Methane is compressed adiabatically from 100kpa and 25oc to 200kpa. what is the minimumcompressor exit temperature possible? explain

Answers

Answer 1

The answer to the given question is 820 Kelvin. Gauss' Law demonstrates how electric fields, E, can be produced by static electricity, q. Gauss' Law, which bears the name of German physicist Carl Friedrich Gauss, is the third of Maxwell's four equations. According to Gauss' Law, an electric charge, qv, or static electricity, produces an electric field, E. (voltage).

This question is an application of Gauss Law, which states that the pressure P and temperature T of an ideal gas are directly proportional to one another. In other words, adiabatic increase in pressure will result in the same rise in temperature. Mathematically,

it can be written as: 

P1/ T1 = P2/ T2

Therefore, Temperature T2 = 275 kPa * 298K / 100 kPa = 820 K. Thus, the minimum compressor exit temperature possible is 820 Kelvin.

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Related Questions

Date: 09/10/2022

What is the equation to finding time using acceleration..

Is it:

T = V - U / A
——————————

Answers

Answer:

yes it's the right answer...............

Light with a frequency of 7. 30 x 1014 hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light? please answer in nm and round to the nearest whole number.

Answers

Light with a frequency of 7.30 x 10¹⁴ that lies in the violet region of the visible spectrum has a wavelength of 412nm.

What is wavelength?

The wavelength of light can be defined as the distance between two successive crests, or troughs of a wave of light, usually denoted by the Greek letter, lambda (λ).

Wavelength is directly proportional to frequency. This means that the shorter the wavelength, the higher the frequency. To find the wavelength of any electromagnetic wave if we are given the frequency, we use the following formular:

                    λ = [tex]\frac{v}{f}[/tex]

Where;

λ represents the wavelengthv is the velocity of lightf is the frequency of the wave

The velocity or speed of light is the same for all electromagnetic waves which is 3 x 10⁸m/s. We are already given the frequency in the question as 7.30 x 10¹⁴hz. Putting these values into the formular:

                      λ = 3 x 10⁸/7.30 x 10¹⁴

                      λ = 4.12 x 10⁻⁷m

However, to convert the wavelength from meter to nanometer, we would have to multiply the answer by 10⁹. Therefore;

                  λ = 4.12 x 10⁻⁷m x 10⁹ = 412nm

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A popular website is interested in conducting a survey of 400 visitors to the website in such a way that 200 of them will be under age 30, 150 will be:_________
aged 30-55, and 50 will be over 55.

Answers

150 will be: stratified sample.

The partitioning of a population into smaller subgroups known as strata is a key component of the sampling technique known as stratified random sampling. In stratified random sampling, also known as stratification, the strata are created based on the shared traits or features of the members, such as wealth or level of education. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

Proportional or quota random sampling are other names for stratified random sampling. Researchers can produce a sample population that most accurately represents the whole population under study using stratified random sampling. Sampling is the process of drawing conclusions about a population using a small sample.

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The electric field 1.8 cm from a small object points toward the object with a strength of 180,000 n/c. what is the object's charge?

Answers

Charge,Q = 6.48 × [tex]10^-^9[/tex] C

How is the object's charge calculated?

It is given that,

Electric field strength, E = 180000 N/C

Distance from a small object, r = 1.8 cm = 0.018 m

Electric field at a point is given by :

[tex]E=\frac{KQ}{r^2}[/tex]

Q is the charge on an object

[tex]Q=\frac{Er^2}{k}[/tex]

Q = [180000 × [tex](0.018)^2[/tex]] ÷ 9 × [tex]10^9[/tex]

Q = 6.48 × [tex]10^-^9[/tex] C

So, the charge on the object is Q = 6.48 × [tex]10^-^9[/tex] C . Hence, this is the required solution.

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The big o notation of the worst case scenario of pushing back an element into a queue implemented using a list is _______________

Answers

The big o notation of the worst-case scenario of pushing back an

element into a queue implemented using a list is Array or a Linked list.

What is an array?

A queue could be implemented as an array or a linked list with very different insertion, removal, and indexing characteristics.In computer science, an array is a data structure consisting of a collection of elements, each identified by at least one array index or key. An array is stored such that the position of each element can be computed from its index tuple by a mathematical formulaThe array in C has a fixed size, which means that once the size is specified, it cannot be changed; you cannot shrink or expand it. The rationale behind this was that, when expanding, we cannot always be certain that we will receive the subsequent memory location for free (it is not always possible). The array is memory statically allocated when it is declared, making it impossible to shrink because only the compiler has the power to do so.The first element of the array is indexed by the subscript 0, for zero-based indexing; by the subscript 1, for one-based indexing; and by the subscript n, for N-based indexing. An array's base index can be chosen at will. Negative index values are typically permitted in programming languages that support n-based indexing, and other scalar data types, such as enumerations or characters, may also be used as array indexes.

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The acceleration due to gravity on planet X is
one-fifth that on the surface of the earth.
If it takes 3.8 s for an object to fall a certain
distance from rest on earth, how long would
it take to fall the same distance on planet X?
Answer in units of s

Answers

The time taken for the object to fall the same distance in planet X is determined as 8.5 seconds.

Time of motion of the object planet X

The time taken for the object to fall the same distance on planet X is calculated as follows;

t = √2h/g

where;

h is height of fallg is acceleration due to gravityt is time of motion

t² = 2h/g

gt² = 2h

g₁t₁² = g₂t₂²

t₂² = g₁t₁²/g₂

t₂² = (g₁ x 3.8²) / (0.2g₁)

not e one-fifth = 1/5 = 0.2

t₂² = 72.2

t₂ = √72.2

t₂ = 8.5 seconds

Thus, time taken for the object to fall the same distance in planet X is determined as 8.5 seconds.

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I'm stuck. don't know how to solve this

Answers

Since motion under gravity only act on the vertical component of the velocity, the answer for both vertical and horizontal variables are;

a.) 9.8 m/s², 0

b.) 0, 18 m/s

c.) 21.2 m/s, 0

d.) 23 m, 39 m

e.) 2.2 s

Motion Under Gravity

Motion of any object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.

From the question, the following parameters are given.

Height h = 23 mInitial velocity u = 18 m/s

a.) The vertical acceleration will be equal to acceleration due to gravity which is equal to 9.8 m/s². While the horizontal acceleration will be equal to zero.

b.) The vertical initial velocity is zero. Vertically, it will be assumed that the stone is dropped. While the given initial velocity is the horizontal initial velocity which is 18 m/s

c.) The vertical final velocity V can be calculated by using the formula

V² = U² + 2gH

V² = 0 + 2 × 9.8 × 23

V² = 450.8

V = √450.8

V = 21.23 m/s

Motion under gravity only act on the vertical component of the velocity. so, horizontal final velocity is equal to zero.

d.) Vertical distance = 23 m

While the horizontal distance = Range = ut

e.) Both the vertical and horizontal time will be the same. We can calculate the time by using the formula

h = ut + 1/2gt²

Vertically, u = 0

23 = 0 + 1/2 × 9.8 × t²

23 = 4.9t²

t² = 23/4.9

t² = 4.694

t = √4.69

t = 2.166 s

t = 2.2 s

so, the range = 18 × 2.166 = 38.997 m

Therefore, the time taken is 2.2 and the range is approximately 39 m.

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If the density of a metal sample is 1.56 g/l and the volume of the sample is 250ml, calculate the mass of the metal sample. group of answer choices

Answers

The metal sample with a density of 1.56 g/l and a volume of 250ml , has a mass of: b) 0.39 grams

The density formula and the procedure we will use is:

ρ = m/v

Where:

v= volumeρ= densitym= mass

Information about the problem:

ρ= 1.56 g/Lv= 250mlm= ?

Converting the volume unit from mL to L, we have:

250 mL * (1 L / 1000 mL) = 0.25 L

Applying the density formula and clearing the mass (m), we get:

m = ρ * v

m = 1.56 g/L* 0.25 L

m = 0.39 g

Although part of your question is missing, you might be referring to these group of answer choices: a)6.24 grams; b)0.39 grams; c)0.16grams; d) 0.59 grams

What is density?

It is a physical quantity that expresses the ratio of the body mass to the bit occupies.

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If 720- nm and 660- nm light passes through two slits 0.61 mm apart, how far apart are the second-order fringes for these two wavelengths on a screen 1.5 m away?

Answers

The distance between the second-order fringes for these two wavelengths is 0.3 × 10—³ m.

The wavelength of first light is,

[tex]λ _{1} = 720 \: nm = 720 \times 10 ^{ - 9} \: m[/tex]

The wavelength of the second light is,

[tex]λ _{1} = 660 \: nm = 660 \times 10 ^{ - 9} \: m[/tex]

The separation is d.

d = 0.61 mm

[tex]d = 0.61 \times 10 ^{ - 9} \: m[/tex]

The distance of the screen is D.

D = 1 m

For wavelength 1 the distance of the second fringe is,

The number of fringes is 2.

[tex]x _{n} = \frac{nλD}{d} [/tex]

[tex]x _{2} = \frac{2 \times 720 \times 10 ^{ - 9} \times 1.5}{0.61 \times 10 ^{ - 3} } [/tex]

[tex] = 3.5 \times 10 ^{ - 3} [/tex]

For wavelength 2 the distance of the second fringe is,

[tex]x ^{'} _{n} = \frac{nλD}{d} [/tex]

[tex]x ^{'} _{2} = \frac{2 \times 660 \times 10 ^{ - 9} \times 1.5}{0.61 \times 10 ^{ - 3} } [/tex]

[tex]x ^{'} _{2} = 3.2\times 10 ^{ - 3} [/tex]

The distance between the second-order fringes for these two wavelengths on a screen 1.5 m away is,

[tex]∆x = x _{2} - x ^{'} _{2} [/tex]

[tex] = (3.5 \times 10 ^{ - 3} - 3.2 \times 10 ^{ - 3} )[/tex]

[tex] = 0.3 \times 10 ^{ - 3} \: m[/tex]

Therefore, the distance between the second-order fringes for these two wavelengths is 0.3 × 10—³ m.

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A 2.5 l flask at 15 c contains a mixture of 0.32 mol of n2, 0.15 mol he, and o.42 mol of ne. calculate the total pressure

Answers

The total pressure is 0.89 atm of the flask containing a mixture at 15° C

What is pressure?

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.

IT is defined as the amount of force exerted per area , so to make a large amount of pressure one can exert a large force or exert a small force for smaller area  , it's S.I unit is pascal

total pressure = sum of all the partial pressure

So total pressure (Ptotal ) = partial pressure of N2 + partial pressure of He + partial pressure of Ne

= (0.32 + 0.15 + 0.42) atm.

= 0.89 atm

So Ptotal = 0.89 atm.

the question is a bit incorrect,

the temperate of the flask is actually 158° C.

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Many animals are thought to navigate using the position of the Sun. Explain why these animals need to have an internal 'clock' that they also know what time of the day it is.

Pls answer, will give 30 points

Answers

Answer:

Animals that use the position of the sun to navigate need an internal 'clock' to keep track of time because the position of the sun changes throughout the day. By knowing what time it is, these animals can accurately determine their location and find their way back to their home. Examples of animals that use the sun to navigate include bees and migratory birds.

What is an internal clock?

An internal clock is a physiological mechanism that tracks the passage of time. It is found in most animals and is responsible for regulating the daily activities of the organism, such as feeding, mating, and sleeping.

Explanation:

Give me brainliest if that helped :)

URGENT : need this for tmmr

Answers

2.2cm^3

As per the statement the given measurement of different volumes

Let consider

V1 = 2.1cm^3

V2 = 2.1cm^3

V3 = 2.4cm^3

Now, we are supposed to find the mean value

mean value = submission of total number observation÷ sum of no. of observation

mean value = 2.1+2.1+2.4÷ 3

mean value = 6.6÷3

mean value= 2.2cm^3

The central tendency of data is measured by the term "mean." It is a value that, in general, may be used to express the primary value of a group of data. It is determined by adding up all of the data set's observations and dividing the result by the total number of observations.

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If Earth's total mass is 6 x 1024 kg, calculate the proportion of this lost every year.

Answers

The proportion of total mass of Earth lost every year is 6 x 10²⁰ kg.

What is uncertainty principle?

Heisenberg's uncertainty principle states that it is impossible to measure the exact position and the momentum of an object at the same time, or energy and time. The more certain one is variable is, the more uncertain the other variable is.

The more accurate we measure position of the object, the more uncertain the momentum of the object becomes.

The uncertainty in the measurement of the mass of the Earth can be assumed to be (1 x 10⁻² %).

The proportion of the mass mass of Earth lost every year is calculated as follows;

m = (0.01/100) x 6 x 10²⁴ kg

m = 6 x 10²⁰ kg

Thus, the proportion of total mass of Earth lost every year is 6 x 10²⁰ kg.

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What is the name of the temperature zone that includes the equator? How many degrees of latitude does this zone cover zone? I have to get it done right now

Answers

The name of the temperature zone that includes the equator is Zone C and is referred to as the tropical zone.

What is Tropical zone?

This is referred to as the type of zone which is characterized by areas or regions around the equator. The name tropical was coined from its distinct climate which is usually warm all year round as a result of its very high sun exposure.

The degrees of latitude which this zone covers is 23.5 degrees and is south of the Equator which is therefore the reason why it was chosen as the most appropriate choice.

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017 10.0 points
Cliff divers at Acapulco jump into the sea from a
cliff 33.7 m high. At the level of the sea, a rock
sticks out a horizontal distance of 7.51 m. The
acceleration of gravity is 9.8m/s². With what
minimum horizontal velocity must the cliff divers
leave the top of the cliff if they are to miss the rock'?
Answer in units of m/s.

Answers

The minimum horizontal velocity must the cliff divers leave the top of the cliff if they miss the rock would be 2.86 m/s.

What is velocity?

It is the rate of change of an object's position with regard to time and a frame of reference. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.

SI unit of velocity is m/s.

Velocity= displacement/ time

There are different types of velocity :

Uniform VelocityNon-Uniform VelocityAverage VelocityInstantaneous velocity

According to the question :

h=[tex]V_o[/tex]×t +0.5(g)(t²)

=0+0.5(9.8)(t²)

⇒4.9 t²=33.7

⇒ t²=6.89

so, t=2.62 seconds

d=v×t=7.51 m

⇒2.62 V=7.51 m

V=7.51/2.62

V=2.86 m/s

Hence, the minimum velocity must be 2.86 m/s.

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The density of a certain type of steel is 8.1 g/cm3. what is the mass of a 100.0 cm3 chunk of this steel?

Answers

The mass of a 100.0 cm3 chunk of this steel is  810 grams.

What is Density?

A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. Density is mathematically defined as mass divided by volume.

Density = Mass/ volume

Mass = density x volume

Mass at 100 cm3 = density x volume x 100 cm3

Mass at 100 cm3 = 8.1 g/cm x 100 cm 3

Mass at 100 cm3 = 810 grams

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What is the wavelength of light emitted when an electron relaxes from the n = 5 level to the n = 2 level?

Answers

The wavelength released in transition energy is 4.23 x 10¯⁶ m.

We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as

ΔE = E2 - E1

where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.

The state energy of a hydrogen atom can be calculated by

E = -(13.6) / n² eV

E = h.c / λ

where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.

From the question above, we know that

n1 = 5

n2 = 2

By substituting the following parameter, we get

ΔE = E2 - E1

ΔE = -(13.6) / n2² - (-(13.6) / n1²)

ΔE = -(13.6) / 2² - (-(13.6) / 5²)

ΔE = 0.544 - 0.85

ΔE = -0.306 eV

the energy is minus because it got released.

Calculate the wavelength released

ΔE = 0.306 eV

h.c / λ = 0.306 eV

4.136 x 10¯¹⁵ . 3 x 10⁸ / λ = 0.306

λ = 4.23 x 10¯⁶ m

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Which of galileo’s astronomical observations were best explained by a heliocentric model?.

Answers

Galileo’s astronomical observations  that were best explained by a heliocentric model is "The phases of Venus can only occur the way they do if Venus is orbiting the Sun".

What about the heliocentric model was accurate?

Instead of Earth, as was previously thought to be the case according to the geocentric model, the heliocentric concept puts the Sun at the core of the solar system. Our increased grasp of astronomy was built on this advancement, which brought us closer to the true nature of the solar system and the universe.

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HII please help me with this question!

"Which is smaller, a water molecule or a skin cell?"

Thank You

Answers

I believe it would be a water molecule
A water molecule is smaller then a skin cell

The volume of ammonia gas at 0.920 atm of pressure is gradually decreased from 80.3 ml to 46.9 ml. what is the final pressure of ammonia if there is no change in temperature?

Answers

The final pressure of ammonia if there is no change in temperature is 1.575atm.

A given mass of gas has a pressure that is inversely proportional to its volume at constant temperature. The gas rules of Boyle are followed in this query.

The mathematical notation is as follows:

[tex]P_{1} V_{1} = P_{2} V_{2}[/tex]

Rearranging the formula so that pressure [tex]P_{2}[/tex] is the formula's subject;

[tex]P_{2} = \frac{P_{1}V_{1} }{V_{2} }[/tex]

Plugging in the values we get:

[tex]P_{2} = \frac{(0.920)(80.3)}{(46.9)}[/tex]

[tex]P_{2} = 1.575atm[/tex]

Therefore,  the final pressure of ammonia if there is no change in temperature is 1.575atm.

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You are driving a car with a speed of 100mph, you applied brakes to avoid hitting a deer. how many calories of heat are produced in the stopping process if the car mass is 1000 kg?

Answers

238820.22 calories of heat are produced in the stopping process if the car mass is 1000 kg.

We need to understand the concept of heat, the SI unit of heat, and what a calorie is in order to answer this problem. Most of us use the word "heat" to describe anything that feels warm, but according to science, heat is the movement of energy from a warm object to a cooler one. Based on this, heat is divided into two categories: hot and cold. Icebergs, volcanoes, and even human bodies contain heat energy.

v = 100 mph

v = 100 mph = 44.704 m/s

Energy = [tex]1/2m(v_f^2- v^2)[/tex]

The heat generated = [tex]1/2 \times1000\times 44.704^2[/tex]

H= 999223.828 J

H= 238820.22 Calorie

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005 (part 1 of 2) 10.0 points
A runner is jogging in a straight line at asteady v, 4.1 km/hr. When the runner is L= 7.1 km from the finish line, a bird begins
flying straight from the runner to the finish line at = 12.3 km/hr (3 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner.

Answers

86.925 km

1=runner v1= 4.1km/h = 1.13m/s, here v1 and v2 is velocity

2=bird v2=12.3km/h = 3.41 m/s

bird covers 7100 m in t=7100/3.41=2082 s

at same time runner has traveled x=1.13  * 2082=2352.6

the remaining distance of 7100-2352=6865 m is traveled by runner an bird

6865=v1t+v2t

then t=6865/(1.13+3.41)=23410 s

the distance traveled by bird is

x2=7100+v2t

=7100+3.41*23410

x2=86928m = 86.925 km

Linear velocity is the measurement of a body's "pace of change of displacement in relation to time" when the body is travelling along a straight route.Velocity may be divided into two categories: linear velocity and angular velocity. The rate at which the displacement of a body travelling along a straight route changes is known as its linear velocity. Any moving item will undoubtedly have a linear velocity.

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A 3.5-kg plastic tank that has a volume of 0.2 m3 is filled with liquid water. assuming the density of water is 1000 kg/m3, determine the weight of the combined system.

Answers

The weight of the combined system = 1,996.3 N

How is the weight of the combined system calculated?

Given,

Mass of the Plastic tank = 3.5 kg

Volume of the liquid water in the tank = 0.2 m³

Density of water = 1000 kg/m³  

Now,

We know

Density = Mass ÷ Volume

Thus,

Mass = Density × Volume

therefore,

Mass of the water in the tank = 1000 × 0.2

= 200 kg

Thus,

The mass of the combined system = 3.5 kg + 200 kg = 203.5 Kg

Also,

Weight in N = Mass × Acceleration due to gravity (g)

and,

g = 9.81 m/s²

Therefore,

The weight of the combined system = 203.5 kg × 9.81 m/s²

= 1,996.3 N

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Imagine another universe that is completely empty except for a large solid sphere at rest. Suddenly, an identical sphere pops into existence 1 trillion kilometers away. What will happen?

Answers

The event that will happen will depend on the mass of the spheres and will result in one of the spheres being attracted to the other by gravity  into its gravitational field.

What is gravity?

Gravity is a force which causes mutual attraction between all objects that possess mass or energy.

Examples of gravity include:

orbiting of satellites around the earthrevolution of the moon around the earth.

Gravity is one of the four fundamental forces present in the universe.

Gravity is important in several ways such as:

keeping us and objects close to the ground,ensures that objects fall to the ground when thrown upprovides the muscles with resistance which helps us do workensure that objects have weight

The suddenly appearance of an identical sphere 1 trillion kilometers away from the original sphere in the universe will cause the spheres to attract each other into their gravitational field with a force that depends on the mass of the spheres.

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S
6
Electric Pencil
Sharpener:
Moving electrons cause the
blades to spin.
Game Controller:
The gamer manually
manipulates the joystick and
the movements are translated
into electrical impulses that
travel to the gaming system
through the wires.
→>

Answers

An electric pencil sharpener is a small motorized appliance for sharpening or refreshing the points on lead pencils.

An electric pencil sharpener is a small motorized equipment for polishing or fresh the factors on lead pencils. Within the hollow, a small electric powered motor turns a blade meeting at high velocity. The blades shave wooden and lead from the pencil's cease, bringing it to some extent.

The old-fashioned pencil sharpeners which are established to the wall and cranked through a manage are an instance of a compound system that is composed  simple machines: the wheel and axle and a wedge.

You could sharpen colored pencils in an electric sharpener, however make certain to be very mild with your pencils and often easy your sharpener to put off any wax increase. If performed improperly, sharpening your colored pencils in an electric sharpener can harm each your pencils and your sharpener.

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a cannonball is fired on flat ground at 520 m/s at a 58.0 angle. how much time is it in the air

Answers

The answer would be 90 seconds

A group of college students eager to get to Florida on a spring break drove the 675-mi trip with only minimum stops. They computed their average speed for the trip to be 57.4 mi/h. How many hours did the trip take?

Answers

Answer: 11.76 hours

Explanation:

I have attached an image explaining the answer

If you are using the 10x objective of a compound light microscope, what would be the final magnification?.

Answers

The final magnification will be 100X.

The light compound microscope contains two lenses to assist viewing of small objects. The two lenses are ocular lens and objective lens. Ocular lens is in the eyepiece and magnifies the image. Objective lens is near the sample and magnifies the object. Ocular lens is always 10X. Now, if we use objective lens of 10X, the magnification will be calculated by multiplication. So, the final magnification of the microscope will be 100X.

Compound microscope is commonly used to view the samples in magnification ranging from 40X to 1000X. There are variety of microscopes that provide detailed and highly magnified images, for instance, fluorescence microscope, digital microscope, electron microscope etc.

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In the competitive forces model, the central element that the other four elements contribute directly to strength is:___________

Answers

In the competitive forces model, the central element that the other four elements contribute directly to strength is rivalry among established firms in the industry.

The Competitive Forces Model is an essential technique in strategic analysis for analyzing an industry's competitiveness. The concept is most widely known as Porter's Five Forces Model. It consists of the following five forces: rivalry intensity, threat of possible new entrants, buyer negotiating strength, supplier bargaining power, and threat of alternative products and/or services. Among all the five forces, rivalry among established firms contributes to strength.

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What is the magnitude of an electric field that balances the weight of a plastic sphere of mass 7.4 g that has been charged to -3.0 nc?

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It is a physical field occupied by a charged particle on another particle in its surrounding .The magnitude of electric field will be -0.0241 MN/C.

What is electric field?

A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. It can also refer to the physical field surrounding a system of charged particles. Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.

The electric force in an electric field is given by the equation,

 [tex]E = \frac{F}{Q}[/tex]

Since electric field is balanced by the weight of the plastic sphere, the electric force is equal to weight of the sphere.

[tex]F = mg[/tex]

So the equation becomes

[tex]E = \frac{mg}{Q}[/tex]

Putting the value from the question,

m = 0.0074 kg

Q = (-3.0) Nc

g (gravitational acceleration) = 9.8 m/s^2

So, we get

[tex]E = \frac{(9.8)(0.0074)}{(-3.0)}[/tex]

[tex]E = -0.0241 MN/C[/tex]

Hence, the electric field is -0.0241 MN/C.

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