Un globo electrostáticamente cargado ejerce una fuerza de atracción sobre un papel de tal forma que se pueden identificar dos cargas positivas en la periferia del globo y una negativa en la periferia del papel. Las cargas del globo y del papel están colocadas en los vértices de un triángulo equilátero cuyos lados tienen una longitud de 5 cm, tal como se muestra en la figura. Se sabe que la carga q1tiene polaridad negativa con un valor de 20 μC (microcoulomb), la carga q2 tiene polaridad positiva con una magnitud de 10μC y la carga q3 también tiene polaridad positiva con una intensidad de 30 μC.




Determina la magnitud de la fuerza de atracciónresultante que ejercen las cargas q2 y q3 sobre q1 y el ángulo del vector de la resultante.
a. Utiliza el plano cartesiano para graficar el resultado, de la magnitud de la fuerza de atracción.​

Answers

Answer 1

The magnitude of the resultant force that q2 and q3 exert on q1 is 7.65 N and the angle of the resultant force vector with the line joining q1 and q2 is approximately 51.8 degrees.

How to determine magnitude?

Coulomb's law describes the force between two charges. It states that the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The equation is:

F = k × |q1×q2| / r²

where F = magnitude of the force between the charges, k = Coulomb's constant (~8.99 × 10⁹ N m²/C²), q1 and q2 = charges, and r = distance between the charges.

The direction of the force is along the line joining the charges. For like charges, the force is repulsive and for unlike charges, the force is attractive.

First, find the forces exerted on q1 (negative charge) by q2 and q3 (positive charges). Both forces will be attractive and directed towards the respective charges.

Force due to q2:

F12 = k × |q1q2| / r²

F12 = 8.9910⁹ N m²/C² × |-2010⁻⁶ C × 1010⁻⁶ C| / (0.05 m)²

F12 = 3.596 N, directed towards q2.

Force due to q3:

F13 = k × |q1q3| / r²

F13 = 8.9910⁹ N m²/C² × |-2010⁻⁶ C × 3010⁻⁶ C| / (0.05 m)²

F13 = 5.394 N, directed towards q3.

To find the resultant force, add these two forces vectorially. Given that the charges are placed at the vertices of an equilateral triangle, the angle between F12 and F13 is 60 degrees. We can use the law of cosines to find the magnitude of the resultant force:

F = √( F12² + F13² + 2F12F13cos(60°) )

F = √( (3.596 N)² + (5.394 N)² + 2(3.596 N) × (5.394 N)×0.5 )

F = 7.65 N

Next, find the angle of the resultant force vector with respect to F12 (or the line joining q1 and q2). Use the law of sines for this:

sin(θ) = F13 × sin(60°) / F

θ = arcsin( (5.394 N) × √(3)/2 / 7.65 N )

θ ≈ 51.8 degrees

So, the magnitude of the resultant force that q2 and q3 exert on q1 is 7.65 N and the angle of the resultant force vector with the line joining q1 and q2 is approximately 51.8 degrees.

In the Cartesian plane, plot these forces as vectors starting at q1 and directed towards q2 and q3, and then plot the resultant force as a vector starting at q1 and making an angle of 51.8 degrees with the line joining q1 and q2.

Find out more on charges here: https://brainly.com/question/25922783

#SPJ2


Related Questions

PLZZZ HELP, THIS IS SUPER CONFUSING

Answers

Answer:

1. Sea diferente de sus amigos y dé una fiesta de tapas españolas este mes. Esté preparado, con el nuevo libro " ¡Viva España! Tapas y platos tradicionales ", por el chef Juanjo Semprún. Vaya a su librería local para buscarlo hoy. Si todavia no esta decidido, sepa esto.....

2.

Compre

Haga

Hierva

Ponga

Cene

Read the following paragraph.
After reading the passage, answer each question that follows on the basis of what is stated or implied in the paragraph using complete sentences in Spanish. Me llamo Anabel. Soy de Costa Rica. Me encanta viajar. El año pasado fui a Puerto Rico y me gustó mucho. Hace dos meses fui a Argentina y bailé el tango. Es un baile muy interesante. La semana pasada viajé a Ecuador y visité Las Islas Galápagos. Aprendí a bucear en Las Islas Galápagos durante mi viaje. Ví focas(seals), lobos marinos(sea lions), iguanas, pelícanos, y pingüinos. Pasé un tiempo magnífico. Ahora me estoy preparando para hacer un viaje a Perú. Tengo que hacer mi maleta y estar en el aeropuerto en tres horas. Estaremos en Perú a las ocho de la noche y mañana iremos a Machu Picchu. ¡Qué divertido!


¿Dónde estará Anabel mañana?

Answers

Answer: Anabel estará mañana en Machu Picchu

Explanation:

She is going to be at Macau Piccu

Identifica el error de ortografía de una de las palabras en negrita del diálogo y escribe la corrección. Identify the spelling error in one of the words in bold and write the correction. You may copy and paste the accented and special characters from this list if needed: Á, á, É, é, Í, í, Ó, ó, Ú, ú, ü, Ñ, ñ, ¡, ¿

—¿Qué talla de vestido necesitas para la boda?
—Todavía no estoy segura. Mi mamá quiere que yo valla a medirme esta tarde.

Answers

I think is vaya instead of valla

Answer:

The spelling error is found in the word:

Valla.

The correct form of the verb is:

- ¿Qué talla de vestido necesitas para la boda?

- Todavía no estoy segura. Mi mamá quiere que yo vaya a medirme esta tarde.

Explanation:

The translation of the conversation is:

- What dress size do you need for the wedding?

- I'm not sure yet. My mom wants me to measure myself this afternoon.

The conjugation of the verb "ir" in the Subjunctive Form, depending on the personal pronoun is:

Yo vaya.vayas.Usted vaya.Él vaya.Ella vaya.Ello vaya.Nosotros/Nosotras vayamos.Ustedes vayan.Ellos/Ellas vayan.

As you can see, none of the conjugations is found with "ll" but they all have the "y," so this is the error to denote within the conversation.

Escoge la conjugación correcta del verbo Sofía y Carlos _______ la solicitud de empleo. leerá leerán leeremos

Answers

Leerán

I’m bilingual, if u need anything, ask

Answer:

Leerán = plural of They.

Explanation:

Sofía y Carlos leerán la solicitud de empleo.

In Spanish-speaking countries people rely mostly on public transportation to get where they need to go.


True
False

Answers

The answer is true because I’ve been to Mexico many times and it really easy to get around just by walking

Spanish-speaking countries people rely mostly on public transportation to get where they need to go. Therefore, it's true.

What is transportation?

It should be noted that transportation simply means the movement of people from a particular point to another.

In this case, Spanish-speaking countries people rely mostly on public transportation to get where they need to go. Therefore, it's true.

Learn more about transportation on:

https://brainly.com/question/24925498

Question 2 (5 points)
Which of the following movements did NOT exist at the same time as Realism?
Modernism
Victorian period
Information Age
Romantic period​

Answers

Answer:   D.) Romantic period

Answer: Information Age.

Explanation: Realism's period was around 1800's and early 1900's.

Modernism started in the early 1900's and continued until the 1940's

The victorian period started around 1840 and ended in the start of the 1900's

The information age (or the computer age) started in the 20th century (more exactly around the 1970's)

The romantic period lasted from the late 1700's and lasted until the 1850's, so this shared some years with realism.

Then the correct option is the information age, that started in the late 1900's while the realism movement ended in the early 1900's

Choose the sentence in which the capitalized word is grammatically correct.
A. El coche ESTAN parados a la izquierda.
B. El coche ESTÁ parado a la esquina.
C. El tren ESTAN paradas a la derecha.
D. El tren ESTOY parada a la oficina

Answers

The answer is B

If you used the estate conjugation chart it will help a lot

Yo-Estoy Nosotros-estamos

Tu-estas. Vosotros-estais

El/Ella-esta. Ellis/Ella’s-estan

Hoped that help

the answer is B . El coche ESTÁ parando a la esquina.

realidades 1 capitulo 8a videohistoria comprendes​

Answers

Answer:

Which statement describes the graph of function g?

A.  

The graph of g is 3 units to the right of the graph of f.  

B.  

The graph of g is 3 units to the left of the graph of f.  

C.  

The graph of g is 3 units below the graph of f.  

D.  

The graph of g is 3 units above the graph of f.

Explanation:

Fill in the blank with the preterite tense conjugation of the verb provided between parentheses.

Ellas (sacar) fotos en blanco y negro.

saque
sacando
sacan
sacaron

Answers

Answer:

Sacaron

Explanation:

Sacaron bc it’s in past tense

Fill in each blank with the correct PRETERITE conjugation of the verb in parentheses.
Ex. Después de las clases, mis amigos _________ (correr) al cine. ANS: corrieron

1. Yo ________________ (montar) la bicicleta con mis amigos. *
2. Las chicas ________________ (cantar) la música de Katy Perry. *
This is a required question
3. Benjamín ________________ (comer) el sándwich con el jamón y el queso. *
4. Mi hermana ________________ (pasar) tiempo con amigos. *
5. Yo ________________ (escribir) a mis amigos en México. *

Answers

1: Monte

2: Cantaban

3: comio

4: paso

5: escribi

Which phrase correctly completes this conversation?
Juan: ¿Cuánto pesas?
Pedro: _________ sesenta y tres kilos.

Answers

Answer: i belive your answer is pesar

Explanation: it means weigh :)

Hope this helps you out :)

Answer:

pesar. It means weight

como perdió el equilibrio mental don quijote

Answers

Much has been written about Don Quixote from a psychological and psychiatric point of view. Different schools over the years have diagnosed various conditions from paranoia, persistent delusional disorder, and folie à deux to a “healthy reaction to a mad world.”

Spanish:

Mucho se ha escrito sobre Don Quijote desde un punto de vista psicológico y psiquiátrico. A lo largo de los años, diferentes escuelas han diagnosticado diversas afecciones, desde paranoia, trastorno delirante persistente y folie à deux, hasta una "reacción saludable a un mundo loco".

Complete each sentence below by writing the missing verb. Use one of the following verbs that best complete the sentence. COMER, BEBER, COMPRENDER, ESCRIBIR, and COMPARTIR. DO NOT USE CAPITAL LLETERS.

1. Antonio___ sus papas fritas con Amelia.

2. Uds.______ los sándwiches de queso.

3. Yo_______ las salchichas en el desayuno.

4. Nosotros ________ el té helado

5. Ana________ la tarea.

6. Tú _________-- una carta al profesor.

7. Yo ____ el pan con Jorge.

8. Él _______ jugo de naranja en el desayuno.

9. Nosotros _______ con un lápiz.

10. Paula y Guillermo hablan y_____ español.

Answers

Antonio come sus papas fritas con Amelia

Uds comparten los sándwiches de queso

Yo como las salchichas en el desayuno

Nosotros bebemos el té helado

Ana comprende la tarea

Tú escribes una carta al profesor

Yo comparto el pan con Jorge

El bebé jugo de naranja en el desayuno

Nosotros escribimos con un lápiz

Paula y Guillermo hablan y comprenden español

1. Come

2. Comen

3. como

4. bebemos

5. Comprende

6. Compartes

7. Como

8. Bebe

9. Escribimos

10. Comprenden

I met Luisa yesterday. Yo sabía a Luisa ayer. Yo supe a Luisa ayer. Yo conocí a Luisa ayer. Yo conocía a Luisa ayer.

Answers

Answer:

Yo conocí a Luisa ayer

Explanation:

The answer is

Yo conocí a Luisa ayer. It translates to “ I met Luisa yesterday.

¿Por qué no pudo terminar Eva con todos sus planes políticos?



Su esposo, el presidente, murió a una edad temprana.

Aunque quería ser vicepresidente, la gente argentina no la apoyó.

Decidió volver a su carrera anterior, la de ser actriz.

Ella murió a una edad temprana.

Answers

Answer: Ella murió a una edad temprana.

She died at a young age.

Explanation: Due to cervical cancer, Eva Perón died on July 26, 1952, at the age of 33 years.

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

Answer:

D.) Ella murió a una edad temprana.

Explanation: Espero y te ayude en tu examen :)

¿Qué miró el público? ( los representaciones y las obras teatrales)

Answers

Translation: What did the public watch? (representations and plays)

Alguien llamó al número de emergencia y la ambulancia ___ muy pronto. A. Estaba viniendo b. Venía c. Vino d. viene

Answers

Answer:

C vino

Explanation:

Alguien llamó al número de emergencia y la ambulancia vino muy pronto. 

Answer:

c. vino

Explanation:

yo trabajo muy fuerte. yo quiero trabajar/trabajo muy fuerte​

Answers

Answer: Muy bien! Yo trabajo mucho tambien! Yo no trabajo el fin de semana.

Yo no trabajo pero mis papas si, trabajan mucho para mi y mi hermanito

What is future tense
La hormiga(morir) Cuando have frio
Moriras
Moira
Morire

Answers

Answer:

morira

Explanation:

The answer is Moira.

6

Select the correct answer
What would you buy at la verdulería?

A.
aspirinas
B.
periódicos
C.
pollo
D.
patatas

Answers

Answer:

Patatas.

Explanation:

Potatoes is what you buy in a market.

Market = verdulería

Answer:

C // Pollo

Explanation:

La verduleria is basically a grocery store.

A = Asprin (medicine)

B = Newspaper

C = Chicken

D = Short

While you could buy A aswell, I'm guessing they mean a real grocery store, leaving Chicken, Pollo as the only answer.

Hope this helps.

Match the image with its correct word or words.

-La dirección

-La calle

-El país

-La avenida

Answers

-The direction

-The street

-The country

-Avenue

El argumento está basado en__del crimen que ayuda al detective aunque no
puede hablar.
el criminal
el personaje
la enamorada
la víctima

Answers

Answer:

la victima

Explanation:

La respuesta es : La victima

No creo que yo... ir a la fiesta esta noche

Answers

Translated: I don’t think that I... go to the party tonight

If the ... was supposed to be a fill in the blank, then the sentence would be: No creo que yo puedo ir a la fiesta esta noche.

No creo que yo... ir a la fiesta esta noche

Answer:  pueda

No creo que yo pueda ir a la fiesta esta noche.

Translation: I do not think I can go to the party tonight.

Explanation: The subjunctive mood is used in expressions of will, doubt or suggestion. A noun clause works as the direct object of the main verb.

Yo pueda: subjunctive present, first person singular.

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

¿Qué necesito para entrar y salir a diferentes países? a. pasaporte b. aduana c. formulario


pretty sure its A

Answers

Answer:

The answer is A 100% sure

Explanation:

You’re answer is in fact A

Hay influencia italiana y francesa en el español que se habla en Buenos Aires.

True
False

Answers

Answer:

true

Explanation:

Answer

True

Explanation

Yo soy nicaraguense. Soy de

Answers

Answer:

nicaragua

Explanation:

Answer:

nicaragua

Explanation:

its saying your nicaraguense.then its asking where your from...obviously nicaragua

Please select the word from the list that best fits the definition


los esquís acuáticos

WATER SKIS

Answers

Water skis is los esquís acuáticos in Spanish, unless there is more to your question?

Los esquís acuáticos=the water skis

Word Bank: trabajador(a), perezoso(a), generoso(a), tacaño(a), serio(a), gracioso(a), optimista, pesimista, paciente, impaciente, creativo(a), espontáneo(a), estudioso(a), sincero(a), tímido(a) DONT FORGET TO USE THE CORRECT GENDER

No es serio nunca. Le gusta mucho reír. Él es muy ___.

Answers

gracioso (it means “funny” in English).

He is never serious, he likes to laugh. He’s (funny )

Write a dialogue between the court judge and an offender.
HELP PLZ

Answers

Answer:

Offender: ¡Por favor me declaro inocente!

Judge: Pero la evidencia es cierta. Dice aquí que tu robaste el banco.

Offender: ¡Pero tengo un gemelo!

Judge:  No seas ridiculo

Explanation:

judge: “el jurado dice que eres culpable”

offender: “¡lo prometo! no soy culpable! no late maté”

1. Al recibir la carta, ¿por qué la leía y la releía Miguel?
(A) Porque la idea de viajar le atraía.
(B) Porque quería comprender su contenido.
(C) Porque le sería imposible ir a San Sebastián.
(D) Porque quería aprendersela de memoria.

Answers

Answer:

i think b or d

Explanation:

i think b makes the most sense

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