Point charges q1=+2.00μC and q2=−2.00μC are placed at adjacent corners of a square for which the length of each side is 4.50 cm . Point a is at the center of the square, and point b is at the empty corner closest to q2. Take the electric potential to be zero at a distance far from both charges.Part AWhat is the electric potential at point a due to q1 and q2?Part BWhat is the electric potential at point b?Part CA point charge q3 = -4.00 μC moves from point a to point b. How much work is done on q3 by the electric forces exerted by q1 and q2?

Answers

Answer 1

Answer:

A) 0 V

B) -117 kV

C) -0.468 J

Explanation:

q1=+2.00μC  q2=−2.00μC q3 = -4.00 μC

A) The electric potential at point a due to q1 and q2 ([tex]V_a[/tex]) is given as:

[tex]V_a=k\Sigma \frac{q}{r_i} = k(\frac{q_1}{r_1}+\frac{q_2}{r_2} )\\ but\ r_2=r_1=d.\ Therefore\\V_a=k(\frac{q_1}{d}+\frac{q_2}{d} )=k(\frac{2}{d}-\frac{2}{d} )=0[/tex]

B) he electric potential at point b due to q1 and q2 ([tex]V_b[/tex]) is given as:

[tex]V_b=k\Sigma \frac{q}{r_i} = k(\frac{q_1}{r_1}+\frac{q_2}{r_2} )\\ but\ r_2=4.5 cm=0.045m,\ r_1=\sqrt{0.045^2+0.045^2}= 0.0636.\ Therefore\\V_b= k(\frac{q_1}{r_1}+\frac{q_2}{r_2} )= 9*10^{9}(\frac{2*10^{-6}}{0.0636}-\frac{2*10^{-6}}{0.045} )=-117\ kV[/tex]

C) The work done on q3 by the electric forces exerted by q1 and q2 (W) is given by:

[tex]W=q_3(V_a - V_b)=-4*10^{-6}(0-(-117*10^3))=-0.468\ J[/tex]


Related Questions

Need Help !
A 1500 kg car on flat ground is
moving 5.25 m/s. Its engine
creates a 1250 N forward force as the car moves 42.8 m. What is its final velocity?​

Answers

Answer: 5.96m/s

Explanation:

Given the following :

Mass of car (m) = 1500kg

Velocity (V) = 5.25m/s

Forward force of engine = 1250N

Diatance moved = 4.8m

Final Velocity =?

Final kinetic energy = Initial kinetic energy + work done by engine

Initial kinetic energy = 0.5 × mass × velocity^2

Initial kinetic energy = 0.5 × 1500 × 5.25^2

Initial kinetic energy = 20671.875 J

Work done by engine = Force × distance

Work done by engine = 1250 × 4.8 = 6000J

Final kinetic energy = (20671.875 + 6000) J

= 26671.875 J

From kinetic energy = 0.5mv^2

26671.875 = 1/2 × 1500 × v^2

53343.75 = 1500v^2

v^2 = 35.5625

v = sqrt(35.5625)

v = 5.96m/s

To break a chemical bond, particles need to collide with a certain amount of a]energy. b]atoms. c]molecules. d]chemicals.

Answers

Answer:

Energy

Explanation:

The stronger the force it has the more quickly the bonds will break

As there will be more energy they will vibrate more and the bonds will separate easily..

The table shows data for the planet Uranus.

A 2 column table with 4 rows. The first column is labeled Quantity with entries, Escape velocity in kilometers per second, Gravitational acceleration in meters per second squared, Orbital velocity in kilometers per second, Length of day in hours. The second column is labeled Value with entries, 21.3, 8.7, 6.8, 17.2.

To the nearest whole number, how much would a 25.0 kg rock weigh on Uranus?

170 N | 218 N | 430 N | 532 N

Answers

Answer:

218 N

Explanation:

The weight of the object on Uranus W = mg' where m = mass of the object = 25.0 kg and g' = gravitational acceleration.

Since in the table, we are given different values, we look for the value of the gravitational acceleration because, that is the only variable there that can help us calculate the weight of the object.

From the table, the gravitational acceleration g' = 8.7 m/s².

So, the weight of the object W = mg'

= 25.0 kg × 8.7 m/s²

= 217.5 N

≅ 218 N

Answer:

B. 218 N

Explanation:

Edge 2020

Physics students study a piano being pulled across a room on a rug. They know that when it is at rest, it experiences a gravitational force of 2200 N. When it is being pulled with 1200 N it is sliding across the room in equilibrium, but the students feel like they had to pull harder than 1200 N at first to begin motion.

Answers

Answer:

4

Explanation:

hope this helps

Answer:

The static frictional force is greater than the kinetic frictional force, so the static frictional force is greater than 1200 N.

Explanation:

Edge 2021

a space shuttle travels in orbit at 21,000 km/hr. how far will it travel in 5 hr

Answers

Answer:

Explanation:

distance = speed * time  

distance = 21000 * 5 = 105000 km

please mark me as Brainliest

What is the energy of a photon with a frequency of 2.2 x 1016 Hz? Planck's constant is 6.63 x 10-34 Jos.
O 1.5 x 10-17
8.8 x 10-17
O 1.5 10-16
O 8.8 10-16

Answers

Answer: 1.5 × 10^-17

Explanation:

Given the following :

Frequency(f) = 2.2 × 10^16 Hz

Planck's constant(h) = 6.63 × 10^-34

The energy of a photon 'E' is given as the product of frequency and the planck's constant

E = hf

E = (6.63 × 10^-34) × (2.2 × 10^16)

E = 6.63 × 2.2 × 10^(-34 +16)

E = 14.586 × 10^-18

E = 1.4586 × 10^-17

E = 1.5 × 10-17 (2 S. F)

Answer:

C. 1.5 × 10–16 J

Explanation:

I NEED HELP PLEASE, THANKS!
Find or draw at least two pictures that illustrates Newtons Second Law. Write a paragraph describing how each of the pictures you choose illustrates the law.

Answers

Answer:

The second law of motion states that the force of an object is equal to its mass times its

acceleration.

o A change in motion occurs only if a net force is exerted on an object.

o A net force changes the velocity of the object, and causes it to accelerate.

o If an object is acted upon by a net force, the change in velocity will be in the

direction of the net force.

o The acceleration of an object depends on its mass.

o The more mass an object has or the more inertia it has, the harder it is to

accelerate.

o More mass means less acceleration if the force acting on the objects is the same.

Explanation:

Explanation:

The force exerted by the earth on a falling baseball is smaller than the force exerted by the earth on a falling bowling ball.  However, since the baseball has less mass than the bowling ball, the two accelerate at the same rate.  This is known as Galileo's gravity experiment, but it also demonstrates Newton's second law.

When a bowling ball hits a pin, the pin pushes back with equal and opposite force.  Because the bowling ball has a large mass, the acceleration caused by the force is small.  Since the pin has a small mass, the acceleration caused by the force is large.

I NEED HELP PLEASE, THANKS! Describe each Newton Law. :)

Answers

Explanation:

Newton's first law: Inertia

"An object in motion stays in motion, and an object at rest stays at rest, until acted upon by an unbalanced force."

This means that an object does not speed up, slow down, or change direction, unless the forces acting on it are unbalanced.

Newton's second law: Net force

∑F = ma

The net force (the sum of the forces acting on an object) is equal to the object's mass times its acceleration.

Newton's third law: Action/reaction

"For every action, there is an opposite and equal reaction."

This means that when one object pushes on another object (action), the second object pushes back with an equal and opposite force (reaction).

How much net force is required to keep a 3-kg object moving to the right with a constant speed of
6.0 m/s?

Answers

Answer:

Explanation:

Here,

m = 3 Kg

a = 0 m/s^2 (velocity is constant so the acceleration is zero)

We have,

F = ma

or, F = 3 x 0

or, F = 0 N

Constant velocity can always be associated with a zero net force.

What is the speed of a bus if it
covers 1.5km in 30 seconds?
a. 50km/Hr
b. 500m/s
c. 50m/s
d. 1500m/s​

Answers

[tex]answer \\ = 50 \: m / s \\ solution \\ distance \: travelled\: by \: bus = 1.5 \: km \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \times 1000 \: m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1500 \: m \\ time \: = 30 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: = \frac{1500m}{30s } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 50 \: m/s \\ hope \: it \: helps[/tex]

Answer:

C. 50 m/s

Explanation:

Given:

Distance = 1.5 km = 1500 m

Time = 30 sec

Required:

Speed = ?

Formula

Speed = Distance / Time

Solution:

Putting the given in the formula

Speed = 1500/30

Speed = 50 m/s

The half-life of carbon-14 is 5730 years. How long will it take for the number of
carbon-14 nuclei in a sample to drop to a quarter of the original number?
Enter your answer as a number
years

Answers

Answer:

11460 years

Explanation:

Let N₀ be the initial amount of carbon present. After one half-life, its value is N₀/2, after two half-lives, it is N₀/4 = N₀/2². After n nalf-lives, it is N = N₀/2ⁿ.

Now, if the value of carbon-14 drops to a quarter of its initial value, then N = N₀/4.

So, N₀/4 = N₀/2ⁿ

1/4 = 1/2ⁿ

1/2² = 1/2ⁿ

Comparing the exponents, n = 2.

So the value of carbon-14 present drops to a quarter of its initial value in 2 half-lives.

Since one-half life equals 5730 years, then two-half-lives is 2 × 5730 years = 11460 years

So, it takes carbon-14 11460 years for the number of nuclei to drop to a quarter of its initial value.

Un bombero alejado d = 31.0 m de un edificio en llamas dirige un chorro de agua desde una manguera contra incendios a nivel del suelo con un ángulo de θi = 33.0° arriba de la horizontal como se muestra en la figura siguiente. Si la rapidez del chorro cuando sale de la manguera es vi = 40.0 m/s, ¿a qué altura (en m) golpeará el edificio? m

Answers

Answer:

El chorro golpea el edificio a una altura de 15.943 metros con respecto al suelo.

Explanation:

El chorro de agua exhibe un movimiento parabólico, dado que este tiene una inclinación inicial y la única aceleración es debida a la gravitación terrestre. Las ecuaciones cinemáticas que modelan el fenómeno son:

Distancia horizontal (en metros)

[tex]x = x_{o} + v_{o}\cdot t \cdot \cos \theta[/tex]

Donde:

[tex]x_{o}[/tex] - Posición horizontal inicial, medida en metros.

[tex]t[/tex] - Tiempo, medido en segundos.

[tex]v_{o}[/tex] - Velocidad inicial, medida en metros por segundo.

[tex]\theta[/tex] - Angulo de inclinación del chorro de agua, medido en grados sexagesimales.

Distancia vertical (en metros)

[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta + \frac{1}{2}\cdot g \cdot t^{2}[/tex]

Donde:

[tex]y_{o}[/tex] - Posición vertical inicial, medida en metros.

[tex]g[/tex] - Constante gravitacional, medida en metros por segundo al cuadrado.

Partiendo de la primera ecuación, se despeja el tiempo:

[tex]t = \frac{x - x_{o}}{v_{o}\cdot \cos \theta}[/tex]

Si [tex]x = 31\,m[/tex], [tex]x_{o} = 0\,m[/tex], [tex]v_{o} = 40\,\frac{m}{s}[/tex] and [tex]\theta = 33^{\circ}[/tex], entonces:

[tex]t = \frac{31\,m-0\,m}{\left(40\,\frac{m}{s} \right)\cdot \cos 33^{\circ}}[/tex]

[tex]t = 0.924\,s[/tex]

La altura máxima se calcula por sustitución directa de términos en la segunda ecuación. Si [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 40\,\frac{m}{s}[/tex], [tex]t = 0.924\,s[/tex] y [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], entonces:

[tex]y = 0\,m + \left(40\,\frac{m}{s} \right)\cdot (0.924\,s)\cdot \sin 33^{\circ} + \frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot (0.924\,s)^{2}[/tex]

[tex]y = 15.943\,m[/tex]

El chorro golpea el edificio a una altura de 15.943 metros con respecto al suelo.

You can make a smoothie in a blender with a power of 400 watts and an efficiency of 85 percent. How much energy is actually being used to make the smoothie in 30 seconds?

Answers

Answer:

 total energy is 14.12kj

energy at 85% is 12kJ

Explanation:

2. Fill in the blanks with appropriate words.
a. The force which acts towards the centre is called .......
force.

Answers

Answer:

centripetal force

Explanation:

because this force always compels the body to move in circle

which two elements define a story's setting?
geographical location
character description
weather conditions
plot structure
dialogue and action
Reset
Next

Answers

Answer:

Geographical location, and time and weather conditions

Answer:

Georgraphical location and weather conditions

Explanation:

Setting is where the story takes place so the location would be vital and same with weather conditions because it determines what the character(s) do

A ball is falling at terminal velocity. Terminal velocity occurs when the ball is in equilibrium and the forces are balanced. Which free body diagram shows the ball falling at terminal velocity? A free body diagram with one force pointing downward labeled F Subscript g Baseline 20 N. A free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 20 N. A free body diagram with 2 forces. The first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 5 N. A free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 30 N.

Answers

Answer:

A free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 20 N.

Explanation:

This is because at terminal velocity, the ball stops accelerating and the net force on the ball is zero. For the net force to be zero, equal and opposite forces must act on the ball, so that their resultant force is zero. That is F₁ + F₂ = 0 ⇒ F₁ = -F₂

Since F₁ = 20 N, then F₂ = -F₁ = -20 N

So, if F₁ points upwards since it is positive, then F₂ points downwards since it is negative.

So, a free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 20 N best describes the ball falling at terminal velocity.

Answer:

b

Explanation:

A plane mirror is useful for seeing:

Answers

They are used to see round dangerous bends

To see round dangerous bends .

I NEED HELP PLEASE THANKS :)
Explain how the diffraction of light shows that light behaves like a wave.

Answers

Explanation:

Diffraction of light involves a change in direction of waves as they pass through an opening or around an obstacle in their path. Water waves have the ability to travel around corners, around obstacles and through openings.

mass of a body is 10 kg what does it mean​

Answers

Answer:

Explanation:

MASS of a body indicates the quantity or amount of matter contained in it.S.I, unit of mass is kg

It means the body consists of 10kg of matter, it’s mass will never change no matter where it is on earth or even space

what are the fundamental units used in physics? ​

Answers

Answer:

Metre, kilogram, second, ampere, kelvin, candela, and mole

Explanation:

A base unit (also referred to as a fundamental unit) is a unit adopted for measurement of a base quantity

Hence, the force of gravitation between Earth and Jupiter is 8.16 * 10 N
Enample 5: An apple with the mass of 200 g falls from a tree. What is the acceleration
of the apple towards the earth? What is the acceleration of the earth towards the apple?
(Given: mass of the earth = 6*10kg radius of the earth 6.4 10 m, G=6.67 * 10 " Nm
kg and neglecting height of the tree).​

Answers

Answer:

Acceleration of the apple towards the earth is: 9.7705 m/s2.

Acceleration produced on earth towards the apple

[tex]0.325*10^{-24} \ \ m/s2.[/tex]

Explanation:

Given :

[tex]m = 200 g[/tex]

We have to convert into the kg ,

so

[tex]m=0.2 kg[/tex]

M=[tex]6*10^{24}[/tex] kg

[tex]R=6.4*10^{6} m[/tex]

[tex]G= 6.67*10^{-11} \ Nm^{2} kg-2[/tex]

As the gravitational force is existing among the earth and the apple

so

[tex]F=\frac{GMm}{R^{2} }[/tex]

Putting the value of G,M,m and [tex]R^{2}[/tex], we get

[tex]\frac{6.67*10^{-11} *6*10^{24} *0.2 }{(6.4*10^{6} )^{2} } \\\\F= 1.9541\ N[/tex]

Consider a1 and a2 be a acceleration due to the gravitational force of earth attraction created on the apples

F= a1 *m

[tex]a1\ =\ \frac{F}{m}[/tex]

a1=[tex]\frac{1.9541}{0.2}[/tex]

[tex]a1=9.7705 \ m/s2[/tex]

Acceleration of the apple towards the earth is: 9.7705 m/s2.

again

[tex]F= a2 *M[/tex]

a2=[tex]\frac{F}{M}[/tex]

[tex]a2=\frac{ 1.9541}{6**10^{24} } \\a2=0.325* 10^{-24}\ m/s2[/tex]

So, Acceleration produced on earth towards the apple

[tex]0.325*10^{-24} \ \ m/s2.[/tex]

(06.04 MC)
Which of the following best describes a human egg cell? (3 points)

Answers

Answer: A haploid cell formed in the female uterus

A speeding truck travels in the positive x direction. It hits a car traveling in the positive y direction. The vehicles are deformed and travel together at an

angle with the positive x-axis. What can you say about the kinetic energy of the system after the collision?

Kinetic energy of the system is conserved.

B.

Kinetic energy of the system is partially used up in the deformation of the vehicles

Kinetic energy of the system is unrelated to the deformation of the vehicles.

C.

D.

Kinetic energy of the system is completely transformed to heat energy

Answers

Answer:

B. Kinetic energy of the system is partially used up in the deformation of the vehicles.

Explanation:

In an inelastic collision, momentum is conserved, but kinetic energy is not. Kinetic energy is lost as heat or lost in the deformation of the objects.

The correct statement about Kinetic energy of the system after the collision is that KE of the system will be partially used up in the deformation of the vehicles. Hence, option B is correct.

What is Kinetic energy?

The force that an object has because it is moving is known as kinetic energy in physics. It is defined as the quantity of effort required to accelerate anybody of a specific mass from rest to its specified velocity. The body keeps its kinetic energy after acquiring it during acceleration, barring changes in speed.

When slowing from its current pace to a condition of rest, the body expends the very same amount of energy. Any term in the Lagrangian of a system that has a derivative in regard to time is formally referred to as kinetic energy.

The momentum of an object is conserved, but kinetic energy is not in an inelastic collision. In the form of heat or by the distortion of the objects, kinetic energy is lost.

To know more about kinetic energy:

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A 2-kg object is moving 6 m/s in a horizontal direction.
How much net force is required for this object to continue its state of motion?
Α. Ο Ν
B.
2N
C.
3 N
12 N​

Answers

Answer: A) O N

Explanation:

An object in motion will maintain its state of motion. The presence of an unbalanced force changes the velocity of the object.

I NEED HELP PLEASE, THANKS! :)
Explain how the diffraction of light shows that light behaves like a wave.

Answers

Answer:

Diffraction of light shows that light behaves like a wave. It involves the change in the direction of waves while passing through any obstacle. Diffracted light can produce fringes of light, dark or colored bands (Just like the rainbow which is also a light wave). Diffracted light has certain wavelength, amplitude , frequency and speed which are the basic characteristics of being a wave which shows that light actually behaves like a wave.

The energy from 0.015 moles of octane was used to heat 250 grams of water. The temperature of the water rose from 293.0 K to 371.2 K. What is the enthalpy of combustion of octane? The specific heat capacity of water is 4.18 J/K g.

A. -1226 kJ/mol
B. -5448 kJ/mol
C. 293.25 kJ/mol
D. 1226 kJ/mol

Answers

Answer : The correct option is, (B) -5448 kJ/mol

Explanation :

First we have to calculate the heat required by water.

[tex]q=m\times c\times (T_2-T_1)[/tex]

where,

q = heat required by water = ?

m = mass of water = 250 g

c = specific heat capacity of water = [tex]4.18J/g.K[/tex]

[tex]T_1[/tex] = initial temperature of water = 293.0 K

[tex]T_2[/tex] = final temperature of water = 371.2 K

Now put all the given values in the above formula, we get:

[tex]q=250g\times 4.18J/g.K\times (371.2-293.0)K[/tex]

[tex]q=81719J[/tex]

Now we have to calculate the enthalpy of combustion of octane.

[tex]\Delta H=\frac{q}{n}[/tex]

where,

[tex]\Delta H[/tex] = enthalpy of combustion of octane = ?

q = heat released = -81719 J

n = moles of octane = 0.015 moles

Now put all the given values in the above formula, we get:

[tex]\Delta H=\frac{-81719J}{0.015mole}[/tex]

[tex]\Delta H=-5447933.333J/mol=-5447.9kJ/mol\approx -5448kJ/mol[/tex]

Therefore, the enthalpy of combustion of octane is -5448 kJ/mol.

Answer:

B.) -5448 kJ/mol

Explanation:

I got it correct on founders edtell

Which metal is used in thermometers?​

Answers

Answer:

Mercury

Explanation:

Depends on the kind of thermometer.

But traditionally, Mercury has been used in "Liquid-In-Glass" Thermometers

Answer:

Mercury

Explanation:

Most metals are good conductors of heat and they are solids at room temperature. Mercury is the only one in liquid state at room temperature. It's used in thermometers because it has high coefficient of expansion.

A heart beats 10 times in 10 seconds.
How many times does it beat in 1 minute?

Answers

The heart will beat 60 times in 1 minute.

Answer:

60

Explanation:

60secs = 1 minute

if you want to show you work further then

10 divided by 10 = 1

so each second is 1 heart beat

so then just 60 divided by 10 equals 6

so then just do 6 times 10 equals 60 beats

The estimated distance of the earth from the sun is 149000000km. The speed of the light is 300000km/s. What is the time taken for the light to travel from the sun to the earth

Answers

Answer:

The time taken for the light to travel from the earth to the sun = 496.67 seconds

Explanation:

Estimated distance of the earth to the sun = 149000000km

Speed of light =  300000km/s

Time taken for the light to travel from the sun to the earth = ?

Speed = Distance/time

time = Distance/speed

time = 149000000/300000

time = 496.67 s

The time taken for the light to travel from the earth to the sun = 496.67 seconds

As important as it is to plan ahead,sometimes you

Answers

Answer:

B. Cant stop things from going wrong.

Explanation:

To me it's the only reasonable answer...

can’t stop from things going a different way than how you plan it to be.
Other Questions
Help please I dont understand the concept Which of these names BEGINS with a stressed syllable?I Daniel or Danielle Some present-day bacteria use a system of anaerobic respiration characterized by an electron transport chain analogous to that found in aerobic organisms. Which of the following correctly characterizes the anaerobic electron transport chain?a. It uses oxygen as a final electron acceptor. b. It is embedded in the outer mitochondrial membrane rather than the inner mitochondrial membrane. c. It establishes a proton gradient between the cytoplasm and the extracellular fluid. d. It establishes a proton gradient between the intermembrane space and the cytoplasm. e. None of these answer options accurately characterizes the anaerobic electron transport chain. in volleyball if the ball lands on the line is it "in" or "out"A. InB. Out What were some of Thomas Jefferson's influences for writing the Declaration of Independence? Find the range of the function f(x) = -x 2 + 4x if the domain is {-2, 0, 1}. When the Onceler goes to town he throws his thneed away. It hits a girl and she starts to wear it as a hat. What type of diffusion is this from the lorax Development of the society is a universal process. Justify. Choose the improper fraction that is equivalent to the mixed number 2 17/24 Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P and (60 comma 0 )(60,0)? 1.Who invented the light bulb? 2.Who invented the aeroplane? 3.Who invented the telephone? A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of 2.10 m/s2 and the car an acceleration of 3.40 m/s2. The automobile overtakes the truck after the truck has moved 60.0 m.Requried:a. How much time does it take the car to overtake the truck? b. How far was the car behind the truck initially? c. What is the speed of each when they are abreast? d. On a single graph, sketch the position of each vehicle as a function of time. Take x = 0 at the initial location of the truck. What is the largest integer $n$ such that $7^n$ divides $1000!$ ? A stock character falls under which category of character? A. antagonist B. protagonist C. flat D. round What is the ratio 28 : 4 in it's simplest form? In Spanish Dancer, Rilkes use of _____ gives readers a sense of immediacy. Select all that apply.alliterationpresent-tense narrationrhymevivid imagery NEED ANSWER ASAP Match each sentence with the correct demonstrative adjective to complete it. Term Definition Bajaba por ________ tobogn rpidamente. |A) aquella Bajaba por ________ toboganes rpidamente B) esos Jugbamos a ________ rayuela en el puente. C) aquellas Jugbamos a ________ rayuelas en el puente. D) ese Soraya earned $40 in October. She earned $50 in November. What is the percent increase or decrease in Soraya's monthly earnings? Which sentence requires the use of a citation? Use the function below to find