A 3.53-g sample of aluminum completely reacts with oxygen to form 6.67 g of aluminum oxide. find percent composition

Answers

Answer 1

The mass percent composition of aluminum is 52.9% in aluminum oxide.

Mass of the aluminum = 3.53 g

Mass of the aluminum oxide = 6.67 g.

The mass percent of a substance is the mass of the substance divided by the mass of the compound into 100.

Aluminum reacts with oxygen to form aluminum oxide.

The overall balanced equation for the reaction is,

[tex]Aluminum + Oxygen→Aluminum \: oxygen[/tex]

[tex]4Al +3O _{2}→2Al _{2}O _{3}[/tex]

The mass percent composition of aluminum in the aluminum oxide is,

[tex]Mass \: percent = \frac{ Mass \: of \: the \: substance}{ Mass \: of \: the \: compound} \times 100 [/tex]

[tex]Mass \: percent = \frac{Mass \: of \: the \: aluminum}{ Mass \: of \: the \: aluminum \: oxide } \times 100[/tex]

[tex]Mass \: percent = \frac{3.53}{6.67 } \times 100 [/tex]

= 52.9 %

Therefore, the mass percent composition of aluminum is 52.9% in aluminum oxide.

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Related Questions

Compare the ball's accelerations, both direction and magnitude, immediately after they leave her hand. is one acceleration larger than the other? or are the magnitudes equal?

Answers

Both balls soon after they left her palm experienced the same amount of acceleration, but in opposite directions.

Further equation :

We define acceleration a as the rate of change of velocity with respect to time for linear motion:

a = dv/dt = d²x/dt²

According to Newton's second law, a force F is required to accelerate a mass m:

F= ma

The forces exerted on the ball govern its acceleration. There is just one force acting on both balls at the moment they are released from the student's hand: gravity. Therefore, the amount and direction of the acceleration of both balls are the same:

F = mg with,

|g| = 9.81 m/s², pointing straight down.

Both balls soon after they left her palm experienced the same amount of acceleration, but in opposite directions.

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A solar eclipse when the moon is at its far end of orbit, leaving a ring of light around the black circle of the moon is called a(n):_________

Answers

A solar eclipse when the moon is at its far end of orbit, leaving a ring of light around the black circle of the moon is called a ring of fire.

When the moon passes in front of the sun and casts a shadow on Earth, there is a solar eclipse. Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.

The North and South Poles are unable to view total solar eclipses. Solar eclipses that are nearly identical occur every 18 years and 11 months. There can be two to five solar eclipses per year, depending on the Sun, Moon, and Earth's geometry. One to two years can pass between complete solar eclipses.

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An ideal gas constant volume gas thermometer has pressure 2.00 atm at the triple point of water. what is the temperature when the pressure in the thermometer is 6.00 atm? group of answer choices

Answers

The temperature when the pressure in the thermometer is 6.00 atm is T2= 30.933 K

As specified by the IUPAC since 1982, one mole of an ideal gas has a volume of 22.710947(13) litres at standard conditions of temperature and pressure (273.15 K and precisely 105 Pa).

continuous volume,

Constant = PT

P equals pressure.

temperature, or T

Then

TTtri=PPtri

PPtriTtr = 273.16 SoT

Water's triple point temperature is i.

We have provided

P =0.0630 atm

T =348 K

T = 273.16 is the triple point value.

P/Ptri

Ptri = 273.16 then.

PT= 273.16 × 0.0630/348

Ptri = 0.0494 atm.

P =0.00560 atm

Ideal gas is present here at constant volume.

Thus, PT = Constant

P2T2=P1T1

T2 = P2

T1P1=0.00560×348

=0.0630

T2= 30.933 K

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A student adds two displacement vectors with magnitudes of 6.0 m and 8.0 m,

Answers

The correct answer is  (E)  It could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented.

The magnitude of the resultant displacement could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented.

How is resultant displacement calculated?

In physics, displacement (which is a vector quantity) refers to a change in an object's position. When you compute displacement, you compare an object's original and final locations to determine how "out of place" it is. The formula you employ to calculate displacement will be based on the variables presented to you in a particular problem.

The resultant is the vector sum of each individual vector. The different vectors are combined to produce the outcome. By combining the separate displacements using vector addition techniques, the outcome can be calculated.

Therefore the resultant displacement can have any value from 2-14. It depends upon the orientation of displacement vectors.

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The complete question is:

"A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of the following statements is true concerning the magnitude of the resultant displacement? A) It must be 10.0 km. B) It must be 14.0 km. C) It could be equal to zero kilometers, depending on how the vectors are oriented. D) No conclusion can be reached without knowing the directions of the vectors. E) It could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented."

What is the energy change when an electron in a hydrogen atom jumps from n = 2 to n = 5?

Answers

The energy change when an electron in a hydrogen atom jumps from n = 2 to n = 5 is 2.028×10 −19J.

What is hydrogen atom?

A hydrogen particle is an iota of the synthetic component hydrogen. The electrically nonpartisan particle contains a solitary decidedly charged proton and a solitary adversely charged electron bound to the core by the Coulomb force. Nuclear hydrogen comprises around 75% of the baryonic mass of the universe. A hydrogen molecule is an iota of the compound component hydrogen. The electrically unbiased iota contains a solitary decidedly charged proton and a solitary adversely charged electron bound to the core by the Coulomb force. Nuclear hydrogen is around 75% of the baryonic mass of the universe.

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Please help question in the the picture below.

Answers

Answer:

C. Mass and volume

Explanation:

All three chemical elements found on the periodic table will for sure have which of these two characteristics: C. mass and volume.

What is periodic table?

Periodic table can be defined as an organized tabular array of all the chemical elements arranged in order of increasing atomic number (number of protons), in rows.

What is a chemical element?

A chemical element can be defined as a pure substance that comprises atoms having the same atomic number (number of protons) in its nuclei and as such, it is the primary constituent of matter. Also, a common characteristics for all chemical elements found on the periodic table is mass and volume.

In Chemistry, some examples of a chemical element include the following:

ArgonSodiumCarbonOxygenHydrogen

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Complete Question:

A student is asked to describe three random elements found on the periodic table. All three elements will FOR SURE have which of the two following characteristics?

A. similar color and texture

B. shininess and value

C. mass and volume

D. similar boiling and freezing points

Based on the data provided, the intracellular molarity of dissolved solutes in sweet potato cells is approximately ________.
a) 0.2 m
b) 0.4 m
c) 0.6 m
d) 0.8 m

Answers

Answer:

0.4 M

Explanation:

Just did mastering bio :)

A badger is trying to cross the street. Its velocity vvv as a function of time ttt is given in the graph below where rightwards is the positive velocity direction. A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,0) and (1,5). This first line is connected to a second line with endpoints (1,5) and (3,-5). This second line is then connected to a third line of endpoints (3,-5) and (6,-5). A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,0) and (1,5). This first line is connected to a second line with endpoints (1,5) and (3,-5). This second line is then connected to a third line of endpoints (3,-5) and (6,-5). What is the badger's displacement \Delta xΔxdelta, x from t=2\,\text st=2st, equals, 2, start text, s, end text to 3\,\text s3s3, start text, s, end text? Answer with two significant digits. \text mm

Answers

The badgers displacement from its position at point t = 2, to its position at point t = 3 is 25 meters

Which method can be used to calculate the displacement of the badger?

The points on the graph are;

(0, 0), (1, 5), (3, -5), (6, -5)

The point t = 2 is between (1, 5) and (3, -5)

The slope, m, of the line containing the point t = 2 is therefore;

m = (-5 - 5)/(3 - 1) = -5

The equation of the line is therefore;

v - 5 = -5•(t - 1)

v = -5•t + 5 + 5 = -5•t + 10

v = -5•t + 10

At t = 2, we have;

v = -5×2 + 10 = 0

The velocity at t = 2 is 0 m/s

The value of the acceleration is the same as the slope, m = a = -5

Given that the initial velocity at t = 2 is 0, we have;

∆x = u•t + 0.5•a•t²

At t = 3, the time of travel from the time t = 2 is 1 seconds, which gives;

∆x = 0×5 + 0.5×(-5)×1² = -2.5

The distance traveled between points, t = 2 and t = 3 is ∆x = -2.5, which is 2.5 meters in the direction opposite to the initial direction.

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A sheet metal screw holding a metal body panel has pierced the insulation of a power wire and is touching the copper strands. this is known as a:_________

Answers

A sheet metal screw holding a metal body panel has pierced the insulation of a power wire and is touching the copper strands, this is known as a short to ground.

A substance called insulation is used to block sound and air. Insulation is used in the walls and attic of a home to keep warm air inside and cold air outside during the winter. An example of insulation is fibreglass. noun.

Covering anything in order to prevent heat, sound, or electricity from leaving or entering; also, the state of being covered in this manner: The animal's thick coat serves as excellent insulation from the arctic cold.

Any of the aforementioned alternatives would be safer than insulating your home with small glass shards doused in formaldehyde when compared to fibreglass insulation. However, cellulose is the most secure choice available.

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What depth of oil, specific gravity of 0.750, will produce a pressure of 46 psig?

Answers

The depth of oil is 43 m

We know that

P = ρ g h

where,

P = Pressure of fluid

ρ = Density of fluid

g = Acceleration due to gravity

h = Depth of fluid

Given that,

P = 46 psig = 3.2 * [tex]10^{5}[/tex] N / [tex]m^{2}[/tex]

s = 0.75

ρ = 0.75 * 1000 = 750 kg / [tex]m^{3}[/tex]

g = 9.81 m / [tex]s^{2}[/tex]

Here we round the value of g = 10 m / [tex]s^{2}[/tex]

h = P / ρ g

h = ( 3.2 * [tex]10^{5}[/tex] ) / ( 750 * 10 ) = 42.67 m

h = 43 m

Fluid pressure is the measurement of force per unit area that acts on an object in the fluid.

Therefore, the depth of oil is 43 m

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What is the maginitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s

Answers

The correct answer for the maginitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s is 0.67 m/s .

The average velocity concept was used to solve this problem.First, use the figure to calculate the distance and time required.The average velocity is then calculated using the time interval and total displacement. Average velocity is a measure of displacement over time. This is also known as the average rate of change in position over time.

The average velocity is as follows:

The velocity is denoted by v = (v 2-v 1) / (t 2- t 1)

t 1 = 4 sec

t 2 = 1 sec

t2 - t1 = 4 seconds - 1 second = 3 seconds

x1 = 2 m

x 2 = 0 m

x 2- x1 = 2 m

The velocity formula is v = (x 2- x1) / (t2- t 1)

the answer = 0.67 m/s

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Two 10-cm-diameter charged rings face each other, 18.0 cm apart. both rings are charged to 40.0 nc . what is the electric field strength?

Answers

The electric field strength  = 1104.31 N/C

How do magnetic waves function?

When charged particles, including electrons, are accelerated, an electromagnetic field, also known as an EM field, is created. Electric fields surround all electrically charged particles. Particles in motion generate magnetic fields.

Where can I find electromagnetic fields?

Electromagnetic fields can be found throughout our environment yet are undetectable to the  eye. Electric fields are created by the local accumulation of electric charges inside the atmosphere caused by thunderstorms.

According to the given information:

diameter of rings, d = 10 cm

Distance between the rings, r = 18 cm

Charge of the rings, q = 40 nc

The electromagnetic field strength at the rings' midway is computed as follows:

E[tex]_n_e_t[/tex] = E₁ - E₂

E[tex]_n_e_t[/tex] = E₁(₊ve) - E₂(-ve)

The strength of the electric field at the center of a left ring is computed as follows;

[tex]E=\frac{k q L}{\left(R^2+L^2\right)^{3 / 2}}\\[/tex]

E = [tex]E=\frac{9 \times 10^9 \times 20 \times 10^{-9} \times 0.18}{\left(0.05^2+0.18^2\right)^{3 / 2}}[/tex]

E = 1104.31 N/C

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Consider the surface with parametric equations .
a) find the equation of the tangent plane at . .
b) find the surface area under the restriction

Answers

There are two ways to express the tangent plane equation. Given that it is the sum of the two distinct tangent vectors, its parametric equation is r=r0+sru+trv.

What does the parametric surface in calculus mean?

A surface in Euclidean space is considered to be parametric if it can be described by a parametric equation with two variables. Parametric representation is another reasonably general technique for describing a surface in addition to implicit representation.

On the other hand, tangent planes to a surface are planes that are "parallel" to the surface at the point where they barely touch it. Remember that this provides us with a point on the The tangent plane equation can be written in two different ways. The following point emerges from the surface and tangent plane meeting at (x0,y0):

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How does the height of a ramp affect the time it takes for an object to move down the ramp? please explain each one below:

1.How does the amount of salt affect how long it takes water to boil?
2.How does the volume of water affect how long it will take to boil?
3.How does the length of a paper airplane affect how far it will fly?
4.How do jumping jacks affect your heart rate?

Answers

The greater the height of a ramp, the shorter the time it takes for an object to move down the ramp.

The greater the amount of salt, the In addition the larger the longer it takes water to boil.

An increase in volume of water increases the time it takes to boil and vice versa.

Increase in the length of the paper airplane, the farther it will fly.

Jumping Jack increases the heart rate.

How does the height of a ramp affect the time it takes for an object to move down the ramp?

A ramp is an inclined plane which is a form of simple machine that is used to lift heavy objects off the floor or to lower heavy objects down.

The greater the height of a ramp, the shorter the time it takes for an object to move down the ramp due to increased acceleration.

How does the amount of salt affect how long it takes water to boil?

The addition of solutes to pure solvent raises the boiling point of the solute.

Therefore, the greater the amount of salt, the In addition the larger the longer it takes water to boil.

How does the volume of water affect how long it will take to boil?

The mass of water increases with increase in volume of water.

Therefore, an increase in volume of water increases the time it takes to boil and vice versa.

How does the length of a paper airplane affect how far it will fly?

For a paper airplane the larger its wings, the greater the lift generated.

The greater the lift, the farther the paper airplane will fly.

Therefore, an increase in the length of the paper airplane, the farther it will fly.

How do jumping jacks affect your heart rate?

Exercise increases the heart rate.

Jumping jack is a for of exercise. Therefore, Jumping Jack increases the heart rate.

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A hockey puck is set in motion across a frozen pond. if friction and air resistance are ignored, how much force is required to keep the puck sliding at constant velocity? *

Answers

A hockey puck is set in motion across a frozen pond, if friction and air resistance are ignored, zero newton force is required to keep the puck sliding at constant velocity .

What is a friction?

The force preventing solid surfaces, fluid layers, and sliding material components from moving in the same direction is known as friction. Friction between two surfaces causes kinetic energy to be converted into thermal energy when they move in relation to one another (that is, it converts work to heat). The utilization of friction produced by rubbing pieces of wood together to start a fire serves as an example of how this attribute can have dramatic effects. When a viscous fluid is agitated, for instance, kinetic energy is transformed into thermal energy. Wear, which can result in component damage or performance degradation, is another significant effect of various types of friction. Tribology is a field of study that includes friction.

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A solar eclipse that occurs when the moons umbra does not reach earths surface is called?

Answers

A solar eclipse that occurs when the moon's umbra does not reach earths surface is called Annular Solar Eclipse.

An Annular Solar Eclipse is a phenomenon during solar eclipse in which Moon covers the center part of Sun when seen from Earth. But the Sun's outer edges are visible. This looks like a Ring of fire which is called as an Annulus.

An Umbra is a point in a shadow from which you cannot see the light source which formed the shadow.

Therefore, a solar eclipse that occurs when the moons umbra does not reach earths surface is called Annular Solar Eclipse

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Why must the nurse check the flow rate after changing the gown of a patient who is receiving intravenous fluids infused by gravity?

Answers

The nurse will check the flow rate of the infusion after a gown change because handling the intravenous tubing and container can disrupt the flow rate.

What is intravenous fluids ?

Intravenous fluids, sometimes abbreviated as "IV fluids," are liquids that are administered to replace water, sugar, and salt that you may need if you're ill or having surgery and are unable to eat or drink regularly. Through a drip, IV fluids are administered directly into a vein.

Examples include D5W, which is dextrose (sugar) in water, and normal saline, which is salt in water. Lactated Ringer's is another illustration, which includes salt, chloride, potassium, calcium, and lactate. It is employed for forceful fluid replacement.

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What is the velocity of the air relative to a person standing on the ground, va/p? what is the velocity of the eagle relative to the air, ve/a?

Answers

The velocity of the eagle relative to the air = 42.0 miles/hour

Calculation

Vwp = Velocity of wind wrt person = 27 miles/hour

Vew = velocity of eagle wrt wind = 15 miles/hour

Vep = velocity of eagle wrt person

= Vew + Vwp

= 27 + 15 = 42 miles/hour

Then,

Vap = velocity of air relative to the person = Vwp = 27

Vap = Vwp = 27 miles/hour

Vea = Velocity of eagle relative to air

= Vea = 15 miles/hour

Vep = Vea + Vap

= 15 + 27 = 42 miles/hour

What does “relative motion” mean?

Any kind of motion that is perceived from or related to a material system that serves as a frame of reference (such as two neighboring walls and the floor of a room) is called as relative motion.

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Can you articualte the different elemants of a software architecture and solutions at a basic level ?

Answers

In essence, yes. Despite the fact that the majority of people believe software architecture and design to be distinct.

What is software architecture?

A system's architecture outlines its main parts, their connections (structures), and how they work together. There are several contributing variables to software architecture and design, including business strategy, quality attributes, human dynamics, design, and IT environment.

Software Architecture and Software Design can be divided into two separate stages: Software Architecture and Software Design. The functional needs in architecture cast and separate nonfunctional considerations. Functional needs are fulfilled in design.

A system's architecture acts as a blueprint. It establishes a communication and coordination mechanism among components and offers an abstraction to control the complexity of the system.

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Describe and give an example of the 4 main States of Matter, including how SHAPE and VOLUME are AFFECTED IN EACH STATE, and how each state is related to the major -Spheres of the EARTH.

Answers

The four main states of matter are Solids, liquids, gases and plasma and the fifth one is  man-made Bose-Einstein condensates.

What is States of Matter?

The state of the substance is one of the characteristic forms that the many phases of the matter take. The four states of matter that can be encountered in daily life are solid, liquid, gas, and plasma. It is believed that many other states can only be found in extremely cold or dense matter, including the Bose-Einstein condensate and neutron degenerate matter. Quark-gluon plasmas are among the other conceivable states that are currently thought to be hypothetical.

The states that can exist inside the gadget are gaseous, liquid, or solid. A solid can be identified by its hard form, strong atomic bonds, and high viscosity. Insofar as they have a three-dimensional periodic atomic structure, most solids are crystalline; nevertheless, some solids (like glass) lack this periodic arrangement and are non-crystalline or amorphous instead.

According to the question,

The solid is densely packed with particles. The forces between the particles are so strong that they are only able to vibrate and not move freely. The solid as a result has a steady, distinct shape as well as a specific volume.

A liquid is a nearly incompressible fluid with a constant volume regardless of the pressure that adapts to the shape of its container. If both temperature and pressure are constant, volume is defined. When a solid is heated over its melting point, it turns liquid because the pressure exceeds the material's triple point.

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At what point in an acid-base titration are equivalent quantities of hydronium ions and hydroxide ions present?

Answers

Answer: Equivalence Point

Explanation:

An Acid-Base Titration is a titration carried out to determine the strength or concentration of an acid or a base by neutralizing it with a standard solution of an acid/base of known concentration.

At equivalence point in an acid-base titration the moles of base become equal to the moles of acid. This implies that , at this point of the titration the amount of titrant (standard solution of acid/base) added is just enough to neutralize the analyte (acid/base whose strength has to be determined).

The progress of these reactions are kept track of by pH indicators like phenolphthalein or methyl red.

At equivalence point, only the salt and water exist.

The following titration curve in the image shows the equivalence point of an acid-base titration.

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a large armadilo started at 23 meters and ended at 56 meters. It took 33.4 seconds to get there

calculate the change in X:
[tex]Δx[/tex]



calculate the velocity of the armadilo:​

Answers

The change in distance of the armadillo is 33 m and the velocity of armadillo is 0.99 m / s

We know that,

v = Δx / t

Δx = [tex]x_{2}[/tex] - [tex]x_{1}[/tex]

where,

Δx = Change in distance

v = Velocity

t = Time

[tex]x_{2}[/tex] = Final position

[tex]x_{1}[/tex] = Initial position

Given that,

[tex]x_{2}[/tex] = 56 m

[tex]x_{1}[/tex] = 23 m

t = 33.4 s

Δx = 56 - 23 = 33 m

v = 33 / 33.4

v = 0.99 m / s

Change is distance is the amount of distance between initial and final positions. It is denoted using Δx.

Therefore, the change in distance of the armadillo is 33 m and the velocity of armadillo is 0.99 m / s

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A solution is made by mixing 11.g of water and 72.g of acetic acid hch3co2. calculate the mole fraction of water in this solution. round your answer to 2 significant digits.

Answers

The Mole fraction of Water in this solution is 0.34

We know that,

Mole Fraction of Water = No. of moles of Water / Total number of moles of the solution

No. of moles = Mass / Molar mass

Given that,

Mass of Water = 11g

Mass of Acetic acid = 72g

Molar mass of Water = 18.015 g/mol

Molar mass of Acetic acid = 60.052 g/mol

No. of moles of Water= 11 / 18.015= 0.611 moles

No. of moles of Acetic acid = 72 / 60.052= 1.199 moles

Total no. of moles = 0.611+ 1.199 = 1.81 moles

Mole fraction of chloroform = 0.611 / 1.81 = 0.338

In a solution containing at least 2 components, the number of moles of one component divided by total number of moles in that solution is called  Mole fraction.

Therefore, the Mole fraction of Water in this solution is 0.34

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A student investigated how different coloured light was refracted by glass.

The student aimed rays of different coloured light at a glass block.

She measured the angle of refraction for each colour.

Give two variables that the student should control.​

Answers

Two variables the student should control in the experiment are:

amount of lightthe angle of incidence of the incident light.

What are variables in an experiment?

Variables in an experiment refers to those factors which can be changed by the researcher and these changes in these variables will result in changes in the result of the experiment.

There are three types of variables in an experiment and they are:

Independent variable: this variable does is changed by the researcher and results in changes in the variable being tested.

Dependent variable: this is the variable being tested and is affected by changes in the independent variable.

Control or constant variable : this variable is kept constant in the experiment.

Considering the investigation by the student:

the student investigated how different colored light was refracted by glassthe student aimed rays of different colored light at a glass block measured the angle of refraction for each color

Two variables the student should control are:

amount of lightthe angle of incidence of the incident light.

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A particle has an acceleration of 6.14 m/s2 for 0.300 s. at the end of this time the particle's velocity is 9.41 m/s. part a what was the particle's initial velocity? express your answer to thr

Answers

The initial velocity of particle is 7.568 m/s

Given:

acceleration = a = 6.14 m/s2

time = t = 0.300 s

final velocity = v = 9.41 m/s

To Find:

initial velocity = u

Solution: Velocity is the prime indicator of the position as well as the rapidity of the object. It can be defined as the distance covered by an object in unit time.

v = u + at

u = v - at = 9.41 - 6.14*0.3

u = 7.568 m/s

Hence, the initial velocity of particle is 7.568 m/s

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When managers establish accurate measuring and monitoring systems to evaluate how well the organization has achieved its goals, they are engaging in the essential task of _______.

Answers

Managers do the crucial duty of controlling when they create precise measuring and monitoring methods to assess how well the firm has achieved its goals.

What do you understand by monitoring systems?

Software that assists system administrators in monitoring their infrastructure is known as a monitoring system. These tools keep an eye on the hardware, software, and traffic of the system and raise the alarm in the event of errors or disturbances. There are several monitoring systems available, ranging from commercial software to freeware.

The monitoring system broadcasts a signal and logs information about the signal, including whether it was received, how long it took the host to receive it, whether any signal data was lost, and other details.

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Part A: Resolve t = 8 (interpolate)

Answers

The displacement and velocity values at time, t = 8 seconds are; 11.76 and -0.545 respectively

How can interpolating be used to find variable values at a given time?

Part A

The possible values in the table are;

Displacement;

t = 7 seconds, y = 10.02

t = 8 seconds, y = 11.01

t = 9 seconds, y = 13.5

Velocity;

t = 7 seconds, y = 0.06

t = 8 seconds, y = -0.05

t = 9 seconds, y = -1.15

The equation for interpretation which is a form of linear equation is presented as follows;

[tex]y - y_0 = \frac{y_1 - y_0}{x_1 -x_0} \times (x - x_0)[/tex]

Interpolating for the displacement at t = 8.0 seconds is as follows;

[tex]y - 10.02 = \frac{13.5 - 10.02}{9 - 7} \times (8 - 7)[/tex]

Which gives the displacement at t = 8.0 seconds as 11.76

Interpolating for the velocity at t = 8.0 seconds is as follows;

[tex]y - 0.06 = \frac{(-1.15) - 0.06}{9 - 7} \times (8 - 7)[/tex]

Which gives the velocity at t = 8.0 seconds as -0.545

The values for the displacement and velocity obtained by interpolation (11.76 and -0.545) are different from the displacement and velocity values in the table at t = 8 which are; 11.01 and -0.05 respectively

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Sound that starts at its source, then bounces off walls, the ceiling and objects within a room before acting on a microphone or an eardrum is known as:_________

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Reflection is the process by which sound leaves its source and travels through a room's objects, walls, and ceiling before reaching a microphone or an eardrum.

What do you mean by ceiling?

The room's internal overhead lining The ceiling is very high. material used to cover a room's roof or walls. something akin to a towering canopy, an overhanging shelter, or a starry sky. Using a system of timber joists and beams that span the ceiling's length and width.

What is the function of the ceiling?

Ceilings assist in enclosing and dividing spaces, controlling the diffusion of light and sound inside a space, and preventing the transfer of sound across spaces.

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Ernest rutherford was a prominent scientist who contributed significantly to the theory of atomic structure. True or false?.

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Ernest rutherford was a prominent scientist who contributed significantly to the theory of atomic structure.  Yes, the following statement is true.

Ernest Rutherford is considered one of the greatest scientists and experimentalists who worked on the atomic model and is also known for his contribution to nuclear physics.

he discovered that an atom is composed of three fundamental particles i.e. electrons, protons, and neutrons.

Most of the spaces are empty in an atom while its all mass is confined in a dense positively charged area called the nucleus.

Moreover, he also discovered alpha and beta radiations emitting from uranium.

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An object moving along the x axis experiences an acceleration of 7.0 m/s2. this means the object is:_________

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This means the object is increasing its velocity by 7.0 m/s in every second.

What is acceleration?

Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

The meter per second per second (m/s2) unit of acceleration. The square meter is a measure of area (m2). The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).

This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included.

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