Answer:
Living organisms collect the energy from the sun, and use water and carbon dioxide to produce sugars in the process known as photosynthesis. Animals can use the energy and sugars that have been provided by the plants. When plants get enough light, plants can make their own food
Plants process energy through photosynthesis, a process that converts light energy into chemical energy. Animals process their energy through cellular respiration, which turns biochemical energy from nutrients into adenosine triphosphate. These processes are interrelated, involving a cycle of oxygen, glucose, carbon dioxide, water and energy.
Explanation:Plants, such as sunflowers, and animals process energy differently. Photosynthesis is the process by which plants, including sunflowers, convert light energy, usually from the sun, into chemical energy that can be later released to fuel the organisms' activities. This process occurs in the chloroplasts, specifically using the chlorophyll in the leaves.
Animals, on the other hand, get their energy through cellular respiration, a set of metabolic reactions and processes that take place in the cells of organisms to convert biochemical energy from nutrients into adenosine triphosphate (ATP), and then release waste products. Unlike photosynthesis which occurs in the chloroplasts, cellular respiration mostly occurs in the mitochondria.
The two processes, although different, are interrelated. Plants produce oxygen and glucose (sugar) during photosynthesis, which are then used by animals (and plants as well) in cellular respiration to produce carbon dioxide, water and energy. Then the carbon dioxide and water are taken up by the plants to use in photosynthesis.
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How to calculate this operation? m=10kg and L=2500J/kg? What is the Energy?
I hope you will give me the correct answer because the last answer was too rude. His known by SOD!
Answer:
25000J
Explanation:
Formula : Q = m×c×Δt
Q=Heat energy
m= mass
c=specific heat capacity
ΔT = change in temperature.
Q=M x C for this question.
Specific heat capacity = 2500 J/Kg
Mass = 10kg
2500 x 10 = 25000 J
A rocket sled accelerates to 50 m/s. When the rocket engine stips, the sled skids along its rails. If the coefficient of friction is 0.5, how fast is the sled moving after 2.50 s?
The sled's speed can be calculated by considering the acceleration, frictional force, and time. After substituting the given values and performing the calculations, the final speed is determined to be 12.25 m/s.
To calculate the speed of the sled after 2.50 seconds, we can use the equations of motion and consider the forces acting on the sled.
Let's denote the initial speed of the sled as v0, the final speed as vf, the acceleration as a, the time as t, and the coefficient of friction as μ.
Initially, the rocket sled is accelerating, so we can use the equation:
vf = v0 + at
Since the sled is skidding along its rails after the rocket engine stops, the only horizontal force acting on the sled is the force of friction. The frictional force can be calculated using the equation:
frictional force = coefficient of friction * normal force
Since the sled is moving horizontally, the normal force is equal to the weight of the sled, which can be calculated as:
weight = mass * gravity
Now, we can determine the acceleration of the sled using Newton's second law:
frictional force = mass * acceleration
Combining the equations and substituting the values, we have:
vf = v0 + (frictional force / mass) * t
To find the frictional force, we need to calculate the weight of the sled and then multiply it by the coefficient of friction:
frictional force = (mass * gravity) * coefficient of friction
Substituting this back into the previous equation, we get:
vf = v0 + ((mass * gravity * coefficient of friction) / mass) * t
Simplifying further, we have:
vf = v0 + (gravity * coefficient of friction) * t
Now we can substitute the given values into the equation. Assuming the acceleration due to gravity is approximately 9.8 m/s², the coefficient of friction is 0.5, the initial speed is 0 m/s (since the sled starts from rest), and the time is 2.50 s, we can calculate the final speed:
vf = 0 + (9.8 * 0.5) * 2.50
vf = 12.25 m/s
Therefore, the sled is moving at a speed of 12.25 m/s after 2.50 seconds.
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Which of these is an example of projectile motion?
a
a jet lifting off a runway
b
a roller coaster going down a steep track
c
a piece of fruit falling off a tree
d
a baseball that has just been thrown
Answer:
the answer is d I'm pretty sure
(e) explain why a power company would choose wind energy rather than energy from biomass to replace electricity generation by fossil fuels. (f) describe one environmental problem associated with the renewable energy source that is the smallest contributor to electricity generation in the united states. (g) make a claim that proposes a reasonable solution to the p
Complete Question:
Power companies have begun to switch from using fossil fuels to producing electricity from renewable energy sources in various parts of the United States. Wind energy currently generates the most electrical output of any renewable energy source in the United States after surpassing hydroelectric generation for the first time in 2019. The renewable energy source that contributes the least to the nation's power production is geothermal energy.
(e) Describe why a power firm would select wind energy over biomass energy to replace the production of electricity using fossil fuels.
(f) Identify one environmental issue with the renewable energy source that makes up the least portion of the country's power production.
(g) Make a statement that suggests a practical answer to the problem partially mentioned (f).
(h) Describe a drawback or unforeseen result of the partial solution (g).
Power companies would prefer biomass energy to replace burning of fossil fuels to produce electricity for several reasons.
(e) There are several reasons why power companies might choose wind energy over biomass to replace electricity generation by fossil fuels. Wind energy is abundant, widely available, and generates no greenhouse gas emissions. It is also relatively inexpensive to build and operate wind farms compared to other forms of renewable energy. Additionally, wind energy is relatively predictable, making it easier for power companies to plan for and manage their energy needs.
(f) One environmental problem associated with the smallest contributor to electricity generation in the United States, geothermal energy, is the potential for induced earthquakes. The extraction of hot water and steam from deep within the Earth to generate electricity can cause the release of stored energy that results in seismic activity. This can be damaging to local communities and infrastructure.
(g) A reasonable solution to the problem of induced earthquakes in geothermal energy generation is to implement more careful and controlled extraction methods. This could involve monitoring the injection and extraction of fluids to minimize the risk of seismic activity, or using more advanced technologies that allow for the precise control of fluid flow.
(h) One disadvantage or unintended consequence of the solution proposed in part (g) is that it may result in higher costs for power companies and consumers. The implementation of more careful and controlled extraction methods and the use of advanced technologies may require significant investment, which may result in higher electricity prices for consumers. Additionally, the increased regulations and oversight that may be required could result in additional bureaucratic barriers and bureaucratic delays for power companies looking to develop new geothermal energy projects.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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The way in which one atom interacts with another atom is mostly influenced by the configuration of the
A. electrons farthest from the nucleus.
B. protons in the center of the nucleus.
C. electrons closest to the nucleus.
D. protons on the outer edge of the nucleus.
The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.
Option A.
What is atom?An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).
The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.
Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.
The remaining options do not fit the empty space properly, and they include;
protons in the center of the nucleus.electrons closest to the nucleus.protons on the outer edge of the nucleus.Learn more about electron configuration here: https://brainly.com/question/26084288
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Which particles are considered nucleons? O A. Electrons and neutrons O B. Neutrons and protons OC. Protons and electrons D. Only electrons
The particles that are considered nucleons are neutrons and protons. Option B.
What are nucleons?Nucleons are particles found in the nucleus of an atom, specifically protons and neutrons.
Protons have a positive charge, while neutrons have no charge, and together they make up the majority of the mass of an atom.
Electrons, on the other hand, are much smaller than protons and neutrons, and they orbit around the nucleus in shells. Since they are not found in the nucleus, electrons are not considered nucleons.
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In the human femur, bone tissue is strongest in resisting compressive force,
approximately half as strong in resisting tensile force, and only about one-
fifth
as strong in resisting shear force. If a tensile force of 8000 N is sufficient to
produce a fracture, how much compressive force will produce a fracture?
How much shear force will produce a fracture
The compressive force that would be enough to produce a fracture is 4000 N.
What is the force?We know that the femur is one of the most important bones that we have in the human body. In this case, we have been told that In the human femur, bone tissue is strongest in resisting compressive force, approximately half as strong in resisting tensile force, and only about one- fifth as strong in resisting shear force.
Then we know that;
Tensile force = 8000
The compressive force would be half of this magnitude as such;
Compressive force = 4000 N
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Which vector is the sum of vectors à and b?
The vectors addition permits locating the perfect result for the sum of the two vectors in option B). See attached and the vector is directed to the right and up.
Vector addition is the operation of adding or extra vectors together into a vector sum. The so-known as parallelogram regulation gives the rule for vector addition of or greater vectors. for two vectors and, the vector sum is received via placing them head to tail and drawing the vector from the loose tail to the unfastened head.
A vector is an amount or phenomenon that has impartial residences: importance and direction. The time period also denotes the mathematical or geometrical representation of the sort of quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
Vectors are used in technological know-how to describe something that has a direction and a magnitude. they're commonly drawn as pointed arrows, the length of which represents the vector's importance
Disclaimer: your question is incomplete, please see below for the complete question.
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Which vector is the sum of vectors à and b?
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Which group is an international organization which United States is
involved
Answer:
D. The World Bank.
Explanation:
UNDP is an acronym for United Nations Development Programme and it is a global (world) development initiative of the United Nations (UN). The main purpose of the United Nations Development Programme (UNDP) is to provide resources such as loans, grants and training to developing nations in order to improve their technical plans and infrastructural investments. One of the programmes sponsored by the United Nations Development Programme (UNDP) in developing countries around the world is the Sustainable Development Goals (SDGs).
Similarly, The World Bank is an international financial institution that is saddled with the responsibility of providing loans and grants to developing countries just like the United Nations Development Programme (UNDP).
Furthermore, several countries across the world such as Nigeria, Austria, Japan, Germany, United Kingdom, Ghana, Netherlands, Guinea, Brazil, Canada, China, Qatar, Egypt, United States of America, etc.
Hence, the World Bank is an international organization which the United States of America is involved.
Determine the accelerations that result when a 12-N net force is applied to a 3-kg object and then to a 6-kg object.
ans: 4m/s²
and 2m/s²
step:
f=m.a
in first condition
f=12N , M=3kg
so,
12=3.a
a=12/3
a=4m/s².
similarly
in second condition
f=12N ,M=6Kg
so,
12=a.6
a=12/6
a=2m/s²
At which point is potential energy greatest?
Answer:
highest point
Explanation:
Potential energy is greatest when the most energy is stored. This could be when an object reaches its highest point in the air before falling, a rollercoaster just before it drops, or when a rubber band is stretched as far back as possible before it snaps.
A rigid, insulated tank whose volume is 10 L is initially evacuated. A pinhole leak develops and air from the surroundings at 1 bar, 25 C enters the tank until the pressure in the tank becomes 1 bar (assume ideal gas model k=1.4 for the air). Find:
A) final temperature in tank.
B) amount of air that leaks into tank in grams.
C) amount of entropy produced in J/K.
Answer:
The answer is "\(143.74^{\circ} \ C , 8.36\ g, and \ 2.77\ \frac{K}{J}\)"
Explanation:
For point a:
Energy balance equation:
\(\frac{dU}{dt}= Q-Wm_ih_i-m_eh_e\\\\\)
\(W=0\\\\Q=0\\\\m_e=0\)
From the above equation:
\(\frac{dU}{dt}=0-0+m_ih_i-0\\\\\Delta U=\int^{2}_{1}m_ih_idt\\\\\)
because the rate of air entering the tank that is \(h_i\) constant.
\(\Delta U = h_i \int^{2}_{1} m_i dt \\\\= h_i(m_2 -m_1)\\\\m_2u_2-m_1u_2=h_i(M_2-m_1)\\\\\)
Since the tank was initially empty and the inlet is constant hence, \(m_2u-0=h_1(m_2-0)\\\\m_2u_2=h_1m_2\\\\u_2=h_1\\\\\)
Interpolate the enthalpy between \(T = 300 \ K \ and\ T=295\ K\). The surrounding air
temperature:
\(T_1= 25^{\circ}\ C\ (298.15 \ K)\\\\\frac{h_{300 \ K}-h_{295\ K}}{300-295}= \frac{h_{300 \ K}-h_{1}}{300-295.15}\)
Substituting the value from ideal gas:
\(\frac{300.19-295.17}{300-295}=\frac{300.19-h_{i}}{300-298.15}\\\\h_i= 298.332 \ \frac{kJ}{kg}\\\\Now,\\\\h_i=u_2\\\\u_2=h_i=298.33\ \frac{kJ}{kg}\)
Follow the ideal gas table.
The \(u_2= 298.33\ \frac{kJ}{kg}\) and between temperature \(T =410 \ K \ and\ T=240\ K.\)
Interpolate
\(\frac{420-410}{u_{240\ k} -u_{410\ k}}=\frac{420-T_2}{u_{420 k}-u_2}\)
Substitute values from the table.
\(\frac{420-410}{300.69-293.43}=\frac{420-T_2}{{u_{420 k}-u_2}}\\\\T_2=416.74\ K\\\\=143.74^{\circ} \ C\\\\\)
For point b:
Consider the ideal gas equation. therefore, p is pressure, V is the volume, m is mass of gas. \(\bar{R} \ is\ \frac{R}{M}\) (M is the molar mass of the gas that is \(28.97 \ \frac{kg}{mol}\) and R is gas constant), and T is the temperature.
\(n=\frac{pV}{TR}\\\\\)
\(=\frac{(1.01 \times 10^5 \ Pa) \times (10\ L) (\frac{10^{-3} \ m^3}{1\ L})}{(416.74 K) (\frac{8.314 \frac{J}{mol.k} }{2897\ \frac{kg}{mol})}}\\\\=8.36\ g\\\\\)
For point c:
Entropy is given by the following formula:
\(\Delta S = mC_v \In \frac{T_2}{T_1}\\\\=0.00836 \ kg \times 1.005 \times 10^{3} \In (\frac{416.74\ K}{298.15\ K})\\\\=2.77 \ \frac{J}{K}\)
Organizing and making sense of behavioral observations is central to psychology’s goal of ?
Answer:
Organizing and making sense of behavioral observations is central to psychology’s goal of explanation.
1. Where is the magnetic field the strongest on a bar magnet?
a. Closest to the poles
b. A medium distance away from the poles
2. If a step-down transformer has 220 V coming into the primary coil of 30 turns and 140 V is coming out of the second coil, how many turns in are in the secondary coil?
a. 30
b. 19
c. 0.05
d. 7
1. The magnetic field the strongest on a bar magnet Closest to the poles.
2. There are 19 turns in the secondary coil
How do you calculate the turns in the secondary coil?To find the number of turns in the secondary coil, we say
Vp/Vs = Np/ Ns
Vp is for the primary voltage
Vs is for secondary voltage
Np is for primary turns
Ns is for secondary turns
This translates to;
220/140 = 30/ Ns
1.571 = 30/Ns
To find Ns, we say
Ns = 30/1.571
= 19
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Two very large parallel metal plates, separated by 0.20 m, have a potential difference of 12V. An electron is released from rest at a location a distance d from the negative plate.
(a) Describe the motion of the electron after its release in as much detail as possible.
(b) At what distance from the positive plate, will the electron have a speed of 1 x 10^6 m/s?
Given that two large parallel plates are separated by 0.20 m and that the potential difference is 12V.
(a) Describe the motion of an electron released from rest at a distance "d" from the negative plate.
(b) What distance from the positive plate will the electron have a speed of 1 x 10^6 m/s?
For part (a):
The magnitude of an electric field can be given as \(||\vec E||=\frac{\Delta V}{d}\), where "ΔV" is the potential difference and "d" is the distance between the plates.
So, \(||\vec E||=\frac{12 \ V}{0.20 \ m} \Longrightarrow \boxed{||\vec E||=60 \ \frac{N}{C} }\)
An electric field is created between the plates pointing from positive towards negative. We know that negative charges accelerate opposite the direction of electrical fields. So the electron placed "d" meters away from the negative plate will accelerate towards the positive plate at a constant rate.
For part (b):
We know that...
- the charge of an electron is \(\bold{-1.602 \times10^{-19} \ C}\).
- the mass of an electron is \(\bold{9.11 \times10^{-31} \ kg}\).
- \(\vec F_e=q\vec E\)
- \(\vec F =m\vec a\)
\(\Longrightarrow \vec F_e=(-1.602 \times10^{-19} \ C)(60 \ \frac{N}{C} }) \Longrightarrow \boxed{\vec F_e= -9.612 \times10^{-18} \ N}\)
\(\Longrightarrow \vec F =m\vec a \Longrightarrow \vec a=\frac{\vec F}{m} \Longrightarrow \vec a=\frac{-9.612 \times10^{-18}}{9.11 \times10^{-31} \ kg} \Longrightarrow \boxed{\vec a=-1.06 \times10^{13} \ m/s^2}\)
Kinematic Equation: \(\vec v_f^2=\vec v_0^2+2\vec a \Delta \vec x\)
\(\Longrightarrow 1 \times10^{12} \ m^2/s^2=-2.11 \times10^{13} \ m/s^2 \Delta \vec x \Longrightarrow \Delta \vec x= \frac{1 \times10^{12} \ m^2/s^2}{-2.12 1\times10^{13} \ m/s^2}\)
\(\Longrightarrow \boxed{\Delta \vec x= -0.047 \ m}\)
The distance from the positive plate we'll call, "D."
\(D=0.20+\Delta \vec x\)
\(\Longrightarrow D=0.20+\Delta \vec x \Longrightarrow D=0.20 \ m+(-0.047 \ m) \Longrightarrow \boxed{D=0.153 \ m} \therefore Sol.\)
Read the scientific question below. "Is air pollution related to lichen growth?" What is a likely hypothesis for the question?
Answer:
Long distance transport of nitrogenous air pollution is important and people who drive are influencing the occurrence of acidic loving lichen species
Explanation:
If a ball rolls down a hill at a speed of 6.5m/s for 7s, how far did it travel?
Answer:
DABABY CONVERTIBLE LESS GOOO HA YE YE
describe what the weather would be like as a warm front passes, then describe what would occur as a cold front passes.
The air becomes humid during warm front passes and a cold front means a transition where warm air is being replaced by the cold air.What do you mean by weather?
The weather means the atmosphere at a particular place and time with respect to temperature, pressure, cloudiness, wind, etc.
A warm front means when the air is very warm and humid as compared to before.
A cold front is when the air is very colder and drier than the air above it. More than 15 degrees temperature can drop down when a cold front passes.
A cold front will probably bring winds, thunderstorms, and rain.Therefore, the cold front moves faster than the warm front.Learn more about the Weather here:
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A diving board 3.00 m long is supported at a point 1.00 m from the end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280 N. Find:
a. the force at the support point
b. the force at the left-hand end.
Answer:
\(F_l=1140N\)
Explanation:
From the question we are told that:
Length\(l=3.00m\)
Support distance \(d=1.00m\)
Weight of diver \(W_d=500N\)
Weight of board \(W_b=280N\)
Generally the equation for Total Torque is mathematically given by
\(F_T=W_d-W_b\)
\(F_T=F_d-f_b\)
\(F_T=-280-500\)
\(F_T=-780\)
\(F_T=780\)
Since we consider the horizontal axis
\(\sum Y=0\)
\(Fs-(\frac{1}{2}l*w_b)-(l-w_d)\)
\(Fs-1.5*280-3*300=0\)
\(F_s=1920N\)
Therefore the force at the support point 1.00m from the force at the left-hand
\(F_l=F_s-F_l\)
\(F_l=1920-780\)
\(F_l=1140N\)
The (BLANK) island were where Darwin made many important observations.
Answer:
I know theirs South American coast he was there a lot
Is it possible for two objects to have different speeds but the same kinetic energy?(1 point)
No. There are no combinations of different masses and speeds that would give the same kinetic energy.
Yes, but the object with the greater speed must have the lower mass to have the same kinetic energy.
No. Kinetic energy depends only on speed, so a greater speed means a greater kinetic energy.
Yes, but the object with the greater speed must have the greater mass to have the same kinetic energy.
Answer:
No.There are no combinations of different masses and speeds that would give the same kinetic energy.
Explanation:
different masses can have the same kinetic energy .
HOPE THIS HELPS
HELP DUE 3 MINUTESSSSD
Answer:
Break down small pebbles and sediments, like sand
Break down large rocks like mountains
Explanation:
20 raindrops fall on an umbrella. The following day, 10 hail stones fall on the umbrella. All drops of rain and hail are of equal mass m and are traveling at the same velocity v. Both of these (rain and hail) fall on the umbrella in 1 second. What can we say about the Force exerted on the umbrella to hold it up
Answer:
the force exerted by the umbrella against the drops is the same in both cases
Explanation:
In this exercise the total mass of the raindrops and the hail are equal, therefore the momentum that these drops create is
raindrops I₁ = ∫ F dt
hail I₂ = ∫ F dt
since the mass and the velocity is the same the force is the weight of the drops
F = mg
whereby the impulse is
I₁ = mg t
I₂ = mg t
we can see that the impulses generated by hail and raindrops are equal, therefore the force exerted by the umbrella against the drops is the same in both cases
I need help with the answer
Answer:
Yes, of course
Explanation:
Ask the questionI'll answer itA hypothetical planet has a radius 1.8 times that of Earth but has the same mass. What is the acceleration due to gravity near its surface?
The acceleration due to gravity near the surface of the hypothetical planet is 3.02 m/s².
The formula for acceleration due to gravity is:
g = GM/r² Where, g = acceleration due to gravity G = universal gravitational constant M = mass of the planet r = radius of the planet
In this case, since the mass of the hypothetical planet is the same as that of Earth, we can use the mass of Earth instead of M.
Therefore, g is proportional to 1/r².
So, using the ratio of radii given (1.8), we can write:
r = 1.8 x r Earth, where r Earth is the radius of Earth.
Substituting this value of r in the formula for acceleration due to gravity, we get:
g = GM/(1.8 x r Earth)² = GM/(3.24 x rEarth²) = (1/3.24)GM/rEarth²
We know that the acceleration due to gravity on Earth (g Earth) is 9.8 m/s².
Therefore, we can calculate the acceleration due to gravity on the hypothetical planet (gh) as follows:
gh = (1/3.24) x g Earth = 3.02 m/s²
Thus, the acceleration due to gravity near the surface of the hypothetical planet is 3.02 m/s².
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Judge the following sentence according to the criteria given below: The worldwide
retreat in mountain glaciers is significant BECAUSE these glaciers' reaction times are
much slower than the ice sheets of Antarctica and Greenland.
O The assertion is correct, but the reason is incorrect.
O The assertion is incorrect, but the reason is correct.
O The assertion and the reason are both correct, and the reason is valid.
Both the assertion and the reason are incorrect.
The assertion and the reason are both correct, but the reason is invalid.
The criteria for evaluating the following sentence are as follows: Although the claim is true, the explanation is false.
What is an instance of an assertion?Using straightforward, honest, acceptable, and highly respectful language to communicate your opinions, feelings, and preferences is known as assertion. "I can't hear the movie while you speak. kindly lower your voice." "When you wear that clothing, I really like it. You look wonderful!"
Why do claims matter?To guarantee that fiscal records & disclosures are accurate and suitable, assertions are qualities that need to be evaluated. Financial statements are correctly reported when all assertions for pertinent transactions or balances are met.
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when current is passed through a hot plate, it converts _______ energy into ________ energy
Answer:
when current is passed through a hot plate, it converts electric energy into heat energy
A 1.07 H inductor is connected in series with a fluorescent lamp to limit the current drawn by the lamp. If the combination is connected to a 28.9 Hz, 170 V line, and if the voltage across the lamp is to be 17.6 V, what is the current in the circuit
Answer:
0.784 A
Explanation:
From the question,
Note that the current in the circuit is the same as the current flowing through the inductor since they are both connected in series.
I = VL/XL....................... Equation 1
Where I = current flowing through the circuit, VL = Voltage drop across the inductor, XL = reactance of the inductor.
XL = 2πfL................. Equation 2
Given: f = 28.9 Hz, L = 1.07 H, π = 3.143
XL = 2(3.143)(28.9)(1.07)
XL = 194.38 Ω.
VL = V-Vf
VL = 170-17.6
VL = 152.4 V
Substitute these values into equation 1
I = 152.4/194.38
I = 0.784 A
The current in the circuit when combination is connected should be 0.784 A.
Calculation of the current:SInce
we know that
I = VL/XL....................... Equation 1
Here,
I = current flowing through the circuit,
VL = Voltage drop across the inductor,
XL = reactance of the inductor.
And,
XL = 2πfL................. Equation 2
Here
f = 28.9 Hz, L = 1.07 H, π = 3.143
So,
XL = 2(3.143)(28.9)(1.07)
XL = 194.38 Ω.
Now
VL = V-Vf
VL = 170-17.6
VL = 152.4 V
Now
I = 152.4/194.38
I = 0.784 A
hence, The current in the circuit when combination is connected should be 0.784 A.
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a 1 cm diameter sphere is charged to a potential of 3400 V. how much charge is on the sphere
The required sphere has a charge of 1.88 × 10⁻¹⁰C.
What is the charge?A charge is a fundamental property of matter that describes the electrical property of matter that causes it to experience a force when placed in an electromagnetic field.
Here,
The charge on the sphere can be calculated using the formula:
Q = CV
The capacitance of a sphere can be calculated using the formula:
C = 4πεr / d
Assuming that the sphere is isolated in space, the capacitance is simply:
C = 4πεr
Substituting the given values:
C = 4π(8.85 × 10⁻¹² F/m)(0.5 cm) = 5.54 × 10⁻¹⁴ F
Now we can calculate the charge on the sphere:
Q = CV = (5.54 × 10⁻¹⁴ F)(3400 V) = 1.88 × 10⁻¹⁰ C
Therefore, the sphere has a charge of 1.88 × 10⁻¹⁰C.
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