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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 q1 tiene polaridad negativa con un valor de 20 μC (microcoulomb), la carga q2 tiene polaridad positiva con una magnitud de 10 μC y la carga q3 también tiene polaridad positiva con una intensidad de 30 μC.


Calcula la fuerza de q3 sobre q1. Para ello, hay que sustituir los valores de las respectivas cargas en la ecuación de la ley de Coulomb y el valor de la distancia d , la cual corresponde a la separación entre q1 y q3.

Realiza el cálculo de la fuerza de q2 sobre q1.

a. Utiliza el plano cartesiano para graficar los resultados de las fuerzas solicitadas.

Determina la magnitud de la fuerza de atracción resultante 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.

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Answer:

1

Step-by-step explanation:

⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)

The above expression can be simplified as follow:

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

Recall:

a LogM = Log Mᵃ

Therefore,

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)

= Log(5/2) – Log(4/25) + Log(16/25)

Recall:

Log M – Log N = Log M/N

Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)

Log(5/2) – Log(4/25) = Log (5/2 × 25/4)

Log(5/2) – Log(4/25) = Log (125/8)

Therefore,

Log(5/2) – Log(4/25) + Log(16/25)

= Log (125/8) + Log(16/25)

Recall:

Log M + Log N = Log MN

Log (125/8) + Log(16/25)

= Log (125/8 × 16/25)

= Log 10

= Log₁₀10 = 1

Therefore,

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

= 1

Answer:

8

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

This is Pythagorean Theorem. AB is the "a" side, BC is the "b" side, and the x (or AC) is the hypotenuse. In Pythagorean Theorem, a^2 + b^2 = c^2  is used to find the hypotenuse, or in this case, segment AC. We find this by doing 8^2 + 15^2 which gives us 289. We then take the square of that which is 17 to find the hypotenuse, or the length of line segment AC

Brainliest pls

Answer:

1 1/4

Step-by-step explanation:

4/4 + 1/4 = 5/4

4/4 = 1

so 1 1/4

Answer: 1  1/4

Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify.  then when that down we need to calculate the greatest common factor.

Answer: B)  4 & 1/6

Nice work on getting the correct answer.

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Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why choice B is the answer.

Side note: 25/6 = 4.167 approximately

Answer:

83/100

Step-by-step explanation:

Answer:

A (NO)      B(YES)    C(YES)

Step-by-step explanation:

Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.

Answer:

what genre babe‍♀️

Answer:

It depends on a lot what kind you like and if u have watched a lot

the promised Neverland

Black Clover

Aot

HxH

Monster

Code grass

The classroom of the elite

Psycho pass season 1 only

COMEDY

The disastrous life of saiki k

Kaguya sama love is war

Answer:

1,f

2,t

the last one just use photo math

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

Answer: =3y−6.5z−9

Step-by-step explanation:

hello

Step-by-step explanation:

180 - (sum of known angles) = missing angle

you can substitute the values

angles in a triangle add up to 180

Answer:

C

Step-by-step explanation:

1*18 2*9 3*6

Answer:

D) 500 square feet

Step-by-step explanation:

20x40=800

30x10=300

800-300=500

Answer:

500 square feet

Step-by-step explanation:

Walk way A=bh

A=40 times 20

A=800

garden

A=30 times 10

A=300

Now subtract walkway from the garden. 800 - 300= 500

Answer: 2/2

Step-by-step explanation:

6 x 2/2 =6

Answer:

132/115

= 1 17/115

hope this helps

Answer:

3

Step-by-step explanation:

¡¡espero que esto ayude!!

Answer:

4^5+2x3

Step-by-step explanation:

4^5+2x3

Answer:

11?

Step-by-step explanation:

The missing side is 4 so 4+4+3=11.. Maybe?

Answer:

4^2 +3^2 =5^2

=25

Step-by-step explanation:

Pythagorean Theorem.

Answer:

A. 25°C

Step-by-step explanation:

C=5/9(77-32)

C=5/9(45)

C=25°C

To convert from Celsius to Fahrenheit. We apply the following formula:

[tex]\bf{^{\circ}C= \dfrac{5}{9}(^{\circ}F-32) \ \longmapsto \ Formula }[/tex]

We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.

[tex]\bf{^{\circ}C= \dfrac{5}{9}(77-32) \ \longmapsto \ \ Subtract \ 32 \ from \ 77. }[/tex]

[tex]\bf{^{\circ}C= \dfrac{5}{9}\times45 \ \longmapsto \ \ Multiply \ 5*45, divide \ by \ 9 }[/tex]

[tex]\bf{^{\circ}C=25}[/tex]

So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".

Answer:

48

Step-by-step explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

b = 6

h = ?

Solution

b^2 + h^2 = c^2

6^2 + h^2 = 10^2

36 + h^2 = 100            Subtract 36

h^2 = 100 - 36

h^2 = 64                      Take the square root of both sides

sqrt(h^2) = sqrt(64)

h = 8

The height = 8

Area = 1/2 * b * h

Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12

Answer:

a [tex]A = 30 + 0.45 n[/tex]

b [tex]A = 90.3[/tex]

c 0 customers

Step-by-step explanation:

Given

[tex]Base\ Amount = 30[/tex]

[tex]Rate = 0.45[/tex] per customer

Solving (a): Amount (A) on n customers

This is calculated as:

[tex]A = Base\ Amount + Rate * n[/tex]

[tex]A = 30 + 0.45 * n[/tex]

[tex]A = 30 + 0.45 n[/tex]

Solving (b): Amount on 134 customers

In this case: n = 134

So:

[tex]A = 30 + 0.45 * 134[/tex]

[tex]A = 30 + 60.3[/tex]

[tex]A = 90.3[/tex]

Solving (c): Customers at noon.

At noon, the amount is 30.

So:

[tex]A = 30 + 0.45 n[/tex]

[tex]30 = 30 + 0.45n[/tex]

Collect like terms

[tex]0.45n = 30 - 30[/tex]

[tex]0.45n =0[/tex]

[tex]n = 0[/tex]

Answer:

Can you show us the statements?

Step-by-step explanation:

Answer:

X= 1.25

13.75 + 5= 18.75

20 - 18.75= 1.25 OR 1.25 + 18.75 = 20

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

15.7/5=3.14