Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. the shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. the vertex of the parabola is at the origin. where should gabe place the bulb to ensure a perfect beam of light? (0, 1) (0, 4) (1, 0) (4, 0)

Answers

Answer 1

Gabe should place the bulb to ensure a perfect beam of light at (C) (1,0).

A reflective surface used to gather or project energy like light, sound, or radio waves is known as a parabolic, paraboloid, or paraboloidal reflector, dish, or mirror. Its form is a component of a circular paraboloid or the surface produced by a parabola rotating around its axis.

Suppose the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So the subject value is y2 = 4ax

4 = 4 a (1)

4 = 4a

a = 1

So  x = 1

thus focus is at  (x, y) = (1,0)

Thus option C is the correct answer.

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Related Questions

When an ambulance drives towards you, the pitch of the siren is higher. After itdrives past, the pitch of the siren is lower.The reason it is lower is that the frequency of the wavelengthA. increasesB. decreasesC. Stays the same

Answers

Doppler's effect:

The Doppler effect states that the frequency of sound increases as it source approaches you and it decreases as the source turns away from you.

When the ambulance drives past you, the pitch of the siren is lower. This is due to the fact that the frequency of the wavelength decreases.

A higher pitch means frequency increases and a lower pitch means frequency decreases.

Therefore, the correct answer is option B. decreases

why does wave refraction occur? a. wave lines approach shore and enter into different depths

Answers

the wave bends towards the slower part

The diagram below shows the path of a planet around a star.

At which point does the planet have the least gravitational force acting on it?

A. Point D
B. Point A
C. Point B
D. Point C

The diagram below shows the path of a planet around a star.At which point does the planet have the least

Answers

Answer:

Explanation:

The farther a celestial object (a mass in space) is from another, the less of a gravitational force that they have on each other.

A

I just did it trust

If the jet comes to rest in 13.0 ss , what is the magnitude of its average acceleration?

Answers

If the jet comes to rest in 13.0 ss , the magnitude of the average acceleration is zero.

The magnitude of average acceleration can be determined by using the formula:
average acceleration = (change in velocity) / (change in time)

In this case, since the jet comes to rest, its initial velocity is zero. Therefore, the change in velocity is the final velocity.

The jet comes to rest in 13.0 seconds, we can substitute the values into the formula to calculate the magnitude of average acceleration.
average acceleration = (final velocity - initial velocity) / (change in time)

Since the initial velocity is zero, the formula simplifies to:
average acceleration = final velocity / (change in time)

As the jet comes to rest, the final velocity is also zero.

Therefore, the magnitude of the average acceleration is:
average acceleration = 0 / 13.0 seconds
average acceleration = 0 m/s²

So, the magnitude of the average acceleration is zero.

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find the work done by the force field f(x, y, z) = y z, x z, x y on a particle that moves along the line segment from (1, 0, 0) to (3, 3, 4).

Answers

Hence, work done over the particle is 26

According to the given information

Consider a particle that moves on the line segment from (1,0,0) to (3,4,2)

The objective is to find the work done by the force field \($F(x, y, z)=\langle y+z, x+z, x+y\rangle$\) on the particle.

The particle moves on the line segment joining the points (1,0,0) to (3,4,2).

Recall that the work done over the particle is given by the integral as follows:

\(W=\oint_C F \cdot d r\)

The curve C represents the line segment from the point (1,0,0) to (3,4,2).

Calculate the vector function which represents the segment such as,

\(& r(t)=\langle 1,0,0\rangle+t\langle 3-1,4-0,2-0\rangle \\\)

\(& r(t)=\langle 1,0,0\rangle+t\langle 2,4,2\rangle \\\)

\(& r(t)=\langle 1+2 t, 4 t, 2 t\rangle\)

The vector \($\vec{r}(t)=(1+2 t) \vec{i}+(4 t) \vec{j}+(2 t) \vec{k}$\)

Compare the above equation with \($\vec{r}(t)=x \vec{i}+y \vec{j}+z \vec{k}$\)

Evaluate the value of x, y, z by above equations.

x=1+2 t, y=4 t, z=2 t

Since, \($F(x, y, z)=\langle y+z, x+z, x+y\rangle$\)

Substitute the values of equation (2) to get,

\(x & =y+z \\\)

  \(& =4 t+2 t \\\)

  \(& =6 t \\\)

\(y & =x+z \\\)

  \(& =1+2 t+2 t \\\)

  \(& =1+4 t \\\)

\(z & =x+y \\\)

  \(& =1+2 t+4 t \\\)

  \(& =1+6 t\)

Find the derivate of the vector as,

\(d r(t)=(2 \vec{i}+4 \vec{j}+2 \vec{k}) d t\)

Here \($0 \leq t \leq 1$\)

Substitute the values in equation (1) as follows:

\(& \oint F \cdot d r=\int F(r(t)) \cdot r^{\prime}(t) d t \\\)

            \(& =\int_0^1 F(r(t)) \cdot r^{\prime}(t) d t \\\)

            \(& =\int_0^1((6 t) \vec{i}+(1+4 t) \vec{j}+(1+6 t) \vec{k}) \cdot(2 \vec{i}+4 \vec{j}+2 \vec{k}) d t \\\)

            \(& =\int_0^1(12 t+4+16 t+2+12 t) d t\)

            \(& =\int_0^1(40 t+6) d t \\\)

            \(& =\left(\frac{40 t^2}{2}+6 t\right)_0^1 \\\)

            \(& =\left(20 t^2+6 t\right)_0^1 \\\)

            \(& =26\)

Hence, work done over the particle is 26

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4
Why MCB is called the developed form of fuse? Give the reason​

Answers

Miniature circuit breakers is called the developed form of fuse because MCBs are more sensitive to current than fuses. They immediately detect any abnormality and switch off the electrical circuit automatically. This prevents any permanent damage to electrical appliances and human beings

Which phase of cell division is shown?

Exploring meiosis.


A. metaphase


B. prophase


C. anaphase


D. telophase

Which phase of cell division is shown?Exploring meiosis.A. metaphaseB. prophaseC. anaphaseD. telophase

Answers

Answer:

Anaphase

Explanation:

This is because the spindle fibres have shortened and is pulling the chromatids towards the poles of the cell. The chromatids have also separated.

The cell division which is shown in the picture is anaphase. The correct option is C.

What are the phases of meiosis?

Meiosis is divided into two main phases, each with its own set of subphases:

1 Meiosis I:

a. Prophase I: This is the longest and most complex phase of meiosis. During this phase, homologous chromosomes pair up and form bivalents, and crossing over occurs between the homologous chromosomes. The nuclear envelope breaks down, and spindle fibers form from the centrioles at opposite poles of the cell.

b. Metaphase I: During this phase, the homologous chromosomes line up along the metaphase plate, with one chromosome from each homologous pair facing each pole of the cell.

c. Anaphase I: During this phase, the spindle fibers contract and pull the homologous chromosomes towards opposite poles of the cell.

d. Telophase I: During this phase, the chromosomes reach the poles of the cell and the nuclear envelope reforms around each set of chromosomes. The cell then undergoes cytokinesis, resulting in two daughter cells.

2. Meiosis II:

a. Prophase II: During this phase, the nuclear envelope breaks down, and spindle fibers form from the centrioles at opposite poles of the cell.

b. Metaphase II: During this phase, the chromosomes line up along the metaphase plate, with sister chromatids facing opposite poles of the cell.

c. Anaphase II: During this phase, the spindle fibers contract and pull the sister chromatids towards opposite poles of the cell.

d. Telophase II: During this phase, the chromosomes reach the poles of the cell and the nuclear envelope reforms around each set of chromosomes. The cell then undergoes cytokinesis, resulting in four haploid daughter cells.

Meiosis involves two rounds of chromosome segregation, resulting in four haploid daughter cells that are genetically distinct from the parent cell.

Therefore, The correct option is C i.e anaphase.

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Which phase of cell division is shown?Exploring meiosis.A. metaphaseB. prophaseC. anaphaseD. telophase

Police invetigator, examining the cene of an accident involving two car, meaure 64-m-long kid mark of one of the car, which nearly came to a top before colliding. The coefficient of kinetic friction between rubber and the pavement i about 0. 70. Etimate the initial peed of that car auming a level road

Answers

The initial speed of the car with a length of the skid mark of about 64 m long and kinetic friction of 0.70 is 29.63 m/s.

A force that acts between moving surfaces is referred to as kinetic or sliding friction. It is the frictional force that prevents relative motion between surfaces in contact. The formula to calculate this kind of friction is, \(f _k =\mu_kN\) where uk is the coefficient of friction and N is the normal force.

Given the length of the skid mark (Δd) is 64 m and the coefficient of kinetic friction is 0.70. The final velocity vf is 0 because the car stops.

Let us assume the initial velocity vi, mass m,  and deceleration a. Then, the normal force acting on the car is N = mg. The kinetic friction will be,

\(f _k =\mu_kN\\f_k=\mu_kmg\)

Let's assume the only force acting on the system is kinetic friction, then friction force=ma. Solve this equation with the above equation,

\(\begin{aligned}ma&=\mu_kmg\\a&=\mu_kg\end{aligned}\)

Then, the initial speed is calculated as follows

\(\begin{aligned}v_f^2&=v_i^2-2a\Delta d\\0&=v_i^2-2\mu_kg\Delta d\\v_i^2&=\mathrm{2\times0.70\times9.80\;m/s^2\times64\;m}\\v_i^2&=\mathrm{878.08\;m^2/s^2}\\v_i&=\mathrm{29.63\;m/s}\end{aligned}\)

The answer is 29.63 m/s.

The complete question is -

Police investigators, examining the scene of an accident involving two cars, measured 64 m long skid marks on one of the cars, which nearly came to a stop before colliding. The coefficient of kinetic friction between rubber and the pavement is about 0.70. Estimate the initial speed of that car, assuming a level road.

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A 4.0 kg cube is placed in a container of water. A student observes that the cube floats while performing simple harmonic motion. The net force exerted on the cube F represents the sum of the force due to gravity and the force exerted on the cube by the water. A force probe is used to measure F as a function of the cube's distance y from the bottom of the container. The graph shows F as a function of y, where the positive direction is upward. Which of the following statements is correct about the motion of the cube if it is released from rest at a vertical position of y = 0.05 m?

A 4.0 kg cube is placed in a container of water. A student observes that the cube floats while performing

Answers

The graph showing F as a function of y shows that D, the cube will oscillate between y=0.05 m and y=0.09 m.

How to determine oscillation?

From the graph, the force exerted on the cube increases linearly as the cube is displaced upwards from its equilibrium position at y = 0.07 m. When the cube is displaced to y = 0.05 m, the net force is upward and greater than the weight of the cube. This causes the cube to accelerate upward.

As the cube moves upward, the force exerted by the water decreases until it is equal to the weight of the cube at y = 0.07 m. At this point, the net force on the cube is zero and the cube momentarily comes to rest. The cube then continues to move upward, but the force exerted by the water is now downward, causing the cube to slow down and eventually come to a stop at y = 0.09 m.

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The complete question is:

A 4.0 kg cube is placed in a container of water. A student observes that the cube floats while performing simple harmonic motion. The net force exerted on the cube F represents the sum of the force due to gravity and the force exerted on the cube by the water. A force probe is used to measure F as a function of the cube's distance y from the bottom of the container. The graph shows F as a function of y, where the positive direction is upward. Which of the following statements is correct about the motion of the cube if it is released from rest at a vertical position of y = 0.05 m?

A) The cube will have a constant upward acceleration of 2.0 m/s².

B) The cube will have a constant downward acceleration of 2.0 m/s²

C) The cube will travel upward with a changing. c acceleration until it comes to rest at a position of y= 0.07 m.

C) The cube will oscillate between y = 0.05 m and y = 0.09 m.

An electric current flows in a closed loop made of two fixed rails, power supply, and a very light rod that is free to move on the top of the rails. A uniform magnetic field is perpendicular to the plane of the circuit. What is the direction of the magnetic force on the rod? оа. -у O b. -X O C. +x O d. +y

Answers

On the rod, the magnetic force of current flow is flowing in a -y direction.

What direction does the current move in?

Conventionally, an electric current flows in the direction that a positive charge would.As a result, the positive terminal of the battery receives less current in the external circuit than the negative terminal does.Electrons go from a negative potential to a positive potential, and vice versa.

Why does positive to negative current flow?

Because of the high potential electron concentration at the positive terminal and the low potential electron concentration at the negative terminal, electric current flows. Current is calculated as the quantity of electrons passing across the cross section of a conductor in a second.

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what happens inside of a star?​

Answers

Answer:

In the centre of a star, the temperature and pressure are so high that four protons can fuse to form helium, in a series of steps.  

Explanation:

the angle of incidence for a ray of light from air to water interface is 40 degree. if the ray travels through the water with a refractive index of 1.33, calculate the angle of refraction.

Answers

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here's the solution ~

According to snells law :

\(\qquad \sf  \dashrightarrow \: n_1 ×sin \: i = n_2 \times sin \:r \)

i = angle of incidence r = angle of refraction

[ n corresponds to the refracting index of a medium ]

now, as we know :

retractive index of air is approximately 1

angle of incidence is given to be 40°

refrctive endex of water is given 1.33

Now, let's proceed according to the formula ~

\(\qquad \sf  \dashrightarrow \: 1 \times \sin(40 \degree) = 1.33 \times \sin(r) \)

\(\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{1 \times sin \: r}{1.33} \)

[ sin 40° = 0.6428 ]

\(\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{0.6428}{1.33} \)

\(\qquad \sf  \dashrightarrow \: \sin(r) \approx \cfrac{1}{2} \)

\(\qquad \sf  \dashrightarrow \: r \approx 30 \degree\)

Hence, the angle of refraction is equal to 30°

You leave Chicago, Illinois at 8am and fly to Portland, Oregon. Your flight takes 2.5 hours. What time do you arrive in Portland?

Answers

Answer:

10:30am ........................

Answer:

maybe around 10:30 I would say

Hello help me please! (*8* Points!) How can the potential energy of a bicycle stopped at the top of a hill be changed into kinetic energy?

Answers

Answer:

If the bicycle went down the hill, because if you are at the top of the hill, that is potential energy, when you start going down, it is turned into kinetic energy. Makes sense?

Explanation:

Which change increases the electric forcWhich change increases the electric force between objects?e between objects?

Answers

The electric force increases because the amount of charge has a direct relationship to the force. ... Electrons are added to two negatively charged objects. Hope it helps

Answer:

b

Explanation:

As part of his special theory of relativity, Einstein saw mass as a form of

Answers

Answer:

Energy

Explanation:

Edge 2021

As part of his special theory of relativity, Einstein saw mass as a form of energy.

What is the theory of relativity?

The theory of relativity as stated by Einstein stated that mass and energy are both interconvertible. This explains why energy is released when mass is lost.

Thus, as part of his special theory of relativity, Einstein saw mass as a form of energy.

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An object has an x-momentum of 8.5 kilogram-meters/second and a -momentum of 9.8 kilogram meters/second. What Is resultänt
momentum of the object?
OA 15.5 kilogram-meters/second
OB. 14.8 kilogram-meters/second
0c 12.97 kilogram-meters/second
OD. 16.8 kilogram-meters/second

Answers

Answer:

The resultant momentum is 12.97 kg.m/s. Choice: c

Explanation:

Momentum

The momentum is a vector that measures the quantity of motion that an object has. It's also known by the term "mass in motion".

As a vector, it can be expressed by its rectangular components:

\(\vec p = p_x\mathbf{i}+p_y\mathbf{j}\)

The magnitude of the momentum is:

\(\mid \mid \vec p \mid \mid =\sqrt{p_x^2+p_y^2}\)

The object described has an x-component of:

px=8.5 Kg.m/s

And a y-component of:

py=9.8 Kg.m/s

Thus, the magnitude of the momentum is:

\(\mid \mid \vec p \mid \mid =\sqrt{8.5^2+9.8^2}\)

\(\mid \mid \vec p \mid \mid =\sqrt{72.25+96.04}\)

\(\mid \mid \vec p \mid \mid =\sqrt{168.29}\)

\(\mid \mid \vec p \mid \mid =12.97\)

The resultant momentum is 12.97 kg.m/s. Choice: c

Directions: Follow the steps below to help you understand electrical charges.
Materials
You will need: a plastic bag, two long rubber bands, a thin aluminum pie tin, a wool scarf or glove, and a friend or family member to assist you.
• STEP 1: Stretch the rubber bands across the pan-they should cross one another. Lay the bag flat on the table and rub it several times with the wool.
• STEP 2: With one hand, lift the pan by the rubber bands; be sure to keep your fingers from touching the pan,
• STEP 3: Bring the pan and the bag together. While they are together, ask someone to touch the pan quickly. What happens?
• STEP 4: Now take the pan away from the bag, still keeping your fingers from touching the pan. Right away, bring the pan up to your nose. What do you feel?
What do you hear?
• STEP 5: Now complete Steps 1-4 again, but do them in a dark room or closet. Ask a friend or family member to be in the room with you-what did he or she see
when you brought the pan to your nose?
Using the Text Editor, explain your observations and what happened during this experiment. What was happening to the electrical charges during the experiment and
why?

Answers

In this experiment, rubbing a plastic bag against wool allowed electrons to move back and forth between the two, creating a negative charge on the bag. When the negatively charged bag was brought close to the neutral PAN, the bag's negative charge attracted the PAN's electrons, separating the two charges and leaving the PAN with a positive charge. On touching the pan the surplus positive charge was neutralized, creating a spark.

When the pan was brought up to the nose a slight jolt was felt and a crackling sound was heard. This resulted in the excess charge in the pan being carried through the air to the nearest conductor, the person holding the pan.

The spark and shock were easy to see in a dark environment as there was no ambient light to obstruct the view. The blow was more pronounced and distinct, and the spark appeared as a bluish glow.

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which acts as a transverse wave with particle motion perpendicular to wave motion?

Answers

Answer:

transverse wave, motion in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance. Surface ripples on water, seismic S (secondary) waves, and electromagnetic (e.g., radio and light) waves are examples of transverse waves.

Please do!!!

Will name the brainlest!

Please do!!!Will name the brainlest!

Answers

i think it goes fall the down winter and then the other seasons

what was known as the only official national sport of canada from 1859 to 1994?

Answers

From 1859 to 1994, lacrosse was known as the only official national sport of Canada.

Lacrosse, a game with Indigenous origins, was declared the official national sport of Canada in 1859. It held this distinction until 1994. The sport has a rich history in Canada, with Indigenous communities playing it for centuries before European settlers arrived. Lacrosse symbolized a connection to Indigenous culture and traditions.

However, in 1994, the Canadian government recognized ice hockey as the official winter sport and lacrosse as the official summer sport. This change reflected the growing popularity and cultural significance of ice hockey in Canada while still acknowledging the historical importance of lacrosse.

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two small plastic spheres are given positive electric charges. when they are apart, the repulsive force between them has magnitude what is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other?

Answers

We apply positive electric charges to two little plastic spheres. The amount of the repelling force between them when they are separated depends on how charged each sphere is. In light of this, total value of all of the two was 7.4 x 10-7 C.

How does physics define an electric charge?

Charge, often referred to as electric control, electrical charge, and electrostatic charge, and denoted by the symbol q, is a property of a unit unit matter that expresses that degree to which it has much more and fewer protons than electrons.

Which 3 types of fees are there?

Subatomic particles or matter particles serve as examples of different types of charges: The charge on a proton is positive. Negative charge is a property of electrons. Null charge exists in neutrons.

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If a moving object is 75% kinetic energy how much potential energy does it have?

Answers

Answer:

the ebergy

Explanation:

energy does it have if a miving object

which of the following tests is performed to measure the amount of elongation and the yield point of a metal?

Answers

Here are 3 alkali metals with physical and chemical similarity.

What is alkali metals?

Alkali metals are come from the fact that when these metals or their oxides dissolved in water.a basic solution results.

Three alkali metals -

1- hydrogen(H)

2-lithium(Li)

3-potassium(K)

Physical and chemical similarity of hydrogen -

-it is colourless and tasteless in nature.

-it is a combustible gas but not a supporter of combustion.

Physical and chemical similarity of lithium -

-it have a melting point of 180.54

-it is the lightest of all metals,with a density approximately half that of water.

Physical and chemical similarity of pottasium -

- this metal is soft and white with a silver lustre.

-it imparts a lavender colour to a flame, and it's vapour is green.

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Find the length of a microscope having magnifying power 100, if the focal lengths of the objective and eye piece are 2 cm and 5 cm respectively. Assume that the final image is formed at infinity

Answers

Answer:

   L = 40 cm

Explanation:

A microscope is an optical instrument built by two lenses in such a way that the image of the first is formed within the distance of the other (eyepiece), so that the latter creates an enlarged virtual image of the object, for which the magnification of the microscope is the same to the multiplication of the magnification of each lens

    M = - L / f₀ (25 cm /\(f_{e}\))

where fo and fe are the focal lengths of the objective and eyepiece, 25 cm is the near vision distance and L is the length of the microscope

     L = - M f_{o} f_{e} / 25

let's calculate

     L = - (-100) 2 5/25

      L = 40 cm

79.8329 + 3.179 + 6.5263
And round

Answers

Answer:

90.0

Explanation:

Because 78.8329 + 3.179=83.0119

83.0119 + 6.5263=89.5382 rounded up is 90.0000

Hope this helps have a awsome afternoon:)

Advantages to using natural gas instead of petroleum or coal for energy

Answers

Because using natural gas is less polluting than petroleum or coal.

Natural Gas is a cleaner fuel than these. Natural gas emits a third less carbon dioxide than coal and emits half less than oil when used for different purposes.
The benefits of using natural gases are:

1. Domestic availability

2. relatively low cost
3. burns efficiently

4. reliable

5. relatively safe

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if a magnetic field cannot increase a particles velcotiy how do particle accelerators using electromagntic fields work

Answers

Particle accelerators use electromagnetic fields to accelerate particles by exerting a force on them.

The magnetic field alone cannot increase a particle's velocity, but when combined with an electric field, it can

accelerate charged particles. This is because the magnetic field causes the particles to move in a circular path, while

the electric field provides the necessary energy to increase the speed of the particles as they move along this path.

Therefore, the electromagnetic field works by combining the effects of both the electric and magnetic fields to

accelerate particles in a controlled manner.

Particle accelerators work by utilizing both electric and magnetic fields to increase the energy of charged particles.

While it's true that magnetic fields alone cannot increase the velocity of a particle, they play an essential role in

controlling the particle's trajectory. On the other hand, electric fields are responsible for increasing the velocity of

charged particles.


Here's a step-by-step explanation of how particle accelerators work using electromagnetic fields:

1. Charged particles are introduced into the accelerator.

2. Electric fields provide the necessary force to accelerate the particles, increasing their velocity.

3. Magnetic fields guide and steer the particles along the desired path or into circular orbits.

4. As particles move through alternating electric fields, they continue to gain energy and increase their velocity.

5. When particles reach the desired energy level, they can be directed toward a target or collision point for experiments.

In summary, particle accelerators use electromagnetic fields to control and increase the velocity of charged particles. Electric fields accelerate the particles, while magnetic fields guide their trajectory.

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What is the definition of a force in 5 words?

Answers

pressuring someone to do something

please explain what is a Energy is

Answers

Energy is the capacity for doing work.

Other Questions
Scientists have identified several problems with relying primarily on pollution cleanup. Which of the following is not one of those problems? Pls help quick dont stela points I will report u bums out there what was beowulf last battle setting PLZ HELP!! WILL MARK BRAINLIEST PLZ!! The diagram shows the life cycle of a fern. HELP ASAP!!!!What does stage 2 show?A) A mature spore-producing fern plant has fonds and produces spores.B) A spore grows into a mature gamete-producing plant.C) A zygote forms when a sperm fertilizes an egg cellD) A gamete-producing fern plant is flat and shaped like a heart. Why might a cowboy not want to re-up for a cattle drive? Assume that a continuing audit client has recorded Accounts Receivable and Equipment both in the amount of $1,000,000. In a typical audit, which account would take more time to audit? The phosphate functional group would be an example of a polar and hydrophilic group. a.True b.False HELP HELP HELP HELP ... HELP DUE Now The ozone layer protects us from the harmful effects of which type of radiation?infraredultravioletradiomicrowave Scenario: Hannah has started a handmade candle business as a side hustle to help her to build an income, she currently has the time to produce 20 candles per week. But she is unsure which distribution channel she should use. Which distribution channel do you recommend she uses and why? Idris has a mass of 65 kg. He is standing on the second floor of his apartment building, 5 meters above the ground. What is his gravitational potential energy (GPE)? O A. 325J O B. 31,213 J O C. 3,185 J O D. 79.8J Which process releases energy from food by producing ATP in the absence of oxygen?A. cellular respirationB. diffusionC. fermentationD. photosynthesis A student is investigating the effect of light intensity on the rate of photosynthesis . She observes that as light intensity increases the rate of photosynthesis increases. Which explanation best describes how the rate of photosynthesis can affect the biodiversity of an area? Which group of Founding Fathers created these amendments?a.Federalists b.Continental Congress c.Southern States d.Anti-Federalists A thin sheet of Iron is in contact with a carburizing gas on one side and a decarburizing gas on the other at 1000C a. Sketch the resultant carbon concentration profile when a steady state has been reached assuming surface concentration are maintained at 0.15 and 1.4 wt% C b. If Dc increases from 2.5 x 10 -11 m2 s-1 at 0.15% C to 7.7 x 10 -11 m2 s-1 at 1.4%C, what will be the quantitative relationship between the concentration gradients at the surfaces the ratio of the heights of two cylinders is 1:3. if the volume of the smaller cylinder is 67cm3, find the volume of the larger cylinderPLEASE ANSWER ASAP If 5 apples cost $1.15, find the cost of 16 apples Persevere with Problems A student scored 98, 94, 96, and 88 points out of 100 on the last four science tests. What score must the student score on the fifth test to have an average of at least 94 points? The student must score at least points on the fifth test to have an average of at least 94 points for all of the tests. what two numbers multiply to 50 and add up to -15