The combined speed after the inelastic collision is equal to 0.75 v.
What is inelastic Collision?An inelastic collision can be described as a type of collision that occurs between two objects in which some energy is lost. In the case of inelastic collision, momentum remains conserved but the kinetic energy will not be conserved.
Given, the mass of cart A, m₁ = 3 m
The mass of the cart B, m₂= m
The initial speed of cart A, u₁ = v
The initial speed of cart B, u₂ = 0
After the inelastic collision the momentum will remain conserved:
m₁.u₁ + m₂u₂ = m₁.v₁ + m₂ v₂
3m × v + m ×0 = (3m + m)× V
V = 3mv/4m
V = 0.75 v
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water falls without splashing at a rate of 0.250 l/s from a height of 2.60 m into a 0.750-kg bucket on a scale. if the bucket is originally empty, what does the scale read in newtons 3.00 s after water
Water falls at a flow rate of 0.250 l/s into a 0.750-kg bucket on a scale. After 3 seconds, the weight shown on the scale is 14.7 N
The relation between the accumulated volume and the volume flow rate is given by:
V = Q x t
Where:
V = accumulated volume of water
Q = volume flow rate
t = time period
In the given problem:
Q = 0.25 l/s
t = 3 s
Hence,
V = Q x t = 0.25 x 3 = 0.75 liter
The density of the water is 1 kg per liter, therefore 0.75 liter of water is equal to 0.75 kg of water.
Total mass on the scale = mass of water + mass of bucket
= 0.75 + 0.75 = 1.5 kg
The scale will read the weight:
Weight = mg = 1.5 x 9.8 = 14.7 N
Your question is incomplete, but most probably your question was:
Water falls without splashing at a rate of 0.250 L/s from a height of 2.60 m into a 0.750 kg bucket on a scale. If the bucket is originally empty , what does the scale read 3 s after water starts to accumulate in it.
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the fraction of light that is transmitted through a 100 mm panel of pmma is 0.97. neglecting reflection at both surfaces, what is the absorption coefficient b of pmma?
The absorption coefficient ,[tex]\beta[/tex] of PMMA is [tex]0.3\ m^{-1}[/tex] when 0.97 fraction of light is transmitted through 10 mm panel of PMMA.
The absorption coefficient determines how far light of a specific wavelength can penetrate before being absorbed. Light is only poorly absorbed in a material with a low absorption coefficient, and if the material is thin enough, it will appear transparent to that wavelength.
Given,
The fraction of light transmitted through PMMA panel = 0.97
Thickness of PMMA panel = 100 mm = 0.1 m
The absorption of coefficient, [tex]\beta[/tex]can be determined by the relation,
[tex]I=I_oe^{-\beta x}\\\\\frac{I}{I_o}=e^{-\beta x}\\\\[/tex]
applying natural log on both sides
[tex]ln(\frac{I}{I_o})=ln(e^{-\beta x})\\\\ln(\frac{I}{I_o})=-\beta x\\\\\beta = -\frac{1}{x}ln(\frac{I}{I_o})[/tex]
Here, x is the thickness of the PMMA panel; [tex]\frac{I}{I_o}[/tex] is the fraction of light transmitted; I is the initial intensity of light before transmitting through panel and [tex]I_o[/tex] is the final intensity of light after passing through the panel.
[tex]\beta = -\frac{1}{0.1}ln(0.97)\\\\\beta = -10*(-0.03)=0.3 m^{-1}[/tex]
Thus, the absorption coefficient is [tex]0.3\ m^{-1}[/tex]
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Observations of young stars (as well as theory) tell us that when the Sun was young the solar wind
A) was weaker than it is today.
B) was stronger than it is today.
C) was about the same strength as it is today.
D) was nonexistent.
E) blew outward only along the Sun's poles.
Observations of young stars tell us that when the Sun was young the solar wind was stronger than it is today.
The proto-planetary disc's gas and dust would have been cleaned away by the young Sun's solar wind after three to ten million years, pushing it into interstellar space and putting an end to the planets' formation.
The solar nebular disc model, often known as the solar nebular model, is the most extensively used current variation of the nebular hypothesis.
The planets' almost circular and coplanar orbits, as well as their motion in the same plane as the Sun's spin, were all explained by this theory, along with a number of other features of the Solar System.
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Students build a circuit. The circuit has wires that connect a battery to a switch and a fan. Which energy transformations happen when the students close the circuit and the blades of the fan begin to spin?
When the students close the circuit and the fan blades start to spin, energy is transformed from electrical energy to mechanical energy.
What is electrical energy?Electrical energy is energy generated from the flow of electric charge through a conductor. This energy is utilized in virtually all modern-day appliances, from lightbulbs to cell phones to electric cars. It is created in power plants, harnessed through transmission lines, and distributed to consumers. Electrical energy can be converted into other forms of energy, such as heat or light, and can be used to power machines and equipment.
This is done by the battery supplying electrical energy to the switch and the fan, which then converts the energy into rotational energy. This is what causes the fan blades to spin and produces mechanical energy. The mechanical energy produced by the fan is then used to create air movement, which is another form of mechanical energy.
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I need help this test is timed
A solid sphere has a radius of 5cm. It is hung from a spring with spring constant 80 N/m and stretches the spring 8cm from its equilibrium position. Find the density of the sphere
The density of the sphere given it stretches the spring 8 cm from it's equilibrium position is 1.25 g/cm³
How do I determine the density of the sphere?First, we shall obtain the mass of the sphere. Details below:
Spring constant (K) = 80 NExtension (e) = 8 cm = 8 / 100 = 0.08 mAcceleration due to gravity (g) = 9.8 m/s²Mass (m) = ?F = mg
F = Ke
Thus,
mg = Ke
Divide both sides by g
m = Ke / g
m = (80 × 0.08) / 9.8
m = 0.653 Kg
Multiply by 1000 to express in grams
m = 0.653 × 1000
m = 653 g
Finall, we shall determine the density of the sphere. Details below:
Radius (r) = 5 cm Pi (π) = 3.14Volume of sphere = 4/3πr³ = (4/3) × 3.14 × 5³ = 523 cm³Mass of sphere = 653 gDensity of sphere = ?Density = mass / volume
Density of sphere = 653 / 523
Density of sphere = 1.25 g/cm³
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Which of the following pairs are similar?(A) work and power(B) momentum and energy(C) force and power(D) work and energy
The pair of work and energy is similar.
Among all the given pairs the pair of work and energy are similar because they have similar units.
According to the work energy theorem, the total work done on a body by all the forces combined is equal to the change in kinetic energy of the body.
W = ∆K
According to the principle of homogeneity,
If two quantities are equal then they must have similar units.
In the case of energy and work both of them has the unit Joule. Because there equal as per the work energy theorem.
Work and power, Momentum and energy, force and power all have different units so they are not similar pairs.
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when traveling in the same medium, if the frequency of ultrasound is increased from 0.77 mhz to 1.54 mhz, what happens to the wavelength?
If the ultrasound frequency is increased from 0.77 MHz to 1.54 MHz, then the wavelength is halved.
Wavelength is the distance of one wave and is represented by the Greek letter Lambda (λ). To calculate the actual wavelength is the same as calculating the distance traveled by the wave.
If a wave is moving at a constant wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.
So, if the frequency is doubled, the wavelength will be shorter, which is halved.
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is the electric field strength in the figure(figure 1) increasing, decreasing, or not changing?
Answer:
Decreasing
Explanation:
The electric field strength is decreasing in figure 1.
Which of newton’s laws is best demonstrated by a ball rolling to a wall then stopping?
Answer:
This is Newton's First Law of Motion
Explanation:
First law of motion: An object at rest stays at rest, and an object in motion stays in motion, unless acted on by a net force.
if the pendulum is modeled as a simple pendulum, how long must it be for the ticks to occur once a second?
A pendulum requiring exactly one second for each swing in either direction or two seconds for a complete vibration and having a length between centers of suspension and oscillation of 99.353 centimetres at sea level in latitude 45 degrees.
Light waves are electromagnetic waves that travel at 3.00 x 10^8 m/s. The eye is most sensitive to light having a wavelength of 5.50 x 10^-7 m.
a. Find the frequency of this light wave.
b. Find its period.
Answer:
a. Frequency is 5.45 x 10^14 hz
b. The period = 1.8 x 10^-15 sec {or 1.8 femptoseconds]
Explanation:
The velocity of an electromagnetic wave is given by the product of the wave's frequency(f) times its wavelength(λ).
V = λ f where,
V is the wave speed,
f is the wave frequency,
λ is the wavelength.
To find frequency, rearrange to:
f = V/ λ
Light travels at 3.00x10^8 m/sec.
λ is 5.50 x 10^-7 m
f = (3.00x10^8 m/sec)/(5.50 x 10^-7 m) meters cancels, secs is on the bottom]
f = (3.00/5.50)*(10^15) [The base 10 exponent on the bottom ius subtracted from the one on top: 98-(-7)) = 15)
f = 0.545 x 10^15 1/s or hz
f = 5.45 x 10^14 hz
b. The period of a wave is the inverse of it's frequesncy. It is the time it takes for 1 wave to pass. Invert the frequency:
Period = 1/f
Period = 1/(0.545 x 10^15 1/s)
Period = 1.8 x 10^-15 sec {or 1.8 femptoseconds]
A car is moving towards a person at 0. 02 km/s. The speed of light is 300,000 km/s. What speed would the person measure for light coming from the car's headlights? (1 point).
The person would measure the speed of the light coming from car's headlight to be 300,000 km/s.
The SI definition of the meter makes another assumption about the laws of physics: that the theory of relativity is true. The idea that the speed of light is the same in all inertial frames is a fundamental postulate of the theory of relativity. This can be separated into two sections:
The observer's movement has no effect on the speed of light.
Time and location have no effect on the speed of light.
It seems very counterintuitive to assert that the observer's velocity has no bearing on the speed of light. Although Einstein was able to demonstrate in 1905 that it is perfectly consistent if you are willing to give up assumptions regarding the absolute nature of space and time, some individuals even refuse to accept this as a possibility that is logically consistent.
So according to the special theory of relativity the speed of light is constant (same) when measured in any inertial frame of reference. In other words the speed of light is constant relative to anything.
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Identify the stage in star life cycle in which hydrogen is the primary fuel for nuclear fusion?
Main sequence is the stage of the star's lifecycle in which hydrogen acts as the primary fuel for nuclear fusion.
Life Cycle of StarThese hydrogen and helium elements combine to increase the mass in the centre of the cloud as a result of gravity's contracting force. As mass increases, gravitational pull also expands. All of the molecules and particles in the environment are pulled in by gravity. As the molecules continue to descend into the cloud's core, the cloud's mass rises and the cloud's center begins to heat up. This heated center is known as a protostar.
Now, as additional molecules are drawn to this protostar, the protostar's temperature is rising. The temperature continues to climb until the time comes when the pressure exceeds the point when two hydrogen atoms start to fuse, releasing heat and radiation to create helium.
Nuclear fusion is the process of fusing two hydrogen atoms to create helium by releasing a large amount of energy.
The outward force produced by the radiation and heat emitted now balances the inward force exerted by gravity. The star is born when the force is balanced equally inward and outward.
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Make a table in which you list all possible outcomes of rolling two dice. Call the dice A and B.Part AWhat is the probability of rolling a 7.00? You can give the probabilities as fractions, such as 3/36.Part BWhat is the probability of any double?Part CWhat is the probability of rolling a 7.00 or an 8? You can give the probabilities as fractions, such as 3/36.
When two dice are rolled there are 36 possible outcomes. The sample for two diced named A and B can be written as follows:
S= {(1,1), (1,2), (1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4), (2,5),(2,7),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
This question can be solved using concept of probability and sample space.
a) probability of rolling a 7
Possible outcomes: (6,1),(1,6),(2,5),(3,4),(4,3),(5,2)
Probability= 6/36=1/6
b) Probability of a double
possible outcomes: (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
probability= 6/36= 1/6
c) probability of rolling a 7 or 8
= probability of rolling 7+ probability of rolling 8
= [tex]\frac{6}{36} +\frac{5}{36}= \frac{11}{36}[/tex]
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determine the location of the resultant force of the water acting on the vertical end wall of the pool where the depth is 2.5m
The location of the resultant force of the water on the vertical end of the pool is 1.67 m from the top.
Given that, length of the swimming pool is 16 m
Width of the swimming pool is 6 m
Depth of the pool (h) is 2.5 m
Area of the pool (A) = 6* 2.5 = 15 m²
Moment of inertia (I) = bh³/12 = 6* 2.5³/12 = 7.82 m⁴
x = h/2 = 1.25 m
The expression for location of force is
H = x + I/(A*x) = 1.25 + 7.82/(15* 1.25) = 1.25 + 7.82/18.75 = 1.67 m
Thus, the location of the resultant force of the water on the vertical end of the pool is 1.67 m from the top.
The question is incomplete. A swimming pool is 16 m long and 6 m wide.
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an electrical circuit refers to the combination of various electrical components that are connected together. group of answer choices true false
An electrical circuit refers to the combination of various electrical components that are connected together. - True
An electrical circuit refers to the combination of various electrical components that are connected together in a closed loop, thereby allowing electrons to flow through the circuit. Electrical circuits are essential for the operation of most electronic devices and are made up of a variety of components such as resistors, capacitors, inductors, and transistors.
These components are connected together using conductive materials. The conductive material is generally the copper wire which is used to create the circuit. The flow of electrons through the circuit can be controlled and manipulated using various techniques, such as switching and modulation, to perform a wide range of functions.
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3. An object rotates in a circular track with a uniform speed 10 ms¹ and it has a periodic time 4 s. what is the magnitude of the mean acceleration of the object when it moves from A to B where AB is a diameter? 1). 0 2).5 ms² 3). 15 ms 4). 20 ms-² 5). 10 ms-²
The magnitude of the mean acceleration of the object is 15 m/s^2 when it moves from A to B where AB is a diameter.
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
Given that: uniform speed of the object: v = 10 m/s.
Periodic time: T = 4 second.
Hence, the magnitude of the centripetal acceleration of the object = 2πv/T
= (2π × 10)/4
= 15 m/s^2.
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Answer: 5. 10 ms-²
Explanation:
Answer: 5. 10 ms-²
Explanation: The magnitude of the mean acceleration of the object when it moves from A to B is equal to the angular acceleration multiplied by the radius of the circular track.
Therefore, the angular acceleration = (2π/T) = (2π/4) = (π/2) rad/s²
The radius of the circular track = 10 m
Therefore, the magnitude of the mean acceleration of the object when it moves from A to B = (π/2) x 10 = 10 ms-²
part a a calorimeter consists of an aluminum cup inside of an insulated container. the cup is weighed on a top-loading balance and is found to have a mass of 31.91 g. a reaction is conducted in the calorimeter, raising the temperature from 21.2 c to 26.1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0.903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat for the aluminum cup is 141.19 Joule.
Describe specific heatThe term "specific heat" refers to the amount of heat required to increase a substance's temperature by one degree Celsius per gram. SI units of specific heat is joules per gram per degree Celsius.
Given that Aluminum cup weight: m = 31.91 g
inital temperature is 21.2 °C.
T = 26.1 °C is the final temperature.
Aluminum has a specific heat of 0.903 J/g/°C.
Consequently, the aluminum cup's change in temperature = ms (T-t)
= 31.91 × 0.903 × ( 26.1 - 21.2)
= 31.91 * 0.903 * 4.9
= 141.19 Joule.
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Find the standard matrices A and A' forT = T2 ∘ T1 and T' = T1 ∘ T2.T1: R2 → R2, T1(x, y) = (x − 3y, 3x + 5y)T2: R2 → R2, T2(x, y) = (y, 0)A=A'=
Upon calculation A=[tex]\left[\begin{array}{ccc}3&5\\0&0\\\end{array}\right][/tex] and A'= [tex]\left[\begin{array}{ccc}0&1\\0&3\\\end{array}\right][/tex]
This question can be solved using the concept of matrices.
A matrix is a rectangular array of integers divided into rows and columns. In mathematics, a matrix is an array of integers that is arranged in a rectangular pattern and split into rows and columns. They are often expressed by enclosing all of the numbers included between square braces.
According to the question given here
T₁(x,y)= (x-3y,3x+5y)
and
T₂(x,y)= (y,0)
Now it is clearly mentioned that T= T₁*T₂
T(x,y)= T₂[T, (x,y)]
T(x,y)= T₂(x-3y,3x+5y)
T(x,y)= (3x+5y,0)
T(1,0)= (3*1+5*0,0)= (3,0)
T(0,1)= (3*0+5*1,0)= (5,0)
which means A=[tex]\left[\begin{array}{ccc}3&5\\0&0\\\end{array}\right][/tex]
Now to find A'
T'= T₁*T₂
T'(x,y)= T₁[T₂(x,y)]
T'(x,y)= T₁(y,0)
T'(x,y)= (y-3*0,3y+5*0)
T'(x,y)= (y,3y)
T'(1,0)= (0,0)
T'(0,1)= (1,3)
which gives us A'= [tex]\left[\begin{array}{ccc}0&1\\0&3\\\end{array}\right][/tex]
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what was the effect of doubling the water mass on the temperature change, and why do you think this happened?
The effect of doubling the water mass on the temperature change, and why do you think this happened is doubling the mass will double the temperature change.
It lowers the temperature. Because the water temperature lowers as the bulk of the cylinder grows, it will result in a cooler year. Thermal expansion happens with heating. The mass stays constant. The loudness goes up. And as a result, the density drops. The average kinetic energy of an object's particles rises with increasing temperature. The object's thermal energy grows as the average kinetic energy of its particles rises. As a result, an object's thermal energy rises as its temperature does.
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A 0. 50-kilogram cart is rolling at a speed of 0. 40 meter per second. If the speed of the cart is doubled, the inertia of the cart is.
Doubling the speed of the cart doubles its inertia.
What is speed?Speed is the rate at which something moves or happens. It is a measure of how quickly an object moves from one point to another. It can be measured in different units such as metres per second, feet per second, miles per hour, kilometres per hour, and so on. Speed is an essential factor in many activities, such as driving, running, and flying. It is also an important factor in sports, as athletes must be able to move quickly in order to perform optimally. Speed is also a factor in many everyday activities, such as walking up a flight of stairs or getting from one place to another.
Inertia is the property of an object to resist a change in its state of motion. So, if the mass of the cart remains the same, its inertia will double when its speed is doubled. The inertia of the 0. 50-kilogram cart is then equal to 1.00 kilogram-meter-squared.
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a billiard ball is decelerating at a constant rate. its initial velocity is 8m/s. after 1.5 seconds it is travelling at 6m/s. find its acceleration.
1.33m/s^2 is the acceleration. when a billiard ball is decelerating at a constant rate. its initial velocity is 8m/s. after 1.5 seconds it is travelling at 6m/s.
What are two illustrations of acceleration?The rate at which a moving object's velocity changes is known as acceleration. It gauges the speed of velocity changes. Examples of acceleration include riding a carousel and traveling at a constant speed around a bend on a road.
The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).
a = (v_f - v_i) / Δt
a= 6m/s - 8m/s / 1.5 seconds
a=-1.33m/s^2
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approximately how much greater is the force of gravity at the surface of the white dwarf than at the surface of the earth?
NASA estimates that a white dwarf's surface has 350,000 times as much gravity as Earth has.
What transpires when a white dwarf is larger than 1.4 solar masses Why is this beneficial?If the mass is too enormous (more than 1.4 solar masses, known as the Chandrasekhar limit), a white dwarf star will no longer be in equilibrium between gravity and degeneracy pressure.
What is the gravitational pull on the white dwarf Sirius B?Sirius B is smaller than Earth at 7,500 miles (12,000 kilometers) in diameter, but it is more denser. A 150-pound individual would weigh 50 million pounds standing on its surface due to the star's strong gravitational field, which is 350,000 times stronger than Earth's.
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Consider two children sitting on a merry-go-round, with one closer to the outer edge and one closer to the center. Which child has a greater angular speed?
the orion nebula, m-42, is a hot, thin cloud of glowing gas, so its spectrum is
The orion nebula, m-42, is a hot, thin cloud of glowing gas, so its spectrum is (d) a few bright lines against a dark background.
The Orion Nebula is it a cloud of gas?
One of the best-known celestial features is the Orion Nebula, often known as M42. This cloud of gas and dust, the middle "star" in Orion's dagger hanging below his belt, is so dazzling that it can be seen with the unaided eye even from a distance of more than 13 quadrillion kilometers (8 thousand trillion miles).
Why is Orion so crucial?
One of the starry sky's most intriguing and significant constellations is Orion. One reason why astronomers are drawn to it is that it contains one of the Milky Way Galaxy's closest and most active star nurseries (the Orion Nebula).
The Orion Nebula's gas glows for what reason?
The Trapezium and Nebula are located in front of a cold, dusty "giant molecular cloud" that contains regions of active star formation, around 1500 light years away. A blister on the molecular cloud's front edge gets electrified by the stars of the Trapezium, making it glow.
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the predominant wavelength emitted by an ultraviolet lamp is 370 nm a) what is a frequency of this light? b) what is the energy (in joules) of a single photon of this light? c) if the total power emitted at this wavelength is 45.0 w, how many photons are emitted per second? socratic.org
8.1 * [tex]10^{5}[/tex] Hz is a frequency of this light when predominant wavelength emitted by an ultraviolet lamp is 370 nm .
fλ = c
where f- Frequency
λ - Wavelength
c- speed of light
f= c/ λ
= 3 * [tex]10^{8}[/tex]/ 370
= 8.1 * [tex]10^{5}[/tex] Hz
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm).
The wavelength, which will also apply to troughs, is the separation between two wave crests. The number of vibrations that span a particular area in a second is known as the frequency, which is measured in cycles per second (Hz) .
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a coil of wire contains of 20 turns, each with an area of 1.5 x 10-3 m2. a magnetic field is normal to the surface of each loop. initially, the magnitude of b is 0.050 t. during the period of time of 0.10 s, the magnitude of the field at the coil has increased to 0.060 t. what is the average emf induced in the coil during this time?
electromagnetic induction was discovered by a. hans christian oersted b. isaac newton c. michael faraday d. benjamin franklin e. albert einstein
Answer:
Electromagnetic induction was discovered by Micheal Faraday.
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a certain heat engine does 9.5 kj of work and 8.50 kj heat transfer occurs to the environment in a cyclical process. (a) what was the heat transfer (in kj) into this engine?
The heat transfer into this engine is 52.7%.
Solution:
9.5 + 8.5
Hi = 18KJ
n = w/Hi
= 9.5/18 x 100
= 52.7%
Heat transfer is the field of thermal engineering concerned with the production use conversion and exchange of thermal energy between physical systems. Heat transfer is classified into different mechanisms such as. Conduction convection radiation and energy transfer through a phase change.
There are three ways heat is transferred conduction convection and radiation. Heat transfer between states of matter occurs whenever there is a temperature difference, and heat transfer only occurs in the direction of decreasing temperature, that is, from a hot body to a cold body.
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why did you have to draw circles around each station in order to pinpoint the epicenter? why couldn't you just use the distance from each station to go directly to the epicenter in a straight line? explain.
The ratio of the three circles they draw is equal to the distances from the stations to the epicenter.
Scientists use triangulation to find the epicenter of an earthquake. If seismic data are collected from at least three different locations, their intersection can be used to determine the epicenter. Each earthquake is recorded by numerous seismometers placed in different directions.
The epicenter is the point on the surface directly above the earthquake. A seismic station uses seismometer recordings to detect earthquakes. Determining the epicenter of an earthquake requires records from three separate seismic stations. Triangulation is a method of uniquely identifying earthquakes using distance information determined from three seismic stations.
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