What are the magnitude and direction of the net force on the third spider (S3) when it is resting at the origin

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  magnitude is  [tex]F_3 =0.62\ N[/tex]

Explanation:

From the question we are told that

    The distance between the spiders is  [tex]a =0.59\ m[/tex]

    The  charge on the [tex]S_1\ and\ S_3[/tex] is  [tex]q_{1}=q_{3}=q =+4.9\mu \ C[/tex]

     The  charge on [tex]S_2[/tex] is  [tex]q_2 = 4.9\mu \ C[/tex]

Given that the charge are arranged in an equilateral triangle, it implies that the angle at each vertices of the triangle is  60°

Generally the magnitude of net force on [tex]S_3[/tex] is mathematically represented as

   [tex]F_3= F_{13} cos(60)+ F_{21} cos(60)[/tex]

So

  [tex]F_{13} =\frac{k* q^2 }{a^2}[/tex]

Here k is the columns constant with value   [tex]k =  9*10^9 \ kg\cdot m^3\cdot s^{-4} \cdot A^{-2}.[/tex]

So

    [tex]F_{13}=\frac{9*10^9*((4.9*10^{-6})^2)}{0.59^2}[/tex]

=>  [tex]F_{13} =  0.62 \  N[/tex]

From the diagram we see that [tex]F_{13}= F_{23} =  0.62\  N[/tex]

So

    [tex]F_3=0.62cos(60)+0.62cos(60)[/tex]

     [tex]F_3 =0.62\ N[/tex]

Now from the diagram the ls [tex]270^o[\tex] counterclockwise from x-axis

     


Related Questions

Which of the following could not be responsible for the acceleration of an object? wind gravity density friction

Answers

Answer:

The correct answer to this question is D) Density

EXPLANATION:

From Newton's second laws of motion, we know that the external force acting on a body is equal to the product of mass with the acceleration of the body.

Mathematically Force F = m × a

Here, m is the  mass of the body.

a is the acceleration of the body.

Hence, it is the force which is responsible for creating acceleration in an object.

In the given question, we have four factors i.e wind, friction, gravity and density.

Out of the four options, wind, friction and gravity can exert force on an object and can create acceleration in it.

The density of a body is defined as the mass of that body per unit volume.

Mathematically it is written as -

Density d = \frac{m}{v} where v is the volume occupied by the body.

Hence, density will not be responsible for the acceleration of the body.

Answer:

Density

Explanation:

Hope this helps and its different for everyone for me it was C what was it for you

Does anybody know to solve this?

Answers

Answer:

25600 cm

2.56 x 10⁴ cm

Explanation:

Step 1: Find conversion

There are 100 cm in 1 m.

Step 2: Set up dimensional analysis

[tex]256m(\frac{100cm}{1 m} )[/tex]

Step 3: Multiply and cancel out units

25600 cm

2.56 x 10⁴ cm

In which of these star groups would you mostly likely find the least heavy-element abundance for the stars within them: open clusters, globular clusters, or associations?

Answers

Answer: globular clusters

Explanation:

A globular cluster is a star which is usually spherical, it’s a collection of stars which is known to orbits a galactic core. Globular clusters are usually very tightly bound together by gravity, this helps in giving them their spherical shapes which they are known for, and it’s relatively high stellar densities which is found toward their centers.

whats fater, 1m/sor 1 mph

Answers

Answer:

1m/s should be the answer

Answer:

[tex]\Huge \boxed{\mathrm{1 \ m/s }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Explanation:

We will convert 1 m/s into mph.

1 m/s = 2.237 mph

2.237 mph > 1 mph

1 m/s is faster than 1 mph.

[tex]\rule[225]{225}{2}[/tex]

describe the motion of an object for which the direction of the acceleration is the same as the direction of motion of the object

Answers

Answer:

motion of an object for which the direction of the acceleration is the same as the direction of motion of the object occurs when the body or object travels with an increase in velocity

Explanation:

Because for direction of object to be the same with direction of acceleration velocity must be increasing

Review the Four Social Errors and Biases in the Highlights area on page 127 in Ch. 4 of THiNK: Critical Thinking and Logic Skills for Everyday Life. Which of the social errors/biases in the book are you most affected by? How can you overcome this social error/bias? Ch. 5 describes fallacies (when an argument seems to be correct but isn't). What is one fallacy you have personally used or seen in an argument? Discuss how critical thinking skills will make you less likely to be influenced by arguments that are based on fallacies and faulty reasoning. Reflect on the learning activities, concepts, ideas, and topics covered this week. What is the most interesting activity or concept you learned this week? Mention any concepts that are still a bit confusing to you or that you have questions about.

Answers

Answer: Provided in the explanation

Explanation:

I have understood that I have been influenced by the 'affinity bias' for quite a while. It caused me to feel fascination and feel better and right about individuals who had comparable intrigue and thought designs. I sort of began to feel this is the one for me based on those likenesses yet later used to be miserable when I comprehended that those similitudes are not many and insufficient consistently. I have begun to beat this inclination by rehearsing self reflection. I have begun to think about what causes me to feel pulled in to somebody and on the off chance that I introspect that it's exclusively founded on likenesses, at that point I cause myself to get that and monitoring that helps in escaping the inclination.

I make an effort not to get into the snare of paradoxes in my own announcements yet I have been forced to bear deceptions during contentions. One deception which I have encountered most is the 'Foul play' error as there have been a great deal of occurrences when individuals began to tear down me and my family when they couldn't win on a contention regarding balanced and rationale.

Basic reasoning causes us in understanding our defects and those issues of our own which keeps us from taking better choices and furthermore forestalls us tackling issues in more successful manners. Through basic reasoning, one can reflect and recognize utilization of deceptions in the contentions and that will help him in deciphering the circumstance from an alternate perspective. He will assess the circumstance better and through appropriate induction, he will have the option to get over those issues in thinking and subsequently, have the option to take better and more powerful choices for taking care of an issue.

The most fascinating idea which I have learned is that of the utilization of reflection or explicitly self reflection to comprehend ourselves better and furthermore to display basic reasoning appropriately. Being said that, I am a still somewhat confused about the manners by which we can reflect appropriately at each circumstance in a successful manner. This disarray remains in light of the fact that most deceptions and predispositions are oblivious in nature while the basic considering aptitudes reflection is cognizant and I meander whether a cognizant ability will have the option to break down and distinguish each oblivious inclinations or whether a few guards will keep a few inclinations covered up.

The digital exchange of structured data is called ?

Answers

Answer:

Electronic data interchange

A 30cm long tendon was found to stretch 9.0mm by a force of 11.2N.The tendon was approximately round with an average diameter of 8.9 mm.Calculate Young's modulus of this tendon.

Answers

Answer:

Young's Modulus = 6 x 10⁶ Pa = 6 MPa

Explanation:

First we need to find the stress on tendon:

Stress = Force/Area

Stress = 11.2 N/πr²

Stress = (11.2 N)/π(4.45 x 10⁻³ m)²

Stress = 180 x 10³ Pa

Now, we calculate the strain:

Strain = Change in length/Original Length

Strain = (9 x 10⁻³ m)/(0.3 m)

Strain = 0.03

Now, we calculate the Young's Modulus:

Young's Modulus = Stress/Strain

Young's Modulus = (180 x 10³ Pa)/0.03

Young's Modulus = 6 x 10⁶ Pa = 6 MPa

Alice drops a rock to a well. She hears the splash of the rock 4.1s later. The speed of sound is 340m/s. How deep is the well

Answers

Answer:

697 m

Explanation:

From the question above,

Note: Alice hears the splash of the rock in the well through the help of echo.

Applying,

v = 2x/t........................ Equation 1

Where v = speed of sound, x = depth of the well, t = time.

make x the subject of the formula in equation 1

x = vt/2................... Equation 2.

Given: v = 340 m/s, t = 4.1 s

Substitute these values into equation 2

x = 340(4.1)/2

x = 697 m.

Do your electric field and equipotential lines appear as expected?

Answers

Answer:

The question is incomplete. Let me explain the relationship between electric field and equipotential lines.

The electric field lines point symmetrically away from the positive point charge, this clearly indicates that they are perpendicular to the equipotential lines.

Explanation:

The potential for a point charge is V = [tex]\frac{kQ}{r}[/tex]

where k is a constant with value of 8.99 x 109 N m2/ , and r is the distance from point charge.

This shows that the potential for a point charge is the same anywhere on an imaginary sphere of radius r surrounding the charge.

The attached image is an isolated positive point charge Q and its electric field lines.

In the image, the electric field lines radiate out from a positive charge and terminate on negative charges.

The blue lines indicates the magnitude and the direction of the electric field.

This clearly helps us to see that the electric field lines point away from the positive point charge, which means that they are perpendicular to the equipotential lines.

Choose the box as the system of interest. What objects in the surroundings exert significant forces on this system

Answers

Answer:

Hello your question is incomplete attached below is the complete question

Your are lifting a heavy box we will consider this process for different choices of system and surroundings

Choose the box as the system of interest. What objects in the surroundings exert significant forces on this system

The floor the box you nonethe earth

answer : The earth and YOU

Explanation:

The objects that will exert significant force on this system would be the force exerted by the earth and force exerted by you

This is because the force exerted by the earth is an internal force and it can be calculated  as : m*g ( mass of the object * acceleration due to gravity ) also the force exerted by you are force due to normal reaction when lifting a load

Describe the movement of molecules in solids, liquids, and gases.Be sure to explain why the molecules move differently in each state of matter.
will mark brainliest

Answers

Answer:

The movement of molecules in a matter is random. Molecules vibrate, and collide with neighboring molecules. According to the gas laws, this collisions are perfectly elastic, and do not lead to energy or momentum loss. The kinetic energy of motion of the molecules is dependent on the temperature of the matter, and molecules of hotter matters vibrates faster than that of a colder matter.

In the different states of matter, the motion of the molecules varies. Solid molecules move the least because of the stronger bond relative to the kinetic energy of the molecule. This is why solid matters can keep their shapes, and are not easily compressed. Liquids molecules move more that solid molecules, but are still relatively close together. Bonds in liquid molecules are less strong than that of solid molecules, and hence they do not have a definite shape but take the shape of their container. Gas molecules travel at great speed, and move very much far from each other. The bond strength between gas molecules are negligible, and they are highly compressible.

Answer:

gas vibrate and move freely at high speeds. liquid vibrate, move about, and slide past each other. solid vibrate  but generally do not move from place to place

A 21.3 A current flows in a long, straight wire. Find the strength of the resulting magnetic field at a distance of 45.7 cm from the wire.

Answers

Answer:

The magnetic field strength due to current flowing in the wire is9.322 x 10⁻ T.

Explanation:

Given;

electric current, I = 21.3 A

distance of the magnetic field from the wire, R = 45.7 cm = 0.457 m

The strength of the resulting magnetic field at the given distance is calculated as;

[tex]B = \frac{\mu_o I}{2\pi R}[/tex]

Where;

μ₀ is permeability of free space = 4π x 10⁻⁷ T.m/A

[tex]B = \frac{\mu_o I}{2\pi R}\\\\B = \frac{4\pi*10^{-7} *21.3}{2\pi(0.457)}\\\\B = 9.322 *10^{-6} \ T[/tex]

Therefore, the magnetic field strength due to current flowing in the wire is 9.322 x 10⁻ T.

An athlete needs to lose weight and decides to do it by “pumping iron.” (a) How many times must an 90.0 kg weight be lifted a distance of 0.890 m in order to burn off 1.00 lb of fat, assuming that that much fat is equivalent to 3500 kcal? (b) If the weight is lifted once every 2.10 s, how long does the task take?

Answers

Answer:

230kg would be the best answer

Explanation:

what is the acceleration of the object?
______ m/s2​

Answers

Answer:

-2.5

Explanation:

Edge 2020

By observing the given graph The acceleration of the object would be -2.5  m/s², in other words, one can say the deacceleration of the object is 2.5 m/s²

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

acceleration =change in velocity/change in time

The slope of the velocity time diagram represents the acceleration of the moving object

As we can see from the graph the Y axis is representing the velocity and the X axis is representing the time

The Y coordinate changes from 40 m/s to 10 m/s and the X coordinates change from 0 s to 12 seconds

slope = (10 -40 )/(12-0)

acceleration = 30/12

acceleration =  -2.5 m/s²

Thus, By looking at the provided graph In other terms, the object's acceleration would be -2.5 m/s2, or its deacceleration would be 2.5 m/s².

Learn more about acceleration from here

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1
Name two safety measures commonly used in electric circuits and
appliances
lectric​

Answers

Answer:

always use insulated wire and use all the electrical appliances in proper way

When you use a graduated cylinder in the lab, you can only use it to find the volume of liquids. (5 points)

True
False

Answers

this is true. they have numbers on the side that help to determine the volume.

Answer:

false

Explanation:

you can't only use it to find the volume of liquids

Any body moving with simple harmonic motion is being acted on by a force that is:__________.
a) proportional to a sine or cosine function of the displacement
b) directly proportional to the displacement
c) proportional to the inverse square of the displacement
d) constant

Answers

Answer:

B

Explanation:

Because this oscillations occur when the restoring force is directly proportional to displacement, given as

F=-kx

Where k= force constant

X= displacement

14in^2
express your answer to two significant figures and include the appropriate units.

Answers

Answer:

= 9.3*10^-3m²

Explanation:

To solve this we must do some conversions

So we know that

1 inch=0.0254 m

And

So 1 inch x 1 inch = 6.4514 x 10^-m²

So 14 inch²= 14 * (6.4514 x 10^-4m²)

= 9.3*10^-3m²

El tubo de entrada que suministra presión de aire para operar un gato hidráulico tiene 2 cm de diámetro. El pistón de salida es de 32 cm de diámetro. ¿Qué presión de aire se tendrá de aire se tendrá que usar para levantar un automóvil de 17,640 N?`

Answers

Answer:

La presión neumática para levantar un automóvil de 17,640 newtons es 220,500 pascales.

Explanation:

Asumiendo que la presión ([tex]P[/tex]), medida en pascales, tiene una distribución uniforme sobre la superficie del pistón, se calcula a partir de la siguiente expresion:

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

Donde:

[tex]F[/tex] - Fuerza motriz, medida en newtons.

[tex]A[/tex] - Área del pistón, medida en metros cuadrados.

La fuerza motriz es equivalente al peso del automóvil. El área del pistón ([tex]A[/tex]), medido en metros cuadrados, es determinado por:

[tex]A=\frac{\pi}{4}\cdot D^{2}[/tex]

Donde [tex]D[/tex] es el diámetro del pistón, medido en metros.

Si [tex]D = 0.32\,m[/tex] y [tex]F =17,640\,N[/tex], entonces la presión neumática es:

[tex]A = \frac{\pi}{4}\cdot (0.32\,m)^{2}[/tex]

[tex]A \approx 0.080\,m^{2}[/tex]

[tex]P = \frac{17,640\,N}{0.080\,m^{2}}[/tex]

[tex]P = 220,500\,Pa[/tex]

La presión neumática para levantar un automóvil de 17,640 newtons es 220,500 pascales.

Which of the following statements is/are true for ultrasonic test?a. Equipment used for ultrasonic testing is portableb. Complicated shapes can be easily scannedc. Waves generated are health hazardousd. All the above statements are true

Answers

Answer:

Equipment used for ultrasonic testing is portable

Explanation:

An ultrasonic tester is used to detect flaws such as cracks and leaks. Hence, an ultrasonic tester is an integral tool used in material testing and engineering, manufacturing quality control, equipment condition monitoring, building and bridge inspection and much more.

Ultrasonic testing can be performed on steel and other metals and alloys, though it can also be used on concrete, wood and composites, although with less resolution.

You are piloting a small airplane in which you want to reach a destination that is 750 km due north of your starting location. Once you are airborne, you find that (due to a strong but steady wind) to maintain a northerly course you must point the nose of the plane at an angle of 22 west of true north. From previous flights on this route in the absence of wind, you know that it takes you 3.14 h to make the journey. With the wind blowing, you find that it takes 4.32 h. A fellow pilot calls to ask you about the wind velocity (magnitude and direction). What is your report? FYI so you can check yourself the answers are 101 km/h at 62 degrees east of south.

Answers

Answer:

v_wind = 101.46 km / h   ,  θ = 61.8

Explanation:

This is a velocity composition exercise.

Let's do the problem in parts. Let's start by knowing the speed of the plane without air.

           v = d / t

           v = 750 / 3.14

           v = 238.85 km / h

This is the speed of the plane relative to the Earth and it does not change.

In the second part, when there is wind, the travel time is greater than when there is no wind, therefore the wind delays the plane. To be more general, suppose that the wind has two components vₓ and [tex]v_{y}[/tex]

Let's use trigonometry to find the components of the plane's speed

          cos θ = v_N / v

          sin θ  = v_W / v

          v_N = v cos θ

          v_W = v sin θ

           

let's calculate

          V _N = 238.85 cos 22 = 221.46 km / h

           v_W = -238.85 sin 22 = -89.47

the negative sign is because the plane is going west and the positive sign is the east direction.

As it indicates that the destination of the avine is towards the north, the x component of the wind must be

              vₓ - v_W = 0

              vₓ = v-w

              vₓ = 89.47 km / h

in the direction to the East.

Now let's analyze the component of the wind in the Nort-South direction,

Indicate the travel time, let's calculate the speed that the component must have the speed of the plane

             v_total = d / t

             v_total = 750 / 4.32

             v_total = 173.61 km / h

This is the final speed of the plane, which can be written

              v_total = v_n - vy

               vy = v_n - v_total

               vy = 221.46 - 173.61

               vy = 47.85 km

this component is directed towards the south

Let's use the Pythagorean Theorem, to find the magnitude

             v_wind² = vₓ² + vy²

             v_wind = √ (89.47² + 47.85²)

             v_wind = 101.46 km / h

the address will then be found using trigonometry

             θ = Vy / vx

             θ = tan⁻¹ (vy / vx)

             θ = tan⁻¹1 (47.85 / 89.47)

             θ = 28.14

Therefore, the magnitude of the wind speed is 101.5 km / h and its direction is 28º south of the East, to give this value

                  90- θtea = 90- 28.2

                  θ = 61.8

East of South

An agent has just listed a power plant. This is an example of what type of real estate?

Answers

Answer: industrial properties

Explanation:

The power plant listed by the agent falls under industrial property. An industria property is a property which is either used in manufacturing, rentage, warehousing, processing e.t.c.

in this case the plant Would be used in the generation of power which would be sold. so yes the property falls under the category

A 1000 kg elevator is accelerated upward at a rate of 0.70 m/s2. What is the tension in the cable pulling the elevator upward when it experiences this acceleration?

Answers

Answer:

[tex]\Huge \boxed{\mathrm{700 \ N}}[/tex]

Explanation:

Tension is the force exerted.

[tex]\sf Force \ (N) = mass \ (kg) \cdot acceleration \ (m/s^2)[/tex]

[tex]F=1000 \cdot 0.70[/tex]

[tex]F=700[/tex]

The tension in the cable is 700 N.

The tension of an body moving upward can be calculated from its weight and normal force. The tension in cable pulling with an acceleration of 0.7 m/s² is 10500 N.

What is tension?

Tension is kind of force actually made by pulling a moving body. Like the force exerted by a cable, chain, string or a rope etc.

When an object gains potential energy with a restoring force if existing , then the restoring force will create a tension force. It is a transmitted force and can be calculated from the normal force acting.

It is given that the mass of the elevator is 1000 Kg, then its weight is mass multiplied by gravity of 9.8 m/s². Thus weight of the elevator is 1000 × 9.8 m/s² = 9800 N

The normal force is F = ma is calculated from the mass and acceleration as follows:

F = ma

   = 1000 kg ×0.70 m/s²

   = 700 N.

The tension force is the sum of weight of he body and the normal force,

Thus T = w + ma

T = 9800 N + 700 N

   = 10500 N.

Therefore, tension in cable pulling with an acceleration of 0.7 m/s² is 10500 N.

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Light rays that are reflected twice inside a rain water droplet can produce a second-order rainbow. True False mim​

Answers

Answer:

Yes

Explanation:

The answer is true.

What is the value of the magnetic flux through the coil due to the wire with a current I passing through it

Answers

Answer:

Magnetic flux is zero

Explanation:

We know that

magnetic flux (B) =

magnetic field x area x cosစ

And စ being the angle between magnetic field and area vector

So we are given စ= 90°

So

B = magnetic field x area x cos(90)

B= 0

Katie rolls a toy car off the end of a table. Which path will the car follow when it leaves the table? A. B. C. D.

Answers

Answer:

parabolic path

Explanation:

As the cart reaches the end of the table with a horizontally directed velocity (only horizontal component), the cart will follow a parabolic path given by the combined action of:

(1) kinematic equation for motion under constant velocity in the horizontal direction (linear expression in terms of time), and

(2) kinematic equation for motion under constant acceleration (that of gravity) in the vertical direction (quadratic expression in terms of time)

Answer:

C.

Explanation:

Due to gravity and air resistance— its gonna make a curved path

How long would it take Exena to close the door if she doubled the magnitude of the force applied to the door

Answers

Answer:

  y /y₀ = 1 /√2 = 0.70

Explanation:

To close the door, a torque must be applied in such a way that there is an angular acceleration and after a period of time the angle of the door moves.

If the force is doubled keeping the other parameters without altering angular acceleration is

                 F r = I α

                 α = F r / I

if we double the force

           α = 2F r / I

            α=2 α₀

let's use the angular kinematics relations

            θ = w₀ t + ½ α t²

we assume the door was still before pushing it

            θ = ½ a t²

            t = √ (2θ / a)

as we saw the angular acceleration is double

            t = √ (2θ / 2a₀)

            t = 1 / √2  a₀

the relationship between the two times is

            y /y₀ = 1 /√2 = 0.70

This time that has been reduced closes the door.

Generator What does RPM stand for? What four things can you adjust to get the highest maximum voltage?

Answers

Answer:

revolution per minutes

Explanation:

increase number of turns on coil

increase speed

use of permanent magnet

increase in speed of object

RPM stands for revolution per minutes.

The four things you can adjust to get the highest maximum voltage are the number of turns of coil, the strength of the magnetic field, the area of the coil,  and the angular frequency of the coil.

RPM stands for revolution per minutes; which describes the number of turns made by the coil in a single minute.

The induced voltage in the generator coil is calculated as follows;

[tex]E_{max} = NBA \omega[/tex]

where;

N is the number of turnsB is the strength of the magnetic fieldA is the area of the coilω is the angular frequency

Thus, the four things you can adjust to get the highest maximum voltage are the number of turns of coil, the strength of the magnetic field, the area of the coil,  and the angular frequency of the coil.

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What is the approximate radius of a nitrogen nucleus that has seven protons and seven neutrons?

Answers

Answer:

3.5E-15m

Explanation:

Using

R= Ro A^ 1/3

Where Ro= 1.2fm

and A= 7

= 1.2*10^-15 x (7)^1/3

= 3.5*10^-15m

Other Questions
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