chewing gum, this helps in removing the wax. But this might not happen at your young age. So if you grow and still likes chewing gum it will remove the wax completely thereby leading to loss on hearing

A 2.3 kg block slides along a frictionless
horizontal with a speed of 5.3 m/s. After
sliding a distance of 8 m, the block makes
a smooth transition to a frictionless ramp
inclined at an angle of 43° to the horizontal.
The acceleration of gravity is 9.81 m/s.
5.3 m/s
2.3 kg
How far up the ramp does the block slide
before coming momentarily to rest?
Answer in units of m.

Answers

Answer:

The block slides 2.1 m up the ramp before coming momentarily to rest

Explanation:

Let the maximum height reached by the block be 'h' m.

Given:

Mass of the block is 2.3 kg.

Initial velocity of the block is, [tex]u=5.3\ m/s[/tex]

Since, the block comes momentarily to rest, the final velocity is zero.

Final velocity at the maximum height of the ramp is, [tex]v=0[/tex]

Acceleration due to gravity is, [tex]g=9.8\ m/s^2[/tex]

Angle of inclination is, [tex]\theta=43\°[/tex]

Now, since all the surfaces are frictionless, we can apply law of conservation of energy.

Therefore, as per conservation of energy,

Decrease in kinetic energy = Increase in potential energy

[tex]\frac{1}{2}m(u^2-v^2)=mgh\\\frac{1}{2}(5.3^2-0)=(9.8)h\\9.8h=\frac{28.09}{2}\\h=\frac{28.09}{2\times 9.8}=1.43\ m[/tex]

The maximum height reached by the block is 1.43 m. Now, the distance traveled along the ramp is the hypotenuse.

The hypotenuse length of the block along the ramp is given as:

[tex]L=\frac{h}{\sin \theta}\\\\L=\frac{1.43}{\sin 43\°}\\L=2.1\ m[/tex]

Therefore, the block slides 2.1 m up the ramp before coming momentarily to rest.

A feather is dropped onto the surface of the moon. How far will the feather have fallen if it reaches the surface in 9.00 seconds?

Given: g on moon = –1.63 meters/second2

Answers

Answer: 66m

Explanation:

Using equation of motion;

S = ut + 1/2gt²

u = 0 ( initial velocity wasn't given)

t = 9s

g = 1.63m/s²

S = 0 + 0.5*(1.63)*(9²)

S= 66.015m

Newton third law states that what objects and what forces on each other

Answers

"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"

Explanation:

Newton's third law of motion states that:

"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"

it is important to note that the pair of forces (action and reaction) do not act on the same object, but on different objects: therefore, they never appear in the same free-body diagram of an object.

There are several examples where Newton's third law is applied in daily life. For instance:

A book at rest on the table: the book exerts a downward force on the table, and the table exerts an upward force (normal reaction) on the bookIf you push against the wall, you exert a force (action) on the wall, and the wall exerts a force (reaction) back on you, of equal magnitudeA satellite in orbit around the Earth: the gravitational force exerted by the Earth on the satellite is equal to the gravitational force exerted by the satellite on the Earth

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The density of a material is calculated by:

Answers

Answer:

The density of the material is defined as the mass of the material to its volume.

                           ρ = M / V

Explanation:

The density of the material is a scalar quantity.

If the mass and the volume of the material is known the density of the material can be calculated using the formula,

                                     ρ = M / V

The mass of the material can be found using a physical balance.

The volume of a geometrically symmetrical material can be found using the geometrical measurement. For a brick,

                                              V = l x b x h

For non-geometrically shaped material the volume can be found from the displacement method using water.

If the earth has a radius of 6.4 x 10^6 and it spins once per day, what is the centripetal force on a 100 kg man who is on the equator? This would make him weigh (less/more) by ____N

Answers

Answer:

The spinning of the Earth would make him to weigh less.

Explanation:

Given data,

The radius of the Earth, R = 6.4 x 10⁶ m

The rotational period, T = 86400 s

The mass of the man, m = 100 kg

The centripetal force at equator,

                             f = m v²/R

Since,

                              T = 2π/ω   & v = Rω

                              v²/R = 4π²R/T²                  

Substituting in the equation for centripetal force,

                                    f =  4π²mR/T²      

Substituting the values,

                                    f = 4π² x 100 x 6.4 x 10⁶ / 86400²

                                       = 3.39 N

The centripetal force is directed along the radius towards the center, the centrifugal force acts opposite to it.

The gravitational force acting the man towards the center,

                                   F = mg

                                      = 100 x 9.8

                                       = 980 N            

The net force acting on the person,

                                   F'  = F - f

                                        = 980 N - 3.39 N  

                                        = 976.61 N

Hence, this would make him to weigh less.      

explain why a description of position depends on a refrence point.​

Answers

Answer:

starting point you choose to describe the location, or position, of an object. A description of position depends on a reference point because if the reference point changes than the distance and direction can change. Before the weight was moving two forces were acting on it.ation:

What is newton's third law second law first law ?​

Answers

Answer:

first law: an object remains in uniform motion except an external force has acted upon it eg a ball in stable motion doesn't move until one moves or kicks it

second law:the body acted upon by an external force gains a momentum which is directly proportional to the applied force and acts in the direction of the force

third law: to every action there is an equal and opposite reaction eg if u push someone the person moves backward away from you and not towards you

Answer:

Newton's Second law of motion: "Force = mass × acceleration."

Newton's Third law of motion: "Every action has an equal and opposite reaction."

Explanation:

An example of Newton's third law is when a rocket is launched, the boosters apply force on the ground and the ground pushes back, which makes the rocket take off.

1 - It is okay to use slang on a record as long as the auditor can interpret it.
True
False
2 - Never access social media accounts at work.
True
False
3 - Refrain from using profanity in the workplace.
True
False
4 - Chemical components contained in a product can be found in a(an) _______. A) chemical manual
B) procedures manual
C) Safety Data Sheet (SDS)
D) Material Data Sheet (MDS)
5 - To ensure a positive outcome it is essential for a group to be able to effectively communicate with one another within the workplace. What is this process known as?
A) Teamwork
B) Verbal communication
C) Groupthink
D) Planning
6 - _______ is a skill and behavior from a person trained to do their job well.
A) Teamwork
B) Professionalism
C) Planning
D) Communication
7 - These records are used to assist in providing a basis for quality improvement within the CS department.
A) Personnel monitors
B) CE educational records
C) Competencies
D) Training plans
8 - Employees in-services are an example of which of the following?
A) Personnel monitors
B) Continuing education records
C) Competencies
D) Training plans
9 - Which of the following organizations monitors exposure to hazardous materials?
A) EPA
B) OSHA
C) FDA
D) AAMI
10 - If a fire occurs, who should the staff rescue first?
A) Doctor
B) Tech
C) Patient
D) Nurse

Answers

1. false 2. false 3. true 4. not sure 5. b 6. b or d 7. not sure 8.not sure 9. not sure 10. c

lol sorry if i’m wrong on any i’m just using common sense

Arthur reads an article describing an experiment to test the effects of caffeine on the reaction time of humans—how long it took them to respond to a particular signal. In the experiment, the subjects' reaction times were measured, then they were divided into three groups. One group was given a high dose of caffeine. The second group was given a medium dose of caffeine. The third group was given a sugar pill that had no caffeine. After waiting 45 min for the caffeine to take effect, the reaction times were measured again.

In the experiment Arthur read about, what was the dependent variable?
A.
the amount of caffeine given to each person
B.
the type of signal each person responded to
C.
the amount of time the caffeine was given to take effect
D.
the change in reaction times for each person

Answers

Answer:

the change in reaction times for each person

Explanation:

Final answer:

The dependent variable in Arthur's article on the effects of caffeine on human reaction time is the change in reaction times for each person after consuming caffeine or a placebo.

Explanation:

In the described experiment, the dependent variable is the change in the subjects' reaction times after they have been administered varying amounts of caffeine or a placebo. This is because the dependent variable is the factor that the researchers are measuring to see if it changes in response to the manipulation of the independent variable (in this case, the amount of caffeine given to each person). The different doses of caffeine or the placebo (sugar pill) represents the independent variables, because they are what the researchers are manipulating to see if there is an effect on the dependent variable.

Therefore, the correct answer to the question 'In the experiment Arthur read about, what was the dependent variable?' is D. the change in reaction times for each person.

On Earth, you swing a simple pendulum in simple harmonic motion with a period of 1.6 seconds. What is the period of this same pendulum on the Moon? Assume the Moon’s acceleration due to gravity is 1/6 of the acceleration due to gravity on Earth.

Answers

The period of the pendulum in the Moon is 3.9 s

Explanation:

The period of a simple pendulum is given by the equation

[tex]T=2\pi \sqrt{\frac{L}{g}}[/tex] (1)

where

L is the length of the pendulum

g is the acceleration due to gravity

Here we have a pendulum whose period on Earth is

[tex]T_e = 1.6 s[/tex]

where on Earth, the acceleration due to gravity is

[tex]g_e = 9.8 m/s^2[/tex]

So eq.(1) can be written as

[tex]T_e = 2\pi \sqrt{\frac{L}{g_e}}[/tex] (2)

When the same pendulum is moved to the Moon, its length does not change, so its period on the Moon is given by

[tex]T_m = 2\pi \sqrt{\frac{L}{g_m}}[/tex] (3)

where

[tex]g_m = \frac{1}{6}g_e[/tex] is the acceleration due to gravity on the Moon (1/6 of that on the Earth)

Dividing eq.(3) by eq.(2), we get

[tex]\frac{T_m}{T_e}=\sqrt{\frac{g_e}{g_m}}=\sqrt{\frac{g_e}{\frac{1}{6}g_e}}=\sqrt{6}[/tex]

Therefore, the period of the pendulum on the moon is

[tex]T_m = \sqrt{6}T_e = \sqrt{6}(1.6)=3.9 s[/tex]

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a 5.000 kg crate is accelerated from 5.000 m/s to 10.00m/s what is the amount of work needed to accelerate the crate to the nearest tenth of a joule

Answers

Final answer:

To find the work needed to accelerate the crate from 5.000 m/s to 10.00 m/s, we calculate the change in kinetic energy, which comes out to be 187.5 J when rounded to the nearest tenth.

Explanation:

To determine the work done on the crate, we can use the work-energy principle which states that the work done on an object is equal to the change in its kinetic energy. The kinetic energy (KE) of an object is given by the equation KE = ½mv², where m is the mass and v is the velocity.

First, we calculate the initial kinetic energy (KEi) using the initial speed of 5.000 m/s:

KEi = ½ × 5.000 kg × (5.000 m/s)² = ½ × 5.000 × 25.00 = 62.50 J

Next, we calculate the final kinetic energy (KEf) using the final speed of 10.00 m/s:

KEf = ½ × 5.000 kg × (10.00 m/s)² = ½ × 5.000 × 100.0 = 250.0 J

The work done (W) on the crate is the change in kinetic energy, so:

W = KEf - KEi = 250.0 J - 62.50 J = 187.5 J

Therefore, the amount of work needed to accelerate the crate is 187.5 J, which can be rounded to the nearest tenth of a joule as 187.5 J.

Final answer:

The amount of work needed to accelerate the crate is 187.5 Joules (to the nearest tenth of a joule).

Explanation:

The amount of work needed to accelerate the crate can be calculated using the formula:

Work = Change in kinetic energy

First, calculate the initial kinetic energy:

Kinetic energy = (1/2) * m * v^2

= (1/2) * 5.000 kg * (5.000 m/s)^2

= 62.5 Joules

Next, calculate the final kinetic energy:

Kinetic energy = (1/2) * m * v^2

= (1/2) * 5.000 kg * (10.00 m/s)^2

= 250 Joules

Finally, calculate the change in kinetic energy:

Change in kinetic energy = Final kinetic energy - Initial kinetic energy

= 250 Joules - 62.5 Joules

= 187.5 Joules

Therefore, the amount of work needed to accelerate the crate is 187.5 Joules (to the nearest tenth of a joule).

How did Galileo use his knowledge in music to understanding the movement of a pendulum?

Answers

Galileo was taught Aristotelian physics at the university of Pisa. Galileo's discovery was that the period of swing of a pendulum is independent of its amplitude--the arc of the swing--the isochronism of the pendulum. Now this discovery had important implications for the measurement of time intervals.

5L=__ML
Express your answer in scientific notation
5 x 109
5x 106
5x 103

Answers

Answer:

5000ml is the answer

Explanation:

multiply 5 time 1000

5000 is the answer to this

what happens when light travels from one medium to another with a different index of refraction at a zero degree angle of incidence?

Answers

Answer:

No Refraction takes places

Explanation:

When light travels from one medium to another at an angle of incidence 0 degree then no refraction takes place .

It is because according to Refraction law

                    [tex]n_{i}[/tex]sini = [tex]n_{r}[/tex]sinr

where [tex]n_{i} ,n_{r}[/tex] are the refractive index of medium of incidence and medium of refraction .

When i = 0 , left side of the equation becomes 0 and thus r (angle of refraction) must be zero. So No refraction takes place

Answer:

If the index of refraction of the medium is greater, the light slows down.

A planet will orbit its sun because the gravitational force of the sun pulls on
the planet. The gravitational force of the planet pulling on the sun is:

Answers

The gravitational force of the planet pulling on the sun is equal to the gravitational force of the sun pulling on  the planet

Explanation:

We can solve this problem by applying Newton's third law, which states that:

"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"

In this problem, we can identify:

- The sun as object A

- The planet as object B

By applying Newton's third law, we can state that:

- The action is the gravitational force exerted by the sun on the planet

- The reaction is the gravitational force exerted by the planet on the sun

According to the law, the two forces are equal in magnitude and opposite in direction: so, we can conclude that

The gravitational force of the planet pulling on the sun is equal to the gravitational force of the sun pulling on  the planet

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Answer:

Of the same magnitude

Explanation:

Type O negative blood is considered the universal red blood cell donor because it _____.
A.
Has all 3 types of antigens.
B.
Has all 3 types of antibodies.
C.
Lacks all 3 types of antigens.
D.
Lacks all 3 types of antibodies.

Answers

Answer:

Honestly i think the answer is B

Explanation:

1. What is the average velocity of a car that moved 40 km East and 80 km West in 2 hours?

Answers

The average velocity is 20 km/h west

Explanation:

The velocity of an object is given by:

[tex]velocity = \frac{d}{t}[/tex]

where

d is the displacement

t is the time elapsed

The displacement of an object is a vector connecting the initial position and the final position of motion.

In this problem, the car moved

40 km East

80 km West

Therefore, the displacement is given by (taking West as positive direction)

[tex]d=80 km - 40 km = 40 km[/tex] West

The time elapsed is

t = 2 h

Therefore, the average velocity is

[tex]v=\frac{40 km}{2h}=20 km/h[/tex] in the West direction.

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Final answer:

The average velocity of the car is -20 km/h toward the West, calculated by dividing the net displacement (-40 km) by the total time (2 hours).

Explanation:

To find the average velocity of the car, we need to consider the total displacement and the total time. Displacement is the change in position of the car, and since velocity is a vector quantity, it also includes direction. The car first moves 40 km East and then 80 km West, resulting in a total displacement of 40 km East - 80 km West = -40 km (where negative indicates the direction West).

The total time taken is 2 hours. Therefore, the average velocity v is calculated as:

v = Total Displacement / Total Time = -40 km / 2 hours = -20 km/h

The negative sign indicates that the average velocity is directed toward the West.


A ball rolls 50 meters in
10 seconds *

A. 2 meters per second

B. 5 meters per second

C. 10 meters per second
D. 25 meters per second​

Answers

The speed of the ball is B. 5 meters per second

Explanation:

For an object in uniform motion (= at constant velocity), the speed can be calculated using the equation

[tex]v=\frac{d}{t}[/tex]

where

v is the speed

d is the distance covered

t is the time taken

For the ball in this problem:

d = 50 m is the distance covered

t = 10 s is the time taken

Substituting, we find the speed:

[tex]v=\frac{50}{10}=5 m/s[/tex]

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Which statement is an example of determining the relative age?

determining which individual is older based on the style of clothing they wore in a picture

knowing the age of a grandmother because she was a kid during the Great Depression

doing a genealogy search to find out a great, great, grandfather was born June 2, 1890

use birth certificate records to confirm the first birth occurred in the hospital on January 11, 1750

Answers

knowing the age of a grandmother because she was a kid during the Great Depression

Explanation:

The best example for relative age is simply knowing the age of a grandmother because she was a kid during the Great Depression. Relative age is usually based on the occurrence of a popular and world wide event. It is not an absolute age that gives numerical and quantitative values to age.

The reference here is the Great Depression The Grandmother was kid during this period in time. We can use this knowledge to infer her age. Since she was a kid at that point, her current age would how far back the depression was and an estimate of her age at that time.

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Define momentum in term of mass and velocity​

Answers

Answer:

Momentum: It is the quantity of motion of a moving body, measured as a product of its Mass and Velocity.

Explanation:

Definition of momentum :

Momentum is the quantity of motion of a moving body, measured as a product of its Mass and Velocity.

Momentum is denoted by pFormula for momentum is[tex]p = mass\times velocity[/tex]Its unit is kg-m/s.

For example:

A bowling ball of large mass moving very slowly can have the same momentum as a cricket ball of small mass that is thrown with a very high velocity

If a ball is rolling at a velocity of 1.5 meters per second and has a momentum of 10.0 kg meters per second what is the mas6of the ball

Answers

The mass of the ball is 6.7 kg

Explanation:

The momentum of an object is defined as

[tex]p=mv[/tex]

where

p is the momentum

m is the mass of the object

v is its velocity

For the ball in this problem we have the following data:

v = 1.5 m/s (velocity)

p = 10.0 kg m/s (momentum)

Solving the equation for m, we find the mass of the ball:

[tex]m=\frac{p}{v}=\frac{10}{1.5}=6.7 kg[/tex]

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Water flow will be reduced in a pipe if the pipe is constricted. True False

Answers

The CORRECT answer is TRUE.

the periodic table arranges elements by increasing_____.

Answers

The periodic table arranges element by increasing atomic number

Scientists draw conclusions based on evidence that has been gathered
through observation, experience, and experimentation. Which of the following
terms best describes this kind of evidence?

Answers

Answer:

empirical evidence

Explanation:

Empirical evidence includes measurements or data collected through observation, experience, and experimentation.  

Scientist, in order to validate their investigations, record and analyze data which allows them to conclude about their hypothesis. This is a central part of the scientific method, but a theoretical background is also needed.

Force
A.
Tell the forces at work in the diagram and for the sentences.
drag
lift
thrust
gravity
Force

Answers

Answer:

Upward force is lift.

Downward force is gravity.

Thrust act towards left.

Drag act towards right.

Explanation:

The forces acting on the airplane are:

1. Downward force which is due to Earth's gravitation and hence gravitation force acts in the downward direction.

2. Air applies a force in the upward direction in order to make the airplane float in air. This force is called lift force as it lift the airplane in the air.

3. Forward force acts on the airplane which is thrust force which causes the airplane to move forward.

4. The air resists the motion of the airplane and hence applies a force in the backward direction known as drag force.

A certain steam turbine is designed to be used as both a power generator and a pump. When used as a generator, the turbine provides enough power to do 3* 10^10 J of work in 1 min. What is the power output of the turbine?

Answers

Answer:

5 x 10^8 W

Explanation:

Power = Energy ÷ time

given

Energy = 3 x 10^10J

time = 1 min = 60 s

Power = Energy ÷ time

= 3 x 10^10 ÷ 60

=  5 x 10^8 W

Final answer:

The power output of the steam turbine that does 3 × 10^10 joules of work in 1 minute is 500 megawatts.

Explanation:

The student asked about the power output of a steam turbine that does 3 × 10^10 joules of work in 1 minute. To determine the power output, we use the formula Power = Work / Time. The work done is 3 × 10^10 joules, and the time is 1 minute, which is 60 seconds. Therefore, the power output is:

Power = 3 × 10^10 J / 60 s = 5 × 10^8 watts or 500 megawatts.

This indicates that when functioning as a generator, this turbine can generate 500 megawatts of power.

Earth's early atmosphere is almost unrecognizable compared to the atmosphere around us now. True False

Answers

It is TRUE that earth's early atmosphere is almost unrecognizable compared to the atmosphere around us now

Explanation:

The early atmosphere of earth was mainly composed of carbon dioxide (up to 200 times more than current levels), methane, ammonia, and hydrogen sulfide. Most of the atmosphere was mainly created from gases spewed up into the atmosphere by volcanic eruptions. This was approximately 4.6 billion years ago.

However, an event referred to as the Great Oxygenation Event (about 2.6 billion – 400 million years ago ) changed the composition of the atmosphere. This was due to the evolution of photosynthetic organism that took up most of the carbon dioxide from the atmosphere and evolved out oxygen. The oxygen oxidized a lot elements, minerals and compounds in the atmosphere (including methane) and on the crust surface (such as iron). This changed, drastically, the composition of the earth's atmosphere.

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WILL MARK BRAINLYYY Which organ is part of the respiratory system of tigers?

skin

lungs

gills

tracheae

Answers

Answer:

lungs

Explanation:

Similar to other mammal species that live on land and breath air (oxygen), the pair of lungs is the most important part of the respiratory system, which keeps living organisms alive.

Answer:

lungs are part of the respiratory system of tigers

Angela is analyzing the fracture pattern of a window she know it’s at the crack stop when they intersect knowing this what can she determine about the window

Answers

Answer:

The order in which the fractures occurred

I took the test

Other Questions
At a rock concert, a dB meter registered 130 dB when placed 2.5 m in front of a loudspeaker on stage. (a) What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air? (b) How far away would the sound level be 85 dB? How many liters of each of a 15% acid solution and a 65% acid solution must be used to produce 80 liter of 60% acid solution? You pull a suitcase along the floor by exerting 43N at an angle. The force of friction is 27 N and the suitcase moves at a constant speed. What angle does the handle make with the horizontal? Whats the difference between cancer cells and normal cell Marcella just gave birth to a baby who is preterm and low-birthweight. In addition, Marcella experienced high blood pressure throughout her pregnancy. Marcella is most likely _____ years old. Walt has decided to sell the home he has lived in for 50 years. The house has two bedrooms on the first floor, a finished basement, and a finished attic with a low ceiling. To prepare his home for sale, he shoulda Underestimate the cost of utilities.b Keep everything "as is."c Exaggerate the size of his yard.d Take steps to remove excess furniture to make areas look larger.e List his house as a three-bedroom. The acceleration vector of a particle in uniform circular motion __________. 9. If AXYZ ~ ARST, find the value of x. This is just for fun! The Robot Unicorn. Once there was a boy, and a robot. They both lived together and played forever. One day, the boy wanted to call the robot Unicorn. "Lovely name, is it not?" said the boy, exitedly. " Yes honey. It is wonderful!" said his mum. Then they raced to the woods, collecting dust from the grounds. The boy started off to do his homework, but that was the first time the boy let alone a unicorn. The unicorn tried to be a dog, growling at him. But the boy said, "Shush, howling dog! I am doing my homework." Then the unicorn decided to give up, whimpering the sadness all over him. Until one day, the boy was free! But the unicorn found another friend, Lucy. The boy tried to convince the unicorn to play, but the unicorn ignored him. So, HE gave up. They both were separated for 5 years, trying hard to accomplish their goals. They both finally got together at last! Then, the boy told his mum, "Mum, I hated being away. But the first thing I want to do, is to cry. Then, I will tell you my journey!" And they lived happily ever after. How many years was the boy from the unicorn away? Why? Explain. how did the role of the federal government change during world war 1 8. Teo makes a necklace of x wooden beads at $0.50each and 6 glass beads at $1.25 each. The averagecost of the beads in the necklace is $0.75. Writean equation to model the situation. A vertical solid steel post of diameter d = 26cmand length L = 2.40m is required to support a load of mass m = 7800kg . You can ignore the weight of the post. Take free fall acceleration to be g=9.8m/s2.Part AWhat is the stress in the post?Express your answer using two significant figures.Part BWhat is the strain in the post?Express your answer using two significant figures.Part CWhat is the change in the post's length when the load is applied?Express your answer using two significant figures. At age 79, Mrs. X is diagnosed with a disorder that severely impairs her logical judgment. Medical imaging techniques show that this has been most likely caused by brain damage in a ______. a. parietal lobeb. frontal lobec. temporal lobed. premotor cortex Pedro and Ivan races each other in a 24-mile bike race. After 20min, Pedro had traveled 5 miles. Ivan had spent the 20 minutes traveling at a rate of 16mph. Which person was in 1st place after 20min? Which of the alternatives to the modern theory of the firm holds that managers attempt to meet some goal that is defined in terms of a specified level of sales, profits, growth, or market share? A. Management utility maximization model B. Profit maximization model C. Satisficing model D. Sales maximization model Given f(x) = x^2 3 and g(x) = x+2/x . Find (g f)(4).A. 11/13B. 6C. 15/13D. -6 A nearsighted person cannot see objects beyond 80 cm from his eyes. Which one of the followingcombinations represents the correct focal length and the refractive power of the contact lenses thatwill enable him to see the distant objects clearly?A) -80 cm, -1.3 dioptersB) -1.3 cm, +1.3 dioptersC) -80 cm, +1.3 dioptersD) +80 cm, +1.3 dioptersE) +80 cm, -1.3 diopters Name a country that is overly dependent on another country for critical goods and services? The amount of protein needed by each person is determined by their age, size, metabolic rate, and the need to build new proteins (whether the body is in positive nitrogen balance).True or False? Question 1 with 1 blank Yo: (escuchar), (leer), (esculpir) Question 2 with 3 blanksT: (apreciar), (comprender), (compartir) Question 3 with 3 blanksMarcos: (poner), (venir), (querer) Question 4 with 3 blanksNosotras: (ser), (saber), (ir)