1. A 14-cm tall object is placed 26 cm from a converging lens that has a focal length of 13 cm.

Answers

Answer 1

Answer:

a) Please find attached the required drawing of light passing through the lens

By the use of similar triangles;

The image distance from the lens = 26 cm

The height of the image = 14 cm

c) The image distance from the lens = 26 cm

The height of the image = 14 cm

Explanation:

Question;

a) Determine the image distance and the height of the image

b) Calculate the image position and height

The given parameters are;

The height of the object, h = 14 cm

The distance of the object from the mirror, u = 26 cm

The focal length of the mirror, f = 13 cm

The location of the object = 2 × The focal length

Therefore, given that the center of curvature ≈ 2 × The focal length, we have;

The location of the object ≈ The center of curvature of the lens

The diagram of the object, lens and image created with MS Visio is attached

From the diagram, it can be observed, using similar triangles, that the image distance from the lens = The object distance from the lens = 26 m

The height of the image = The height of the object - 14 cm

b) The lens equation is used for finding the image distance from the lens as follows;

[tex]\dfrac{1}{u} + \dfrac{1}{v} = \dfrac{1}{f}[/tex]

Where;

v = The image distance from the lens

We get;

[tex]v = \dfrac{u \times f}{u - f}[/tex]

Therefore;

[tex]v = \dfrac{26 \times 13}{26 - 13} = \dfrac{26 \times 13}{13} = 26[/tex]

The distance of the image from the lens, v = 26 cm

The magnification, M =v/u

∴ M = 26/26 = 1, therefore, the object and the image are the same size

Therefore;

The height of the image = The height of the object = 14 cm.

1. A 14-cm Tall Object Is Placed 26 Cm From A Converging Lens That Has A Focal Length Of 13 Cm.

Related Questions

Which action would decrease the entropy of a deck of playing cards?
A. Shuffling the deck
B. Dropping the deck on the floor
O C. Stacking the cards in order of face value
D. Throwing the deck up into the air
SUBMIT

Answers

Answer:

A. Stacking the cards in order of face value

Explanation:

A deck of playing cards' entropy would be reduced by being stacked in order of face value. Option C is correct.

What is entropy?

The degree of randomness of the system is known as entropy.

If the system is organized its entropy is less. Stacking the cards in order of face value is an organized action.

Stacking the cards in order of face value is the action would decrease the entropy of a deck of playing cards.

Hence, option C is correct.

To learn more about entropy refer to;

https://brainly.com/question/13146879

#SPJ2

A motorcycle daredevil plans to ride up a 2.0-m-high, 20∘ ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 10.4 m/s at that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible. Part A: Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp.

Answers

Answer:

The motorcycle daredevil does not sail across the 10-m wide pool filled with hungry crocodiles

Explanation:

The given parameters are;

The height of the ramp = 2.0 m-high

The angle of elevation of the ramp, θ = 20°

The width of the pool = 10 m

The speed with which he is going when the engine fails = 10.4 m/s

The rolling friction between the rubber tires, μ = 0.02

μ·g·cos(θ) = (1/2)·(a)

a = (μ·g·cos(θ))/(1/2)

Where;

a = The acceleration down the plane

∴ a = 0.02 × 9.81 × cos(20°)/(1/2) ≈ 0.369

The length of the ramp, l = 2.0 m/(sin(20°)) ≈ 5.8476088 m

The velocity at the end of the ramp, v² = u² - 2·a·l

∴ v² = 10.4² - 2×(0.369 + 9.81 × sin(20°))×5.8476088 ≈ 64.60446471

v ≈ √(64.60446471) ≈ 8.04

∴ The velocity at the top of the ramp, v ≈ 8.04 m/s

The time it takes the motorcycle to reach ground level from the top of the ramp, t, is given as follows;

h = h₀ + u·t + (1/2)·a·t²

h₀ = 2, u = 8.04×sin(20°), a = -9.81

When h = 0 (ground level), we have;

∴ h = 2+ 8.04×sin(20°)·t - (1/2)×9.81×t²

0 ≈ 2.75·t - 4.905·t² + 2

2.75·t - 4.905·t² + 2 = 0

By using a graphing calculator, we have, t = 0.978 or t = -0.42

At ground level, the time of flight, t ≈ 0.978 s

The horizontal distance the motorcycle travels, before landing, x = u × cos(θ) × t

∴ x = 8.04×cos(20 Degrees) × 0.978 = 7.3889

The horizontal distance the motorcycle travels, before landing, x ≈ 7.3889 m

Therefore, given that the horizontal distance the motorcycle travels in the air 7.3889 m < 10 m, therefore the motorcycle daredevil does not sail across the 10-m wide pool filled with hungry crocodiles

Write the formula of gravitational force between two bodies of masses x and y kept at a distance r

Answers

Answer:

F=Gxy/r^2

Explanation:

F=Gm1m2/d^2

F=Gxy/r^2

for the light bulb to produce the aame illuminace with the candle to the screen, the luminous intensity of the bulb is _______ that of the candle?

Answers

Answer:

9 times

Explanation:

luminosity decreases to the square of the distance

what is usually placed on the x axis

Answers

Answer:

(independent variable) x-axis

(dependent variable) y-axis

Let's say you cut open a log of wood with an axe, what type of simple machine are you using? Does it matter how sharp it is?

Answers

yes it matters because if it's not sharp it would take all day

Answer:

an axe is a type of machine called a wedge. it does matter how sharp your axe is. if your axe is not sharp then you will have a harder time cutting wood.

Explanation:

A 1.6 Kg bird that is flying through the air has 220 J of kinetic energy. How fast is the bird flying?

20.5 m/s
19.4 m/s
18.2 m/s
16.6 m/s
cuh

Answers

Answer:

v = 16.58 m/s

Explanation:

Given that,

Mass of a bird, m = 1.6 kg

Kinetic energy of the bird, K = 220 J

We need to find the speed of the bird. The formula for the kinetic energy is given by :

[tex]E=\dfrac{1}{2}mv^2[/tex]

Where

v is the speed of the bird

So,

[tex]v=\sqrt{\dfrac{2E}{m}}[/tex]

Put all the values,

[tex]v=\sqrt{\dfrac{2\times 220}{1.6}}\\\\v=16.58\ m/s[/tex]

So, the speed of the bird is equal to 16.58 m/s.

HELP ME PLEAASSEEE ILL MARK U THE BRAINLIEST

Answers

Answer:

Gravitational energy and kinetic energy

Which of the following best describes how a transformer works?
O A. Converts electric energy into mechanical energy
B. Converts the voltage of a current source
C. Converts mechanical energy into electrical energy
D. Converts the direction of current flow in a circuit

Answers

Answer:

B.Converts the voltage of a current source

A transformer is an electrical apparatus designed to convert alternating current from one voltage to another. It can be designed to "step up" or "step down" voltages and works on the magnetic induction principle. ... When voltage is introduced to one coil, called the primary, it magnetizes the iron core.

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

A 5L container has a ​

Answers

Answer:a gas at pressure of 0.8 m column of H g

Explanation:I think

if you can't test an explanation through experiment,
A) the phenomena let's not have occurred in the physical world
B) people will disagree on whether the explanation is correct
C) your observation must not have really occurred
D) a group of scientists will vote on their favorite explanation

Answers

Answer:

B

Explanation:

Which of the following describes a mixture?( 2 A combination of two or more substances O A combination of two sources of energy An object made of the same substance A substance that is made up of matter​

Answers

Answer:

A combination of two or more substances.

A 1.50 kg ball moving at 4.50 m/s is caught by a 60.0 kg man while the man is standing on ice. How fast will the man / ball combination be moving after the ball is caught by the man?

Answers

Answer:

Explanation:

The Law of Momentum Conservation applies, and the formula for us here specific to this problem is:

[tex][(m_bv_b)+(m_mv_m)]_b=[(m_b+m_m)v_{both}]_a[/tex] and filling in:

[(1.50*4.50)+60.0*0)] = [(1.50 + 60.0)v] and

6.75 + 0 = 61.5v so

v = .110 m/s in the same direction as the ball

an object of volume 1m3 and density of 500kg/m3 float in water what volume of water is displaced​

Answers

Answer:

[tex]0.5\; \rm m^{3}[/tex].

Explanation:

Calculate the mass of this object:

[tex]\begin{aligned}& m(\text{object}) \\ &= \rho(\text{object}) \cdot V(\text{object}) \\ &= 500\; \rm kg \cdot m^{-3} \times 1\; \rm m^{3} = 500\; \rm kg\end{aligned}[/tex].

Multiple the mass of this object by the gravitational field strength, [tex]g[/tex], to find the weight of this object: [tex]W(\text{object}) = m(\text{object}) \cdot g[/tex].

Since this object is floating in water, the buoyancy force on it should be equal to its weight:

[tex]F(\text{buoyancy}) = W(\text{object}) = m(\text{object}) \cdot g[/tex].

By Archimedes' Principle, the weight of the water that this object displaces would be equal to [tex]F(\text{buoyancy})[/tex], the size of buoyancy force on this object,

Hence, the weight of water displaced would be [tex]W(\text{object}) = m(\text{object}) \cdot g[/tex].

Divide this weight by [tex]g[/tex] to find the mass of water displaced:

[tex]\begin{aligned} & m(\text{water displaced}) \\ &= \frac{W(\text{water displaced})}{g} \\ &= \frac{m(\text{object}) \cdot g}{g} = m(\text{object}) = 500\; \rm kg\end{aligned}[/tex].

Assume that the density of water is [tex]\rho(\text{water}) = 1000\; \rm kg \cdot m^{-3}[/tex]. The volume of water displaced would be:

[tex]\begin{aligned}& V(\text{water displaced}) \\ &= \frac{m(\text{water displaced})}{\rho(\text{water})} \\ &= \frac{500\; \rm kg}{1000\; \rm kg \cdot m^{-3}} = 0.5\; \rm m^{3}\end{aligned}[/tex].

Scientists today use satellites as well as telescopes to observe the universe. Suggest one way
that developments in equipment have changed the information scientists collect about
planets.​

Answers

Answer:

Rovers, unmanned space probes, modern instruments,

Explanation:

convert 3 hours 30 minutes into second​

Answers

Answer:

9000 SECONDS

Explanation:3 hours=180 mins

                     180+30=210mins

                      150x60=12600secs

Choose the incorrect statement about the proton: Group of answer choices The proton has the atomic mass of 1 amu The proton has the same charge as the neutron. The proton has greater mass than an electron The proton and the neutron have approximately the same atomic mass

Answers

Answer:

The proton has the same charge as the neutron.

Explanation:

Because the proton has a positive charge whereas the neutron has no charge  at all.


A man ran a 5 mile race. The race looped around a city park and back
to the starting line. What is the man's total displacement?
A. 0 miles
B. 2.5 miles
C. 5 miles
D. 10 miles

Answers

Answer:

How big the city because it could be a big all city

how can professional education improve life of people?

Answers

Answer:

Professional education as a science has been defined as a field of educational science that studies the growth of a person into a profession and the related problems. It refers to organized education aimed at the knowledge and skills needed in the profession and working life, as well as growing into active citizenship and membership of society. Professional education as a discipline studies vocational training, skills and learning related to the profession and working life.  

It enables young people and adults to pursue goal-oriented learning with the aim of acquiring and developing the necessary skills in the profession and creating the conditions for independent professional activity and continuous development in the profession.

The following figure shows a Ferris wheel that rotates 6 times each minute and has a diameter of 17.8. What is the centripetal acceleration of a rider?

Answers

Answer:

106.8

Explanation:

If you multiply 6 and 17.8, you'll get 106.8.

If that's wrong, my apology's !

A jetliner can fly 8.0 hours on a full load of fuel. Without any wind it flies at a speed of 2.42 x 102 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 40.7-m/s wind from the jet stream, which blows from west to east. What is the maximum distance (in kilometers) that the plane can travel due west and just be able to return home

Answers

Answer:

3386.23 Km

Explanation:

Without any wind interference the speed of the plane, it flies at 2.42 x 102 m/s or 242 m/s

The magnitude of the velocity of the air = 40.7-m/s

The time taken, for the plane to fly due west, tw = distance, x ÷ (speed of the plane without wind interference, up - the magnitude of the velocity of the air, ua).......... (equation 1)

The time taken, for the plane to fly due east, te = distance, x ÷ (speed of the plane without wind interference, up + the magnitude of the velocity of the air, ua).......... (equation 2)

To calculate the total time, t, the plane can fly to cover east and west distances, we add equation 1 and 2 together

t = (x ÷ (up - ua)) + (x ÷ (up + ua))

Making distance x, the subject of the formula we have:

x = t ( up²- ua²) ÷ 2up

note t = 8.0 hours which is (8 x 60 x 60) seconds = 28,800‬

So, x = 28,800‬ ((242 m/s)² - (40.7-m/s)²)÷ 2(242 m/s)

x= 1,638,936,288‬ ÷ 484

= 3386.23 Km

What is speed in a specific direction called

Answers

Answer:

my brainly answer got deleted for no reason but its velocity thats the name of speed in 1 direction

Explanation:

Calculate the force that is applied on this 0.25 kg ball, as it goes down to hit the ground.
(given gravity= 9.8 m/s2).

Answers

Answer:

F = 2.45 N

Explanation:

m = 0.25 kg

a = 9.8 m/s^2

F = ma

F = (0.25)(9.8)

F = 2.45 N

Which wave shows the loudest sound below?​

Answers

Answer:

I think C

Explanation:

If im right give brainliest :)

Answer: C the right answer

1. At what angle of release did the sepak takraw ball travel farthest? ______ 2. How will you compare the range (horizontal distance) travelled by the ball at angles of 25º and 65º? How about at angles of 40º and 50º? ________________________________________________________________________ 3. At what angle of release did the ball reach the maximum height?_________ 4. How will you compare the height reached by the ball at 25º, 45º and 65º? _______________________________________________________________________ 5. How will you explain the relationship between the angle of release to the height of the projectile? How about angle of release and range before it reaches the farthest distance?

Answers

Answer:

1) θ = 45,  b)  R₄₀ = R₅₀ = (v₀² / g) 0.985,  R₂₅ = R₆₅ = (v₀² / g) 0.766

3)  θ = 90º, d)   y₂₅ = (v₀ / 2g)   0.179, y₄₅ = (v₀ / 2g) 0.5, y₆₅ = (v₀ / 2g) 0.821

Explanation:

This is a projectile throwing exercise, let's use the relations

         R = [tex]\frac{v_o^2 \ sin \ 2\theta }{g}[/tex]

         

1) the angle for a maximum reach (R) is θ = 45

         R = v₀²/g

2) let's compare the scopes

θ = 25º

          R₂₅ = (v₀² /g) sin 2 25

          R₂₅ = (v₀² /g)  0.766

θ = 65º

         R₆₅ = (v₀² / g)  sin 2 65

         R₆₅ = (v₀² / g) 0.766

θ = 40º

        R₄₀ = (v₀²/g)  sin 2 40

        R₄₀ = (v₀²/ g) 0.985

θ = 50

        R₅₀ = (v₀²/g)  sin 2 50  

        R₅₀ = (v₀² / g) 0.985

we can see that it has the same scope

         R₄₀ = R₅₀ = (v₀² / g) 0.985

         R₂₅ = R₆₅ = (v₀² / g) 0.766

3) the maximum height is reached when the vertical speed is zero

         [tex]v_y^2 = v_{oy}^2 - 2 g y[/tex]

          v_y = 0

         y = [tex]\frac{v_{oy}^2}{2g}[/tex]

         y = (v₀² /2g) ( sin θ)²

therefore the height is maximum for θ = 90º

4) θ = 25º

         y₂₅ = (v₀ / 2g)   (sin 25)²

         y₂₅ = (v₀ / 2g)   0.179

θ = 45º

         y₄₅ = (v₀ / 2g) (sin 45)²

         y₄₅ = (v₀ / 2g) 0.5

θ = 65º

         y₆₀ = (v₀ / 2g) (sin 65)²

         y₆₅ = (v₀ / 2g) 0.821

5) It is appreciated that as the launch angle increases the height increases, the maximum is when the movement is vertical

For the launch angle, the reach has a maximum for the angle of 45º, this is due to the symmetry of the sine function around this value.

2. CaCl2 (s) + 2H20 ---> Ca(OH)2 (aq) + 2HCl (g) + heat
Is it an endothermic reaction?

Answers

Answer:

no

Explanation:

Calcium chloride is a chemical compound made up of calcium ions and chlorine ions. ... Mixing calcium chloride with water is an exothermic reaction, which means that the combination of the two substances releases heat. Thus, when you add calcium chloride to water, the solution heats.

Dad, if you are seeing this, then I have run away. Angie has been torturing me ever since you started dating her, and I have had enough of it. I have been trying to tell you, but you would never listen. Goodbye, and Angie, if you are seeing this, I posted this on here, so you will not be able to delete anything. Have a nice life

Answers

Answer:

hey are you ok!?!?!?!

Explanation:

Is Angie your Dad new gf or wife???

Answer:

:(

Explanation:

u ok?

running away from problems only makes things worse. Your teaching urself to run. but I dont blame u

anyway hope u find what ur looking for out there!!

A householder has a 10.8 kW electric shower installed in the bathroom. Calculate the current drawn from the mains electricity supply by the shower.

Answers

Answer:

90 A

Explanation:

Applying,

P = VI.............. Equation 1

Where P = Power, V = Supply voltage, I = current.

Make I the subject of the equation

I = P/V.............. Equation 2

From the question,

Assuming the Voltage of the main electric supply is 120 V

Given: P = 10.8 kW = 10800 W, V = 120 V (household voltage)

Substitute these values into equation 2

I = 10800/120

I = 90 A

During the Egg Drop lab sim you manipulated several variables like height, egg mass and impact surface. If you dropped a large egg from 10 meters which one condition would allow the best chance for the egg to survive unbroken?

Answers

Answer:

An egg with a thick shell.

Explanation:

Hope this helps.

Ở nhiệt độ không đổi, dưới áp suất 10^4 Pa l, một lượng khí có thể tích 10l. Tính thể tích lượng khí đó dưới áp suất 5.10^4 Pa

Answers

Answer:

Thể tích cuối cùng, V2 = 2 L

Explanation:

Cho các dữ liệu sau đây;

Khối lượng ban đầu = 10 L

Áp suất ban đầu = 10⁴ = 10000 Pa

Áp suất cuối cùng = 5 * 10⁴ = 50000 Pa

Để tìm tập mới hoặc tập cuối cùng, chúng ta sẽ sử dụng định luật Boyle;

Để tìm tập mới V2, chúng tôi sẽ sử dụng định luật Boyles.

Boyles phát biểu rằng khi nhiệt độ của khí lý tưởng được giữ không đổi, áp suất của khí tỉ lệ nghịch với thể tích mà khí chiếm giữ.

Về mặt toán học, định luật Boyles được đưa ra bởi;

[tex] PV = K[/tex]

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

Thay vào phương trình, ta có;

[tex] 10000 * 10 = 50000V_{2} [/tex]

[tex] 100000 = 50000V_{2} [/tex]

[tex] V_{2} = \frac {100000}{50000}[/tex]

[tex] V_{2} = 2 [/tex]

Thể tích cuối cùng, V2 = 2 L

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