1. Two point charges, q1 and q2, are located 5 cm apart. The magnitude of q1 is 3 μC and the magnitude of q2 is -5 μC. What is the force between these charges, according to Coulomb's law?

Answers

Answer 1

The force between these charges, according to Coulomb's law would be -54 N.

We can solve this problem applying "Coulomb's Law" which states-

[tex]\qquad\:\sf \underline{F_{(air)} = K\times \dfrac{ q_1 q_2}{r^2}} \\ [/tex]

[tex] \qquad\sf\underline{F_{(air)} = \dfrac{1}{4\pi \epsilon_{0} } \dfrac{q_1q_2}{r^2} }\\ [/tex]

Where-

q₁ and q₂ are the two cahrges.r is the distance between the charges.[tex]\sf \epsilon_{0} [/tex] is the permittivity of free space.K is the Coulomb's Constant.k = 9×10⁹ Nm²/C²

According to the given parameters -

Magnitude of q₁= 3 μCMagnitude of q₂= -5 μCDistance,r = 5cm

Now that required values are given, so we can plug the values into the formula and solve for Force -

[tex]\qquad\qquad \:\sf\underline{Force = \dfrac{1}{4\pi \epsilon_{0} } \dfrac{q_1q_2}{r^2} }\\ [/tex]

[tex] \longrightarrow \sf Force = 9\times 10^9 \times \dfrac{ 3\times 10^{-6}\times -5 \times 10^{-6}}{\bigg(5\times 10^{-2}\bigg)^2}\\ [/tex]

[tex] \longrightarrow \sf Force = -\dfrac{9\times 5\times 3\times 10^{9} \times 10^{-12}}{25\times 10^{-4}}\\ [/tex]

[tex] \qquad\longrightarrow \sf Force =- \dfrac{135 \times 10^{9-12+4}}{25}\\ [/tex]

[tex] \qquad\longrightarrow \sf Force = - \dfrac{\cancel{135}}{\cancel{25}}\times 10\\ [/tex]

[tex] \qquad\longrightarrow \sf Force = -5.4 \times 10\\ [/tex]

[tex] \qquad\qquad\longrightarrow \sf \underline{Force = \boxed{\sf{-54 N}}} \\ [/tex]

Henceforth, The force between these charges, according to Coulomb's law would be -54 N.

Related Questions

As clothing tumble in a dryer, they can become charged. If a small piece of lint with a charge of +1.62 E−19 C is attracted to the clothing by a force of 2.0 E−9 N, what is the magnitude of the electric field at this location?

0.38 E10 N/C
1.2 E10 N/C
3.2 E10 N/C
3.6 E10 N/C

Answers

Answer:

option (b) 1.2E10 N/C.

Explanation:

The electric field (E) can be calculated using the formula:

E = F/q

where F is the force on the lint, and q is the charge on the lint.

Substituting the given values, we get:

E = (2.0E-9 N) / (1.62E-19 C)

E ≈ 1.23E10 N/C

Therefore, the magnitude of the electric field at the location is approximately 1.23 x 10^10 N/C, which is closest to option (b) 1.2E10 N/C.

a physical science student is studying ohms law and builds a circuit the supplies voltage is 210v how much resistance will the student need in order to have an amperage of 7.0 A

Answers

Ohm's law states that the voltage (V) over a resistor is break even with to the item of the current (I) streaming through it and its resistance (R), or V = I*R.

How much resistance will the student need in order to have an amperage of 7.0 A?

To discover the resistance required to have an amperage of 7.0 A with a voltage supply of 210 V, able to improve the condition to unravel for R:

R = V/I

Stopping within the values we know:

R = 210 V / 7.0 A

R = 30 ohms

Subsequently, the understudy will require a resistance of 30 ohms to attain an amperage of 7.0 A with a voltage supply of 210 V.

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A student is asked to move a box from ground level to the top of a loading dock platform, as shown in the
figures above. In Figure 1, the student pushes the box up an incline with negligible friction. In Figure 2, the
student lifts the box straight up from ground level to the loading dock platform. In which case does the student
do more work on the box, and why?

Answers

The student does the same amount of work in both cases, as the displacement and force applied are the same.

The understudy does likewise measure of work in the two cases, ignoring any energy misfortunes because of contact or different elements. This is on the grounds that work is characterized as the result of the power applied and the removal of the item toward the power. In the two cases, the removal of the crate is something similar (the upward separation from ground level to the shipping bay stage) and the power applied by the understudy is the heaviness of the container, which is likewise something similar. Thusly, the work done by the understudy in the two cases is something similar.

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Consider a system consisting of a block of mass m attached to a spring with spring constant k, sliding on a frictionless surface. If the block is displaced from its equilibrium position by a distance x and then released, what is the period of its motion?​

Answers

If the block is displaced from its equilibrium position by a distance x, the period of its motion is T = 2π/ω = 2π√(m/k).

What is the period of motion of the block?

The period of motion of a block under simple harmonic motion is given as;

T = 2π√(m/k)

Where;

T is the periodm is the mass of the blockk is the spring constant

When the block is displaced from its equilibrium position by a distance x,  the force acting on it is given as;

F = -kx

where;

x is displacement

We also know that angular velocity is given as;

ω = √(k/m)

So the equation for the period can also be;

T = 2π/ω = 2π√(m/k)

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The Mars Rover Curiosity has a mass of 900 kg. Taking the gravitational field strength to be 9.8 N/kg
on Earth and 3.7 N/kg on Mars, give the value of the weight of the Rover on earth and mars

Answers

The weight of the Mars Rover Curiosity on Earth and on Mars is 8820 N and 3330 N respectively.

Weight of objects on Earth and on Mars

The weight of an object is given by the product of its mass and the gravitational field strength at its location.

On Earth:

Weight = mass x gravitational field strengthWeight = 900 kg x 9.8 N/kgWeight = 8820 N

On Mars:

Weight = mass x gravitational field strengthWeight = 900 kg x 3.7 N/kgWeight = 3330 N

Therefore, the weight of the Mars Rover Curiosity on Earth and on Mars are 8820 N and 3330 N respectively.

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Analyze the data on the plot below. Determine the speed of the hawksbill sea turtle during each interval listed below.

HELP PLEASE!!!

Answers

Answer:

Day 0 to day 2: 5km/day

Day 2 to day 3: 2km/day

Explanation:

Day 0 to day 2: 10/2 = 5

Day 2 to day 3: 12 - 10 = 2

To Calculate:

The x-axis, or the days from 0 to 6, line up with the y-axis, or the distance from 0 to 24.  The point in the graph means that on that day, the turtle traveled that much distance.  For example, on the third point (2, 10), the day is 2 and the distance is 10.  To find the distance over multiple days, catalog the days in your mind and look for the points.  Then, find the difference.  For example, from day 2 (2, 10) to day 5 (5, 18), this would look like: 5 - 2 = 3, and 18 - 10 = 8, so this means that over 3 days, the turtle traveled 8 km.

Edible oil (specific gravity 5 0.83) flows through a venturi meter with a range of flow rates from 0.002 to 0.02 m3 /s. Calculate the range in pressure differences required to measure these flow rates. Pipe diameter is 15 cm and diameter of the venturi throat is 5 cm

Answers

The range in pressure differences required to measure the flow rates of 0.002 and 0.02 m^3/s is approximately 2,710.62 Pa.

The pressure difference across a venturi meter is given by the Bernoulli's equation, which states that the sum of the pressure, kinetic energy and potential energy at any two points in a fluid flow system is constant.

Assuming the flow is incompressible and there is no energy loss due to friction or heat transfer, the equation can be expressed as:

[tex]P1 + 1/2 * rho * V1^2 + rho * g * h1 = P2 + 1/2 * rho * V2^2 + rho * g * h2[/tex]

where,

P1 and P2 are the pressures at the inlet and throat of the venturi meter, respectively,

rho is the density of the fluid,

V1 and V2 are the velocities at the inlet and throat,

h1 and h2 are the elevations of the inlet and throat,

and g is the acceleration due to gravity.

Assuming that the elevations of the inlet and throat are the same,

h1 = h2, and the velocity at the inlet is negligible compared to the velocity at the throat, V1 ≈ 0, the Bernoulli's equation simplifies to:

[tex]P1 - P2 = 1/2 * rho * (V2^2 - V1^2)[/tex]

Using the continuity equation, which states that the mass flow rate is constant in a fluid flow system, the velocity at the throat can be calculated as:

[tex]A1 * V1 = A2 * V2[/tex]

where A1 and A2 are the cross-sectional areas of the pipe at the inlet and throat, respectively.

The cross-sectional areas of the pipe and throat are:

[tex]A1 = pi * (15/2)^2 = 176.71 cm^2\\A2 = pi * (5/2)^2 = 19.63 cm^2[/tex]

Using the specific gravity of the oil, we can calculate its density as:

rho = specific gravity * density of water

      = [tex]0.83 * 1000 kg/m^3[/tex]

      = [tex]830 kg/m^3[/tex]

Therefore, the range in pressure differences required to measure the flow rates of 0.002 and 0.02 [tex]m^3/s[/tex] is:

For the maximum flow rate of 0.02 [tex]m^3/s[/tex]:

[tex]V2 = (A1/A2) * V1 \\= (176.71/19.63) * 0.02 / (100/1) \\= 1.8112 m/s\\\\P1 - P2 = 1/2 * rho * (V2^2 - V1^2) \\= 1/2 * 830 * (1.8112^2 - 0) \\= 2,738 Pa[/tex]

For the minimum flow rate of 0.002 [tex]m^3/s[/tex]:

[tex]V2 = (A1/A2) * V1 \\= (176.71/19.63) * 0.002 / (100/1) \\= 0.18112 m/s\\\\P1 - P2 = 1/2 * rho * (V2^2 - V1^2) \\= 1/2 * 830 * (0.18112^2 - 0)\\ = 27.38 Pa[/tex]

Therefore, the range in pressure differences required to measure the flow rates of 0.002 and 0.02 m^3/s is approximately:

[tex]2,738 Pa - 27.38 Pa = 2,710.62 Pa.[/tex]

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Which of the following is NOT a suggestion for relapse prevention?
OA. Make sure the exercise program is easy so that you are not
challenged.
O B. Tell your family and friends about your progress with exercising.
C. Determine ways to overcome barriers.
D. Take injury prevention precautions.
SUBMIT

Answers

Make sure the exercise program is easy so that you are not challenged is NOT a suggestion for relapse prevention.  The correct option is A

What is relapse prevention ?

Relapse prevention is a technique used to support people in maintaining long-term behavioral change and stop them from reverting to previous unhealthy practices.

Relapse prevention can take many different forms including :

Recognizing high-risk situations Learning coping mechanisms Practicing regular self-observation Self-reflection

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a. If the frequency of light is increased above the threshold frequency, the
energy of the electrons emitted will _________________.
b. If the frequency of light is decreased to below the threshold frequency, the
rate at which electrons are emitted will _______________.
c. If the intensity of light is decreased, the energy of the electrons emitted will ____________________.
d. If the intensity of light is decreased, the rate at which electrons are emitted will ________________.

Answers

a. If the frequency of light is increased above the threshold frequency, the energy of the electrons emitted will increase.
b. If the frequency of light is decreased to below the threshold frequency, the rate at which electrons are emitted will decrease.
c. If the intensity of light is decreased, the energy of the electrons emitted will remain the same.
d. If the intensity of light is decreased, the rate at which electrons are emitted will decrease.

Answer:

a. If the frequency of light is increased above the threshold frequency, the energy of the electrons emitted will increase.

b. If the frequency of light is decreased to below the threshold frequency, the rate at which electrons are emitted will decrease.

c. If the intensity of light is decreased, the energy of the electrons emitted will remain the same, but fewer electrons will be emitted.

d. If the intensity of light is decreased, the rate at which electrons are emitted will decrease.

mention any two points to in established the importance of Physics​.

Answers

Here are two points that establish the importance of Physics:

1. Understanding the natural world: Physics is the branch of science that helps us understand the natural world. By studying the laws of physics, we can understand the behavior of the universe, from the smallest subatomic particles to the largest structures in the cosmos. Physics provides us with a framework for understanding how the world around us works, from the motion of objects to the behavior of light and other forms of energy.

2. Advancing technology and innovation: Physics has been instrumental in advancing technology and driving innovation in many fields. From the development of electricity and electronics to the creation of the internet and advanced materials, physics has provided the fundamental knowledge and tools needed to create many of the technologies that we rely on today. Many of the most important technological advancements of the past century have been based on our understanding of physics, and continued research in this field will likely lead to many more exciting discoveries and innovations in the future.

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in a typical cop movie we see the hero pulling a gun firing that gun straight up into the air and shouting

Answers

Firing a gun straight up into the air can be dangerous because the bullet, when it falls back to Earth, can reach a high enough velocity to cause injury or even death.

When a bullet is fired straight up into the air, it will eventually reach the highest point of its trajectory and begin to fall back down due to gravity. As it falls, it gains speed and momentum, which can cause it to reach a lethal velocity when it impacts a person or object on the ground. This phenomenon is known as "celebratory gunfire," and it can cause serious harm to people who are hit by falling bullets. Therefore, firing a gun straight up into the air is never a safe or responsible act.

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--The complete question is, What is the scientific explanation for why firing a gun straight up into the air can be dangerous, despite the fact that the bullet will eventually fall back down to Earth?--

Which is an unnecessary rule for writing chemical formulas?

Answers

While the use of parentheses to indicate the number of a particular group of atoms in a compound can be helpful, it is not strictly necessary for writing a correct chemical formula.

There are several rules that should be followed when writing chemical formulas, but one of the unnecessary rules is the use of parentheses to indicate the number of a particular group of atoms in a compound. For example, the formula for magnesium carbonate can be written as MgCO₃ or as Mg(CO₃)₂, where the parentheses indicate that there are two carbonate ions present.

While the use of parentheses can make it clearer which group of atoms is being referred to, it is not necessary for writing a correct chemical formula. The number of each type of atom in the compound can be determined from the compound's name or from knowledge of the properties of the elements involved.

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in a typical cop movie we see the hero pulling a gun firing that gun straight up into the air and shouting

Answers

It is not recommended to fire a gun straight up into the air.

When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.

Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.

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the temperature of an ideal gas in a sealed 0.60m^3 container is reduced from 440 k to 270 k. the final pressure did the gas is 40kpa. the molar heat capacity at constant volume of the gas is 28.0j/mol•k. what is the work done by the gas?

Answers

The answer to this question is a

The spring shown in the Figure below is compressed 50 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student’s coefficient of kinetic friction on the 30◦ incline is 0.15. (a) What is the student’s speed just after losing contact with the spring?
(b) What is the student’s speed immediately before moving up the 30◦ incline?
(c) How far up the incline does the student go?

Answers

part a.

The student’s speed just after losing contact with the spring  is 14.14 m/s

part b.

The students can go up to 32.06cm

What is speed?

Speed is described as one such measurable quantity that measures the ratio of the distance travelled by an object to the time required to travel that distance.

Given values:

The spring shown below is compressed = 50 cmand is used to launch a  100kg  physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the 30° incline =  0.15

We apply the conservation of energy, energy in the compressed string:

1/2 mv2 = 1/2 kx²v²

which will be [tex]\sqrt{kxv}/m[/tex]

substituting we have the value as 14.14 m/s

part b.

then conservation of energy equation will become:

1/2 kx² + mgh

substituting we have the value as 32.06cm

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.

Please help! Not sure what the answer is for both questions shown

Answers

The electric potential energy of charge 2q is  2kq/d.

The total electric potential energy of the system is k/d(5q).

What is the contribution of charge 2q?

The contribution of charge 2q to the electric potential energy of the system is calculated as follows;

U = kq/r²

where;

k is coulomb's constantq is the magnitude of the charger is the position of the charge

The electric potential energy of charge 2q is calculated as follows;

U_2q = (k x 2q)/d

where;

d is the position of the charge

Simplify further and we will have;

U_2q = 2kq/d

The total electric potential energy of the system is calculated as;

U_tot = k/d (2q + q - 3q + 5q)

U_tot = k/d(5q)

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Great Company manufactures and sells a product whose peak sales occur in the third quarter. Management is now preparing detailed budgets for 20x4- the coming year and has assembled the following information to assist in the budget preparation: The company’s product selling price is Br. 20 per unit. The marketing department has estimated sales in units as follows for the next six quarters.

Answers

Answer:

Explanation:

Quarter 1 - 10,000 units

Quarter 2 - 12,000 units

Quarter 3 - 16,000 units

Quarter 4 - 14,000 units

Quarter 5 - 10,000 units

Quarter 6 - 8,000 units

Based on this information, the total estimated sales revenue for the next six quarters is Br. 480,000.

Can anyone please help me solve this question?

An electric dipole consists of two point charges, +3.0 µC and -3.0 µC, separated by a distance of 8.0 mm. The dipole is located along the x-axis, with the positive charge at the origin and the negative charge at x = 8.0 mm. Calculate the electric potential and electric field at a point on the y-axis, located 10.0 mm away from the origin.

Answers

The electric field at the y-axis position is -10.0 N/C and is oriented towards the negative charge and electric potential at the point on the y-axis is -0.5 V..

How to determine electric potential and electric field?

To calculate the electric potential and electric field at the point on the y-axis, use equations for electric potential and electric field due to an electric dipole:

Electric potential V = kq/(r_+) - kq/(r_-)

Electric field E = kq/(r_+)² - kq/(r_-)²

where k = Coulomb constant,

q = charge of each point charge,

r_+ = distance from the positive charge to the point on the y-axis, and

r_- = distance from the negative charge to the same point on the y-axis.

Using the given values:

r_+ = √((0.01 m)² + (0.1 m)²) = 0.1005 m

r_- = √((0.008 m)² + (0.1 m)²) = 0.1002 m

q = 3.0 μC

Electric potential:

V = (9.0 x 10⁹ N·m²/C²)(3.0 x 10⁻⁶ C)/(0.1005 m) - (9.0 x 10⁹ N·m²/C²)(3.0 x 10⁻⁶ C)/(0.1002 m)

V = 215.6 V - 216.1 V

V = -0.5 V

The electric potential at the point on the y-axis is -0.5 V.

Electric field:

E = (9.0 x 10⁹ N·m²/C²)(3.0 x 10⁻⁶ C)/(0.1005 m)² - (9.0 x 10⁹ N·m²/C²)(3.0 x 10⁶ C)/(0.1002 m)²

E = 2705.6 N/C - 2715.6 N/C

E = -10.0 N/C

The electric field at the point on the y-axis is -10.0 N/C, directed towards the negative charge.

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1. Young's Double Slit Experiment with light proved that light was a wave from a reflection.
a. True
b. False

2. Sound waves speed up as they go farther down in the ocean because of multiple factors such as the ocean's waves' wavelengths being longer, pressure increasing, and salinity.
a. True
b. False

Answers

1. Young's Double Slit Experiment with light proved that light was a wave from a reflection. FALSE

2. Sound waves speed up as they go farther down in the ocean because of multiple factors such as the ocean's waves' wavelengths being longer, pressure increasing, and salinity. TRUE.

What is reflection of light?

The reflection of the light occurs when light hits a hard surface and falls back.

The Young's Double Slit Experiment with light did not prove that light was a wave from a reflection.

For question, 2;  

Sound waves speed up as they go farther down in the ocean because of multiple factors such as the ocean's waves' wavelengths being longer, pressure increasing, and salinity.

The above statement is true, as speed of a wave increases with increase in its wavelength.

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Name THREE factors which may prevent accessibility to printed media.​

Answers

Answer:

1. Visual Impairment: People with visual impairments, including blindness, may find it difficult or impossible to access printed media. This can be due to the small size of text, lack of contrast between the text and background, or other formatting issues that make it difficult to read.

2. Physical Disability: Individuals with physical disabilities that affect their mobility, such as paralysis or tremors, may find it difficult to hold and manipulate printed media, such as books or magazines.

3. Literacy Levels: People who struggle with literacy or have limited reading skills may find it difficult to access printed media. This can be due to the complexity of the language used, or the lack of materials available in their native language.

Approximately 20.0gm of milk at 6.0oC is added into a cup containing 270.0 gm of weak tea. The specific heat of weak tea is 3.91 x 103J kg-1 oC-1 and the final temperature of the milk - tea mixture is 85.0oC. Given the initial temperature of the weak tea is 90.0oC, what is the specific heat of milk?

Answers

Answer:

4161 J/kg·°C

Explanation:

We can use the principle of conservation of energy to solve this problem, which states that the total heat energy in a closed system is constant. The heat lost by the tea is equal to the heat gained by the milk.

Let's first calculate the heat lost by the tea:

Q(tea) = mcΔT

Q(tea) = (0.27 kg)(3910 J/kg·°C)(90.0°C - 85.0°C)

Q(tea) = 6555 J

where m is the mass of tea, c is the specific heat of tea, and ΔT is the change in temperature.

Next, let's calculate the heat gained by the milk:

Q(milk) = mcΔT

Q(milk) = (0.02 kg)(c)(85.0°C - 6.0°C)

Now we can equate the two expressions:

Q(tea) = Q(milk)

6555 J = (0.02 kg)(c)(79.0°C)

Solving for c, we get:

c = 4161 J/kg·°C

Therefore, the specific heat of milk is approximately 4161 J/kg·°C.

8. All nuclear power plants have backup generators in case the plant stops producing electricity. Why is this necessary? What exactly are the generators providing power for? What might happen if these backup generators fail?

Answers

Nuclear power plants have backup generators to ensure that essential equipment, such as cooling systems, can continue to function in the event of a power outage or other emergency.

Nuclear power plants rely on a constant supply of electricity to operate the equipment that controls the nuclear reaction and cools the reactor. If the power supply is interrupted, the reactor can overheat and damage can occur. Backup generators provide power to essential equipment, such as cooling systems, that keep the reactor and spent fuel pools from overheating.  If the backup generators fail, there is a risk of a nuclear accident, as was seen in the disaster in 2011, where the failure of backup generators led to a loss of cooling and a major nuclear incident.

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Which of the following is an example of a relapse "slip" rather than "fall"?
OA. Hailey was trying to eat healthier, but she ate a bowl of ice cream
after dinner.
O B. Kyle was trying to exercise regularly, but then he got sick for a
week and now hasn't exercised all month.
OC. Sally was trying to eat healthy snacks, but then after school she
ate a pan of brownies by herself.
OD. Troy was trying to get stronger, so he participated in a strength
training program all year but then got too busy and did not lift a
single weight all summer.

Answers

An example of relapse is D, Troy was trying to get stronger, so he participated in a strength training program all year but then got too busy and did not lift a single weight all summer.

What is relapse?

After a time of improvement or change, relapse is the return to a prior state or behavior. Relapse is used to describe the restart of drug or alcohol use or other addictive behaviors after a period of abstinence or recovery in the context of addiction or recovery.

This is an example of a relapse "slip" because Troy was making progress towards his goal of getting stronger but temporarily stopped due to being busy, whereas a "fall" would imply a complete abandonment of the goal with no intention of getting back on track.

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Answer: The correct answer is A "Hailey was trying to eat healthier, but she ate a bowl of ice cream after dinner."

Explanation: I got it right on the test

GL to all of you out there <3

DOES FORCE ALWAYS HAVE SOME EFFECT ON ALL OBJECT

Answers

Answer:

Answer is down below…

Explanation:

A force does not always bring a change in motion of an object. For instance, if you push the walls of the room with your hands, the walls do not move. Sometimes force changes the shape and size of an object without any change in the state of motion of an object. Q.

You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?

A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.

Answers

Answer:

C) The book's inertia carried it forward.

When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.

What is the formula for potential difference?

Answers

The formula for potential difference (also known as voltage) is, V = ΔE/q, where V is the potential difference in volts (V), ΔE is the change in electric potential energy in joules (J), and q is the charge in coulombs (C).

Electric potential difference, also known as voltage, is a measure of the electric potential energy per unit of charge required to move a charge from one point to another in an electric circuit. It is the difference in electric potential between two points in an electric circuit.

The formula for potential difference, V = ΔE/q, reflects this relationship. The numerator, ΔE, represents the change in electric potential energy between the two points, while the denominator, q, represents the charge that moves between the two points.

For example, if a charge of +1 C moves from a point A to a point B in an electric circuit, and the electric potential energy at point B is greater than at point A by 1 J, then the potential difference between points A and B is 1 V. This means that it takes 1 J of energy to move a unit of charge from point A to point B in the circuit.

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A roller coaster car is released from rest as shown in the image below.
Ignoring friction, what will be the approximate velocity of the car when it
reaches the bottom of the roller coaster in the image? (Recall that g = 9.8
m/s².)
49 m
OA. 16 m/s
OB. 48 m/s
OC. 55 m/s
OD. 31 m/s

Answers

The speed of the roller coaster car as shown is  31 m/s

What is the Roller coaster?

We know that the roller coaster is the kind of device that we can use to be able to show the conversion of kinetic energy to potential energy. By the use of the roller coaster, we can show that the total mechanical energy in the system is a constant.

As such we have that;

mgh = 1/2mv^2

m = mass of the object

g = acceleration due to gravity

h = height

v = velocity

Hence;

gh= 1/2v^2

v = √2gh

v = √ 2 * 9.8 * 49

v = 31 m/s

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Particles q1 =+9.33 uC, q2 =+4.22 uC, and q3=-8.42 uC are in a line. Particles q1 and q2 are separated by 0.180 m and particles q2 and q3 are separated by 0.230 m. What is the net force on particle q2?

Answers

The net force on q₂ will be  1.07 x 10⁻² N, pointing to the left.

To find the net force on particle q₂, we need to calculate the force due to q₁  and q₃ individually and then add them up vectorially. We can use Coulomb's law to calculate the force between two point charges:

F = k × (q₁ × q₂) / r²

where F is the magnitude of the force, k is Coulomb's constant (k = 8.99 x 10⁹ Nm²/C²), q1 and q2 are the charges of the two particles, and r is the distance between them.

The force due to q₁ on q₂ can be calculated as:

F₁ = k × (q₁ × q₂) / r₁²

where r1 is the distance between q₁ and q₂ (r₁ = 0.180 m).

Similarly, the force due to q₃ on q₂ can be calculated as:

F₂ = k × (q₃ × q₂) / r₃²

where r₃ is the distance between q₂ and q₃ (r₃= 0.230 m).

The direction of each force can be determined by the direction of the electric field due to each charge. Since q₁ and q₃ have opposite signs, their electric fields point in opposite directions. Therefore, the force due to q₁ points to the left and the force due to q₃ points to the right.

To find the net force, we need to add up the forces vectorially. Since the forces due to q₁ and q₃ are in opposite directions, we can subtract the magnitude of the force due to q₃ from the magnitude of the force due to q₁ to get the net force on q₂:

Fnet = F₁ - F₃

Substituting the values we get:

Fnet = k × (q₁ × q₂) / r₁² - k × (q₃ × q₂) / r₃²

Plugging in the values we get:

Fnet = (8.99 x 10⁹ Nm²/C²) × [(9.33 x 10⁻⁶ C) × (4.22 x 10⁻⁶ C) / (0.180 m)² - (-8.42 x 10⁻⁶ C) × (4.22 x 10⁻⁶ C) / (0.230 m)²]

Fnet = 1.07 x 10⁻² N

Therefore, the net force on q₂ is 1.07 x 10⁻² N, pointing to the left.

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Which of the following equations could be used to derive an expression for the electric field created by a changing magnetic field?

Answers

Option C is the use of the equations to arrive at an expression for the electric field produced by a shifting magnetic field.

A current will be induced in a coil of wire if the coil is put in a magnetic field that is changing. Since there is an electric field causing the charges to be forced around the wire, current is flowing as a result. The charges are not initially moving, hence it cannot be the magnetic force.

The moving + and - charges radiate a changing electric field, and it is also visible that this field generates a changing magnetic field as well. With increasing distance from the antenna, the source of the radiation, the electric and magnetic fields lose strength.

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Paul rides his bike at a constant speed of 8.3 m/s (30 km/h) for a time equal to
120 seconds.
To. Calculate the distance it traveled during this time.
b. How long will it take at this speed to travel 3 km? Ask your calculation before giving the result

Answers

The distance is 996 mThe time  is 3 s

What is the speed?

We have to know that the speed is the ratio of the distance to the time and that the speed is a scalar quantity. We are going to apply the concept of the speed here.

The SI unit of speed is meters per second (m/s). Other common units of speed include kilometers per hour (km/h) and miles per hour (mph).

Speed = Distance/Time

Distance = Speed * Time

= 120 seconds * 8.3 m/s

= 996 m/s

The time that is taken so as to travel 3 Km at this speed is

Time = Distance/Speed

Time = 3000 m/996 m/s

= 3 s

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