a spiral spring loaded with a piece of metal extends by 9.4cm. when the metal is fully immersed in water, the spring extends by 3.5cm. assuming Hooke's law is obeyed, calculate the relative density of the metal​

Answers

Answer 1

The relative density of the metal that is on a spiral spring which extends 9.4 cm in air and 3.5 cm in water is 1.59

RD = Weight of body in air / Upthrust

RD = Relative density

F = - k x

F = Spring force

k = Spring constant

x = Displacement

RD = - k ( 9.4 ) / - k ( 9.4 - 3.5 )

RD = 9.4 / 5.9

RD = 1.59

Relative density is the ratio of density of the substance to the density of the reference material. Density is the ratio of mass to volume. The unit of density is kg / m³. Relative density has no unit since it is density divided by density.

Therefore, the relative density of the metal​ is 1.59

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Related Questions


A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 2.0 x 10¹
meters per second². After 30 seconds of flight, how high has it reached?

Answers

It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.

What is altitude?

Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of  celestial object above the horizon, measured in angular distance.

Sol-A sign simply indicates multiplication operation.

As per the question we have given- a=accelaration =-2*101=-202m/s^2

(We use negative sign here because it opposes the gravitational force)

d= distance/altitude =9*103= 927 meters

V= initial velocity= 0 m/s

T = Time substituting,927=3.03 second.

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Why does a power plant generator produce alternating current and not direct
current?

Answers

A power plant generator does easily generate alternating current and not direct

current simply because the AC current is far cheaper to produce.

Why is a power plant generator cheaper to generate alternating current?

The simple reason why a power plant generator generate an alternating current cheaply is because the plant loses a very few energy when electricity is being transmitted with it through a long distance. Whereas, the direct current usually, frequently and most of the time loses more energy.

So therefore, we can now deduce from above that it is easy to generate alternating current from a power plant.

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A person is falling from the top of a building. If they hit the ground they will die. A superhero swoops in from the side at high speed and catches them just before they reach the ground. The person is saved from harm.

Why does this defy physics? Give Equations/Laws to justify your answer.

Answers

This situation defies the laws of physics because the force required to stop the person from touching the ground would be too great that it would be equally fatal.

What laws should be considered in this situation?

The first law to be considered is that an object will continue moving at a constant acceleration unless there is an unbalanced force that interrupts this. In other words the person will fall unless the supehero force is equally strong to the accelaration.

What is the problem with this?

The main problem is that the superhero's speed and force would have to be about 160 miles per hour or even more to "save" the person. However, this would be even more dangerous than being hitted by a car and the person would immediately die due to the impact.

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A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters

Answers

The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.

Velocity- The rate of change of displacement is the definition of velocity.

The formula below is used to determine the cannon ball's initial velocity.

Formula:

v² = u²+2gH......... Equation 1

Where:

v = Final velocity

u = Initial velocity

H = Height

g = Acceleration due to gravity.

From the question,

Given:

v = 0 m/s (At the maximum height)

H = 4.75 m

g = 9.8 m/s

Substitute these values into equation 1

0² = u²+2×9.8×4.75

u² = 93.1

u = √(93.1)

u = 9.65 m/s

Hence, the initial velocity of the cannonball is 9.65 m/s.

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A cap 6.000 cm in diameter plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure. The container is submerged to a depth of 10.00 ft in water. Assume the plug is planar and the pressure over the container is equalized. The force needed to remove the plug is closest to?

Answers

The force needed to remove the plug that is 6.000 cm in diameter which plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure is 85 N

P = F / A

P = ρ g h

P = Pressure

F = Force

A = Area

ρ = Density

g = Acceleration due to gravity

h = Height

ρ = 1000 kg / m³

g = 9.8 m / s²

h = 10 ft = 3.048 m

A = π r²

d = 6 cm = 0.06 m

r = d / 2 = 0.06 / 2

r = 0.03 m

A = 3.14 * 0.03 * 0.03

A = 0.002826 m²

Equating both formulae of P,

F / A = ρ g h

F = 1000 * 9.8 * 3.048 * 0.002826

F = 85 N

Therefore, the force needed to remove the plug is closest to 85 N

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In the winter, an animals fur provides warmth through which method?

A. Conduction
B. Convection
C. Radiation

Answers

In the winter, an animals fur provides warmth through Conduction.

What is conduction?
One of the three main ways that heat energy moves from one place to another is conduction. The other two ways heat moves are through radiation and convection. Thermal energy is transferred through conduction when nearby atoms or molecules collide. Because the particles in solids and liquids are closer together than they are in gases, conduction occurs more readily. The rate of energy transfer besides conduction is faster when there is a significant temperature difference between the materials in contact. Thermal energy is transferred from a lower kinetic energy area to a higher kinetic energy area. The kinetic energy of slow-moving particles increases when they collide with fast-moving particles. This is a typical instance of heat transfer through physical contact.

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How much tension must a cable withstand if it is used to accelerate a 1800- kg car vertically upward at 0.60 m/s2

Answers

Answer:

Approximately [tex]1.9\times 10^{4}\; {\rm N}[/tex] (rounded up) assuming that [tex]g = (-9.81)\; {\rm N \cdot kg^{-1}}[/tex] (downwards.)

Explanation:

The car is accelerating at a constant [tex]a = 0.60\; {\rm m\cdot s^{-2}}[/tex] (positive since the car is accelerating upwards.) Hence, the net force on this car will be:

[tex]\begin{aligned}F_{\text{net}} &= m\, a \\ &= 1800\; {\rm kg} \times 0.60\; {\rm m\cdot s^{-2}} \\ &= 1080\; {\rm N}\end{aligned}[/tex].

Note that since net force points in the same direction as acceleration (upwards,) [tex]F_{\text{net}}[/tex] is also positive.

The main forces on this car are:

Weight (downward).Tension from the cable (upward): [tex]F(\text{tension})[/tex].

With a mass of [tex]m = 1800\; {\rm kg}[/tex], the weight on this car will be [tex]m\, g = 1800\; {\rm kg} \times (-9.81)\; {\rm N \cdot kg} = (-17658)\; {\rm N}[/tex] (negative since weight points downwards to the ground.)

The net force on this car is the sum of the external forces:

[tex]F_{\text{net}} = F(\text{tension}) + m\, g[/tex].

It is shown that [tex]F_{\text{net}} = 1080\; {\rm N}[/tex] while [tex]m\, g = (-17658)\; {\rm N}[/tex]. Substitute both values into the equation and solve for [tex]F(\text{tension})[/tex]:

[tex]1080\; {\rm N} = F(\text{tension}) + (-17658)\; {\rm N}[/tex].

[tex]\begin{aligned}F(\text{tension}) &= 1080\; {\rm N} + 17658\; {\rm N} \approx 1.9\times 10^{4}\; {\rm N} \end{aligned}[/tex] (rounded up.)

At some point during construction, the International Space Station had a
mass of 235,565 kg. When it orbited the Earth at an altitude of 400,000 m,
what was the approximate gravitational force on the Station due to Earth's
gravity? (Recall that Earth has a radius of 6.37 x 106 m, it has a mass of 5.97
x 1024 kg, and G = 6.67 x 10-11 N•m²/kg².)

Answers

The gravitational force exerted on the Station by the gravity of the Earth is approximately 0.00026680N.

Give an example to define gravitational force.

The gravitational force is the force that the earth exerts on a body to attract it. Examples of motion caused by gravitational force include the downward motion of water in rivers and streams, the upward motion of thrown objects such as balls, and the downward motion of the leaves and fruits of trees as they fall to the earth.

Where is gravity located?

All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional towards the masses of the two objects & directly proportional to the distance of their distance from one another gravitational force

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In the district soccer championship finals, Elizabeth kicks a 0.94 kg soccer ball with a force of 35.0 N. How much does she accelerate the soccer ball from rest in the process?

Answers

Taking into account the Newton's Second Law, she accelerate the soccer ball from rest to 37.234 m/s² in the process.

Newton's second law

Newton's Second Law states that this force will change the speed of an object because the speed and/or direction will change.

Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Gravitational force be on the Moon

In this case, you know:

F= 35 Nm= 0.94 kga= ?

Replacing in Newton's second law:

35 N= 0.94 kg× a

Solving:

a= 35 N÷ 0.94 kg

a=37.234 m/s²

Finally, she accelerate the soccer ball to 37.234 m/s².

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An astronauts suit is heated through which method?

A. Conduction
B. Convection
C. Radiation

Answers

Radiation is correct answer.

What is radiation?

Radiation is energy that moves through space at the speed of light from a source. This energy is coupled with an electric and magnetic field, and it has wave-like qualities. Radiation is sometimes known as "electromagnetic waves."

UV rays, which can be fatal, are readily avoided by covering oneself. The visors are coated to reflect UV, while the suit's opaque layers take care of the rest. On the other end of the spectrum, x rays and gamma rays are difficult to shield—here is where lead comes in, but there isn't enough of this type of radiation to justify the added weight. A radiologist's lead apron can weigh 10-15 kg, so filling the entire suit with this thickness of lead would add at least 25-40 kg to an already large and heavy suit. The material of the suit absorbs some of the radiation, although this is not the greatest danger to astronauts.

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How might these traits change from individual to individual? (Hint: Do you think the newts are all exactly the same color or size?)

Answers

Newts hatch in water, but they spend the most of their lives on land, returning to water only for mating.

They have rough skin, are 8 inches long, and have stubby legs and fangs. In the Pacific Northwest, some of them are toxic.

Rough-skinned newts have brown skin on their backs and bright orange skin on their bellies. When frightened by predators, these newts coil their bodies and show off their orange necks and tails. Predators are warned to stay clear from this orange tint.

It is to be noted that none of the newts are the same traits that is color or size.

What are traits?

A phenotypic trait (simply trait or character state) is a distinct variety of an organism's feature that is visible and quantifiable and manifests itself in an observable manner.

For example, eye color (green, blue, brown, and hazel) is a phenotypic feature that is passed down by polygenetic inheritance.

Height, wing length, and hair color are all phenotypes. Phenotypes also include observable traits that may be evaluated in the lab, such as hormone levels or blood cell counts.

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A 487 kg bear grasping a vertical tree slides
down at constant velocity.
The acceleration of gravity is 10 m/s².
What is the friction force that acts on the
bear?
Answer in units of N.

Answers

Answer:

4870 N

Explanation:

Since he is not accelerating

  the force is equal to his weight    mg  = 487 * 10 = 4870 N

Find the resultant force of 16N and the force of 25N acting at the same point on an object if the Force at : (1) In the same direction in the same line. (11) In the opposite direction but in the same straight line. (111) At right angles to each other.​

Answers

1 ) Resultant force if the forces act in the same direction = 41 N

2 ) Resultant force if the forces act in the opposite direction = 9 N

3 ) Resultant force if the forces act at right angles to each other = 29.68 N

F1 = 16 N

F2 = 25 N

1 ) If the forces act in the same direction,

F = F1 + F2

F = 16 + 25

F = 41 N

2 ) If the forces act in the opposite direction,

F = F2 - F1

F = 25 - 16

F = 9 N

3 ) If the forces act at right angles to each other,

F² = F1² + F2²

F² = 16² + 25²

F² = 256 + 625

F² = 881

F = 29.68 N

Therefore,

1 ) F = 41 N

2 ) F = 9 N

3 ) F = 29.68 N

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Think about a demonstration with a can of compressed gas. The can weighed less after some gas was shot out of the can. How does this show that gas is matter?

Answers

The gas is a matter as it has mass and occupies space which is evident from the fact that it weighed less.

Anything that occupies space and has mass is matter.

When the gas was shot out of the can, the can weighed less. This simply means that gas has mass.

Since the gas has mass and does occupy space, so, this shows that gas is matter.

Everything around is made up of matter. There are different types of matter like solids, liquids, and gas. These three are the primary forms of matter. Two other forms are also discovered which are Plasma and Bose-Einstein Condensate.

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Mendeleev arranged elements in order for increasing?

Answers

Answer:   Relative Atomic Mass

Explanation:   The closer the element is to the bottom-right corner, the higher the relative atomic mass. Hydrogen has the lowest relative atomic number at 1, whereas Lawrencium has the highest relative atomic mass at 262.

Which of the following has thermal energy? A. Both a piece of metal that feels hot and a piece of metal that feels cold B. A piece of metal that feels hot but not a piece of metal that feels cold C. A piece of metal that feels cold but not a piece of metal that feels hot D. Neither a piece of metal that feels hot nor a piece of metal that feels cold​

Answers

Answer:

B

Explanation:

If you try the experiment yourself, You will see that a hot piece of metal has and sustains that thermal energy until that piece of metal eventually cools off.

On the other hand, it takes a while for the cold piece of metal to heat up. So, therefore, it does not contain thermal energy for that long period until it is thoroughly heated up.

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You are given 13.0 m of thin wire. You form the wire into a circular coil with 70 turns.
If this coil is placed with its axis parallel to a 0.19 T magnetic field, what is the flux through the coil?

Answers

The magnetic flux through the coil is determined as 25.2 Tm².

What is the magnetic flux through the coil?

Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.

The magnetic flux through the coil is calculated using the following formula.

Ф = BA cosθ

where;

B is the magnetic field strengthA is the area of the coilθ is the inclination of the coil

A = πd²/4

where;

d is the diameter of the wire

A = π(13)²/4

A = 132.73 m²

Since the coil is parallel to the magnetic field, θ = 0

Ф = BA cosθ

Ф = 0.19 T  x  132.73 m² x cos(0)

Ф = 25.2 Tm²

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can someone pls help me

Answers

Answer:

The first one is the right answer

Explanation:

This is because a period is only completed when there is the completion of only one oscillation

Which direction do the electrons move when the south end of the magnet goes through the coil?

Answers

Electrons will move in anti- clockwise direction in the coil when the south end of the magnet goes through the coil

If you flip the magnet to bring its south pole towards the coil, the current flows in the direction that produces a magnetic field whose south pole faces the magnet . And as we know that , in south pole of the coil , the current will move in clockwise direction . Hence , electrons will move in anticlockwise direction because electrons move in opposite direction of the current .

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The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time? Explain your answer.

Answers

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

What is magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

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How do diet and exercise Positively affect cv disease risk

Answers

Frequent exercise is robustly associated with a decrease in cardiovascular mortality as well as the risk of developing cardiovascular disease. Physically active individuals have lower blood pressure, higher insulin sensitivity, and a more favorable plasma lipoprotein profile.

Can u pls show me what a velocity time graph would look like when it’s “moving at a negative constant velocity but then decelerates to a rest”? I cant figure out how it can decelerate to zero is deceleration is going down

Answers

If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period  equals the change in velocity during that time period.

What happens to an acceleration graph when velocity is constant?

Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.

During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.

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5. A force of 3.5 N applied to an object for 0.15 seconds increases the object's velocity by 2.0 m/s. What is the
mass of the object?

Answers

The estimated value of mass is 0.2625066 units

Given , Force =3.5N , time=0.15sec =15/100 sec

Velocity=2 m/s, mass =?

In Physics Acceleration means rate of change of velocity, i.e. Mathematically, a= v/t

a= 2/0.15

a=200/15= 13.333m/s²

In Physics Force means product of mass and acceleration i.e. F=ma

From this equation we can deduce the value of mass of the object.

3.5N= m [13.333]

m=3.5/13.333

m= 0.2625066

Hence forth in this way the value of mass is computed.

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To cool 350 mL of coffee at 90 ∘C to 0 ∘C , what is the minimum mass of 0 ∘C ice required?

Answers

Ice at 0°C must have a minimum mass of 0.39 kg.

As we know that

M(ice) at Ti(ice) = 0°C

Mс = 350 ml at Tic = 90°C

Now,

The heat loss by coffee=heat gain by ice

So,

McScΔ₁ = M₁L₁

Then,

ρv = 10³×(350×10-³)×10-³ = 350g

The specific heat of coffee = 1 cal/9°C

The latent heat of ice = 80 cal/g

Now, we plug all the values in above formula

350×1×(90-0) - M₁x80

M₁ = [tex]\frac{350x90}{80}[/tex]

    =393.75g

    =0.393kg

The minimum mass of 0°C ice required is 0.393 kilograms

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What has to happen with the time to have the smallest force to stop a moving body.

Answers

Answer:

You can only stop (or start) your body moving through space if you can cause an external force to be applied to it.

Explanation:

One way to find the mass of an object is to
measure its acceleration when a force acts on
it. If a force of 80 N causes a box to accelerate at
0.10 m/s², what is the mass of the box?

Answers

800 kg, as mass= force divided by acceleration is 80N, and mass divided by 0.1m/s2 is acceleration divided by mass, is equivalent to mass.

How does acceleration work?

The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it travels in a straight line at a quicker or slower rate. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.

What qualities make a force?

The definition of force is: The pushing or pulling on a massed object changes its velocity. An outside force has the ability to change a body's resting or moving status. It has a size and a movement.

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For one length of wire the potential difference across the wire was 1.68 V The current in the wire was 0.70 A calculate the resistance of the of this length of wire  

Answers

For one length of wire the potential difference across the wire was 1.68 V . The current in the wire was 0.70 A . The resistance of the of this length of wire will be 2.4 ohm

using ohm's law

V = IR  

I = current

R = resistance

R = V/I

  = 1.68 / 0.70 = 2.4 ohm

The resistance of the of this length of wire will be 2.4 ohm

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Pls draw me what a velocity time graph would look like : moving at a positive constant speed to then at rest? Thank you!!!

Answers

Answer:

See below

Explanation:

Here are a couple of options..... one where the object slows to a rest and the other where the object stops to a rest instantaneously

White's style is directed at all but one of the following. Which one?

Answers

White's narrative approach encourages families to option a. create alternative accounts of their lives.

What is the narrative therapy approach?

A type of therapy called narrative therapy seeks to detach the patient from the issue, allowing them to externalize their problems rather than keep them inside. It depends on the person's own abilities and sense of purpose to get them through challenging situations.

Note that Writing or reading stories with problems and answers related to the person's circumstances might be part of a narrative approach. The goal of narrative techniques is to give children a different means of expressing their feelings through words.

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See full question below

White's narrative approach encourages families to:

a. create alternative accounts of their lives

b. gain awareness of the origins of their problem

c. attend to reflecting team observations

d. develop a problem-saturated perspective

Which of the following courses might a mechanical engineer take in college?


Agriculture Operations

Organic Chemistry


Ethics in Sustainable Agriculture

Molecular Biology

Answers

The course to be likely taken by a mechanical engineer in college is agriculture operations (option A).

What is engineering?

Engineering is application of mathematics and the physical sciences to the needs of humanity and the development of technology.

Mechanical engineering is a subfield of engineering concerned with designing and building machines and mechanical systems.

A mechanical engineer is an individual who specialises in the field of mechanical engineering. This means that a mechanical engineer is expected to be vast in the knowledge of designing and building machines for operations in other fields.

One of those fields that a mechanical engineer can build or design machine for is agriculture. Therefore, agriculture operations is the most likely course to be taken by a mechanical engineer in college.

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Answer:  The correct answer is Agriculture Operations

Explanation:  This answer has been confirmed correct.

Mechanical engineers work with equipment and automation, in areas such as agricultural operations. In contrast, they do not typically work with chemistry, ethics, or molecular biology.

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By 1842 more than (12) ______________________ American soldiershad died, and the government gave up. Native Americans gave up more than(13) _____________________ acres in exchange for $68 million and 32 million acres.word bank :General Winfield ScottIndian Removal Act100 millionOsceolaSeminoleTrail of Tears1,500Indian TerritoryCherokeeIllinoisChief Justice John MarshallBlack Hawk17,000 Fill in the blank. A mi esposo y a m _____ gusta caminar.telesmenosle using a dot and cross diagram as electrons show the bonding in a molecule of oxygen(O2-2 atoms of oxygen, one as dots, one as crosses) What is a introduction in essay Why are the Great Lakes important to both the United States and Canada? What does McCarthy seem to be suggesting in the final paragraph in his speech? I need help please asapQuestion 16The continuous columns surrounding the Cella of a Greek temple are known asO Greek temples had no columnsO peripteral columnsO No answer text provided.O the perimeter you manufacture devices with sensors and need to stream huge amounts of data from these devices to a storage option in the cloud. which storage option is the best choice for your application? Question 3 of 5Which of the following describes a major similarity between the Declarationof Independence and Thomas Paine's Common Sense? Force, Motion, and Newton's Laws (8.6 A and C):Question 4A force of 200 N is exerted on an object of mass 40 kg.What is the acceleration?Select one:05 m/s05 N05 m/s05 m (a) occasionally one encounters the suggestion that a garbage-collected language should provide a delete operation as an optimization: by explicitly delete - ing objects that will never be used again, the programmer might save the garbage collector the trouble of finding and reclaiming those objects automat- ically, thereby improving performance. what do you think of this suggestion? explain. a nurse is teaching a new mother about her neonate and the changes that are occurring as the neonate adapts to life outside the client's uterus. the nurse would incorporate understanding of which change when describing the neonate's current status? select all that apply. the management of hamano corporation would like for you to analyze their repair costs, which are listed below: machine-hours repair costs april 2,140 $ 33,094 may 2,169 $ 33,112 june 2,126 $ 33,089 july 2,198 $ 33,112 august 2,111 $ 33,022 september 2,214 $ 33,176 october 2,137 $ 33,063 november 2,209 $ 33,149 management believes that repair cost is a mixed cost that depends on the number of machine-hours. using the least-squares regression method, the estimates of the variable and fixed components of repair cost would be closest to: