1) a solid sphere has a radius of 5 cm and a mass of 350 grams. what is its average density? a hollow sphere has the same radius and mass. what is its average density?

Answers

Answer 1

To calculate the average density of the hollow sphere learn the radius and density.

What is radius?

Simply halving the circle's diameter yields the radius formula. The radius of the ring is the line segment formed when we join a point on a circle's circumference to the exact center. The radius of a circle is the distance separating its center from its perimeter.

What is density?

When a material is packed tightly, it is said to have a high density. Its definition is the ratio of mass to volume. Density begins with the letter D. density formula is given as = m/V for objects with masses m and volumes V.

Volume of solid sphere = 4 pi r^3 / 3

      = 4 x pi x 5^3 / 3

      = 523.6 cm^3

 mass = 350 g

average density = mass / volume  

        = 0.668 g/cm^3   Or 668 kg / m^3  

If Sphere is hollow, then also it will acquire same volume in the space.

hence average velocity will not change.

Therefore,  its average density is 0.668 g/cm^3   Or 668 kg / m^3

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Related Questions

A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.

Answers

The astronomer on duty going to have a bit of a problem satisfying her request because after a white dwarf cools off it will become too cold and dark to emit seen light.

The enlargement and contraction of pulsating variables can be measured through the use of the Doppler impact. The lines in the spectrum shift in the direction of the blue because the floor of the celebrity moves closer to us and then shifts to the pink because the surface shrinks again.

Astronomers take a look at planets, stars, and different celestial bodies. They use ground-based devices, including optical telescopes, and area-based total gadgets, consisting of the Hubble Space Telescope. some astronomers look at distant galaxies and phenomena which include black holes and neutron stars.

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Why do jovian planets bulge around the equator, that is, have a squashed appearance?.

Answers

The mass near the equator is thrown outward by their quick rotation. In comparison to any terrestrial planet, the jovian planets rotate significantly more quickly.

A planet would be spherical due to gravity alone, but due to their rapid rotation, material around the equator is thrown outward, flattening out their spherical outlines. At some point, a part of this matter falls toward the center and forms a star, and the rotating cloud starts to flatten into a disk. Planets are created from this moving protoplanetary disk of gas and dust, leading to a comparatively flat solar system. Synchronous rotation is the name given to this kind of rotation. To find out more about synchronous rotation, click here. The small moons outnumber the big moons by a wide margin.

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a ball traveling at 3 m/s east hits a wall and bounces off heading west traveling at 2 m/s. if the change in direction took 0.4 second, what is the average acceleration of the ball?

Answers

The average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.

What are the Equations of motion?

Equations of motion in physics refer to a group of equations that can describe how a physical system behaves in terms of how it moves through time. The relationship between parameters like velocity, location, and acceleration that are measured at different intervals of time is thus the definition of the equation of motion.In one, two, and three dimensions, an object's motion is governed by the three equations of motion.

These equation are used when the body is moving in a constant acceleration and along a straight line. The following are the three equations:

First equation of motion: v = u + atSecond equation of motion: s = ut + at^2/2Third equation of motion: v^2 = u^2 + 2as

The following informations are given in the question,

u = Initial velocity of the ball = 3m/s along East

v = final velocity of the ball = 2m/s along West

t = time = 0.4 seconds

Using the 2nd equation of motion, we find the accelertaion, a of the ball-

v = u  + at

-2 = 3 + a x 0.4

-5 = a x 0.4

a = - 5 /0.4

  = - 12.50 m/s^2

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Hence, the average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.

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calculate the frequency of a photon of electromagnetic radiation for red light (750 nm). group of answer choices

Answers

Using the theories of electromagnetic radiations, we got that  4×[tex]10^{4}[/tex]nm. is the  frequency of a photon of electromagnetic radiation for red light

We know very well that there is a relation between velocity of light, frequency and wavelength of light.

The relation is given by c=vλ where v is the frequency of light and λ is the wavelength of the light.

We are given for wavelength as 750nm or 750×[tex]10^{-9}[/tex]m

We, know that speed of light is =[tex]10^{8}[/tex]m/sec

So putting the values in formula, we get

=>3×[tex]10^{8}[/tex]=v×750×  [tex]10^{-9}[/tex]

=>v=(3/750)×[tex]10^{17}[/tex]

=>v=0.004×[tex]10^{17}[/tex]

=>v=4×[tex]10^{13}[/tex]m or 4×[tex]10^{4}[/tex]nm.

Hence, the frequency of a photon of electromagnetic radiation for red light(750nm) is 4×[tex]10^{4}[/tex]nm.

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Which of the following has the greatest momentum?

a) turtle with a mass of 100 kg moving at a velocity of 1.0 m/s

b) tortoise with a mass of 300 kg moving at a velocity of 0.5 m/s

c) roadrunner with a mass of 2 kg moving at a velocity of 7 m/s

d) hare with a mass of 200 kg moving at a velocity of 7 m/s

Answers

Answer:

I believe the hare (option d)

Explanation:

Momentum is an objects mass multiplied by its velocity

Answer:

Explanation:

a)

p₁  =  m₁·V₁ = 100·1.0 = 100 kg·m/s

b)

p₂  =  m₂·V₂ = 300·0.5 = 150 kg·m/s

c)

p₃  =  m₃·V₃ = 2·7 = 14 kg·m/s

d)

p₄  =  m₄·V₄ = 200·7 = 1400 kg·m/s

The greatest momentum:

d) hare with a mass of 200 kg moving at a velocity of 7 m/s

p = 1400 kg·m/s

How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.

Answers

The angle at which the light ray hits the glass plate (angle of incidence) is equal to the angle at which it emerges from the opposite side.

The angle of incidence is equal to the reflected angle through the law of reflection

The angle of incidence is the angle between a ray on a surface and the line perpendicular to the surface at the point of incidence. The light beam chooses the shortest path to the target, so the angle of incidence is equal to the angle of reflection. This behavior of light is known as Fermat's principle. Rays behave similarly when reflected from flat surfaces. Therefore, the angle of incidence and the angle of reflection are the same

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HELP PLEASE: A volcano that has not erupted in a very long time suddenly has a plume of steam coming from it. Which best describes this volcano?

was dormant and is now active
was quiet and is now active
was extinct and is now explosive
was dormant and is now explosive

Answers

A. was dormant and is now active

Explanation:

Quiet and extinct are not the words to describe a volcano that has not erupted in a very long time. Those are called dormant. When they are starting  to heat up, steam, or erupt, they are now active.

" I hoped i helped you, Chancey : - ) "

Answer:

Almost explosive I guess

jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline.

Answers

I think she’s gonna jump in the center and jocelyn will jump higher and Jennifer will jump at about the same pace as before.(trust me childhood experiences)

A car accelerating from 10m/s to 25m/s
in 6sec find average acceleration

Answers

Explanation:

Avrage acc= ◆velocity/ ◆Time

Av acc =25-10/6-0

Av acc = 15/6= 2.5 m/s^2

switches that support a(n) _______________ transceiver can connect a variety of gigabit types.

Answers

switches that support a(n) SFP port transceiver can connect a variety of gigabit types.

A gigabit switch is a type of network switch which is typically Ethernet based, that allows devices to be connected to a LAN at speeds of 1 Gbps or higher. An SFP port or small form factor pluggable port on a network device is a slot where SFP transceivers are connected and it allows gigabit switches for connecting to a variety of Ethernet and fiber cables for extending the functionality of switching through the networks.

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A car traveling in a straight line has a velocity
of 3.58 m/s at some instant. After 6.72 s, its
velocity is 11.9 m/s.
What is its average acceleration in this time
interval?
Answer in units of m/s

.

Answers

Answer: 1.2381 m/s

Explanation:

vf=vi + at

11.9 = 3.58 + a(6.72)

8.32 = a(6.72)

1.2381 m/s = a

a car crashes into a large tree that does not move. the car goes from 30 m/s to 0 in 1.3 m. (a) what impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) what is the average force applied to the driver by the seatbelt?

Answers

a) 1890 N sec impulse is applied to the driver by the seatbelt .

b) the average force applied to the driver by the seatbelt is 24.23 N

What is impulse ?

In classical mechanics, momentum (symbolized by J or Imp) is the integral of force F over the time interval t over which the force acts. Since force is a vector quantity, momentum is also a vector quantity. The SI unit of momentum is the Newton second (N s), and the dimensional equivalent unit of momentum is the kilogram meter per second (kg m/s). The equivalent British engineering unit is pound second (lbf⋅s), and in British gravitational systems the unit is slug feet per second (slug⋅ft/s). A resultant force causes an acceleration and a change in the velocity of a body as long as the body is acting on it. Therefore, a net force applied over a long period of time produces a larger change in linear momentum than the same force applied for a short period of time.

The change in momentum is equal to the average force multiplied by the duration. Conversely, a small force applied for a long period of time produces the same change in momentum (same momentum) as a large force applied for a short period of time.

A)

Impulse, J = mv

J = 70 x 27

J = 1890 N sec

B)

Average force, F = 1890/(1.3 x 60) = 24.23 N

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Which system works with the nervous system to influence your heart rate?

the immune and lymphatic system
muscular system
endocrine system
integumentary system

Answers

It is the endocrine system! Have a great day

what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .

Answers

The moment of  inertia of i is [tex]x^{2} (m_{1}+m_{2}+\frac{m_{r}}{3})[/tex]

To find the moment of inertia can be determined as follows:

First we need to identify the given data

[tex]m_{1}[/tex] = the mass of sphere 1

[tex]m_{2}[/tex] = the mass of sphere 2

[tex]m_{r}[/tex] = the mass of the rod

[tex]x[/tex] = the distance between sphere 1 and pivot

[tex]x[/tex] = the distance between sphere 2 and pivot

[tex]2x[/tex] = total length of the rod

Next, we need to identify the expression of moment of inertia of sphere and the expression of moment of inertia of rod

[tex]I = mr^{2}[/tex].....(1)

[tex]I = \frac{ml^{2} }{12}[/tex]......(2)

Then, we need to substitute the values in equation 1 for each moment of inertia of sphere 1 and sphere 2

[tex]I_{1} = m_{1} x^{2}[/tex]

[tex]I_{2} = m_{2} x^{2}[/tex]

Substitute the values in equation 2 for moment of inertia of the rod

[tex]I_{r} = \frac{m_{r}(2x)^{2} }{12} \\I_{r} = \frac{m_{r}4x^{2} }{12} \\I_{r} = \frac{m_{r}x^{2} }{3}[/tex]

The total moment of inertia can be determined as

[tex]I = I_{1}+I_{2}+I_{r}\\I = m_{1}x^{2} + m_{2}x^{2}+\frac{m_{r}x^{2}}{3} \\I = x^{2} ( m_{1} + m_{2}+\frac{m_{r}}{3})[/tex]

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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.

Answers

The angle at which a ray of light strikes a pane of glass (perspective of occurrence) is the same as the angle at which it passes out the opposite side.

If the angle of refraction in the air becomes 90°, the attitude of prevalence inside the glass is called the crucial attitude; if the perspective of incidence in the glass is extra than the vital angle, overall internal reflection occurs.

A light ray in the air is incident on an air-to-glass boundary at an attitude of forty-five. zero levels and is refracted in the glass of 30. zero degrees with the regular. This 'bending of a ray of light when it passes from one substance into some other substance is referred to as refraction. The bending of a ray of light also happens when the ray comes out of glass or water and passes into the air.

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Using the information given in the problem introduction and assuming that the third driver is telling the truth, determine whether driver n has reported his speed correctly. Specifically, if driver e had been traveling with a speed of exactly 12 meters per second before the collision, what must driver n's speed have been before the collision?.

Answers

Assuming that g, the gravity's acceleration, is 9.81 meters a second per sec. Driver N travels at a speed of 22.1594 m/s.

Another name for a collision is what?

Concussion, impact, or shock are a few popular alternatives to the word collision. All of these terms refer to "a forceful, even violent touch among two or more things," but collision denotes the coming all together two or more things so violently that both or all of them sustain damage or have their progress significantly hampered.

In physics, what is a collision?

When particles, collections of particles, and solid entities travel in the same direction and get close enough to one other, they collide and exert mutual force.

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4. a motorist enters the exit ramp of a highway at 40 km/h and immediately applies the brake so that the magnitude of the acceleration of the car at a is 1.5 m/s2. if the tangential acceleration is maintained, how far will the car travel before coming to a stop?

Answers

The car can travel before coming to a stop is about 26.66seconds.

Explain what an acceleration is.

Any process that causes a change in velocity is referred to as an acceleration. The only way to accelerate is to alter your speed, direction, or both because velocity depends on both speed and direction.

Acceleration is measured in metre per second per second (m/s2). Definition. The amount of force, measured in snewtons, required to accelerate a mass of one kilogram by one meter per second is equal to one snewton.

Given,

v = 40 km/h

a =  1.5 m/s²

t = v/a

t = 40/1.5

t = 26.66seconds

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what is the most significant difference between the great dark spot of neptune and the great red spot of jupiter? view available hint(s)for part a what is the most significant difference between the great dark spot of neptune and the great red spot of jupiter? the clouds travel in opposite directions. relative to its planet's size, the great dark spot is much larger than the great red spot. the great dark spot has disappeared, whereas the great red spot has been seen for hundreds of years. the great dark spot is not a large storm system but rather a sort of hole in the atmosphere.

Answers

There are various differences that differ the Great dark spot from the Great red spot, the major difference seen is Its ability to shift to North and south over time, while the Great Red spot is held steady by global east-west winds.

Also, the Great dark spot is Disappeared, where as the great red spot is still visible. There is a possibility for this that the great dark spot must have shifted to some other location, but this is not possible for this much long period so this could be the limit of observations from the Hubble telescope.

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Concrete has a density of 2400 kg/m³. Calculate the mass of 150 m³ of concrete in kilograms.

Answers

Answer: 360000 kilograms

Explanation: Just have to multiply 2400 by 150 for your answer

Explain the interplay between electric and magnetic forces in an electric generator.

Answers

Answer:

See explanation.

Explanation:

To start with, an electric generator uses an A.C circuit power supply which means the current alternates throughout. Firstly, the magnetic field/direction produced by the magnets (N-pole and S-pole) cause the rectangular coil between to turn (you can figure out the direction of the force and current using Fleming's Right Hand Dynamo rule). Alongside, as the coil turns, it cuts through the produced magnetic field by the magnets to induce E.M.F (electromotive force) and then the voltage/current travels to the secondary coil where it is either stepped up or down as needed hence transforming the input voltage.

Classify each planet as an inner planet or an outer planet.
Planet A has 67 moons, and
major parts of its atmosphere
are hydrogen and helium.
Planet B has rings but
not much atmosphere.
Planet C has no moons but
has high volcanic activity
Known as the red planet, planet
D has high amounts of carbon
dioxide in its atmosphere and
has two moons.
Planet E has a thin layer of
atmosphere but no moons due
to the effects of the Sun’s gravity.
Planet F has 27 moons, and its
atmosphere is mostly composed
of hydrogen, helium, and methane.

Answers

Planets A, B and F are the outer planets.

Planets C, D and E are the inner planets .

What are outer and inner planets ?

Outer planets: These are four in number which are Jupiter, Saturn, Uranus and Neptune. The atmosphere of these planets are mainly made up from hydrogen and helium. These planets have many number of moons around them and they all have ring systems.

Inner planets: These are four in number which are Mercury, Venus, Earth and Mars. The atmosphere of these planets are made up from mixture of gases. Main gases are nitrogen and carbon dioxide. These planets have maximum moons of 2 around them and they does not have ring systems.

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a 78 kg man is wearing sneakers size 11.5 standard, which means that the sole of his shoe is approximately 29.2 cm long and 11.7 cm wide. what average pressure does he exert on the ground if he stands on one leg?

Answers

He exert 2.65 × [tex]10^{4}[/tex] N/m2 pressure on the ground if he stands on one leg.

What is pressure ?Pressure refers to as the physical force exerted on an object. The applied force  is perpendicular to the surface of the object per unit area. The standard formula for pressure is F/A (force per unit area). The unit of pressure is called Pascal (Pa). Pressure types include absolute, atmospheric, differential, and gauge.Pressure is usually measured in units of force per unit  area (P = F/A). In physics, the symbol for pressure is p and the SI unit for measuring pressure is pascal. Pascal is the force of 1 Newton per square meter acting perpendicular to a surface. This is a key concept in fluid mechanics and is used in the ideal gas law to describe the energy of gases and many other situations.

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A wave has a wavelength of 12 meters and a frequency of 10 hz. What is its velocity.

Answers

Answer:

120 m/s

Explanation:

v = wl * f = 12 m  * 10 /s = 120 m /s

Answer:

[tex] \huge{ \bold{120 \: m/s}}[/tex]

Explanation:

The velocity of the wave given it's wavelength and frequency can be found by using the formula

[tex] \bold{c = f \times \lambda}[/tex]

c is the velocity

f is the frequency

[tex] \lambda[/tex] is the wavelength

From the question

f = 10 Hz

[tex] \lambda[/tex] = 12 m

We have

[tex]c = 10 \times 12 = 120[/tex]

We have the final answer as

120 m/s

Hope this helps you

a black cat starting from rest accelerates uniformly at 1.2m/s/s for 2.4 seconds. what distance did the cat cover after the acceleration?

Answers

The distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] For 2.4 seconds after the acceleration is 3.456 meters.

What is acceleration?

Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or points traveling straight forward. Even though the speed is constant, motion on a circle increases because of the constant change in direction.

Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity.

Given:

The initial acceleration, a = 1.2 [tex]m/s^2[/tex],

The time, t = 2.4 seconds,

Calculate the distance by the following formula,

[tex]s = u * t + 1 / 2 * a * t^2[/tex]

Here s is the distance.

Substitute the values,

s = 0 * 2.4  + 1 / 2 * 1.2 *[tex]2.4^2[/tex]

s = 3.456 meters

Therefore, the distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] for 2.4 seconds after the acceleration is 3.456 meters.

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A ball is thrown at an angle of 40 degrees with a velocity of 20 m/s from a rooftop that is 15 meters high.
a) How high will the ball reach above the ground?
b)How much time will it be in the air?
c)How far form the edge of the building will it land?
d)What is the velocity including angle as it hits?

Answers

a)A ball is thrown at an angle of 40 degrees, the ball reach the height  is 8.24m

b)Time taken by the ball in the air is 2.620 s.

c) far form the edge of the building will it land is 86.24m.

a) Maximum height is given as :

H = (v₀ sinθ)²/2g

H = (20 x 0.642)²/(2 x 9.8)

H = 8.24m

b) Time taken by the ball :

T = 2v₀ sinθ/g

T = (2x 20 x 0.642)/9.8

T = 2.620 s

c) far form the edge of the building will it land:

range is calculated as :

R = v₀ sin2θ/g

R = (20 x 0.022)/9.8

R = 86.24m

a)A ball is thrown at an angle of 40 degrees, the ball reach the height  is 8.24m

b)Time taken by the ball in the air is 2.620 s.

c) far form the edge of the building will it land is 86.24m.

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a cannon fires a cannonball straight up. what is the magnitude of the cannonball's acceleration at the top of its path assuming no air resistance?

Answers

Although the forces are equal and opposite, the acceleration is greater since the cannonball's mass is much lower.

What is acceleration?Acceleration is the name we give to the process of changing velocity. Velocity is both speed and  direction, so there are only two ways  to forces.Change speed, change direction, or  change both.Acceleration is the rate of change of velocity over a specified period of time. Calculate acceleration by dividing the change in velocity by the change in time acceleration. Velocity refers to the rate of change of displacement. Velocity is a vector quantity as it consists of both magnitude and direction. Since acceleration is  the rate of change of velocity, it is also a vector quantity.

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Impulses are sudden and powerful urges. Where does their energy come from?


A. It comes from high-speed neurons in the brain.
B. It comes from being encouraged by peers.
C. It comes from bypassing the prefrontal cortex.
D. It comes from conscious repetition.

Answers

Answer:

From psychology

It comes from bypassing the prefrontal cortex

So yes, The answer will be C.

It comes from bypassing the prefrontal cortex. Explanation: The prefrontal cortex controls the executive functions of the brain.

Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower.

Answers

The Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.

What is u.s. armed force?

The American military is comprised of the United States Armed Forces. There are six service branches in the military: the Army, Marine Corps, Navy, Air Force, Space Force, and Coast Guard. The Department of Defense (DoD) and Department of Homeland Security (DHS), both federal executive departments, serve as the main vehicles by which military policy is carried out.

How many army forces are present in the u.s. armed force?

The Navy, Air Force, and U.S. Army are the three services with the most active personnel. The U.S. military is vastly outnumbered by China, even though it had over 1.4 million members in 2021. In terms of military expenditure, the US truly reigns supreme. The amount per person in 2021 was 2,186 dollars.

As a cadet at the United States Military Academy at West Point, Dwight D. Eisenhower took the oath in June 1911, officially beginning his military career. He attended West Point with Omar Bradley's class and graduated in June 1915. He was then commissioned as a second lieutenant in the American Army.

Therefore we can conclude that Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.

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g how long will it take a 3500- w motor to lift a 365- kg piano to a sixth-story window 18.0 m above?

Answers

Lifting a 365-kg piano to a window on the sixth floor will require a 3500-w motor in 17.6 seconds. In a motor, electrical energy is transformed into mechanical energy.

According to estimates, motors use close to half of the energy utilized worldwide. An electrical device known as a DC motor transforms electrical energy into mechanical energy. Direct current, which is used as an electrical energy source in a DC motor, is converted into mechanical rotation.

P= 3500 W m = 350 h = 18m for Data Part A given.

Energy needed is known to be mah,

which is 350 x 9.8 x 18 J, or 61 74 0 J.

As it also known, Power = Energy/Time.

Time = Energy/Power = 61740/350 0 T = 17. 64S

Time taken therefore equals 17.6 seconds.

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The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called.

Answers

The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called domain

A magnetic domain is a region  in which the magnetization is in a same  direction or it can be said that , domain is that region in which  the individual magnetic moments of the atoms are aligned with one another and  point in the same direction. The alignment of magnetic moment in same direction constitutes  a domain

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In Federalist No. ______, Alexander Hamilton wrote about limiting the power of the president to declare war to those times when the United States is directly attacked. Not all parts of a gene code for a protein. A non-coding section is called an intron. You know that base sequences are transcribed into mRNA andthen translated into protein. How might a cell prevent an intron from being expressed as a protein? (1 point)O remove the intron before translation occursO copy the intron before transcription occursO remove the intron before transcription occursO copy the intron during translation Robert pushes the box to the left at constant speed. In doing so, robert does ______ work on the box. Write an equation for the line in the following problems.I NEED THIS ASAP What is the area of a quadrilateral with vertices at (1, 1), (5, -1),(1,5), and (5,5)? Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 3 hours, plus Dave gave the driver a 10% tip. How much did he spend in total for the hourly charges plus tip? A. $252 B. $189 C. $287 D. $231 A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomrua in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from "Cognitive Behavioral Therapy vs Zopiclone for Treatment of Chronic Primary Insomrua in Older Adults," by Sivertsen et al., Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopiclone, subjects have a mean wake time of less than 102.8 min. Does zopiclone appear to be effective? Nearly all stimuli destined for the cerebral cortex must first pass through the ________. An arithmetic sequence is shown below:150, 100, 50, 0, -50, ....Construct the explicit formula to represent the sequence above. (Rubric 1B)ARITHMETIC SEQUENCE an= a1 + (n1)d How do I put 8x=26+14y in standard form the infection of a digital device by a computer virus happens in stages. what is the second step in this process? The revenue for a business, as a function of units produced, x, is shown belowby R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.R(x) = 12xC(x) = x + 264 What are the differences between the two early educators? How did setting up the environment, observing the children, and joining in the play make a difference in the situation? owners of a limited liability company: group of answer choices have unlimited liability for contracts entered into by the llc. can transfer their membership as a personal property interest. cannot assume any management responsibilities. all of the above A soccer player practices kicking the ball into the goal from halfway down the soccer field. The time it takes for the ball to get to the goal from the time it is kicked averages about three seconds. The soccer field is 90 meters long. The player wants to know the average velocity of the ball. Is there enough information to calculate this?A No, only average speed can be calculated from the distance of 45 meters and the time of three seconds.B Yes, displacement is 45 meters, elapsed time is three seconds, and the direction is toward the goal.C No, only average speed can be calculated from the distance of 90 meters and the time of three seconds.D Yes, displacement is 90 meters, elapsed time is three seconds, and the direction is toward the goal. The Nazi dictatorship controlled the populationthrough a combination of terror and (fill the blank) (information which is biased andaims to communicate a political message). Why would early Homo sapiens follow large herds of animals? Based on these maps, which state listed below was located in the Southeast Native American cultural region?hurrry up pls claire corporation is planning to issue bonds with a face value of $140,000 and a coupon rate of 8 percent. the bonds mature in two years and pay interest quarterly every march 31, june 30, september 30, and december 31. all of the bonds were sold on january 1 of this year. claire uses the effective-interest amortization method and does not use a discount account. assume an annual market rate of interest of 12 percent. (fv of $1, pv of $1, fva of $1, and pva of $1) What happens to form the brown spots on a tlc plate when you place the developed tlc plate in an iodine chamber?.