One mole of iron (6 x 10^23 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-center distance between atoms is 2.28 x 10^-10 m. You have a long thin bar of iron, 2.3 m long, with a square cross section, 0.12 cm on a side. You hang the rod vertically and attach a 149 kg mass to the bottom, and you observe that the bar becomes 1.17 cm longer. From these measurements, it is possible to determine the stiffness of one interatomic bond in iron.

ks = 20014.1 N/m
Number of side-by-side long chains of atoms = 4.81e^12
Number of bonds in total length = 1.096e^10

What is the stiffness of a single interatomic "spring"?

Answers

Answer 1

Answer:

Explanation:

Given that:

length l = 2.3 m

a = 0.12 cm = [tex]0.12 \times 10^{-2} \ m[/tex]

[tex]x = 1.17 \ cm = 1.17 \times 10^{-2}\ m[/tex]

m = 149 kg

[tex]\delta = 7.87 \ g/cm^3[/tex]

[tex]da = 2.28 \times 10^{-10}\ m[/tex]

[tex]F_{net} = F-mg\\ \\0 = F - mg \\ \\ F = mg \\ \\ k_sx = mg \\ \\[/tex]

[tex]k_s = \dfrac{149(9.8)}{1.17 \times 10^{-2}} \\ \\ k_s = 124803.42 \ N /m[/tex]

[tex]N_{chain} = \dfrac{A_{wire}}{A_{atom}} = \dfrac{A_w}{da^2}[/tex]

[tex]N_{chain} = \dfrac{(a)^2}{(da)^2} = (\dfrac{a}{da})^2[/tex]

[tex]N_{chain} = (\dfrac{0.12 \times 10^{-2} }{2.28 \times 10^{-10}})^2[/tex]

[tex]N_{chain} = 2.77 \times 10^{13}[/tex]

[tex]N_{bond} = \dfrac{L}{da} \\ \\ = \dfrac{2.3}{2.28 \times 10^{-10}} \\ \\ N_{bond} = 1.009 \times 10^{10}[/tex]

[tex]\text{Finally; the stiffness of a single interatomic spring is:}[/tex]

[tex]k_{si} =\dfrac{N_{bond}}{N_{chain}}\times k_s[/tex]

[tex]k_{si} =\dfrac{(1.009 \times 10^{10})}{2.77*10^{13}}}\times (124803.42)[/tex]

[tex]\mathbf{k_{si} =45.46 \ N/m}[/tex]


Related Questions

please help me with this i dont know it​

Answers

Answer:

no it would not. that is an open circuit and it would need to be closed at the switch for current to flow.

What is the fastest bird​

Answers

She is correct I looked it up

Answer:

Peregrine Falcon/hawk

Explanation:

i really dunno if you are talking about brids that can't fly or not.

As a pendulum swings from the bottom position to the top position

kinetic energy is changed into potential energy

mechanical energy is changed into radiation

radiation is changed into friction

potential energy is changed into kinetic energy

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Power and Energy.

As a pendulum swings from the bottom position to the top position, it gains a height which means it gains the Potential energy.

hence we can say that, kinetic energy is changed into potential energy.

So, the Option A.) is correct.

Answer:

I think it's A)

Explanation:

it could be wrong i don't know hope it's not good luck!

PSYW - Please Show Your Work

A radiator made out of iron of specific heat capacity 450 J/kgk has a mass of 45.0 kg
and is filled with 23.0 kg of water of specific heat capacity 4200 J/kgK.
Determine the energy required to raise the temperature of the radiator-water system by
1°K

Answers

Answer:

9.66E4 J

Explanation:

We have that  the energy required to raise the temperature of the radiator-water system by

1°K

E=116.85KJ

From the question we are told  

A radiator made out of iron of specific heat capacity 450 J/kgk has a mass of 45.0 kg  and is filled with 23.0 kg of water of specific heat capacity 4200 J/kgK.

Determine the energy required to raise the temperature of the radiator-water system by  1°K

Generally the equation for the Energy  is mathematically given as

[tex]E=((mc)_i+mc_w)dt\\\\Therefore\\\\E=(45* 450 +4200*23)1\\\\E=116850J\\\\E=116.85KJ\\\\[/tex]

Therefore

the energy required to raise the temperature of the radiator-water system by

1°K

E=116.85KJ

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A rain drop of radius 0.3mm has terminal velocity 1m/s in air. The viscosity of air is 18X10-5 poise, then viscous force is​

Answers

Answer:

F = 1.0178 × 10^(-2) dyne

Explanation:

From stokes law, the viscous force also known as drag force on rain drop is given by the formula;

F = 6πηrv

Where;

η is viscosity

r is radius

v is velocity

We are given;

η = 18 × 10^(-5) poise

r = 0.3 mm = 0.03 cm

v = 1 m/s = 100 cm/s

Thus;

F = 6π × 18 × 10^(-5) × 0.03 × 100

F = 1.0178 × 10^(-2) dyne

The magnetic field strength in an experiment is 5.0 x 10–4 Newtons per Amp meter (or 5.0 x 10–4 N A–1m–1), where the unit of force is the Newton (N = kg m s–2) and the unit of current is the Ampere (A = C s–1). A Coulomb, C, is a unit of charge. The electric field strength in another experiment is 1.8 x 104 N C–1. From these parameters, both the magnetic displacement and the electric displacement were each measured to be 6.0 cm. Calculate the velocity of the particles.

Answers

Answer:

The velocity of the particles is "0.36×10⁸ m/s".

Explanation:

The given values are:

Magnetic field strength,

B = 5.0×10⁻⁴ N/Amp

In another experiment,

F = 1.8×10⁴

By considering the Lorentz force, the velocity will be:

⇒  [tex]qE=qvB[/tex]

then,

⇒  [tex]v=\frac{F}{B}[/tex]

On substituting the given values, we get

⇒     [tex]=\frac{1.8\times 10^4}{5.0\times 10^{-4}}[/tex]

⇒     [tex]=0.36\times 10^8 \ m/s[/tex]

Whenever a body is in motion there is always a ____ to oppose the motion
A. Friction
B. Intertia
C. Gravity
D. acceleration

Answers

Option A hope it will help you

Whenever a body is in motion there is always a friction to oppose the motion.

What is friction ?

"Friction is a force that resists the motion of one object against another."

Friction is a force that opposes relative motion between surfaces in contact. One of the simpler characteristics of friction is that it is parallel to the contact surface between surfaces and always in a direction that opposes motion or attempted motion of the systems relative to each other.

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The area of a piston of a force pump is 8 X 10⁴m². What force must be
applied to the piston to raise oil (d = 780 Kg/mº) to a height of 6.0 m? Assume
the upper end of the oil is open to the atmosphere.​

Answers

Answer:

Force of [tex]37.44 * 10^{8}[/tex] Kgm/s^2 must be  applied to the piston to raise oil to a height of 6.0 m

Explanation:

As we know,

Pressure is the force per unit area

Or [tex]P = \frac{F}{A}[/tex]

Force [tex]= P * A[/tex]

Pressure is the product of density, gravitational constant and height

[tex]P = 780 * 10 * 6[/tex]

Force

[tex]= P * A\\= 780 * 10*6*8*10^4\\= 37.44 * 10^{8}[/tex]Kgm/s^2

The force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N. Force is defined as the ratio of presure and area. Its unit is Newton.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

The given data in the problem is;

A is the area of a piston = 8 X 10⁴m².

F is the force=?

h is the height = 6.0 m

Force is defined as the ratio of presure and area. Its unit is Newton.

[tex]\rm P = \frac{F}{A} \\\\ \rm F = P \times A \\\\ \rm F = 780 \times 10^6 \times 8 \times 10^4 \\\\ \rm F = 37.44 \times 10^8[/tex]

Hence the force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N.

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Speed versus Time
The graph below suggests

A. a constant speed of 3 m/s followed by speed of 1 m/s
B. a constant velocity of 2 m/s followed by speed of zero
C. a constant speed of 4 m/s followed by speed of zero
D. a constant acceleration of 2 m/s followed by speed of zero
F. a constant speed of 2 m/s followed by speed of zero

Answers

A since it’s the only one that makes sense! So A is correct.

Answer:

a constant speed of 2 m/s followed by speed of zero

Explanation:

I got it right on the test.


A skydiver has jumped out of an aircraft but has not yet opened her
parachute.
Which of these statements best describes what is happening?

1. She is pushed towards the Earth by the force of gravity.

2.She is pulled towards the Earth by the force of gravity.

3.She is pulled towards the Earth by air resistance.

4. She is pushed towards the Earth by air resistance.​

Answers

Answer:

2

Explanation:

She's attracted with a great force back to earth's surface

This graph shows the path length based on the number of speciation events in a evolution path.

Speciation Events vs. Path Length gradual evolution Path Length punctuational evolution Number of Speciation Events

What does the graph suggest about the evolution path length


a. The punctuational evolution path is the same as the gradual evolution path
b. The gradual evolution path is longer that the punctuational evolution path
c. Gradual evolution does not effect the evolution path length
d. Punctuational evolution does not effect the evolution path length

Answers

Answer:

Nbhb

Explanation:

why an inclined is considered as simple machine​

Answers

Simple machines are meant to help make work be done more easily and efficiently, and an incline does exactly that. An incline allows you to move an object to a greater height with less force that is needed to simply lift the object.

hope this helps.

A lever with a mechanical advantage of .4 is more advantageous than just picking up the object with your hands and lifting it up.
True

False

Answers

Answer:

true

Explanation:

A parallel beam of light falls on two small slits 5x10-5 m apart.
A) If the distance between the central and 1st fringe is 0.06 m and the light is being
projected onto a screen 5 m away, what is the wavelength of the light?
B) Roughly what color is it?

Answers

Answer:

  λ = 6 10⁻⁷ m, color orange

Explanation:

This problem is about the interference phenomenon, constructive interference occurs when the path difference is equal to an integer number of wavelengths

          d sim θ = m λ

Let's use trigonometry, remembering that the angles for these experiments are very small.

          Sin θ = y / L

          tan θ = [tex]\frac{sin \theta}{cos \theta}[/tex] = sin θ

          sin θ = y / L

we substitute

         [tex]d \ \frac{y}{L} = m \lambda[/tex]

A) Donut length is requested

        λ = [tex]\frac{d \ y}{m \ L}[/tex]

let's calculate

        λ = 5 10⁻⁵ 0.06 /( 1  5)

        λ = 6 10⁻⁷ m

B) let's express the wavelength in nm

      λ = 6 10⁻⁷ m = 600 nm

this corresponds to the color orange

Imagine a negative test charge sitting at the coordinate origin (0,0). Two bunches of positive charges are located on the x-axis and the y-axis, respectively, so that the vectors of the respective electric forces, which the test charge experiences, point from the origin at points (1,0) and (0,1), respectively. The total force vector, which the test charge experiences, points from the origin at the point __________

Answers

Answer:

the total force vector, on test charge is points from origin to point C( 1, 1 )

Explanation:

Given the data in the question, as illustrated in the image below;

from the Image, OA = 1, OB = AC = 1

so using Pythagoras theorem

a² = b² + c²

a = √( b² + c² )

so

OC = √( OB² + AC² )

we substitute

OC = √( OA² + AC² )

OC = √( 1² + 1² )

OC = √( 1 + 1 )

OC = √2

Coordinate of C( 1, 1 )

Hence, the total force vector, on test charge is points from origin to point C( 1, 1 )

A ball has a mass of 140 g what is the force needed to accelerate the mall at 25 m/s squared

Answers

3.5 Newton of force is needed to accelerate 140g of ball at 25 m/s^2 using the formula f=ma
Change 140g to kg

Answer:

[tex]\boxed {\boxed {\sf 3.5 \ Newtons}}[/tex]

Explanation:

Force is the product of mass (in kilograms) and acceleration (in meters per square second).

[tex]F=ma[/tex]

The mass of the ball is 140 grams and the acceleration is 25 m/s². Convert grams to kilograms.

1 kg=1000 g[tex]140 \ g *\frac{1 \ kg}{1000 \ g}=\frac{140}{1000} \ kg =0.14 \ kg[/tex]

Substitute the values into the formula.

[tex]F= 0.14 \ kg * 25 \ m/s^2[/tex]

Multiply.

[tex]F= 3.5 \ kg*m/s^2[/tex]

1 kilogram meter per square second is equal to 1 NewtonOur answer equals 3.5 Newtons

[tex]F= 3.5 \ N[/tex]

3.5 Newtons of force are required.

Examine the diagram of a cell.
Which organelle is marked with an X?
cell membrane
mitochondrion
nucleus
ribosome

Answers

Answer:

It is the Nucleus

Answer:

Nuclease

Explanation:

what instrument will be used to measure the volume of a box​

Answers

Answer:

A ruler.

Explanation:

Just measure height, length and width and multiply each.

An ant is crawling on the sidewalk. At one moment, it is moving south a distance of 5.0 mm. It then turns southwest and crawls 4.0 mm. What is the magnitude of the ant’s displacement?
A) 8.3mm
B) 8.3cm
C) 8.3m
D) 8.3km

Answers

The correct answer is (A) 8.3mm.

The total displacement will be the vector sum of the two displacements given in the question.

let the displacement to the south represent vector A = 5mm in magnitude directed toward south.

let the displacement to the south-west represent vector B = 4mm in magnitude directed toward south-west.

The angle between vector A and vector B is 45°, the angle between south and south-west.

SO the resultant

R = vectro A + vector B

[tex]R=\sqrt{A^{2}+B^{2}+2ABcos(45) } \\\\R=\sqrt{25+16+40*\frac{1}{\sqrt{2} } } \\\\R=8.3mm[/tex]

The ant's displacement is 8.3 mm in magnitude.

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Timed plz hurry
Enlarged brain ventricles are presumed to signify
A. an excess of dopamine activity
B. frontal lobe abnormalities
C. development of brain tissue
D. a deterioration of brain tissue

Answers

Answer:

D. a deterioration of brain tissue

A deterioration of brain tissue cause enlargement of brain ventricles

When an injury or illness alters the circulation of CSF, one or more of the ventricles becomes enlarged as CSF accumulates. In an adult, the skull is rigid and cannot expand, so the pressure in the brain may increase profoundly. Hydrocephalus is a chronic condition in which  is the buildup of fluid in the cavities (ventricles) deep within the brain. It can be controlled, but usually not cured.What is CSF?Cerebrospinal fluid (CSF) is a clear, colorless liquid found in your brain and spinal cord. They combinedly form central nervous system.Central nervous system controls and coordinates everything you do including  muscle movement, organ function, and even complex thinking and planning

Hence, D) is the correct option.

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Aphids are a type of insects that sucks the sap out of certain types of plants, including potatoes. Not only do they physically damage and weaken the potato plants, but they can also infect them with diseases.

Which of the following examples shows a relationship that is most like that of the aphid and potato plants?

Answer Choices:
A. Crop plants must compete with weeds for available resources like nutrients, water, and space.
B. Anemones protect clownfish from predators while benefiting from nutrients in the waste of the fish.
C. The mistletoe plant attaches to trees and extracts nutrients for itself, which stunts tree growth.
D. Remora fish attach to sharks, eat scraps off the shark's prey, and remove parasites from the shark's skin.

Answers

The aphids suck the sap out of plants & kill or harm them. This is most like C. Mistletoe extracts nutrients from trees & stunt their growth.


Find the magnitude of the sum
of these two vectors:
5.00 mA,
30.0°
B4
6.00 m
magnitude (m)​

Answers

Answer:

Approximately [tex]3.01\; \rm m[/tex].

Explanation:

Decompose each vector into the sum of two vectors: a horizontal one (parallel to the arrow that points to the right) and a vertical one (parallel the arrow that points upwards.)

Vector [tex]\sf A[/tex] is horizontal and is at an angle of [tex]0^\circ[/tex] with the horizon.  

Horizontal component of vector [tex]\sf A[/tex]: to the right, with a length of [tex]5.00\; \rm m \cdot \cos\left(0^\circ \right) = 5.00\; \rm m[/tex].Vertical component of vector [tex]\sf A[/tex]: [tex]5.00\; \rm m \cdot \sin\left(0^\circ \right) = 0\; \rm m[/tex].

Vector [tex]\sf B[/tex] is at an angle of [tex]30^\circ[/tex] below the horizon.

Horizontal component of vector [tex]\sf B[/tex]: to the right, with a length of [tex]\displaystyle 6.00\; \rm m \cdot \cos\left(30^\circ \right) = (6.00\; \rm m) \times \frac{\sqrt{3}}{2}\approx 5.19615\; \rm m[/tex].Vertical component of vector [tex]\sf B[/tex]: downwards, with a length of[tex]\displaystyle 6.00\; \rm m \cdot \sin\left(30^\circ \right) = 6.00\; \rm m \times \frac{1}{2} = 3.00\; \rm m[/tex].

Calculate the sum of vector [tex]\sf A[/tex] and vector [tex]\sf B[/tex].

The horizontal component of vector [tex]\sf A[/tex] and vector [tex]\sf B[/tex] are opposite to one another. Therefore, the length of the horizontal component of [tex]\sf (A + B)[/tex] would be the difference between the length of the horizontal components of vector [tex]\sf A\![/tex] and of vector [tex]\sf B\![/tex]:

[tex]\displaystyle (6.00\; \rm m) \times \frac{\sqrt{3}}{2} - 5.00\; \rm m \approx 0.196152\; \rm m[/tex].

The length of the vertical component of vector [tex]\sf A[/tex] is [tex]0\; \rm m[/tex]. Therefore, the length of the vertical component of [tex]\sf (A + B)[/tex] would be equal to the length of the vertical component of vector [tex]\sf B[/tex], [tex]\displaystyle 6.00\; \rm m \times \frac{1}{2} = 3.00\; \rm m[/tex].

Therefore, the length of the horizontal and vertical component of [tex]\sf (A + B)[/tex] are approximately [tex]0.196152\; \rm m[/tex] and [tex]3.00\; \rm m[/tex], respectively. The length of vector [tex]\sf (A + B)\![/tex] would be approximately:

[tex]\displaystyle \sqrt{(0.196152\; \rm m)^{2} + (3.00\; \rm m)^{2}} \approx 3.01\; \rm m[/tex].

All of the following are possible transition points that occur during adulthood except __________.
A.
marriage
B.
rapid physical growth
C.
parenthood
D.
divorce

Answers

Answer:

B

Explanation:

.....................

Answer:

B. Rapid Physical Growths

REAL ANSWER = BRAINLIST LOOK AT PICS ATTACHED

Answers

Answer:

there are no pictures attached.

Objects A and B both have mass 2 kg. Object A has temperature 20°C and Object B has temperature 40°C. The specific heat of Object A is larger than that of Object B. The two objects are isolated from the environment and are brought into thermal contact with each other and allowed to come to thermal equilibrium. Is the final temperature of both objects greater than, less than or equal to 30°C? Briefly explain your reasoning.

Answers

Answer:

Equal to 30°C.

Explanation:

The final temperature of both objects are equal to 30°C because of the conduction heat from one object to another. Both objects have same mass of 2 kg and both were isolated from the external environment so conduction of heat occurs from the more hotter body to the less hotter body until the temperature of both objects are equal to each other.

The final temperature of both objects is less than 30° C

What is the specific heat of an Object?

The specific heat of an object is the minimum required quantity of heat needed to raise the temperature of 1 gram of the object(substance) by 1° C.

From the parameters given:

The mass of both Object A and B = 2kgThe temperature of Object A = 20° CThe temperature of Object B = 40° C

Using the Calorimetry principle, we need to understand that the heat lost by an object at a high temperature is proportionally equal to that heat gained by the object at a low temperature.

i.e.

[tex]\mathbf{Q_{lost}= Q_{gain}}[/tex]

[tex]\mathbf{ms_B \Big[40^0 \ C - \theta_o\Big]= ms_A \Big [ \theta_o - 20^0 \ C \Big]}[/tex]

Given that:

The specific heat of object A is larger than that of object B i.e. [tex]\mathbf{S_A> S_B}[/tex]

Then, let us consider a scenario where [tex]\mathbf{S_A = 1.5S_B}[/tex]

Thus;

[tex]\mathbf{S_B \Big[40^0 \ C - \theta_o\Big]= 1.5S_B \Big [ \theta_o - 20^0 \ C \Big]}[/tex]

[tex]\mathbf{40^0 \ C - \theta_o= 1.5 \theta_o - 20^0 \ C}[/tex]

[tex]\mathbf{ 2.5\theta_o= 70^0 \ C}[/tex]

[tex]\mathbf{ \theta_o= \dfrac{70^0 \ C}{2.5}}[/tex]

[tex]\mathbf{ \theta_o=28 ^0 C}[/tex]

Therefore, we can conclude that since the specific heat of object A is larger than that of object B i.e. [tex]\mathbf{S_A> S_B}[/tex], then the final temperature [tex]\mathbf{ \theta_o<30 ^0 C}[/tex]

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Chlorine gas (Cl2) can be produced using this equilibrium reaction involving gaseous PCl5 and PCl3. Which change would drive this process toward the product side?

PCl5 + energy ⇄ PCl3 + Cl2
A.
Decreasing the temperature
B.
Increasing the pressure
C.
Decreasing the pressure
D.
Removing the PCl5 as it forms

Answers

Answer:

C. Decreasing the pressure

Explanation:

The specific heat of water in its solid phase (ice) is 2090 J/(kg K), while in the liquid phase (water) its specific heat is 4190 J/(kg K). Water's latent heat of fusion is 333,000 J/kg. If you have a 2kg block of ice at -90°C and you add 1,000,000 J of heat, what is its new temperature?

a. 0°C
b. 14°C
c. 49°C
d. 149°C

Answers

Answer:

d. 149 ⁰C.

Explanation:

Given;

mass of the block of ice, m = 2 kg

specific heat capacity of the ice, C = 2090 J/(kgK)

initial temperature of the ice, t₁ = -90 ⁰C

heat added to the ice, H = 1,000,000 J

let the final temperature of the ice = t₂

The final temperature of the ice after adding the heat is calculated as follows;

[tex]H = mC_{ice} \Delta t\\\\H = mC_{ice} (t_2 - t_1)\\\\1,000,000 = 2 \times 2090 \times (t_2 - (-90))\\\\1,000,000 = 4,180(t_2 +90)\\\\1,000,000 = 4,180t_2 + 376,200\\\\1,000,000 - 376,200 = 4,180t_2\\\\623,800 = 4,180 t_2\\\\t_2 = \frac{623,800}{4,180} \\\\t_2 = 149 \ ^0C[/tex]

Therefore, the new temperature of the water is 149 ⁰C.

Lithium (chemical symbol Li) is located in Group 1, Period 2. Which is lithium most likely to be? O A. A soft, shiny, highly reactive metal OB. A soft, shiny, highly reactive nonmetal O C. A gaseous, highly reactive nonmetal O D. A metalloid with properties of both metals and nonmetals SUBMIT​

Answers

Answer:

A. A soft, shiny, highly reactive metal

Explanation:

Lithium  is located in Group 1, Period 2. lithium is most likely to be soft, shiny, highly reactive nonmetal. Hence option A is correct.

What is Atom ?

Atom is smallest entity of a body. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table.

The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons .

Hence option A is correct.

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The law of universal gravitation states that any two objects in the universe, without exception,
a
repel each other

b
attract each other
c
create friction

Answers

Answer:

attract each other

Explanation:

..........

What are 4 ways individuals can influence the government?

Answers

Voting, running, speaking in front of government
Other Questions
Please help i have a a question and its true or false . What a cold day it is! Brrrr!the bold word is a noun WILL MARK BRAINLIEST!!!!!!!!! what is 5/1 as a whole number Find the equation of the linear function represented by the table below in slope-intercept form. The table is in the picture below Jason claims that the value of x - r must be greater than the value of x - q. His reasoning is that r is closer to zero than q Explain why Jasons claim and reasoning are incorrectProvide a correct claim and reasoning, explaining how the distances of r and y from zero support your reasoning Arifs grandfather is 9 times as old as Arif. Which of these could be the age of Arifs grandfather? PLSS THIS IS SO CONFUSING!1 Find the AOS, vertex and sketch the parabola.5) y=-x2 + 4x+3vertex: AOS: Eric's water bottle holds 500 mL. He drinks 4 bottles of water at soccer practice.How many liters of water does he drink?A.2 LB.5 LC .2LD.5L The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton of sugar. The second company charges $7143 to rent trucks plus an additional fee of $175.75 for each ton of sugar. A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangleQuestion 2 options:A. acuteB. obtuseC. rightD. it does not make a triangle help pls what is the area of this shape? Help me please, thank you! What will be the linear equation for the shown table? What is congruent in this problem? 6 Find the Surface Area of the below image. 4 cm 10 cm 7 cm Part A There are pairs of rectangles in this Rectangular Prism. Timed plz hurry Research indicates that individuals experiencing depression often experience anxiety disorders.Please select the best answer from the choices providedT/f? PLZ ANSWER ASAP WILL AWARD BRAINLIEST!!!!A 3-D printer is used to produce plastic models of crayons, which will be used as part of a larger model. The dimensions of the crayons will be shown in the attachment.How much plastic is needed to make each crayon?Use =3.14 and round your answer to the nearest millimeter.Enter your answer in the box. Consider the line 7x+8y=-5.What is the slope of a line perpendicular to this line?What is the slope of a line parallel to this line? Random question, if Tanjoro, Zenitsu, and other Demon Slayers can conjure elements with their swords, then can we do the same?A) HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHHB) Their freakin' anime characters... oF cOuRsE wE cAn (_)C) These physics don't match up...D) Their freakin' anime characters... of course not.. help me with this please I'll give branliest In I Wandered Lonely as a Cloud, What is the purpose of the author creating four separate stanzas within the poem?