To find the energy needed to increase the temperature of 755 g of iron from 283 K to 403 K, we use the specific heat capacity of iron (0.449 J/g °C) and the formula q = mcΔT. After converting the temperatures to Celsius, the calculation shows that 40,714 joules of energy is required.
Explanation:The question asks how much energy is required to increase the temperature of a specific mass of iron. The calculation involves using the formula for heat energy, which is q = mcΔT. The specific heat (c) of iron, the mass (m) of the iron object, and the change in temperature (ΔT) are required to find the total amount of energy needed.
To calculate the energy needed to increase the temperature of 755 g of iron from 283 K to 403 K, we use the specific heat capacity of iron, which is given as 0.449 J/g °C in a comparable example. First, we convert the temperatures from Kelvin to Celsius by subtracting 273 from both temperatures. This gives us a starting temperature of 10 °C and an ending temperature of 130 °C. The change in temperature is then 130 °C - 10 °C = 120 °C.
Using the formula q = mcΔT, where
m = 755 g (mass of iron),
c = 0.449 J/g °C (specific heat capacity of iron),
ΔT = 120 °C (change in temperature),
we can calculate the energy required as:
q = (755 g) x (0.449 J/g °C) x (120 °C) = 40,714 J
This means that 40,714 joules of energy is needed to increase the temperature of 755 g of iron from 283 K to 403 K.
If the batteries in a portable cd player provide a terminal voltage of 12.0 v, what is the potential difference across the entire cd player?
When 108 grams of water at a temperature of 22.5c is mixed with 65.1 grams of water at an unknown temperature, the final temperature of the resulting mixture is 47.9c. what was the temperature of the other sample of water?
Final answer:
To determine the initial temperature of the 65.1 grams of water, the concept of heat transfer is applied, utilizing the formula q = mcΔT and setting the heat lost by the 108g water equal to the heat gained by the 65.1g water.
Explanation:
To find the initial temperature of the 65.1 grams of water before mixing, we can use the concept of heat transfer and the principle that the total heat lost by the warmer substance is equal to the total heat gained by the cooler substance. The formula for calculating heat (q) is q = mcΔT, where m is the mass in grams, c is the specific heat capacity (for water, c = 4.18 J/g°C), and ΔT is the change in temperature.
For the 108 grams of water cooling down: q = (108g)(4.18 J/g°C)(47.9°C - 22.5°C).
For the 65.1 grams of water heating up: q = (65.1g)(4.18 J/g°C)(47.9°C - T), where T is the initial temperature of the 65.1g water sample.
By setting the heat lost by the 108g water equal to the heat gained by the 65.1g water and solving for T, the initial temperature of the 65.1 grams of water can be determined.
After calculations, the initial temperature of the unknown sample of water is determined to be 90.01°C.
To find the unknown temperature of the 65.1 grams of water, we need to apply the principle of conservation of energy. The heat gained by the 108 grams of water at 22.5°C must equal the heat lost by the 65.1 grams of water at the unknown temperature.
Using the formula for heat transfer:
Q = mcΔT,
where:
Q is the heat absorbed or released,m is the mass,c is the specific heat capacity (for water, c = 4.18 J/g°C), andΔT is the change in temperature.Step-by-Step Calculation:
Calculate the heat gained by the 108 g of water:
Q_gained = (108 g) * (4.18 J/g°C) * (47.9°C - 22.5°C).
Q_gained = 108 g * 4.18 J/g°C * 25.4°C = 11472.912 J.
Let T be the initial temperature of the 65.1 g of water. Calculate the heat lost by this water:
Q_lost = (65.1 g) * (4.18 J/g°C) * (T - 47.9°C).
Since heat gained = heat lost, set Q_gained equal to Q_lost:
11472.912 J = (65.1 g) * (4.18 J/g°C) * (T - 47.9°C).
Solve for T:
11472.912 J = 272.418 J/°C * (T - 47.9°C).
11472.912 J / 272.418 J/°C = T - 47.9°C.
42.11°C = T - 47.9°C.
T = 42.11°C + 47.9°C.
T = 90.01°C.
Therefore, the temperature of the other sample of water was 90.01°C.
What kind of lenses are in a light microscope
Light microscopes use glass or plastic lenses to magnify specimens, consisting of an objective lens and an eyepiece. They can magnify up to 2000 times, but the resulting image is upside-down and reversed. Staining may be required for transparent cell components, although this often kills the cells.
Explanation:The lenses found in a light microscope are typically made of glass or plastic and are designed to focus light on the specimen to produce an image. The most basic type is the compound microscope which consists of two main types of glass lenses: the objective lens and the eyepiece or ocular lens. The objective lens, which is near the specimen, often has a range of magnification powers from 5x to 100x. These objective lenses are usually parfocal, meaning they are set up so that the sample remains in focus when the objectives are switched. The eyepiece then further magnifies this image. Together, these lenses allow for a significant magnification of the specimen, causing an upside-down and reversed image due to the nature of the optics involved. Light microscopes are commonly used because they are suitable for viewing living organisms, but sometimes staining is necessary to make transparent cell components visible, which usually results in the death of the cells.
Compared with the peak wavelength given off by the Sun, what ls the peak wavelongth given off by a hotter star?
The motor of a crane uses power p to lift a steel beam. by what factor must the motor's power increase to lift the beam twice as high in half the time?
The power factor required to lift the beam twice as high in half the original time is : 4
Given that :
Power ( P ) = Work done / time -- ( 1 )
Also work done for a lifted load
Work done = mgh ( mass * gravity * height )
Back to equation ( 1 )
Power ( p ) = mgh / time --- ( 2 )
Considering the conditions given
When; h = 2 * h and t = 1/2 * t
Power becomes
New Power = m*g*2h / 1/2* t
= 4( m*g*h / 2
Therefore we can conclude that The power factor required to lift the beam twice as high in half the original time is : 4.
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A cyclist rides her bike 7 mi east, and then 2 mi north before taking a break. Then she rides 5 mi east and then 3 mi north. What are the magnitude and direction of the cyclist’s resultant displacement?
magnitude: 13.0 mi; direction: 22.6° north of east
magnitude: 13.0 mi; direction: 67.4° north of east
magnitude: 10.9 mi; direction: 67.4° north of east
The car below emits sound waves, represented by red circles, that are heard by an observer. based on the pattern of sound waves, what is the direction and speed of the car?
Answer: Away from the observer, faster than the speed of sound.
Based on the pattern of sound waves, the direction of the car is away from the observer for the wave fronts have spaced out and the speed of the car is faster than the sound. This happen because a lower frequency of wave peaks is observe as the source of the sound travels away from the observer.
Answer:
The answer is C
Explanation:
A circuit consisting of a 140 µF capacitor in series with a 2 MΩ resistor is connected across a 6 V battery. What is the time constant of the circuit? Answer in units of s.
How does modern technology use electromagnets?
There are various uses of electromagnets in modern technology.
The first and very recent use of electromagnet is magnetic levitation train. Here strong electromagnets are used by which the magnetic levitation of train and its propulsion become possible.
The second use of electromagnet is lifting heavy plates of magnetic metals from shore to the ship.
The electromagnets are also used in various kinds of electric devices like speakers,generators,motors and hard disk drivers etc. In electric bells,the electromagnetic coils are used which helps in striking the bell.
The electromagnets are also used in casa of cyclotron. In case of cyclotron,strong electromagnetic dees are present which plays a crucial role in accelerating the charged particle.
which describes the relationship between photon energy and frequency?
high energy photons have high frequencies hope this helps brother
in a solution of seawater water is the solute true or false??
The electron has the positron as its antiparticle
a. True
b. False
True
electron has negative charge on it. the antiparticle has the same amount of charge on it but of opposite polarity. hence the antiparticle must have positive charge on it. positron has positive charge on it having same magnitude as that on the electron. hence the above statement is true.
How does the elbow medical and lateral epicondylitis?
A car moved a total distance of 120 km in 90 minutes. What was the speed of the car?
Answer:
80 km/hr
Explanation:
We are given that
Total distance covered by the car=120 Km
Time taken by the car=90 minutes=[tex]\frac{90}{60}=1.5 hour[/tex]
We have to find the speed of the car
We know that Speed=[tex]\frac{Distance}{time}[/tex]
Substitute the value then, we get
Speed=[tex]\frac{120}{1.5}=80 Km per hour[/tex]
Hence, the speed of the car=80 km per hour.
In the circuit seen here, the resistor has a resistance of 3 ohms. If no change in the battery size occurs, what will happen to the current if the resistance increases to 6 ohms?
it decreases by a factor of 2
In a series circuit, the resistors are arranged in a series and where, the current is inversely proportional to the resistance. Thus when resistance is increased to 6 ohm current will decreases to half.
What is resistance?Resistance is a physical quantity and is the measure of resistance to the current. It has a unit called Ohm. The device which is used to measure the resistance in a circuit is called a resistor.
According to Ohm's law, the product of current and resistance in a circuit is the voltage or potential difference in the circuit V.
I.e., V = I R.
As per this relation it is clear that the resistance and current in a circuit are in inverse proportionality. Therefore we have the equation relation them as:
I1/ I2 = R2/ R1
It is given that the initial resistance of 3 ohm increased to 6 ohm. Thus current will decrease there to half since resistance is increase to double.
Therefore, current will reduces to half of its initial value.
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When astronomers observe the spectra of distant galaxies,they notice that the hydrogen emission lines are shifted noticeably toward the red end of the visual spectrum,a phenomenon called red shift. Red is lowest frequency of visible light. What does red shift indicate about the movement of the distant galaxies?
A redshift in the spectra of distant galaxies indicates that these galaxies are moving away from us due to the expansion of the universe. This discovery by Edwin Hubble has given astronomers a way to determine the distance of galaxies and observe the universe's evolution and age.
Explanation:The redshift observed in the spectra of distant galaxies indicates that these galaxies are moving away from us. This is a result of the Doppler Effect, a phenomenon that causes a wave's frequency to appear different than its original frequency due to the relative motion of the source and observer. The higher the redshift - the more the hydrogen emission lines are displaced to the red end of the spectra - the faster the galaxies are receding.
In 1929, astronomer Edwin Hubble observed this redshift and found it was proportional to the galaxies' distance from us, which led him to conclude that the universe is expanding. This means not only are galaxies moving away from us, but the space within the universe itself is increasingly getting larger.
This discovery has offered astronomers crucial insights into the age and evolution of the universe. The amount of redshift can be used to determine the distance to a galaxy, and consequently, looking at the redshifted light enables astronomers to 'look back' in time and see the state of the universe billions of years ago.
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If continental crust were thinner than its average thickness of 40 km, would it depress the mantle more or less than it does now? Explain.
If the continental crust were thinner, it would depress the mantle less because of the reduced mass above the mantle, leading to less displacement below.
If the continental crust were thinner than its average thickness of 40 km, it would depress the mantle less than it does now. This is because the Earth's crust and mantle are in a state of isostatic equilibrium, which is similar to floating objects on a fluid, where less material above results in less displacement below. The continental crust is thicker and less dense compared to the oceanic crust, which allows it to float higher above the mantle. When the crust is loaded with additional weight, such as through mountain building or glaciation, it depresses further into the mantle due to the added mass. Conversely, if the continental crust were thinner, there would be less mass pushing down on the mantle, leading to a reduced depression of the crust into the mantle.
CAN ANYONE HELP ME WITH A FEW PROJECTS THEY ARE DUE TONIGHT AND I'M STRUGGLING, PLZ HELP
Tara's cell phone plan costs $39.00 a month, which includes 100 text messages. After she uses all of her text messages, it will cost her $.15 per text message
Light goes from flint glass into ethanol. the angle of refraction in the ethanol is 25.6 ◦ , the index of refraction for flint glass is 1.61, and the index of refraction for ethanol is 1.36. what is the angle of incidence in the glass? answer in units of ◦ .
The angle of incidence can be solved by using Snell's law of refraction as follows: θ1 = arcsin[(n2*sin(θ2)) / n1], which when calculating, provides the angle of incidence.
Explanation:The problem presented in the question can be solved using Snell's Law of refraction. Snell's law is defined as n1*sin(θ1) = n2*sin(θ2), where n1 and n2 are the indices of refraction, and θ1 and θ2 are the angles of incidence and refraction, respectively.
From the given data in the problem we know that n1 = 1.61 (flint glass), n2 = 1.36 (ethanol), and θ2 = 25.6°. What we want to find is θ1 (angle of incidence in glass).
First, rearrange Snell's law to solve for θ1. θ1 = arcsin[(n2*sin(θ2)) / n1]. By substituting the known values, we find θ1 = arcsin[(1.36 * sin(25.6°)) / 1.61].
By calculating this expression, we would obtain the angle of incidence in the glass in degrees.
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What must Lauren do to make her sugar cube dissolve quicker than Matt and Erin?
In the graph, a sample of water is heated from 40 degrees Celsius to 100 degrees Celsius. Which statement correctly describes the curve?
A) QR- liquid only
RS- phase change liquid-gas
ST- gas only
B) QR- liquid only
RS- phase change liquid-solid
ST- solid only
C) QR- solid only
RS- phase change solid-liquid
ST- liquid only
D) QR- phase change solid-liquid
RS- liquid only
ST- phase change liquid-gas
Answer:
The statement that correctly describes the curve is : ( A )
QR - liquid only RS - phase change liquid-gasST - gas only Phase changeGiven that the temperature is at 40 degrees the water is at its liquid state while at the plateau stage ( RS ) the liquid water changes its state to gaseous. At curve ST when the temperature ≥ 100 degree the state of the sample of water becomes gas only.
Hence we can conclude that the statement that describes the curve is statement A
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How does Coulomb's Law and electric charge cause your hair to stand on edge when it is really dry outside and you walk across the carpet?
This is junior year english
If it takes a cheetah 0.25 seconds to go from 10m/s to 15 m/s what is the cheetahs acceleration
The acceleration of the cheetah going from 10 m/s to 15 m/s in 0.25 seconds is 20 m/s², calculated using the acceleration formula a = Δv / Δt.
You want to know the acceleration of a cheetah that goes from 10 m/s to 15 m/s in 0.25 seconds. To calculate the acceleration, you can use the formula:
a = Δv / Δt
Where a represents acceleration, Δv is the change in velocity, and Δt is the change in time. In this case:
Δv = 15 m/s - 10 m/s = 5 m/s
Δt = 0.25 s
Now, plug these values into the formula:
a = 5 m/s / 0.25 s
a = 20 m/s²
So, the cheetah's acceleration is 20 m/s². This is a straightforward example of calculating linear acceleration.
In what ways are Terrestrial planets different from Jovian planets?
Equus caballus is the scientific name for a domestic horse. Equus zebra is the scientific name for a zebra. Which of the following statements is true?
1. The domestic horse belongs to the Equus order.
2. The domestic horse belongs to the caballus genus.
3. The zebra and domestic horse belong to the same species.
4. The zebra and domestic horse belong to the same genus.
Answer:
The zebra and domestic horse belong to the same genus.
Explanation:
Did on odyssey
How far does light travel in the time it takes sound to travel 1 cm in air at 20°c?
Final answer:
The distance light travels in the time it takes sound to travel 1 cm in air at 20°C is approximately 8.75 × 10^5 cm.
Explanation:
The speed of sound in air can be approximated using the formula v = 331.4 m/s + 0.6T, where T is the temperature of the air in Celsius. At 20°C, the speed of sound is approximately 343 m/s. To find the distance light travels in the time it takes sound to travel 1 cm in air at 20°C, we can set up a proportion.
If sound travels 1 cm in air at a speed of 343 m/s, we can set up the following proportion:
343 m/s / 1 cm = c / x
where c is the speed of light and x is the distance light travels in the same time. Solving for x, we find:
x = (1 cm) * (c / 343 m/s)
Substituting the speed of light c = 3.0 × 10^8 m/s, we can calculate the distance light travels:
x = (1 cm) * (3.0 × 10^8 m/s / 343 m/s)
x ≈ 8.75 × 10^5 cm
A car is travelling at 20 km/hr.It speeds upto 60 km/hr in 6 seconds.What is its acceleration?
A block slides down a rough ramp with a 30-degree incline as shown.
The question involves a block sliding down a 30-degree incline, where the forces of gravity, normal force, and friction are in effect. The acceleration of the block can be determined by taking into account all the forces acting on it. This is a topic in Physics, typically studied at the high school level.
Explanation:In the described scenario, a block is sliding down a rough ramp inclined at 30 degrees. This topic falls under the area of Physics, specifically in the study of friction and forces. The forces at play in this situation are gravity, normal force, and frictional force. When a block slides down an inclined plane, the force of gravity is divided into two components. The component parallel to the ramp, mg sin θ, acts downwards and is opposed by the force of friction.
The frictional force is determined by multiplying the normal force by the coefficient of friction (μ). This could be represented as F = μN, where F is the frictional slide and N is the normal force. The block's acceleration depends on the net force acting on it, considering all the forces at play.
In this particular situation, where there's a known coefficient of friction of 0.20 and given gravitational and normal forces are 40 N, you can use these values, along with the angle of the ramp, to find the acceleration of the block using formulae from physics.
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A block sliding down a rough incline experiences forces from gravity, friction, and normal force. Friction opposes the motion, reducing the acceleration the block would have on a frictionless slope. The acceleration can be calculated from the incline angle and friction coefficient.
Explanation:The question deals with the physics of a block sliding down a rough, incline plane. When a block is sliding down an inclined plane, there are several forces at play. The gravitational force pulls the block downwards, the normal force counters this directly perpendicular to the slope, and friction acts to oppose the motion of the block. The coefficient of friction between the block and the incline plays a crucial role in the block's acceleration down the incline.
The acceleration of the block can be calculated using the formula a = g sin θ, where g is acceleration due to gravity and θ is the incline angle. However, this applies when there's negligible friction. If friction is involved, it reduces the acceleration from this value. The acceleration on an incline where there is friction can be calculated with the equation ax = g sin θ - μk g cos θ, where μk is the coefficient of kinetic friction.
Using the equation above, you can calculate acceleration if you are given the friction coefficient and the incline's angle. However, if you're given the acceleration and either the incline angle or friction coefficient, you can rearrange the equation to calculate the missing variable, helping you gain more understanding about the impacts of the slope and friction.
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