Two object accumulated a charge of 4.5 μC and another a charge of 2. 8 μC. These two objects are separated by a distance of 2.5 cm. Calculate the magnitude of the electric force between these two objects.

181 .24 N

4.53 N

1.81 x 1014 N

2.02 x 10-8 N

Answers

Answer 1

Answer:

We will use the Coulomb’s Law:

[tex]F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}[/tex]

[tex]\epsilon_0 = 8.85\times 10^{-12}[/tex]

[tex]F = \frac{1}{4 \times (3.14) \times (8.85\times 10^{-12})}\frac{4.5\times 10^{-6} \times 2.8 \times 10^{-6}}{(2.5\times 10^{-2})^2} = 181.24 N[/tex]

The answer is (a).

Answer 2

The magnitude of the electric force between the two objects is [tex]\( 2.02 \times 10^{-8} \, \text{N} \).[/tex]

To calculate the electric force between two charged objects, we use Coulomb's Law, which states that the force (F) between two point charges is directly proportional to the product of the magnitudes of the charges (q1 and q2) and inversely proportional to the square of the distance (r) between their centers. The formula is given by:

[tex]\[ F = k \frac{|q_1 \cdot q_2|}{r^2} \][/tex]

where  k is Coulomb's constant [tex](\( 8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2 \)).[/tex]

Given:

- \[tex]( q_1 = 4.5 \, \mu\text{C} = 4.5 \times 10^{-6} \, \text{C} \)[/tex]

- [tex]\( q_2 = 2.8 \, \mu\text{C} = 2.8 \times 10^{-6} \, \text{C} \)[/tex]

-[tex]\( r = 2.5 \, \text{cm} = 0.025 \, \text{m} \)[/tex]

Now, we can plug these values into Coulomb's Law:

[tex]\[ F = (8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2) \frac{(4.5 \times 10^{-6} \, \text{C}) \cdot (2.8 \times 10^{-6} \, \text{C})}{(0.025 \, \text{m})^2} \][/tex]

[tex]\[ F = (8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2) \frac{(1.26 \times 10^{-5} \, \text{C}^2)}{(6.25 \times 10^{-4} \, \text{m}^2)} \][/tex]

[tex]\[ F = (8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2) \cdot (2.016 \times 10^{-2} \, \text{C}^2/\text{m}^2) \][/tex]

[tex]\[ F = 1.8075 \times 10^{-2} \, \text{N} \][/tex]

[tex]\[ F = 2.016 \times 10^{-8} \, \text{N} \][/tex]

Rounding to the appropriate significant figures, we get:

[tex]\[ F = 2.02 \times 10^{-8} \, \text{N} \][/tex]

The complete question is :

Two object accumulated a charge of 4.5 μC and another a charge of 2. 8 μC. These two objects are separated by a distance of 2.5 cm. Calculate the magnitude of the electric force between these two objects.

(a) 181 .24 N

(b) 4.53 N

(c) 1.81 x 1014 N

(d) 2.02 x 10-8 N


Related Questions

please help in my question 11, than you​

Answers

The statement, which matches the scientists to their research in atomic theory is this: RUTHERFORD USED GOLD FOIL, THOMSON DISCOVERED ELECTRON. THUS THE CORRECT OPTION IS C.

Rutherford gold foil experiment was a landmark atomic experiment, which prove that every atom has a positive center that is called nucleus. With this experiment, Ernest Rutherford was able to establish the atomic nuclear theory.

J.J. Thomson was the scientist, who discovered the electron in 1897, when he was experimenting with the cathode ray. He was able to demonstrate that cathode ray was made up of negatively charged particles, which he called electrons.

What are the opposite ends of a magnet called? A. north and south terminals B. north and south poles C. magnetic fields D. magnetic forces

Answers

I think the answer is B.

Hope this helps.

Pretty sure b I hope this helps

~~~~~~MK

A science class did an investigation to see how many breaths it took for each student to blow up a balloon. Jason blew up his balloon with the fewest breaths. Which of these might explain why Jason took fewer breaths to blow up his balloon? A. Jason suffers from allergies. B. Jason has a cold. C. Jason is very short. D. Jason plays a lot of sports.

Answers

Since Jason plays a lot of sports (D), there's a good chance that he has developed a greater-than-average lung capacity.  This is a good thing.

Jason likely took fewer breaths to blow up his balloon because he plays a lot of sports, which can lead to a higher lung capacity. This is not a definite answer, as other factors outside of the given options could also influence lung capacity.

The most probable reason, among the options given, why Jason took fewer breaths to blow up his balloon is option D: Jason plays a lot of sports. People who regularly engage in sports and physical activity often develop powerful lungs and a higher lung capacity. This means they can hold more air in their lungs at any given time, so they would need fewer breaths to blow up a balloon compared to those with lesser lung capacity. Please note, though, that there may be other factors not listed in the options that could affect how many breaths it takes to blow up a balloon.

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Choose the ending that best completes the following sentence: If an object is traveling with a constant velocity… A. There are no forces on the object. B. There is no net force on the object. C. There are no forces parallel to the direction of motion. D. There are only forces parallel to the direction of motion

Answers

I think the answer is B...

If an object is traveling with a constant velocity, there is no net force on the object.

If an object is traveling with a constant velocity, it means the object is moving in a straight line with a constant speed. In this case, the correct ending for the sentence is B. There is no net force on the object. This is because an object moving with a constant velocity experiences balanced forces, where the forces in all directions cancel each other out. Therefore, the object continues to move with the same velocity.

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A heating element has a resistance of 180 Ω and draws a current of 1.60 A. What is its power?

Answers

its either 288Watts or 112.5 Watts

What is the primary outgoing radiation put off by the earth?

A. ultra-violet (UV)

B. visible light

C. infrared (IR)

D. all of the above
Please help ASAP!!! :(

Answers

C) Infrared.

Explanation

The wavelength of the "primary" (a.k.a. "peak") outgoing radiation from the earth depends on the surface temperature of the earth.

[tex]\displaystyle \lambda_\text{peak} = \frac{0.00289}{T}[/tex],

where

[tex]\lambda_\text{peak}[/tex] is the peak wavelength (in meters) of the outgoing radiation, and[tex]T[/tex] is the absolute temperature of the earth (the one in degrees Kelvins.)

The average temperature on the earth is around 15 °C (around 60 °F.)

Convert to degrees Kelvins:

[tex]T = 15\;\textdegree\text{C} = (15 + 273.15)\;\text{K} = 288.15\;\text{K}[/tex].

Peak wavelength:

[tex]\displaystyle \lambda_\text{peak} = \frac{0.00289}{288.15} = 1.00\times 10^{-5} \;\text{m} = 1000\;\text{nm}[/tex].

What kind of electromagnetic radiation is that? Refer to a chart of the EM spectrum.

Radiations:

[tex]\lambda < 400\;\text{nm}[/tex]: ultra-violet (UV) or radiations that are more energetic than UV;[tex]400\;\text{nm}<\lambda<700\;\text{nm}[/tex]: visible light;[tex]\lambda > 700\;\text{nm}[/tex]: infrared (IR) and less energetic radiations.

[tex]\lambda \approx 1000\;\text{nm}[/tex] is longer than the wavelength of visible light. The radiation is infrared (IR.)

The answer is C. If you need any help let me know. :)

Which is the temperature at which a solid changes into a liquid?

Answers

ice takes about 32°F and iron takes eh maybe 2,797°F  

could you please help,my question 8 -9 and please show your work​

Answers

8. Picture B

Explanation:

There are 3 states of matter:

- Solid: in solids, atoms/molecules are bond together, so they are not free to move, they can just vibrate around their fixed positions. In solids, atoms/molecules are close and packed with each other

- Liquid: in liquids, atoms/molecules can move past each other, however there are still intermolecular forces that keep them close to each other

- Gas: in gases, atoms/molecules are totally free to move far from each other

In this case, atoms in the gas of a neon sign are represented by picture B, since there the atoms are very far from each other and free to move.

9. Picture C.

Explanation:

the picture that best represents a rock is picture C: in fact, we see that in picture C atoms are packed and close to each other, since it is a solid and atoms are bond to each other. So, picture C represents a solid, therefore it is the picture that best represents a rock.

Elmer learns the following facts about the sky in science class: The sky is blue because of the way the air scatters light from the Sun. The colors at sunset are partly due to the fact that the sun is shining through a much thicker layer of air. Adding a small amount of milk to water can cause the water to scatter light. Elmer decides to use a model to see if he can recreate some of the colors of a sunset. What should he use in his model?

Answers

milk and water to scatter light

Answer:

an aquarium for the atmosphere and a lamp for the sun

Explanation:

study island

Chapter 11, reorganization, permits debtors to A. keep their homes. B. receive an immediate discharge of debts. C. stay in business. D. re-obtain a previously repossessed car.

Answers

it's C) stay in business

Answer:

The answer is C

Explanation:

Reorganization, permits debtors to stay in business.

What type of composition does the volcano descabezado grande have (mafic, intermediate, felsic)?
Plase help ASAP

Answers

mafic or intermediate

Descabezado Grande is a composite volcano primarily composed of intermediate andesite lava.

The volcano Descabezado Grande is characterized by a composite of various eruption styles, including low viscosity mafic magma and higher viscosity felsic lava, but it is most commonly composed of intermediate andesite lava. This composition places it within the category of composite volcanoes, also known as stratovolcanoes, which feature steep sides and are made of alternating layers of pyroclastic materials and lava flows. The composition of the magma is crucial for determining the volcano's eruptive behavior and landform shape, with intermediate magmas having properties that are in between those of mafic and felsic magmas. Descabezado Grande's magma, being primarily intermediate, indicates a mix of characteristics that contribute to its explosive eruption style and the formation of steep slopes.

What the original source of the energy that transfers through the food web to a meat eating animals such as a cat

Answers

The sun is the original source of energy

because the plants feed from the sun and the animals eat the plants and then the animals eat the plant eating animals.

The original source of energy in a food web is the sun, captured by producers via photosynthesis and passed through the food chain to carnivores like cats, with energy loss in the form of heat at each step.

The original source of energy that transfers through a food web to meat-eating animals such as a cat is the sun. Energy from the sun is captured by producers, like plants, through photosynthesis, where it is converted into carbohydrate molecules. Herbivores, or plant-eating animals, consume the plants and absorb the stored energy. When carnivores, such as cats, prey on these herbivores, they receive the energy that originated from the photosynthetic plants. Eventually, decomposers participate in breaking down dead organisms and contribute to the nutrient cycle. Throughout this energy transfer process, some energy is inevitably lost as heat.

To make the next delivery, Sam-I-Am goes 45 mi/h for 2 hours. How far did he travel in that time?

Answers

Hello =D

This problem is about cinematic

So

V = 45 mi/h

t = 2 h

Then

V= X/t

X = V*t

Then

X = (45)*(2)

X = 90 mi

Best regards

Which of the following is supportive evidence of the big bang theory? pulsars the different shapes of galaxies cosmic microwave background radiation galactic clusters

Answers

Cosmic microwave background radiation

Cosmic microwave background radiation

The parts of the body that are related to the movement of blood

Answers

The heart and the circulatory system

Given the diagram below determine the net force acting on the object

Answers

A) 0

because all of the forces cancel out, so it is not moving with balanced forces.

Answer:

0 Newtons

Explanation:

As you can see in the image all of the forces that are contrary or opposite to one another have the same magnitude, that makes them cancel out, in order for an object to move the force applied most be greater than the force that is setting it at rest, usually the friction, unless one of this forces si greater than the other the object won´t move, so the net force acting on the object will be 0,

What does it mean if an experiment is replicable? Why is it important that experiments be replicable? (Site 1)




Answers

If an experiment is replicsble it means that anybody can repeat the experiment and get the same results. It is important that experiments be replicable because if someone else can't repeat what you did, you might have made a mistake. Peer review is what scientists use.

hope this helps

Final answer:

A replicable experiment can be repeated under the same conditions to provide similar results. This is crucial in the scientific method as it ensures reliability of results, allows for verification of the findings, and helps weed out false claims. The inability to replicate an experiment often leads to questioning the credibility of the initial study.

Explanation:

When an experiment is replicable, it means the experiment can be repeated by others under the same conditions and produce the same or very similar results. This ability to reproduce results is one of the essential features of the scientific method, which is used in various fields of academic research, including physics, chemistry, biology, and psychology.

Replicability is essential for several reasons. First, it ensures the reliability of results. Results that are repeated in independent replications are considered more reliable because they have been tested and verified multiple times. Second, replication allows other researchers to check for any mistakes in the original study. Third, successful replications of research provide more evidence to support the original findings, leading to a wider acceptance of the results within the scientific community.

Conversely, if subsequent studies cannot replicate the findings, it may call the credibility of the original research into question.

Through this rigorous process of repeated testing, scientific knowledge advances as false claims are weeded out and factual information is reinforced.

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 Shield volcanoes usually have a_____________ shape, _________slope, and a _____________composition.
Please help ASAP!!! :(

Answers

Shield volcanoes are typically tall and broad, with flat, rounded shapes. They typically have a 5°-10° slope, and are typically made by lava flowing at a low viscosity (lava flowing easily), and their broad profile is typically built with flow after flow of relatively basaltic lava issuing from vents or fissures on the surface.

I hope this helps, I got a bit confused on the composition part as well.

Shield volcanoes usually have a broad shape, gentle slope and a basaltic composition.

How to defines the shape of shield volcanoes?

Shield volcanoes are very known for their expansive and gently sloping profiles which are predominantly composed of basaltic lava. Their distinctive form arises from the eruption of low-viscosity magma which flows easily across the landscape.

These volcanic giants do stretch across tens of kilometers in diameter, with their broad and shield-like appearance earning them their name. The effusive nature of their eruptions characterized by the steady release of lava, contributes to their gradual slopes.

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Which of the following is an example of plasma?

Answers

Answer:

Tails of comets, The ionosphere, A neon sign

Explanation:

Edu 2020

Which statements accurately describe stars? Check all that apply. All stars are smaller than the Sun. Stars are flat circles. Stars are made of gas. Star color is related to temperature. Star brightness depends on shape.

Answers

Stars are made of gas, and star color is related to temperature. Hope this helps and have a good day. :)

Answer:

3.Stars are made of gas.

4.Star color is related to temperature.

Explanation:

Answer plz also give reason

Answers

See this suggested solution.

1. Let a force F' is the vector sum of the forces P and Q, then it is shown on the attached picture and marked with red color.

2. according to the condition the force F holds the object, then F should have the same length as the force F' and the opposite direction.

3. using the conditions described in 2. the answer is C.

By what factor will the electric force between two charged objects change if the charge on one object is quadrupled?
a. 1/4
b. 4
c. 8
d. 16

Answers

Answer:

b. 4

Explanation:

The electric force between two charged objects is given by:

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where

k is the Coulomb's constant

q1 and q2 are the charges of the two objects

r is the separation between the two objects

In this problem, we have that the charge of one object is quadrupled:

[tex]q_1'=4q_1[/tex]

while all the rest remain unchanged. So the new electric force between the two objects is

[tex]F'=k\frac{q_1' q_2}{r^2}=k\frac{(4q_1) q_2}{r^2}=4 k\frac{q_1 q_2}{r^2}=4F[/tex]

So, the force will quadruple as well.

Answer:

B

Explanation:

What is the total energy of all the particles in a substance?

Answers

The faster the particles are moving, the more energy they have. Temperature is the average amount of energy of motion of each particle of a substance. That is, temperature is a measure of how hot or cold a substance is. In contrast, the total energy of motion in the particles of a substance is called thermal energy.

Final answer:

The total energy of all the particles in a substance is called the internal energy (U) or symbolized as E. It is the sum of the kinetic energies and potential energies of the system's constituent particles.

Explanation:

The total energy of all the particles within a substance is referred to as the internal energy, often denoted as U or E. This internal energy encompasses both kinetic and potential energy, and it plays a crucial role in understanding the behavior and properties of substances.

1. Kinetic Energy: This component of internal energy is attributed to the motion of the particles within the substance. It includes various forms of motion, such as translational (linear motion), vibrational (vibrational motion of atoms or molecules within a structure), and rotational (rotational motion of molecules). The kinetic energy is directly related to the temperature of the substance, as an increase in temperature leads to higher kinetic energy of the particles.

2. Potential Energy: The potential energy component arises from the relative positions of particles within the substance, their interactions, and the conditions of the system. This can encompass various forms of potential energy, such as chemical potential energy (related to chemical bonds and reactions) and intermolecular potential energy (associated with attractive and repulsive forces between particles). Changes in potential energy can result from changes in the arrangement or composition of particles.

Together, these components contribute to the overall internal energy of the system, influencing its thermodynamic properties and behavior. Understanding the interplay between kinetic and potential energy is fundamental in fields like thermodynamics and chemistry, as it helps elucidate the physical and chemical transformations of substances.

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which of the following combination is not feasible to be in equilibrium :

A. 10,10,10. C. 10,5,17
B. 5,10,12 D. 5,12,13



Also give explanation

Answers

Answer: a

Explanation:

The following combination is not feasible to be in equilibrium : 10,10,10

The correct option is A.

What is equilibrium?

A state in which opposing forces or influences are balanced is called equilibrium.

The addition of two smaller forces must be greater than the third force in case of three forces to be in equilibrium.

For A: 10 + 10 >10 or 20 > 10

For B: 10 +5 <17 or 15 <17

For C: 5 +10 > 12 or 15 >12

For D: 5 +12 >13 or 17 >13

So, the gap between the magnitude of balancing forces is very high in (10,10,10).

Thus, the correct option is A.

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Homeostasis may assist in balancing all of the following drives except __________. A. hunger
B. activity
C. sleep
D. approval

THE ANSWER IS D

Answers

Answer:

D~

Explanation:

Answer:

i mean, the answers in the question lol, its D

Explanation:

I just  took the test

please somebody help my Q 10​

Answers

Answer:

The pressure of the gas will be increased to 450 kilo pascals.

Explanation:

Since the temperature is kept constant, the volume and pressure will be related by Boyle's Law.

According to the Boyle's Law, the product of pressure and volume of a gas remains constant provided that the temperature remains constant.

Mathematically this cab be expressed as:

[tex]P1V1 = P2V2[/tex]

Using the given values,

P1 = 300 kilo pascals

V1 =75 L

P2 = ?

V2 = 50 L

[tex]300 \times 75 = 50 \times P2\\ \\P2 = \frac{300 \times 75}{50}\\\\ P2= 450[/tex]

This means the pressure of the gas will be increased to 450 kilo pascals.

Gravitational potential energy depends on what two things?

Answers

Answer is mass (m), and the acceleration caused by gravity (g). The height of the object also changes your answer. PE stands for potential energy. The formula for gravitational potential energy is PEg=mgh

okay ok okokokokokokokokokok

Which statements accurately describe stars? Check all that apply. All stars are smaller than the Sun. Stars are flat circles. Stars are made of gas. Star color is related to temperature. Star brightness depends on shape.

Answers

Some stars are smaller than our sun.

Stars are not flat circles.

Stars ARE made of gas.

Star color IS related to temperature.

The shape of the star does not effect it's brightness.  Only the size.

Size and temperature effects a stars brightness so.

3, and 4

Have a good day

The statements accurately describe stars are stars are made of gas and star color is related to temperature.

What is star?

Stars are the small shiny part of the universe. They are billions in number. They collectively form the galaxies along with gases and dust.

Only some stars have size smaller than the Sun. Stars are spherical but not flat circles.

Stars are majorly made of gas. Star color depends on the temperature.

The shape of the star does not effect the brightness. The size and temperature effects a stars brightness.

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Please match symbol to its device?​

Answers

1 is a cell (c)

2 is a battery (A)

3 is a switch (D)

4 is a voltmeter (B)

5 is an ammeter(F)

6 is a resistor. ( I don't see it listed. Try G if you have it.)

7 is a lamp. (E)

Which describes how chemical changes are different from physical changes? (1 point) Chemical changes can be measured, but physical changes cannot. Chemical changes involve the formation of a new substance. Chemical changes release energy, but physical changes absorb energy. Chemical changes cannot be caused by oxygen.

Answers

1) A chemical change is used by scientists to create new substances, and a physical change happens naturally. A chemical change results in a new substance being formed; whereas, a physical change will result in a different state of matter.

Answer:

Chemical changes involve the formation of a new substance.

Explanation:

The main difference between chemical and physical changes is the fact that chemical changes involve the formation of a new substance. When a physical change occurs, this does not lead to bonds being broken or formed. The properties of the elements involve do not change. This includes changes such as changes of state. On the other hand, a chemical change is one in which bonds are broken or formed. Therefore, the elements that are present are turned into a new substance.

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