The magnification of each lens can be calculated using the formula:
Magnification (magnification1) = -v1/u1
Magnification (magnification2) = -v2/u2
To find the absolute value of the magnification of the final image, we can use the lens formula and magnification formula for each lens separately and then combine them.
Given:
Object height (h) = 2.78 cm
Object distance from the diverging lens (u1) = -26.3 cm (negative sign indicates the object is in front of the lens)
Focal length of the diverging lens (f1) = -16.9 cm (negative sign indicates a diverging lens)
Focal length of the converging lens (f2) = 20.2 cm
Distance between the lenses (d) = 3.58 cm
For the diverging lens:
Using the lens formula: 1/f1 = 1/v1 - 1/u1, where v1 is the image distance from the diverging lens
1/(-16.9) = 1/v1 - 1/(-26.3)
Solving this equation will give us the image distance v1.
For the converging lens:
The image distance from the diverging lens becomes the object distance for the converging lens.
Object distance from the converging lens (u2) = -v1
Using the lens formula: 1/f2 = 1/v2 - 1/u2, where v2 is the final image distance from the converging lens
1/20.2 = 1/v2 - 1/(-v1 - 3.58)
Solving this equation will give us the final image distance v2.
The magnification of each lens can be calculated using the formula:
Magnification (magnification1) = -v1/u1
Magnification (magnification2) = -v2/u2
To find the magnification of the final image, we multiply the magnifications of each lens together:
Magnification of final image (magnification_final) = magnification1 * magnification2
Calculate the values of v1, v2, magnification1, magnification2, and magnification_final using the given formulas and the provided values. Once you have the numerical values, take the absolute value of the magnification_final to obtain the final answer.
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Would the numerical values of the thermal coefficients would have been the same if the temperatures had been measured in Fahrenheit instead of Celsius
The numerical values of the thermal coefficients would change if the temperatures had been measured in Fahrenheit instead of Celsius.
Why would the numerical values of thermal coefficients change if the temperature is measured in Fahrenheit instead of Celsius?The amount it expands is, of course, a property of the material and cannot be altered. When we use alternative units of measurement, though, we communicate this differently. It will therefore be 9/5 of its value in "per degree C" if it is stated as "per degree F".For example:Saying the speed of light is 299792458 m/s, or 186282.397 miles per second, is equivalent. The representation alters but not the speed of light.What is the Coefficient of thermal expansion?The rate at which a material expands as temperature rises is known as the coefficient of thermal expansion (CTE). The material is assumed to still be in its solid or fluid form as this coefficient is calculated at constant pressure and without a phase transition.A material will expand more in response to heat if its coefficient of thermal expansion is higher.T o learn more about thermal coefficients visit:
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Which definition of a compression is correct?
Compression is the term for the reduction in volume that stress causes in any object or material. Living systems as well as solids, liquids, and gases may all endure compression. For example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the standard for deep-sea fishes and similar specialized forms is the normal pressure of their environment. In the latter, compression is measured against the system's volume at the standard pressure to which an organism is subjected.
Question # 6
Multiple Choice
Which of the following explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably
choose NOT to participate in contract production?
O Because he independently grows a unique product, he is already locked in to the best price of the market.
He operates as a price-taker, that so there is no need to contract.
His rare commodity offers an increased cash flow and an expansion of operation.
As a seller of a rare commodity he is in a position to negotiate higher prices than commodity food producers.
The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).
What is contract manufacturing?Contract manufacturing or production occurs when a small business hires another company to produce its products.
This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.
However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.
Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.
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A vendor hangs an 8.0 kg sign in front of his shop with a cable held away from the building by a lightweight pole. The pole is free to pivot about the end where it touches the wall, as shown in (Figure 1).
The tension in the cable is 156.8 N.
What's the weight of the sign board?Weight of the sign board is mass × acceleration due to gravity
= 8 × 9.8 = 78.4 N
What's the vertical component of tension in the string or along the opposite direction of weight?If T is the tension in the string, T× cos 60° is the vertical component of it.
What's the tension in the string?As the vertical component of the string is along opposite to the weight of the sign board, so weight= T× cos 60°T= 78.4/cos 60° = 156.8 N.Thus, we can conclude that the tension in the cable is 156.8 N.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: A vendor hangs an 8.0 kg sign in front of his shop with a cable held away from the building by lightweight pole. The pole is free to pivot about the end where it touches the wall. What is the tension in the cable?
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And instead of tolling the bell, for church, our little sexton – sings. what is the most likely reason for the poet to oppose the phrases "tolling the bell" and "sings" in these lines? the poet is expressing her belief that the second, more natural option is far more desirable than the first option. the poet is hinting that religious worship should be considered a gloomy and serious activity. the poet is suggesting that those who worship in nature are more formal than those who worship in church. the poet is contrasting her attitude about religion with her feelings about the natural world, which remains largely unappreciated.
The poet is expressing her belief that the second, more natural option is far more desirable than the first option.
What is the summary of some keep the sabbath going to church?Some hold the Sabbath going to Church is set faith and meditation.
The poem explores the idea of spiritual practices in Christianity.
It additionally illustrates the speaker's angle in the direction of those practices.
According to this, it's far obligatory to put on a surplice even as attending church services.
While she wears her casual get dressed and prays to God, Some hold the Sabbath going to Church –' is one in every of Emily Dickinson's best-recognized poems.
It functions her aim to are seeking for salvation without resorting to the traditional means.
hence,
The most likely reason for the poet to oppose the phrases "tolling the bell" and "sings" in these lines is the poet is expressing her belief that the second, more natural option is far more desirable than the first option.
Thus, option "A" is correct.
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Answer:
(A)The poet is expressing her belief that the second, more natural option is far more desirable than the first option.
How stars are twinkling in the sky?
Answer:
As light from a star races through our atmosphere, it bounces and bumps through the different layers, bending the light before you see it. Since the hot and cold layers of air keep moving, the bending of the light changes too, which causes the star's appearance to wobble or twinkle.
For elevator questions, does the weight of a person increase when the elevator is going up or if it's going down-
The weight of a person increase when the elevator is going up.
Weight of the person in the elevator
The weight of the person in the elevator is calculated as follows;
When the person is going upF = ma + mg
F = m(a + g)
where;
a is acceleration of the persong is acceleration due to gravityWhen the person is going downF = mg - ma
F = m(g - a)
Thus, the weight of a person increase when the elevator is going up.
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13. Which compound is most reactive?
ethene
ethyne
ethane
Answer:
Ethyne consists of a triple bond that is most easier to be broken as compared to that of ethyne with a double bond and benzene single bonds. Therefore ethyne is most reactive among the given options.
Explanation:
Answer: Ethyne
Explanation:
Calculate the net force on particle q1. First, find the direction of the force particle q2 is exerting on particle q1. Is it pushing to the right, or to the left?
The net force on particle particle q1 is 13.06 N towards the left.
Force on q1 due to q2
F(12) = kq₁q₂/r₂
F(12) = (9 x 10⁹ x 13 x 10⁻⁶ x 7.7 x 10⁻⁶)/(0.25²)
F(12) = -14.41 N (towards left)
Force on q1 due to q3F(13) = (9 x 10⁹ x 7.7 x 10⁻⁶ x 5.9 x 10⁻⁶)/(0.55²)
F(13) = 1.352 N (towards right)
Net force on q1F(net) = 1.352 N - 14.41 N
F(net) = -13.06 N
Thus, the net force on particle particle q1 is 13.06 N towards the left.
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Answer:
its +
Explanation:
A generator coil is rotated one quarter of a full revolution, from θ = 0° to θ = 90°,
in 13.2 ms. The coil has 353 loops, and it is a square 4.62 cm on a side. If the coil
is in a uniform magnetic field of 0.991 T, what is the maximum electromotive force
induced in the coil by the generator?
The maximum electromotive force induced in the coil by the generator is 56.45 V.
Maximum electromotive force induced in the coil
emf(max) = NAB/t
where;
N is number of turnsA is areaB is magnetic fieldt is timeSubstitute the given parameter and solve for maximum electromotive force induced in the coil.
Area of the loop = 0.0462 m x 0.0462 m = 0.00213 m²
emf(max) = (353 x 0.00213 x 0.991) / (13.2 x 10⁻³)
emf(max) = 56.45 V
Thus, the maximum electromotive force induced in the coil by the generator is 56.45 V.
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What tool would be used to find the weight of a ballon that is filled with water is it a. graduated cylinder b. metric ruler c. spring scale d. thermometer
Spring scale or a spring balance is a type of measuring device that is used to measure the weight of the object.
Spring scale can be defined as:
Spring balance is also known as the newton meter, which consists of a spring fixed at one end to a hook. The hook bears the weight of the object and marks on the measuring scale. The weight of the balloon can be measured with the spring scale. The balloon can be tied to the hook of the balance, and the weight it carries is shown on the measuring scale.Thermometer issued to measure the heat, graduated cylinder is used in labs to calculate the volume of a substance in milliliters, and metric ruler issued to measure the length of the object in centimeters.When was the first spring scale made?Richard Slater of Bilston, somewhere near Wolverhampton, invented the first spring scale in Britain around 1770. He founded the George Salter & Co. company with his nephews George and John, which is still a significant manufacturer of balances and scales.Learn more about spring balance in:
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mechanical equivalent of heat Do the data for the second part of the experiment support or refute the second hypothesis
When we state something about the results on the basis whether the observed data supports the original hypothesis, we say that we are concluding the results.
What is the relationship between force and acceleration based on Newton's 2nd law?
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
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Find the location of the object at times 0,1,2,. 1,000. Save the x-coordinates of the object at each time in a 1 ×1001 row vector named a11. Save t
The x-coordinates of the object at each time in a 1 ×1001 row vector named a11 using coordinate.
Coordinates are distances or angles, represented by numbers, that uniquely perceive factors on surfaces of dimensions (second) or in space of 3 dimensions.
Coordinates are hard and fast values that help to expose the exact position of a factor within the coordinated aircraft. A coordinate aircraft is a 2nd plane that's shaped by the intersection of perpendicular traces known as the x-axis and y-axis.
clear all
close all
alpha=-0.003;
w=0.05;
A=[1-alpha,-w;w,1-alpha];
A_inv=inv(A);
x0=[1;-1];
ans1=[1];
ans2=[-1];
for i=1:1000
x0=A_inv*x0;
ans1(i+1)=x0(1);
ans2(i+1)=x0(2);
end
ans1
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A 16.0 kg crate rests on a shelf 1.80 m above the floor in a warehouse. A forklift is used to raise the crate to a shelf 3.30 m above the warehouse floor. What is the increase in potential energy of the crate?
Group of answer choices
a. 240 J
b. 250 J
c. 230 J
d. 260 J
A 16.0 kg crate increases in height from 1.80 m to 3.30 m above the floor. The increase in potential energy is 240 J (a).
What is potential energy?It is the energy due to the position.
A 16.0 kg (m) crate rests on a shelf 1.80 m (h₁) above the floor in a warehouse. The potential energy is:
U₁ = m × g × h₁ = 16.0 kg × (9.81 m/s²) × 1.80 m = 283 J
A forklift is used to raise the crate to a shelf 3.30 m (h₂) above the warehouse floor. The potential energy is:
U₂ = m × g × h₂ = 16.0 kg × (9.81 m/s²) × 3.30 m = 518 J
The increase in the potential energy is:
518 J - 283 J = 235 J ≈ 240 J
A 16.0 kg crate increases in height from 1.80 m to 3.30 m above the floor. The increase in potential energy is 240 J (a).
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A 7.7 V power supply is connected to a 79 Ohm resistor and a 87 Ohm resistor in parallel. What is the total current through the circuit? Round your answer to 2 decimal places.
The total current through the circuit is 0. 19A
How to determine the currentWe have the formula for power to be;
Current, I = V/R
Voltage = 7. 7V
Resistance in parallel = R1R2/ R1 + r2
Resistance in parallel = [tex]\frac{79 * 87}{87 + 79}[/tex] = [tex]\frac{6873}{166}[/tex] = 41. 40 Ohms
Current = [tex]\frac{7. 7}{41. 40}[/tex] = 0. 19 A
Thus, the total current through the circuit is 0. 19A
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A boy moves down a waterslide from a height of 10 meters. what is his velocity when he hits the water at the bottom of the slide?
The velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
Velocity of the boy at the bottom of the slide
The velocity of the boy when he hits the water at the bottom of the slide is calculated from the principle of conservation of energy.
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
h is height of the boyg is acceleration due to gravityv = √(2 x 9.8 x 10)
v = 14 m/s.
Thus, the velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
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Which mineral property is the least useful for identifying minerals, and why?
(d) A force of 30 N is required to accelerate a skateboard at 1.5 m/s². How much force
would accelerate the same skateboard at 6.0 m/s²?
Answer:
[tex]\huge\boxed{\sf F = 120\ N}[/tex]
Explanation:
Firstly, we need to find the mass of the skateboard.
Using formula:
F = maWhere,
Force = f = 30 NAcceleration = a = 1.5 m/s²30 = m (1.5)
Divide 1.5 to both sides
30/1.5 kg = m
20 kg = m
m = 20 kgNow, finding the force:Using the same formula.
F = maWhere,
mass = m = 20 kgAcceleration = a = 6 m/s²F = (20)(6)
F = 120 N[tex]\rule[225]{225}{2}[/tex]
iron mining in south africa
Answer:
In 2021, South Africa's production of iron ore amounted to an estimated 61 million metric tons. South Africa is one of the world's largest producers of iron ore. As of 2021, South Africa was the ninth-largest iron ore producing country in the world.an engine has capacity of doing 20000j one work per minute.What is the power of the engine
Answer:
[tex]\huge\boxed{\sf P = 333.33 \ Watts}[/tex]
Explanation:
Given data:Work = W = 20,000 Joules
Time = t = 1 minute = 60 seconds
Required:Power = P = ?
Formula:[tex]\displaystyle \boxed{P =\frac{W}{t} }[/tex]
Solution:Substitute the givens in the above formula
[tex]\displaystyle P =\frac{20,000}{60} \\\\P = 333.33 \ Watts\\\\\rule[225]{225}{2}[/tex]
Answer:
333.33watt
Explanation:
power=work/time
where:- time=1mins=60sec
work=20000joules
power=20000/60
=333.33watt
Which of the following is an example of a primary source?
Answer:
An article written by a scientist .
Explanation:
Primary sources information are those that contain first hand information probably from the place of the activities or by the original contact of the information (source ) .
So primary information is normally contained in artifact , journals , letter , dissertations manuscripts , videos and audio recordings .
The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .
A star is moving toward the earth at 250 km/s. What can you say about the wavelength of the h-alpha absorption line that you would detect in the star's spectrum?
The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 * [tex]10^{-2}[/tex] nm
If the object is moving towards or away from us with some radial velocity, shifts can be observed in the location of the absorption
since, material is moving towards us a shift to shorter wavelength will be observed
shift = rest wavelength * ( radial velocity / speed of light )
= 656 * [tex]10^{-9}[/tex] * (250 * [tex]10^{3}[/tex] / 3 * [tex]10^{8}[/tex] )
= 54.67 * [tex]10^{-2}[/tex] nm
The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 * [tex]10^{-2}[/tex] nm
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A mass m is attached to an ideal massless spring. When this system is set in motion with amplitude a, it has a period t. What is the period if the amplitude of the motion is increased to 2a?.
The period remains the same if the amplitude of the motion is increased to 2a
What is Time period?
The time period is the time taken by a complete cycle of the wave to pass a point.
The equation of the period for spring is:
[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]
Where,
Time period = T
mass of system = M
k is the spring constant
Amplitude of the motion is a
From the equation we can say that,
The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.
Now if we increase the amplitude of the motion to 2a, the period of time remains the same.
Because the time period is not dependent on amplitude, it is independent of a.
Hence,
The period remains the same if the amplitude of the motion is increased to 2a.
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When recording physical findings, which data are recorded first for all systems?
When recording physical findings, which data are recorded first for all systems: Inspection.
The definition of physical is things that are of nature or of the body. An example of physical is plantlife growing in the ground. An example of physical is someone confined to a wheelchair because of disabilities. physical indicates connected with, pertaining to, the animal or human body as a material organism.
Physical health is defined as the condition of your body, taking into consideration everything from the absence of disease to fitness level.
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Russia shut off the nord stream pipeline that supplies which nation with natural gas?.
Russia shut off the Nord Stream pipeline that supplies natural gas to Germany.
What is the Nord Stream pipeline?
A pair of offshore natural gas pipeline systems in Europe called Nord Stream cross the Baltic Sea from Russia to Germany. It consists of the Nord Stream 1 and Nord Stream 2 pipelines, both of which originate in northwest Russia, near Finland, in Vyborg and Ust-Luga, respectively. Both pipelines travel to Lubmin in the Mecklenburg-Vorpommern state of northeastern Germany.
Due to Russia's invasion of Ukraine, certification for Nord Stream 2 has been rejected. When referring to a larger network of pipelines, such as the feeding onshore pipeline in Russia and additional connections in Western Europe, the term "Nord Stream" is sometimes used.
Nord Stream joins the NEL pipeline to Rehden near Bremen in northwestern Germany and the OPAL pipeline to Olbernhau in eastern Germany at the Czech border in Lubmin.
Thus, the Nord Stream pipeline supplies natural gas to Germany.
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A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will
The distance between the fringes (y) will decrease.
What is meant by double slit?
In the double-slit experiment, a beam of light is aimed at a barrier with two vertical slits. After the light passes through the slits, the resulting pattern is recorded on a photographic plate. When one slit is covered, a single line of light is displayed, aligned with whichever slit is open.To solve this problem it is necessary to apply the concepts related to double split conditions. The equation describing this effect is given by
dsinθ = mλ
λ = dsinθ /m
λ = wavelength
d= distance between slits
m = Any integer, representing the repetitions of the spectrum
If θ is small, then sinθ = y/L and the previous equation can be given as
λ = dy /mL
L = Length from screen with slits
y = distance between fringes
From this last equation we can realize that if the separation between the openings (d) is increased, the distance between the fringes (y) will decrease.
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What is the voltage drop across the 10.0 ohm resistor?
The voltage drop across the 10.0 Ω resistor is c)120V
What is voltage drop in a circuit?A voltage drop is an amount the voltage lowers when crossing a component from the negative side to the positive side in a series circuit. If you positioned a multimeter across a resistor, the voltage drop would be the quantity of voltage you are reading.
Voltage drop is the reduction of electrical potential along the way of a present flowing in an electrical circuit.since, all three resistors 10Ω, 20 Ω, and 30Ω are in series combination this indicates that the voltage drop across each resistor will be the same as the total voltage drop in the circuit because in parallel combination voltage stay identical in the circuit buy current gets divided in each branchhence, the voltage drop across the 10.0 Ω resistor = 120 V
correct answer c) 120 V
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The Earth's escape speed (the speed you need to get away forever) is about 40,000 kilometers per hour. Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. Based on your understanding of gravity, how will the escape speed from the Moon compare to the escape speed from Earth
The Moon s escape speed will be smaller than Earth's.
What is escape speed:The minimum speed that is required for an object to free itself from the gravitational force exerted by a massive object.
The formula of escape speed is
[tex]v = \sqrt{\frac{2GM}{R} }[/tex]where
v is escape velocity
G is universal gravitational constant
M is mass of the body to be escaped from
r is distance from the center of the mass
we can say that,
Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping.
we know that,
The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second.
since, v ∝ g
The Moon s escape speed will be smaller than Earth's.
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What is the formula of the force??
F = ma
☆...hope this helps...☆
_♡_mashi_♡_
Answer:
F = MA
Force (Newtons) = Mass (Kilograms) x Acceleration (m/s^2)
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An RL series circuit is connected to an ac generator with a maximum emf of 20 V. If the maximum potential difference across the resistor is 16 V, then the maximum potential difference across the inductor is:
If the maximum emf of the ac generator is 20 V and the maximum potential difference across the resistor is 16 V Then the maximum potential difference across the inductor is 4 V.
Calculation:
Step-1:
It is given that the RL circuit is connected to a 20 V ac generator. The maximum potential difference across the resistor is 16 V. It is required to find the maximum potential drop across the inductor.
Step-2:
The maximum emf of the generator is equal to the sum of the maximum potential difference across the resistor and the maximum potential difference across the inductor.
Therefore,
The maximum potential difference across the inductor + Maximum maximum potential difference across the resistor = Maximum emf of the generator
Thus,
Maximum maximum potential difference across the inductor + 16 V = 20 V
Therefore,
Maximum maximum potential difference across the inductor = 20 V - 16 V = 4 V
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