i. The electron density of maganese is 2.44 × 10²⁸ electrons/m³
ii. The current that flows through a cylindrical manganese wire of volume 27 cm3 is 21.11 kA
To solve the question, we need to know what electron density is.
What is electron density?This is the number of free electrons per unit volume of material.
To find electron density, we need to find the atom density which is the number of atoms per unit volume, n.
Atom density of manganeseSo, the atom density of manganese is n = Nρ/A where
N = avogadro's number = 6.022 × 10²³ atoms/mol, ρ = density of manganese = 7430 kg/m³ and A = atomic mass of manganese = 0.0594 kg/molSo, n = Nρ/A
n = 6.022 × 10²³ atoms/mol × 7430 kg/m³/0.05494 kg/mol
n = 44743.46 × 10²³ atoms/mol × kg/m³/0.05494 kg/mol
n = 81440.59 × 10²³ atoms/m³
n = 8.144059 × 10²⁷ atoms/m³
n ≅ 8.14 × 10²⁷ atoms/m³
i. Electron density of manganese
The electron density of maganese is 2.44 × 10²⁸ electrons/m³
So, the electron density of manganese n' = n" × n where
n" = number of free electrons per atom = 3 and n = atom density = 8.14 × 10²⁷ atoms/m³So, n' = n" × n
= 3 electrons per atom × 8.14 × 10²⁷ atoms/m³
= 24.42 × 10²⁷ electrons/m³
= 2.442 × 10²⁸ electrons/m³
≅ 2.44 × 10²⁸ electrons/m³
So, the electron density of maganese is 2.44 × 10²⁸ electrons/m³
ii. How much current flows through the cylindrical maganese wire?
The current that flows through a cylindrical manganese wire of volume 27 cm3 is 21.11 kA
The current flowing through the wire is given by i = n'eV/t where
n = electron density = 2.44 × 10²⁸ electrons/m³, e = electron charge = 1.602 × 10⁻¹⁹ C, V = volume of wire = 27 cm³ = 27 × 10⁻⁶ m³ and t = time current flows = 5 sSo, substituting the values of the variables into the equation, we have
i = n'eV/t
i = 2.44 × 10²⁸ electrons/m³ × 1.602 × 10⁻¹⁹ C × 27 × 10⁻⁶ m³/5 s
i = 105.54 × 10³ C/5 s
i = 21.11 × 10³ C/s
i = 21.11 × 10³ A
i = 21.11 kA
So, the current that flows through a cylindrical manganese wire of volume 27 cm3 is 21.11 kA
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5. What is the potential energy of a spring if the spring constant is 25.0 N/m and it is compressed to .5 m past its resting position?
Explanation:
Given: Required: solution:
k=25N/m PE ? PE= 1/2 × KX²
X= 5m 1/2 × (25)(5)²
= 312.5 J
Any electricity-charged object creates an electric field. Walking across the carpet in wool socks can create an electric charge. This observation is evidence for which characteristics of electrical forces?
Explanation:
they generate electricity by contact
The picture shows an object resting on a balance.
The object on the balance weighs 0.500 kilograms.
The weight of an object is given by F = mg, where g = 9.8 m/s2. With what force does the object push down on the balance?
Choose the correct answer.
9.3 kg⋅m/s2
9.3 kg⋅m/s, 2
9.8 kg⋅m/s2
9.8 kg⋅m/s, 2
4.90 kg⋅m/s2
4.90 kg⋅m/s, 2
0.500 kg⋅m/s2
0.500 kg⋅m/s, 2
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Answer:
4.90kgm^-2
Explanation:
I need help with this please
Answer:
Rahman was a little bit 5AM but I think he was just try and the guy was the one who just got a a??ze and you know how are you to me that you
(13.04 HC)
The nose works with the brain and other body parts through a series of steps that help us smell odors. What step immediately follows the step of your nose taking in the smell of something burning in the kitchen?
The brain realizes that it is the smell of something burning.
The brain sends a message to the muscles in your legs to move.
The muscles pull on the bones in your legs and you move toward the kitchen.
The nose sends the information of the smell to the brain.
Answer:
The nose sends the information of the smell to the brain.
Explanation:
i think but I'm not really sure
At a typical bowling alley the distance from the line where the ball is released (foul line) to the first pin is 60ft. Assume it takes 5.0s for the ball to reach the pins after you release it, if it rolls without slipping and has a constant translational speed. Also assume the ball weights 12lb and has a diameter of 8.5 inches.
A- Calculate the rotation rate of the ball in rev/s
B- What is the total kinetic energy in pound-feet? Ignore the finger holes and treat the bowling ball as a uniform sphere
A) The rotation rate of the ball in rev/secs is ; 10.79 rev/secs
B) The total kinetic energy of in pound-feet ignoring the finger holes is : 37.6157 pound-feet
Given data :
mass of ball = 12 Ib
diameter of ball = 8.5 inches
Radius = 4.25 inches = 0.10795 m
Time = 5 secs
distance travelled = 60 ft = 18.288 m
A) Determine the rotation rate of the ballFirst step : calculate the velocity of ball
V = distance / time
= 18.288 / 5 = 3.66 m/s
Next step :
angular velocity ( w ) = V / r
= 3.66 / ( 0.10795 ) = 33.90 rad/sec
convert to rev/sec = 33.90 / π
= 10.79 rev/secs
B) Determine the total kinetic energy
given that ball rolls without slipping
Vcon = Rw
Total K.E = 1/2 IW² + 1/2 mv²
= 7/10 MR²W²
Total K.E = 7/10 * 5.44 * ( 0.10795 )² * 33.90²
= 50.99 ≈ 51 J
convert to pound-feet = 37.6157 pound-feet
Hence we can conclude that The rotation rate of the ball in rev/secs is ; 10.79 rev/secs and The total kinetic energy of in pound-feet ignoring the finger holes is : 37.6157 pound-feet.
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What is one benefit of smart meters?
Answer:
You get up-to-date readings
Explanation:
An object with a mass of 70.5 kg is placed on a 2-meter strand of metal (with a 2-millimeter radius) hanging from the ceiling. It stretches 1 millimeter. What is this strand made of?
Based on the value of the Young's modulus, the strand of the metal is made of copper.
Young's modulus of the metalThe Young's modulus of the metal is calculated as follows;
E = stress/strain
Stress of the metalThe stress of the metal is calculated as follows;
σ = F/A = mg/A
where;
A is area of the metal
A = πr²
A = π( 2 x 10⁻³)²
A = 1.257 x 10⁻⁵ m²
σ = (70.5 x 9.8) / (1.257 x 10⁻⁵)
σ = 5.5 x 10⁷ N/m²
Strain of the metalThe strain is calculated as follows;
strain = x/L
where;
x is extension
L is original length
strain = (1 x 10⁻³ m) / 2 m
strain = 5 x 10⁻⁴
Young's modulus of the metal
E = stress/strain
E = (5.5 x 10⁷ ) / (5 x 10⁻⁴)
E = 1.1 x 10¹¹ N/m²
E = 110 Gpa
The Young's modulus of copper metal is 110 Gpa
Thus, based on the value of the Young's modulus, the strand of the metal is made of copper.
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Which has more momentum, a 5000 kg truck moving at 20 km per hour or a 1000 kg truck moving at 50 km per hour?
Answer:
First truck has greater momnetum
Explanation:
momentum = m * v
truck a 5000 * 20 = 10 0000
truck b 1000 * 50 = 5 0000
Two point charges, initially 1 cm apart, are moved to a distance of 3 cm apart. By what
factor do the resulting electrostatic forces between them change?
A 2.0-kg block slides on a rough horizontal surface. A force (magnitude P = 4.0 N) acting parallel to the surface is applied to the block. The magnitude of the block's acceleration is 1.2 m/s2. If P is increased to 5.0 N, determine the magnitude of the block's
When the applied force increases to 5 N, the magnitude of the block's acceleration is 1.7 m/s².
Frictional force between the block and the horizontal surfaceThe frictional force between the block and the horizontal surface is determined by applying Newton's law;
∑F = ma
F - Ff = ma
Ff = F - ma
Ff = 4 - 2(1.2)
Ff = 4 - 2.4
Ff = 1.6 N
When the applied force increases to 5 N, the magnitude of the block's acceleration is calculated as follows;
F - Ff = ma
5 - 1.6 = 2a
3.4 = 2a
a = 3.4/2
a = 1.7 m/s²
Thus, when the applied force increases to 5 N, the magnitude of the block's acceleration is 1.7 m/s².
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Find the Product or expression of:
(6x+4)2
Answer:
20 or 12
Explanation:
if it is 20 u will have to multiple 6 by 4 and the answer u will multiple it by2 and when it is 12 u will have to add 6 +4 and the answer u will add it to 2
Friction between our feet and the surface we walk on is desirable. True False
Answer:
True
Explanation:
A steam engine is working. What is the transformation of energy?
As its name suggests, the steam engine operates on the force of water vapor (steam) heated to high pressure. It is a technology that converts thermal energy (heat) to mechanical energy (work).
A class of 10 students taking an exam has a power output per student of about 200W. Assume the initial temperature of the room is 20 C and that its dimensions are 6.0 m by 15.0 m by 3.0 m. What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source? The specific heat is 837 J/kg C, and its density is about 1.3 x 10^-3 g/cm^3
For a class of 10 students taking an exam has a power output per student of about 200W, the temperature is mathematically given as
dT=25C
What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source?Generally, the equation for the temperature is mathematically given as
dT=Q/mc
Where
Q=Pt
Q=2000*3600
Q=7200000J
And m
m=pv
m=1.3*270
m=351kg
Therefore
dT=7200000J/351*837
dT=25C
In conclusion, The temperature of the room at the end of 1.0 h
dT=25C
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What are some INDIRECT applications of centripetal force in real life?
Answer:
The circular turning of roads
Explanation:
please mark brainliest
Answer:
Explanation:
The circular turning of roads
Driving on Curves
Find the Product or expression of: (4x-2)2
Answer:
8x-4Explanation:
Distributive property:
A(B+C)=AB+AC
(4x-2)2
Switch sides.
→ 2(4x-2)
Multiply.
⇒ 2*4x=8x
⇒ 2*2=4
Rewrite the problem down.
⇒ = 8x-4
[tex]\Longrightarrow: \boxed{\sf{8x-4}}[/tex]
Hence, the final answer is 8x-4.I hope this helps you! Let me know if my answer is wrong or not.
Answer: 8x - 4
Explanation:
(4x -2)*2
apply distributive property
2* 4x - 2 * 2
Multiply the monomials = 8x
2*4x - 2*= 8x-2*2
calculate =
8x-4
Answer: 8x - 4
write about Archimedes principle
Answer:
Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces. Archimedes' principle is a law of physics fundamental to fluid mechanics.
Answer:
When a body is immersed fully or partially in a fluid, it experience is an upward force that is equal to the weight of the fluid displaced by it.
Applications:In designing ships and submarines.Lactometers used to determine the purity of sample of milk.Hydrometer is used to determine the density of liquids.
please answer this question
Answer:
The circuits that were made previously were large and bulky, consisting of circuit components like resistor, capacitor, inductor, transistor, diodes, etc., which were connected with copper wires.
Explanation:
I am in confusion with mono electronic circuit and I am not want to made u confused person.
I am really sorry brother.
:-befrank
Help pleasessssssssssssss
Sorry I had the answer but it wont let me type numbers :(.:
D. Calculate the electric force (F.) between an electron and
proton that are 5.29 x 10-11 meters apart.
Answer:
See below
Explanation:
F = C q1 q2 /r^2
8.988 x 10^9 * (1.60217 x 10^-19)^2 / ( 5.29 x 10^-11)^2 =
.00000008244 N
82.4 nano N
Vector A points north and vector B points east. If c = B - A , then vector C points where?
Answer:
South of East
Explanation:
If vector A points north and vector B points east, then vector C, calculated as C = B - A, will point in the direction of the resultant vector when subtracting vector A from vector B. Vector C points in the northeast direction.
Since vector A points north and vector B points east, we can visualize this on a coordinate plane. Let's assume that vector A has a magnitude of 1 and vector B has a magnitude of 1 as well. Vector A would be pointing directly upward (north), and vector B would be pointing directly to the right (east).
When subtracting vector A from vector B (C = B - A), we can visualize it by starting at the tail of vector A and drawing the resultant vector to the head of vector B. The resultant vector C would be a diagonal vector pointing northeast, forming a 45-degree angle with the positive x-axis. Therefore, vector C points in the northeast direction.
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Kinetic is calculated using ___
Answer:
Ek= 1/2*m*v^2
Explanation:
kinetic energy= 1/2* mass * square velocity
Vector approach in solving forces in 3d
Answer:
[tex] \red{ \rule{1pt}{500000pt}}[/tex] [tex] \red{ \rule{1pt}{500000pt}}[/tex]
Explanation:
which is closely related to a whale? a shark, a toad, an alligator, a penguin or a bat?
Answer:
Any artidiodactyls such as hoofed animals. Deer, camels, cows, pigs, hippos are just some that are closely related to the whale.
A lamp is 15% efficient. How much electrical energy must be supplied to the lamp each second if it produces 30 J of light energy per second? *WILL MARK BRAINLIEST*
200 Joules should be supplied in the circuit.
Efficiency = output/inuptHere the output is 30J and input is missing
[tex]\sf \dfrac{30}{I} * 100 = 15[/tex]
multiplied with 100, to covert it into percentage
[tex]\sf 3000 = 15(I)[/tex]
[tex]\sf I = \dfrac{3000 }{15}[/tex]
[tex]\sf I = 200J[/tex]
Let that be X
Efficiency is 15% means the lamp produces 15J of light energy when 100J energy applied.[tex]\\ \rm\Rrightarrow \dfrac{30}{x}(100)=15[/tex]
[tex]\\ \rm\Rrightarrow 3000=15x[/tex]
[tex]\\ \rm\Rrightarrow x=200J[/tex]
A student uses a candle to model the process of an existing rock becoming an igneous rock. Which procedure best demonstrates the formation of an igneous rock?A) Melt the candle in a dish on a hotplate and keep it in liquid form.B) Break the candle into small pieces and crush the small pieces until they stick together.
C) Place books on top of the candle to apply pressure, and then heat it so its composition changes.D) Hold the lit candle over a small dish, and then let the melted candle wax that drops into the dish cool and harden.
Answer:
D) Hold the lit candle over a small dish, and then let the melted candle wax that drops into the dish cool and harden.
N:B-- IT MUSTN'T REMAIN IN LIQUID FORM; IT MUST COOL & SOLIDIFY.
Explanation:
Igneous rocks are formed when magma cools and solidifies in the earth's crust.
Their characteristics are;Crystalline in nature.Are massive.Lack fossilsAn aircraft starts at rest and is accelerated for 9.2 seconds, at which time the aircraft launches. If the distance traveled from the starting point to the launch point was 428.8 m, what was the launch velocity of the aircraft in m/s? Assume the acceleration is constant. (Hint: multi-step problem).
Explanation:
Since the acceleration is constant, we use the big four equations.
[tex]x = x _{i} + vt[/tex]
[tex]x = \frac{1}{2} a {t}^{2} + v _{i}t + x _{i}[/tex]
[tex]v {}^{2} = (v _{i}) {}^{2} + 2a(x - x _{i})[/tex]
[tex] \frac{1}{2} (v + v _{i})t = x - x _{i}[/tex]
Next. identity the variables.
We know
t=9.2
change in position or (x- x_i) is 428.8
Initial Velocity is 0.
We need to solve for the final velocity, so we use the fourth equation.
[tex] \frac{1}{2} (v - v _{i})t = x - x _{i}[/tex]
Subsitue
[tex] \frac{1}{2} (v - 0)(9.2) = 428.8[/tex]
[tex] \frac{1}{2} (v)9.2 = 428.8[/tex]
[tex]v = 93.22 \frac{m}{s} [/tex]
6. A spring is originally 1.5 m long. It is stretched so that it is 1.8 m long. The spring constant is 50 N/m.
Find the potential energy stored in the spring.
Answer:
PE = 1/2 K X^2
K = 50 N/m
X = .3 m
PE = 1/2 * 50 * .3^2 = 2.25 Joules
Match the missions with their objectives.
NEAR
Lunar Prospector
Deep Impact
SETI
mapping the Moon's surface composition,
looking for possible deposits of polar ice,
and examining the Moon's resources,
structure, and origins
first space probe to orbit and perform
an in-depth Investigation of an asteroid
searching for extraterrestrial life in the universe
probing beneath the surface of a comet to
obtain clues about its internal composition
and structure
Matching the missions with their objectives
NEAR -------> First space probe to orbit and perform an in-depth Investigation of an asteroid. Lunar prospector ----- > mapping the Moon's surface composition,looking for possible deposits of polar ice,and examining the Moon's resources,structure, and origins.Deep Impact -------> probing beneath the surface of a comet to obtain clues about its internal composition and structureSETI -----> searching for extraterrestrial life in the universeThe Mission OverviewThe NEAR ( Near Earth Asteroid Rendezvous ) is a mission whose objective is to study origin and nature of objects near the earth such as asteroids and comets.
Lunar prospector was a mission designed to perform an orbit investigation of the moon.
The deep impact mission created by NASA was to probe beneath the comet and discover the structure and composition. The deep impact projected lasted for 9 years in space.
Hence we can conclude that the missions and their objectives are as listed above.
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