(f) if the camera can focus on objects at infinity and the lens can only move a distance f/2, what is the minimum distance at which an object can be focused?

Answers

Answer 1

The minimum distance at which an object can be focused is f.

In this scenario, we can use the thin lens formula:

1/f = 1/d₀ + 1/dᵢ

Where f is the focal length of the lens, d₀ is the distance from the lens to the object, and dᵢ is the distance from the lens to the image formed.

When the camera focuses on an object at infinity, the image is formed at the focal point of the lens. This means that dᵢ = f, and we can rewrite the formula as:

1/f = 1/d₀ + 1/f

Simplifying this equation, we get:

d₀ = f/2

Therefore, the minimum distance at which an object can be focused is f/2, which is half the focal length of the lens.

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Related Questions

An 12 kg object accelerating from 9 m/s to 14 m/s. What is the change in momentum of the object?

Answers

Answer:

Change in momentum = 60kgm/s.

Explanation:

Given the following data;

Mass, m = 12kg

Initial velocity, u = 9m/s

Final velocity, v = 14m/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

To find the change in momentum;

Mathematically, change in momentum is given by the formula

[tex] Change \; in \; momentum = m(v - u) [/tex]

Substituting into the equation, we have;

[tex] Change \; in \; momentum = 12(14 - 9) [/tex]

[tex] Change \; in \; momentum = 12*5[/tex]

Change in momentum = 60kgm/s.

Why is it that a car traveling in the opposite direction as the car in which you are riding on the freeway often looks like it is moving faster than the speed limit?

Answers

It’s because of the theory of special relativity:
Object moving faster than your view actually move through time quicker.
Einstein actually proved this. Pretty neat

Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.

Answers

Answer:

El peso es de 882 newton.

Explicación:

El helicóptero se detiene a la altura en la que volaba para dejar caer una caja de 90 kg al suelo, el peso de la caja llega hasta los 882 Newton porque el peso es una fuerza dirigida hacia el centro de la tierra y depende de la gravedad. La fórmula del peso es multiplicar la masa por la gravedad, de modo que cuando se multiplican 90 kg de masa por 9,8 metros / seg2, obtenemos el peso del objeto que es 882 newton.

The colors of various main sequence stars are shown below.

Which list correctly ranks these stars in order of increasing temperature?

Answers

Answer:

The answer is B.

Barnard’s star, Sun, Altair, Achernar

Explanation:

Remember the brighter the star the higher the temperature, Red being the oldest of the stars orange middle age, white stars ( getting to its ends can be also a dwarf star), and blue star being the youngest of the stars Also blue is the hottest star

Answer:

B

Explanation:

What is the kinetic energy of the ball as it is half way through the fall?

Answers

Therefore, the kinetic energy of the ball will be equal to the potential energy of the ball at minus the potential energy of the ball at . i.e. It is a common sense as the ball has fallen halfway, half of its potential energy is converted into the kinetic energy

How many electrons would be needed to give a cobalt atom (that has 27 protons and 28 neutrons) a net charge of zero?​

Answers

Answer:

The answer would be 123

What is the name of the relationship between period and frequency?

Answers

Answer:

Periodic motion is a repetitious oscillation.

Explanation:

The time for one oscillation is the period T. The number of oscillations per unit time is the frequency f. These quantities are related by f=1T f = 1 T .

a golf club is swung and strikes a golf ball with a force of 12.2 N. The golf ball accelerates at 265.2 m/s2. Calculate the mass of the golf ball. Show your work and include the correct unit.

Answers

Answer:

[tex]0.046\ kg[/tex]

Explanation:

[tex]We\ are\ given\ that,\\Acceleration\ produced\ on\ the\ golf\ ball\ due\ to\ Force\ exerted=265.2\ m/s^2\\Magnitude\ of\ the\ Force\ exerted\ over\ the\ Golf-Ball=12.2\ N\\We\ know\ that,\\'The\ force\ acting\ on\ an\ object\ is\ equivalent\ to\ the\ product\ of\ it's\ mass\\ and\ the\ acceleration\ produced'.\\Or,\\F=ma\\Let\ the\ mass\ of\ the\ golf\ ball\ be\ m,\\Hence,\\12.2=265.2\ m\\m=\frac{12.2}{265.2}=0.046\ kg[/tex]

Question 29 of 43
Which is true of infrared waves?
They have shorter wavelengths than X-rays.
They give off more energy than gamma rays.
Ο Ο Ο Ο
o They have longer wavelengths than ultraviolet waves.
They have higher frequencies than visible light waves

Answers

I agree with the first responses

Infrared wave basically have shorter wavelengths than X-rays. The correct option is A.

What is infrared wave?

A section of the electromagnetic radiation spectrum with wavelengths ranging from roughly 700 nanometers (nm) to one millimetre is known as infrared radiation (IR), or simply infrared (mm).

While shorter than radio waves, infrared waves are longer than visible light waves.

Infrared radiation has the ability to ease muscle tension and encourage local blood circulation.

Infrared radiation has been used in conventional medicine to treat conditions including autoimmune diseases and issues with wound healing in addition to relieving muscle pain and tension.

Infrared waves are shorter than radio waves but longer than visible light waves.

Thus, the correct option is A.

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Which planet has the least gravitational pull?

Answers

Answer:

Mercury

Explanation:


The greater the mass of an object.

Answers

Answer:

Mass is the measure of an object's matter (what it's made up of). The greater an object's mass, the greater its gravitational force. The earth has a strong attracting force for objects with smaller mass (including the moon), and the sun has an attracting force on the earth and other planets in our solar system.

What is the current in a circuit that has a resistance of 75Ω and a voltage drop of 120V across the cell? (I'll give brainliest!)

Answers

Resistance  =  (voltage) divided by (current)

                                             =  (120 V)  /  (0.5 Amp)

                                             =          240 ohms .

I REALLY NEED HELP THIS IS DUE IN AN HOUR

A person records a bird call as an analog wave. The sound is then stored on a computer as a digital signal. When a person wants to listen to the bird call, it needs to be converted back into an analog wave. What is an advantage of storing the bird call as a digital?

Answers

Answer:

In analog technology, a wave is recorded or used in its original form. In digital technology, the analog wave is sampled at some interval, and then turned into numbers that are stored in the digital device. On a CD, the sampling rate is 44,000 samples per second. An analog recording is considered unlimited. Therefore, it can move to a higher and higher resolution without losing its original quality.

What’s the answer please?

Answers

Answer:

C

Explanation:

Hope this helps!

mineral salt compounds (calcium chloride, table salt)

Answers

Answer:

Chloride and Salt

Explanation:

that make up table salt, a.k.a. sodium chloride (NaCl). ... As sodium chloride (NaCl) or calcium chloride (CaCl2) dissolve in water, ... the compound formed when a positive ion combines with a negative ion out of solution, but ... waters may have more if there is weathering or leaching from nearby mineral-rich soils and rocks.

difference between the fertility rate and mortality rate of developed and least development countries
3/3 points.​

Answers

Answer:

The replacement fertility rate is indeed only slightly above 2.0 births per woman for most industrialized countries (2.075 in the UK, for example), but ranges from 2.5 to 3.3 in developing countries because of higher mortality rates, especially child mortality. pls give brainlest


1. Choose the statement that does not accurately describe observations

Answers

Answer:What are the statements?

Explanation:

Answer:

obtuse, oblique, unaware, over stimulate, distracted, undrewhelmed...

disordered eating is often __________.

A.

an eating disorder that affects numerous teens

B.

caused by eating irregularly over short periods

C.

a precursor for developing a disorder, but not a disorder on its own

Answers

Answer:

B) caused by eating irregularly over short periods

Explanation:

Disordered eating refers to a range of irregular and unhealthy eating behaviors and attitudes toward food. Disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own

Disordered eating refers to a range of irregular eating behaviors and attitudes towards food that may not meet the full diagnostic criteria for an eating disorder but still involve disturbances in eating patterns, body image, and weight. It can include behaviors such as restrictive eating, binge eating, purging, or excessive exercise.

While disordered eating shares similarities with eating disorders, it is considered a precursor or warning sign that someone may be at risk of developing a diagnosable eating disorder, such as anorexia nervosa, bulimia nervosa, or binge eating disorder. Disordered eating patterns can often progress and become more severe if left untreated, potentially leading to the development of an eating disorder.

Thereofre, disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own.

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Alli was in the park playing on the equipment. she noticed that on the highest slide she slides down

Answers

Explanation:

veiebrlrkorvziveieviebelebenduvrvr

Alli was in the park playing on the equipment. She noticed that on the highest slide, she slides down with the greatest speed. The correct option is C.

What is the relation between height and speed?

Height is the measurement of someone or something from head to foot or from base to top.

The curved slide is the fastest, despite being longer than the other circuits. This is due to the fact that it is steeper at first, leading the ball to be more affected by gravity and accelerate more quickly before reaching its top speed.

When two items rub against one another, as a slide and a person's bottom, friction is created. A slide would accelerate the rider too quickly without friction, possibly injuring them. Various substances known as lubricants can lessen the impact of friction.

Therefore, the correct option is C) With the greatest speed.

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The question is incomplete. Your most probably complete question is given below:

A) Without friction

B) with the slowest speed

C) With the greatest speed

D) with the same speed as the shortest slide

When the comet passes close to the sun, it has a visible tail. Typically, the comet is only visible for a matter of days while it may be invisible for years. Why does the comet spend so little time close to the sun?

Answers

Answer:

The comet is locked in the Sun's gravity. as it falls deeper in the gravity we'll, its velocity increases. As is travels closer to the Sun, it is trying to break away, but cannot. This transforms into a sideways movement that produces a tight turn. It races further out of the gravity well, and sheds velocity.

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

D

Explanation:

The bowling ball has a greater mass, so there's more stuff for gravity to act on. In that sense, gravity is pulling on it more. But it still doesn't fall any faster

Answer:

D: The acceleration of the gold ball will be greater than that of the bowling ball.

Hopefully this is right

Explanation:

The ball is lighter and bowling ball is heavy

A bus negotiates a curve of radius 487 m. What force will be exerted on an 80 kg passenger by the outside wall of the bus when it is traveling at 60 km/h?

Answers

Answer:

Centrifugal Force = 45.65N

Explanation:

Given the following data;

Mass, m = 80kg

Radius = 487m

Velocity = 60km/h to m/s = 60*1000/3600 = 16.67m/s

To find the centrifugal force;

Centrifugal Force = mv²/r

Substituting into the equation, we have;

Centrifugal Force = 80*16.67²/487

Centrifugal Force = 80*277.89/487

Centrifugal Force = 2223.12/487

Centrifugal Force = 45.65N

A box of books weighing 315 N is shoved across the floor by a force of 477 N exerted downward at an angle of 35° below the horizontal. If the coefficient of kinetic friction between the box and the floor is 0.58, how long does it take to move the box 4.20 m starting from rest?

Answers

Answer:

It takes 1.14 s to move the box 4.20 m.

Explanation:

Using Newton's second law we have:

[tex]Fcos(35)-F_{f}=ma[/tex]

[tex]Fcos(35)-\mu mg=ma[/tex]

F is the force exerted and m the mass of the books

[tex]Fcos(35)-\mu mg=ma[/tex]

[tex]477cos(35)-(0.58*315)=\frac{315}{9.81}a[/tex]

So, the books accelerate at:

[tex]a=6.48\: m/s^{2}[/tex]

We know that the initial velocity is zero, so using the kinematic position equation, we have:

[tex]x=\frac{1}{2}at^{2}[/tex]

So, we just need to solve the equation for t.

[tex]4.2=\frac{1}{2}6.48t^{2}[/tex]

[tex]t=\sqrt{\frac{2*4.2}{6.48}}[/tex]

Taking the positive value of t:

[tex]t=1.14\: s[/tex]

Therefore, it takes 1.14 s to move the box 4.20 m.

I hope it helps you!

Plzzz help. Will give branliest.

Why should experiments be replicable?

A. So that the materials used can be validated.
B. So that scientists can gain popularity in the community.
C. So that fewer errors will be made and the data appear to be more correct.
D. So that others can repeat experiment and obtain similar results.

Answers

D. So the scientists can repeat the same experiment and get the same or similar results.

Answer:

C

Explanation:

How much mass can be lifted by a weight lifter on the surface of the moon if he can lift 100 kg on the Earth?​

Answers

Answer:

if u have to find mass then it always constant everywhere that is 100kg but if u have to find weight then it 1/6 of earth .

Explanation:

16.6666

3.Minsoo is training for cross-country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west. Draw and label the vectors that show each segment of his trip and the resultant displacement vector. Find his resultant displacement. (10 points)

Answers

Answer:

...............................

The structure of an atom consists of
A. a proton surrounded by neutrons
B. a nucleus surrounded by electrons
C. a nucleus containing protons and electrons
D. a "cloud" of protons, electrons, and neutrons

Answers

Answer:

the correct answer is C

Explanation:

a nucleus of atom is contain protons and electrons

Calculate the amount of charge necessary to exert a force of 35 N in an electric field of 300 N/C.

Question 6 options:
A. 0.117 C
B. 1.17 C
C. 2.12 N/C
D. 0.21 N/C

Answers

Answer:

The amount of charge is "0.117 C" i.e., option A.

Explanation:

The given values are:

Force,

[tex]\vec{F}[/tex] = 35 N

Electric field,

[tex]\vec{E}[/tex] = 300 N/C

Charge,

q = ?

As we know,

⇒  [tex]\vec{F}=q\vec{E}[/tex]

On substituting the given values in the above formula, we get

⇒  [tex]35=q\times 300[/tex]

⇒   [tex]q=\frac{35}{300}[/tex]

⇒   [tex]q=0.117 \ C[/tex]

A line with a negative slope on a distance-time graph means the object is?​

Answers

Answer:negative slope or gradient I think

Explanation:

a line with any negative slope on a distance time graph means that the object is moving at a constant speed (if the line is straight) but in the reverse discretion.

All living things are closely related to their _______________________. Any change in one part of an environment causes a __________________________________________________

Answers

environment, stimulus (or adaptation).

All living things are closely related to their environment. Any change in one part of an environment causes a stimulus.

What is an Environment?

All living or non-living objects that occur naturally, or in this example, without the use of artificial means, are included in the natural surroundings or natural world. The phrase is most frequently used with reference to Earth or certain regions of it.

An environment encompasses all that surrounds us, including both living and dead objects like water, soil, plants, and animals that can adapt to their environment. The gift of nature is what sustains life on Earth.

Environment can be summed up as the effects of every one of the living or non-living things that have an impact on human life. Non-living or abiotic elements include water, land, sunshine, rocks, and air, whereas all live or biotic components are animals, plants, forests, fisheries, and birds.

Thus, all living things are closely related to their environment. Any change in one part of an environment causes a stimulus.

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A lender may be protected from deterioration of the borrowers creditworthiness if the commercial lending agreement requires the borrower to maintain a:Multiple Choicea. fixed charge ratio below a certain level.b. fixed charge ratio above a certain level.c. specified return on equity.d. specified earnings per share (EPS). telling your audience your main ideas before you begin to develop your speech is an example of a Which of the following is least likely to impair a CPA firm's independence with respect to a nonpublic audit client in the Oklahoma City office of a national CPA firm?A. A partner in the Oklahoma City office owns an immaterial amount of stock in the client.B. A partner in the Jersey City office owns 7% of the client's stock.C. A partner in the Oklahoma City office, who does not work on the audit, previously served as controller for the audit client.D. A partner in the Chicago office is also the vice president of finance for the audit client. Description: In class, we will see how to use the Decorator design pattern to build an order for coffee; decorating the basic black coffee with cream, sugar and extra shots. In this homework, you will take the code shown in class and add two more items that can be additions to a coffee order. You will then create a JavaFX program, utilizing the decorator design pattern included, that provides the user interface to make coffee orders and display them. To create your user interface, you must use FXML and CSS style sheets. You must have at least one of each: a controller class, a .fxml file and a .css file. The user interface must render only using this approach. Implementation Details: You will create a maven project, including unit tests, using the Maven project provided for this homework. The GUI: You must include a way to start a new order, delete an order, order each additional item and display the order and total cost when the order is complete. Once the order is complete, you must display the entire order including the cost of each item, the add ons and total cost of the order. For example: Black Coffee: $3.99 + extra shot: $1.20 + cream: $.50 + sugar: $.50 Total: 6.19 The user must be able to build another order after each order is completed. You must also create some kind of color/design scheme for you app, it can not just be the defaults. Otherwise, you are free to be creative with your user interface. CS 342 Homework #6 Fall 2021 The Code: Your orders must be built utilizing the design pattern code included. For example, if I wanted to order a coffee with an extra shot, cream and sugar, it would be built like this: Coffee order = new Sugar(new Cream( new ExtraShot(new BasicCoffee()))); For this HW, it is assumed that every coffee order will start with BasicCoffee. You do not need to include functionality to remove certain items once they are added. The user can just delete the order and start again. 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