A slide projector projects images on a screen. a) If the slide is 15.5 cm from the lens and the lens has a focal length of 15 cm, how far away is the screen

Answers

Answer 1

Answer:

[tex]d_{i}=465 cm=4.65 m[/tex]  

Explanation:

Using the thin lens equation, we have:

[tex]\frac{1}{f}=\frac{1}{d_{o}}+\frac{1}{d_{i}}[/tex]

Where:

f is the focal length

d(o) is the distance of the object

d(i) is the distance of the image

[tex]\frac{1}{15}=\frac{1}{15.5}+\frac{1}{d_{i}}[/tex]

[tex]\frac{1}{15}-\frac{1}{15.5}=\frac{1}{d_{i}}[/tex]    

[tex]d_{i}=465 cm=4.65 m[/tex]          

Therefore, the screen is at 465 cm.

I hope it helps you!


Related Questions

if nothing is faster than the speed of the light how did the dark get there first??

Answers

Bc the light went to sleep duh

Answer:

Darkness takes up the space that light does not.

( I will give a brainliest )
What must be changed, temperature or heat energy, during condensation?

Answers

Answer:

The answer is temperature lol

Explanation:

:)

List two examples of how the land can have a dramatic change in temperature throughout the day.

Answers

Answer:

one could freeze and the second would thaw

Explanation:

sorry if its wrong

The two examples of how land can have a dramatic change in temperature

is during freezing and thawing.

Cold temperatures which is common during the winter period is

characterized by the formation of snow and freezing of smaller water

bodies.

There may be a short phase in which there is relative sunlight which melts

the frozen substances thereby forming liquids . This is usually as result of

the temperature being on the increase in the atmosphere.

Read more on https://brainly.com/question/25671319

Help pleaseeee need the answers ASAP

Answers

Answer:

- 670 kg.m/s

Explanation:

Newton's third law states that to every action, there is equal and opposite reaction force. Since the force will be same but different in direction and acted in the same time then the impulses ( force multiply by time) of the two car be same in magnitude but different in direction - 670 kg.m/s

-670 kg.m/s i know this because the first person is right and ik it

4. What is the tan gential velocity of an object moving in a path of radius 2m with an angular velocity of
3rad/s.pls help me​

Answers

Answer:

6m/s

Explanation:

The tangential velocity is the product of the linear velocity and the radius. This is expressed as;

v = wr

w is the angular velocity = 3rad/s

r is the radius = 2m

Substitute

v = 3 * 2

v = 6m/s

Hence the tangential velocity of the object is 6m/s

Suppose that when spring was wound, 100J of work was done but 15J escaped to the surrounding as heat. The change in internal energy of the spring is? ​

Answers

Answer: 85J

Explanation:

From the question, we are informed that when spring was wound, 100J of work was done but 15J escaped to the surrounding as heat.

Therefore, the change in internal energy of the spring will be calculated as:

ΔU = q + w

where, q = -15J

w = 100J

ΔU = -15J + 100J

= 85J

Delaney loves her new kiddie pool, but she is afraid to get wet. She crawls around the outside of the pool for hours. Jocelyn says Delaney is making rotations around the pool and Jonathan says Delaney is making revolutions around the pool. Who is correct? Suppose your answer with evidence.

Answers

Answer:

Revolutions

Explanation:

A student is creating an electromagnet for an investigation. Which feature of the electromagnet will least influence the magnetic force?
A
the material of the core
B
the brand of the battery
С
the number of wire coils
D
the che of the power source

Answers

C the number of wire coils

Your car gets a flat! You go from 90 kilometers per hour to a stop in 6 seconds. What is your rate of deceleration? (it's negative!) I need this asap help

Answers

Answer:

at a rate of deceleration of -15 kilometers per second

Explanation:

90/6=15

The rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².

HOW TO CALCULATE DECELERATION?

The rate of deceleration can be calculated by using the following formula:

d = v - u/t

Where;

d = deceleration (m/s²)v = final velocity = 90km/h = 25m/su = initial velocity = 0km/h = 0t = time (s)

d = 25 - 0/6

d = 4.16m/s²

Therefore, the rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².

Learn more about deceleration at: https://brainly.com/question/4403243

Does a basketball, baseball, tennis ball, or marble MOST LIKELY have the smallest volume?

Answers

Marble i think not quite sure doe

Answer: tennis ball

Explanation:

what causes sound to have low pitch
A.Sound Wave with high frequency.
B.sound wave with low frequency.
C.sound wave with large amplitude
D.sound wave with small amplitude

Answers

C sound wave with large amplitude

A boy climbs 12.0m up an apple tree. He picks an apple and throws it horizontally with a velocity of 3.0 m/s. How far forward does the ball go before it hits the ground

Answers

Answer:

4.692m

Explanation:

The distance that this boy climbed = 12.0m

The velocity = 3.0m/s

We are to find how far forward this apple goes before it hits the ground.

We have y = 1/2gt²

X = v*t

T = 1.564 seconds

X = 3x1.564

X = 4.692m

Therefore the ball goes a distance of 4.692m forward before it then hits the ground.

A sled weighs 10.0 kg. It is held in place on a frictionless 20.0-degree slope by a rope attached to a stake at the top of the slope. Find the tension in the rope if it is parallel to the slope. 47.9 N 37.4 N

Answers

Answer:

33.5 N

Explanation:

Given that

Mass of the sled is, m = 10 kg

Angle of slope, θ = 20°

The tension in the rope of its parallel to the slope is often given as

W * sinθ, where

W = Force on the rope and

θ = angle of the slope

Now, remember that

w = mg, where g = acceleration due to gravity, so

W = 10 kg * 9.81 m/s²

W = 98.1 N,

Going ahead to solve for tension in the slope, we have

T = W * sinθ

T = 98.1 * sin20

T = 98.1 * 0.342

T = 33.5 N

Tension in the slope is 33.5 N

Kindly leave a like if it helped you

1 point

After being cut off, Billy accelerates at a rate of 12.3m/s2 for 455 m. As he

approaches the biker who cut him off, his velocity is a ludicrous 125 m/s.

What was his initial velocity?

33.3 m/s

66.6 m/s

99.9 m/s

122.2 m/s

Answers

Answer:

The initial velocity of Billy is 66.6 m/s.

Explanation:

Given;

acceleration of Billy, a = 12.3 m/s²

distance moved by Billy, d = 455 m

final velocity of Billy, v = 125 m/s

let the initial velocity of Billy = u

Apply the following equation of motion;

v² = u² + 2ad

125² = u² + 2(12.3 x 455)

15625 = u² + 11193

u² = 15625 - 11193

u² = 4432

u = √4432

u = 66.57 m/s

u = 66.6 m/s.

Therefore, the initial velocity of Billy is 66.6 m/s.

How fast is a 30 kg child runnning if her kinetic energy is 500 J?

Answers

Answer:

[tex]\displaystyle v = 5.7735 \ m/s[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Physics

SI Units

Speed is m/s (meters per second)Energy is J (Joules), equal to 1 N/m (newton per meter)Mass is kg (kilograms)

Energy

Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]

KE is Kinetic Energy (in J)m is mass (in kg)v is velocity (in m/s)Explanation:

Step 1: Define

Mass m = 30 kg

Kinetic Energy KE = 500 J

Step 2: Solve for v

Substitute [KEF]:                     [tex]\displaystyle 500 = \frac{1}{2}(30)v^2[/tex]Multiply:                                   [tex]\displaystyle 500 = 15v^2[/tex]Isolate v term:                         [tex]\displaystyle \frac{100}{3} = v^2[/tex]                      Isolate v:                                 [tex]\displaystyle \frac{10\sqrt{3} }{3} = v[/tex]Rewrite:                                  [tex]\displaystyle v = \frac{10\sqrt{3} }{3} \ m/s[/tex]Evaluate:                                [tex]\displaystyle v = 5.7735 \ m/s[/tex]

which type if energy is used to power your tv?

Answers

Answer:

electrical

Explanation:

the TV needs electrical energy to power on

Answer:

electrical energy powers your TV, computer, microwave and toaster.

Help! Help!

___ are a primary way to discourage drinking and driving.
A. High prices for alcohol
B. Scare tactics
C. Laws

Answers

Answer:

Laws

Explanation:

Laws are a primary way discourage drinking and driving

A primary way to discourage drinking and driving is Law.

What is drinking and driving?

The person who takes in alcohol and then drives on the road. This is strictly prohibited.

Laws against the  'drinking and driving' will make people get scared of getting charged or sentenced to jail for some years. Lot of accidents have caused when there were no laws against the action.

Thus, Laws are a primary way to discourage drinking and driving.

Learn more about drinking and driving.

https://brainly.com/question/11317786

#SPJ2

A 20-cm-long rod with a diameter of 0.250 cm is loaded with a 5000 N
weight. If the diameter decreases to 0.210 cm, determine (i) the
engineering stress and strain at this load and (ii) the true stress and strain
at this load

Answers

Answer: the answer is 19cm

Explanation:

I need help with this please

Answers

Answer:

1. The respiratory system functions when our involuntary nervous system sends impulses to the muscles in the diaphragm; thereby, causing the lungs to expand and contract.

2. The respiratory system oxygenates the blood which is vital for bodily function as oxygenated blood is carried from your lungs to the left side of your heart, to be circulated throughout the body. Furthermore deoxygenated blood is carried back to the right side of your heart to get oxygenated once more.

3. The other body systems that are crucial for the lungs to function are the nervous system and the muscular system.

4. without the raspatory system the body wouldn't receive any oxygen and the brain would slowly die. therefore, without the brain the heart would stop functioning and atrophy etc.

Explanation:

Which of these is another name for Newton's
first law?
A. the law of action-reaction
B. the law of force and acceleration
C. the law of gravity
D. the law of inertia

Answers

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
D. The law of inertia

Four charges of equal magnitude, q = +1 uC, are placed at the four corners of a square with a side length of 1 meter located in the xy-plane. A small ball with a known charge +2 uC and an unknown mass is placed 2 meters above the center of the square (so along the z-axis).

Required:
a. What is the total force on the small ball from the four charges?
b. If the ball is in equilibrium where it was placed and we assume standard earth gravity, 9.8 m/s^2, what must the mass of the ball be?

Answers

Answer:

a)     F _total = 15.08 10⁻³ N ,   b)   m = 1,539 10⁻³ kg

Explanation:

a) To solve this problem we can use Coulomb's law to find the force created by each charge

          F =[tex]k \frac{\ q_{1} q_{2} }{r_{12}^{2} }[/tex]

and the total force is

          F = F₁₅ + F₂₅ + F₃₅ + F₄₅

The bold are vectros, In the exercise they indicate the charges

          q₁ = q₂= q₃ = q₄ =  1 10⁻⁶ C

          q₅ = 2 10⁻⁶ C

Let's set a reference system where the sphere is on the z axis and the other charges on the xy plane, let's write the coordinates of card charge

sphere (subscript 5)

   x₅ = 0

   y₅ = 0

   z₅ = 2 m

charge 1

   x = 0.5 m

   y = 0.5 m

   z = 0

charge 2

   x = -0.5 m

   y = 0.5 m

   z = 0

 

charge 3

   x = -0.5 m

   y = -0.5 m

   z = 0

charge 4

   x = 0.5 m

   y = -0.5 m

   z = 0

With these values ​​we can calculate the distance between each charge and the sphere

charge 1 and sphere

       r₁₅² = (x₅ -x₁)² + (y₅ - y₁)² + (z₅ -z₁)²

substitute

       r₁₅² = (0- 0.5)² + (0 - 0.5)² + (2 -0)²

       r₁₅² = 0.5² + 0.5² + 2²

       r₁₅² = 4.5

we can see that for the other charges the result is the same since being squared always gives positive

      r₁₅ = r₂₅ = r₃₅ = r₄₅

the force created by the card charge on the sphere is the projection on the Z axis of the total force

Let's find the angle with respect to the Z axis

            tan φ = r / z

where r is the magnitude of the vector in the xy plane

          r = [tex]\sqrt{0.5^{2} + 0.5^{2} }[/tex]

          r = 0.7071 m

         φ = tan⁻¹ r / z

         φ = tan⁻¹ (0.7071 / 2)

         φ = 19.5

consequently the total force is

        F_total = 4 F cos 19.5

        F _total =   [tex]4 \frac{k \ q_{1} q_{5} }{r_{15}^{2}}[/tex]   cos 19.5

let's calculate

        F_toal = 4 9 10⁹ 1 10⁻⁶ 2 10⁻⁶ /4.5    cos 19.5

        F _total = 15.08 10⁻³ N

b) For this part indicate that the sphere is in equilibrium with the weight

           F_total - W = 0

           W = mg

           F_total = mg

           m = F_total / g

           m = 15.08 10³ / 9.8

           m = 1,539 10⁻³ kg

detergents are used to clean the clothes why​

Answers

Answer:Detergent mixes with water to remove dirt and oil from clothes. Water can't remove oil and dirt from clothes. Detergent cleans by causing a chemical reaction with water to force dirt and debris out of clothing. Detergents work with water to loosen the dirt trapped in the material of clothing and clean them away.

Explanation:May i plz have brainlist only if u wanna give me brainlist though have an nice day!

14. After finishing her homework, Sue climbs up a 5.00 m high flight of stairs to her bedroom
Find the magnitude of Sue's weight
and how much
work Sue does in climbing the stairs if she
has a mass of 50.0 kg? (4.90 x 2 N, 2450J)

Answers

Explanation:

Given parameters:

Height  = 5m

Mass of Sue  = 50kg

Unknown:

Magnitude of Sue's weight  = ?

Work done by Sue = ?

Solution:

Weight is the vertical force exerted by a body in the presence of gravity.

Mathematically;

        W = mg

m is the mass

g is the acceleration due to gravity  = 9.8m/s²

  Weight  = 50 x 9.8  = 490N

Work done  = Force x distance = weight x height

 Work done  = 490 x 5 = 2450J

the maximum displacement of an oscillatory motion is A=0.49m. determine the position x at which the kinetic energy of the particle is half it's elastic potential energy? (if K.E = U/2 __ x = ?)

Answers

Answer:0.4 m

Explanation:

Given

Maximum displacement A=0.49

The sum of kinetic and elastic potential energy is [tex]\frac{1}{2}kA^2[/tex]

where k=spring constant

U+K.E.=[tex]\frac{1}{2}kA^2[/tex]

when K.E.=U/2

K.E.=kinetic energy

U=Elastic potential Energy

[tex]\rightarrow \ U+\frac{U}{2}=\frac{1}{2}KA^2\\\rightarrow \ \frac{3U}{2}=\frac{1}{2}KA^2\\\rightarrow \ U=\frac{1}{3}KA^2\\\rightarrow \ \frac{Kx^2}{2}=\frac{1}{3}KA^2\\\\x=\sqrt{\frac{2}{3}}A\\x=0.4\ m[/tex]

An object has a mass of 20 kg and is placed 2 m above the ground. What is its gravitational potential energy? (PEg)

Answers

Answer:

392 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 20 × 9.8 × 2

We have the final answer as

392 J

Hope this helps you

⚠️Please Help Me! I Need It Now!⚠️

Answers

Answer:

A. They are moving at 60 mph

Explanation:

When looking at the car on the track pass by, the people inside appear to be moving at the same speed as the car. So if the car is going 60 mph, the people instead will appear as though they are moving at 60 mph as well.


Compute the density in g/cm? of a piece of metal that has a mass of 0.450 kg and a volume of 52 cm3

Answers

Answer:

Ro = 8.65 [g/cm³]

Explanation:

We must remember that density is defined as the ratio of mass to volume.

[tex]Ro=m/V[/tex]

where:

m = mass = 0.450 [kg] = 450 [g]

V = volumen = 52 [cm³]

Ro = density [g/cm³]

Now replacing:

[tex]Ro = 450/52\\Ro = 8.65 [g/cm^{3} ][/tex]

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.1 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building

Answers

Answer:

[tex]\frac{dh}{dt}=-0.4125 m/s[/tex]

Explanation:

The very first thing we can do here is to draw a sketch of the situation the problem is presenting. (See attached picture)

As you may see in the picture, we can suppose the spotlight is directly located on the ground so the light of the spotlight together with the person and the wall make two similar triangles.

In this case we need to think about the dimensions of the triangle that will change over time. We will call them:

x= distance between the spotlight and the man.

h= height of the shadow.

So we can build a relation between the height and the length of each triangle:

[tex]\frac{h}{12}=\frac{2}{x}[/tex]

the distance between the spotlight and the wall is constant, so I can directly write the 12 in my equation and the height of the man is constant as well, so I can write the 2 directly into the equation.

Next, we can solve the equation for h (since we are interested in figuring out how fast the height of the shadow is decreasing) so we get:

[tex]h=\frac{24}{x}[/tex]

So next, we need to take the derivative of the equation, since the derivative of a position function will give us the velocity at which that position is changing.

First we rewrite the equation like this:

[tex]h=24x^{-1}[/tex]

and take the derivative:

[tex]dh=-24x^{-2}dx[/tex]

we can rewrite the derivative like this:

[tex]\frac{dh}{dt}=-\frac{24}{x^{2}} \frac{dx}{dt}[/tex]

where:

dh/dt is the velocity at which the height of the shadow is decreasing (that's why our equation has a negative sign in front of it).

dx/dt is the velocity at which the value of x is increasing. In other words, how fast the man is moving away from the spotlight.

So we can go ahead and substitute:

we wish to find the velocity at which the shadow's height is decreasing when the distance between the man and the building is 4m, so in this case, x=12-4=8m

[tex]\frac{dh}{dt}=-\frac{24}{8^{2}}(1.1 m/s)[/tex]

so we get:

[tex]\frac{dh}{dt}=-0.4125 m/s[/tex]

Deshaun Watson launches a football at a speed of 24.7 ms and an angle of 33° above the horizontal How far down
the football field does the football land? What is the max height the football reaches during flight?
Show work

Answers

Answer:

9.23m

Explanation:

Max height = u²sin²theta/2g

u is the speed = 34.7m/s

theta is the angle of elevation = 33°

g is the acceleration due to gravity = 9.8m/s²

Substitute into the formula

Max height = 24.7²sin²33/2(9.8)

Max height = 610.09sin²33/2(9.8)

Max height = 610.09(0.29663)/19.6

Max height = 180.97/19.6

Max Height = 9.23m

Hence the max height the football reaches during flight is 9.23m

Need help y’all ASAP please...physics

Answers

Answer:

t = 3/8 seconds

Explanation:

h=-16t^2 - 10t+6

h= 0 when it hits the ground

0=-16t^2 - 10t+6

factor out a -2

0= -2(8t^2 +5t -3)

divide by -2

0 = (8t^2 +5t -3)

factor

0=(8t-3) (t+1)

using the zero product property

8t-3 = 0    t+1 =0

8t = 3         t= -1

t = 3/8     t= -1

t cannot be negative  ( no negative time)

t = 3/8 seconds

Other Questions
I NEED THIS ASAP PLSS The group of humans who migrated worldwide from their beginnings in Africa were ____.a.Hom Erectusc.Austrapithecus,b.omo Habilisd.Homo sapiens. What do you think you could do, starting today, to further the cause of social justice? Both of the stories are adventure stories about finding treasure. Which of the following describes a similarity between the two stories in regard to the nature of the treasure hunts? In both stories, the characters have some clues and riddles to solve, and they solve them with the help of the characters they are working together with on the treasure hunt. In both stories, the characters set out on an adventurous treasure hunt where they are searching for ancient, long-lost treasure. In both stories, the characters set out on a treasure hunt because a friend or family member has set up the hunt as a fun activity, and they are promised a reward In both stories, there is a certain element of danger that the characters encounter, and they overcome the dangerous obstacles with the help of the other characters. "President Cleveland, Where Are You?" takes place during the American Great Depression. How does this setting affect the story? Because the boys collect and study president cards, they earn high marks on their history essays.Because the drugstore stops selling cowboy cards, Jerry and his friends start collecting president cards.Because Jerry does not contribute all his money toward his father's birthday gift, he feels guilty afterwards.Because Armand cannot afford new shoes and flowers for Sally, he feels he cannot attend the dance. Explain the differences between the roles of consumer, citizen, and worker. Your answer An isotope has three forms. 30% have a mass of 4 amu, 20% have a mass of 5 amu and50% have a mass of 3 amu, Average atomic mass will be closest to Tristan has already taken 18 pages of notes on his own, and he will take 1 page during eachhour of class. In all, how many hours will Tristan have to spend in class before he will havea total of 31 pages of notes in his notebook? what listening strategies did you while listening her/him talk? A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 44 represents the total cost. How many of each type of book did you buy? if u see a snake what do u do?A. run away from itB. run towards itC. make loud noiseD. throw stuff at the snake Witch one is it?I'm confused Jake says that there should be a decimal point in the quotient 142.45 7.4 = 1,925 after the 2.Part AWhich equation shows the best estimate for the quotient? A. 150 10 = 15 B. 150 5 = 30 C. 140 10 = 14 D. 140 7 = 20Part B . State whether the number is a solution to the giving inequality.n>9/16;7/12 Which of the following is NOT an external structure of insects?HeadLarvaThoraxAbdomen How can fossils help usunderstand the Earth's history? what does katniss call the tributes from the wealthier districts and why?(also what page the answer was found in) Can somebody help me thank you. PLEASE HELP QUICK!!!!!! what are the missing steps?Federal1. Bill Introduction: You write your federal representative or senator about your idea, who introduces the idea as a bill in their chamber of Congress.2.3.4. The House Rules Committee sets the rules for debate on the bill in the House.5. The bill goes to the House for action.6.7.8.State1. Bill Introduction: You write your state legislator about your idea, who introduces the idea as a bill in the state legislature.2.3. Committees debate and edit the bill.4.5. The state legislature approves the bill.6. Key components of building a six pack