bowling balls are roughly the same size but come in a variety of weights. given its official circumference of roughly 26.8 in, calculate the heaviest bowling ball that will float in a fluid of specific gravity 1.100.

Answers

Answer 1

The heaviest bowling ball that will float in a fluid of specific gravity is 77.1066N

r = Radius of ball = 0.134 m

ρ = Density of fluid =  1.1× \(10^{3}\)(Assumed)

g = Acceleration due to gravity = 9.81 m/s²

m = Mass of ball

V = Volume of  ball = 4/3 π \(r^{3}\)

The weight of the bowling ball will balance the buoyant force

W = Fb

mg = V ρg

m = Vρ

m = 4/3 π 0.134^3 ×  1.1× \(10^{3}\)

m = 7.156 kg

The mass of the bowling ball will be  7.156 kg

Weight will be   7.156 × 9.81 = 77.1066N

A measurement of a substance's density in relation to water's density is its specific gravity, which is more officially known as relative density. In general, specific gravity is calculated for solids and liquids in respect to water in its densest condition (at a temperature of 4 Celsius or 39.2 Fahrenheit), and for gases in proportion to air at room temperature. It is not stated with units because it is a ratio. SG or Sp. Gr. are abbreviations for specific gravity.

Temperature and air pressure affect how dense an object is. For precise measurements of specific gravity, it is necessary for scientific reasons to regulate and display the temperature and pressure.

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Related Questions

1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"

Answers

Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

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which truth did isaac newton’s investigations of gravity explain? jupiter has more moons than earth. jupiter has more moons than earth. the sun is more massive than earth. the sun is more massive than earth. gravity acts on all objects in the universe. gravity acts on all objects in the universe. earth is not the center of the universe. earth is not the center of the universe.

Answers

Newton's investigations of gravity explain the truth that Jupiter has more moons than Earth.

The fact that Jupiter has more moons than Earth was first discovered by Galileo Galilei in 1610, and it was later confirmed by Newton. In addition to having more moons, it is also thought that Jupiter may be home to some of the most powerful magnetic fields in the solar system.

What was explained by Isaac Newton's law of gravity?

Every particle in the cosmos attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.

Thus, the equation for universal gravity has the following structure:

\({\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}}{\displaystyle\)

where r is the distance between the centers of the two objects' masses, m1 and m2 are their respective masses, G is the gravitational constant, and F is the gravitational force acting between them.

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The correct answer is; Gravity acts on all objects in the universe.

The answer above is incorrect…

Energy can neither be created nor destroyed. Why?​

Answers

The law of conservation of energy states that the total energy of an isolated system remains constant—it is said to be conserved over time. Energy can neither be created nor destroyed; rather, it transforms from one form to another. Hence the statement is correct.

Answer:

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside

In rabbits, spotted coat ( S) is dominant to solid color ( s) and black ( B) is dominant to brown ( b).A true-breeding black spotted rabbit is mated to a true-breeding brown solid rabbit to produce a heterozygous F 1 generation. Two F 1 individuals are mated, and you do not see a 9:3:3:1 (black spotted: black solid: brown spotted: brown solid) ratio of offspring, but instead see that almost all offspring are a non-recombinant phenotype. This tells you that

Answers

This tells you that the genes for coat color and coat pattern are linked on the same chromosome and do not assort independently. The F 1 generation inherited one chromosome with the alleles SB and another with the alleles sb from their parents. When they produced gametes, they mostly formed SB and sb gametes, resulting in offspring with the same phenotypes as their parents. Only a few offspring were recombinant phenotypes, due to crossing over between the genes during meiosis.

About Chromosome

Chromosome is a long DNA molecule that contains part or all of an organism's genetic material. Most chromosomes in eukaryotes have packaging proteins called histones which, assisted by chaperone proteins, bind and condense the DNA molecule to maintain its integrity.

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help asap !!!!!!!!!!!!!!!!

help asap !!!!!!!!!!!!!!!!

Answers

Answer:

Repelled - Attracted  - Repelled

Like charges will be repelled

Unlike charges will be attracted

Electric field is directed from + to - and plus charges will be forced in the direction of the  field

F = Q * E

in an oscillator consisting of a spring and a block, the amount of kinetic energy reaches maximum when:

Answers

In an oscillator consisting of a spring and a block, the amount of kinetic energy reaches maximum when: A. The block passes over the equilibrium point.

What is kinetic energy?

In Science, kinetic energy can be defined as a type of energy that's possessed by a physical object or body, especially due to its motion or a change in velocity (acceleration).

This ultimately implies that, a physical object or body would gain more of kinetic energy as it falls back toward the Earth because it is in motion.

In an experiment that is based on an oscillator using both a spring and a block, the amount of kinetic energy that is possessed by the block would reach maximum when it passes over the equilibrium point.

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Complete Question:

In an oscillator consisting of a spring and a block, the amount of kinetic energy reaches maximum when:

The block passes over the equilibrium point.

The block is at maximum positive displacement from the equilibrium point.

The spring's extension is half of the amplitude of oscillation.

The spring is at maximum compression.

None of these.

write me a presentation of oxygen

Answers

what exactly has to be in the presentation ???

Which statement best explains the path light takes as it reaches a surface between different transparent materials?

The light bends because it changes speed.

The light travels in a curved path because the light accelerates.

The light continues in a straight path because the speed of light is constant.​

Answers

Answer:

The light bends because it changes speed.

Explanation:

Answer: The light bends because it changes speed

Explanation:

I took the quiz and got 100%. This is the correct answer

. A car starts to move from rest has an acceleration of 3m/s².what will be the velocity and distance travelled by the car after 50sec.​

Answers

Sure! Here are the steps for calculating the velocity and distance traveled by the car after 50 seconds :

Step 1: Calculate the velocity using the equation:

\(v = u + at\)

where:

- \(v\) is the final velocity

- \(u\) is the initial velocity (0 m/s, as the car starts from rest)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(v = 0 + (3 \, \text{m/s²}) \times (50 \, \text{s})\)

Step 2: Calculate the distance traveled using the equation:

\(s = ut + \frac{1}{2}at^2\)

where:

- \(s\) is the distance traveled

- \(u\) is the initial velocity (0 m/s)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(s = 0 \times (50 \, \text{s}) + \frac{1}{2} \times (3 \, \text{m/s²}) \times (50 \, \text{s})^2\)

Now, let's simplify these equations:

\(v = 3 \times 50\)

\(s = \frac{1}{2} \times 3 \times 50^2\)

Calculating the results:

\(v = 150\) m/s

\(s = 3750\) meters

Therefore, after 50 seconds, the car will have a velocity of 150 m/s and would have traveled a distance of 3750 meters.

How to calculate distance of a ball rolling down a ramp?

Answers

With the equation: it is possible to determine t for each of the four ramp segments. t 1 = t 2 - t 1, and t 2 = t 4 - t 3 Likewise, x is the distance between the designated spots for times 3 and 4, respectively.

Although the gravitational force is same when you roll the ball down a ramp, it is no longer in free fall. Now, it has a vector structure. Knowing the downward force and the ramp's incline makes the problem appear to be Pythagorean. Keep in mind that the ball will go at the same speed at the bottom of the ramp as it would have. A ball begins rolling down a ramp with constant acceleration at time zero (t=0), initially at rest. It moves 1 foot between t=0 and t=1 seconds, you see. How much movement occurs between t = 1 second and a.

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Metals are good conductors of heat because .

Answers

Answer:

They have the highest melting point so that mean that the temperature and the are a conductive to electricity.

Explanation:

n lifting the mass by 5.3 cm, what is the work done on the mass by your applied force f? assume the mass is at rest before and after the lifting.

Answers

The work done on the mass by the applied force f is approximately 0.052 J.

To find the work done on the mass by the applied force f, we need to use the formula for work:work = force x distance x cos(theta)where force is the applied force, distance is the displacement of the mass, and theta is the angle between the applied force and the direction of displacement.In this case, the mass is lifted vertically, so the angle between the applied force and the direction of displacement is 0 degrees. Therefore, cos(theta) = 1.We are given that the mass is lifted by a distance of 5.3 cm, or 0.053 m. We are not given the value of the applied force, so we cannot calculate the work directly.However, we can use the fact that the work done on the mass is equal to the change in potential energy of the mass:work = delta U = mghwhere m is the mass, g is the acceleration due to gravity, and h is the height the mass is lifted.Assuming that the mass is lifted vertically and has a mass of 1 kg, we can calculate the work done on the mass:work = delta U = mgh = (1 kg)(9.81 m/s^2)(0.053 m) = 0.052 JTherefore, the work done on the mass by the applied force f is approximately 0.052 J.

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anyone got kids for sale? just a joke

Answers

Answer:

surrre buy me lol

Explanation:

Yeah I got Jamal hazel Emily about $20 each

Newton’s law of universal gravitation is given by 2 F GMm r  Where F is the gravitational force, M and m are masses, and r is a length. Derive the SI unit of the proportionality constant G? Note: Force is has the SI unit kgm/s2 (Newton).

Answers

The SI unit of the proportionality constant G is given as

[G]  = [M]^3 / [Kg  s²]

What is Newton’s law of universal gravitation?

Newton's law of universal gravitation states that  every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

We substitute [kg]=[M], [m]=[L], and [F]-[kg x m] / [s²]- [M] [L]/ [T²]

into

Newton's law of universal gravitation to obtain

[M][L] [G][M] [T [CF

Solving for [C] then gives

[G] = [L]^3  / [M][T]² kg

[G]  = [M]^3 / [Kg  s²]

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What is the height of a building in meters if it takes a dropped rock 4.1 seconds to fall from its roof.

Answers

Answer:

40.18m

Explanation:

9.8 m/s/s is gravity.

9.8*4.1=40.18m

2-Write True(T) if the sentence is true. Write False(F) if the sentence is
false.
Momentum is a measure of the motion of a body equal to the product of its
mass and acceleration due to gravity.
Impulse is defined as the force times the time interval.
The tendency of an object to resist a change in motion is called Force
If the speed of an object is doubled, its momentum is multiplied by 2
Sudden change in momentum in a collision, results in a large force that can
cause injury.
Safety features of modern cars ensures that energy is not absorbed when vehicles
stop:
Crumple zones are built into cars to increase the duration of crashes.

Answers

i have no clue that’s confusing
1 false mass into acc is force
2 true
3 false inertia
4 false
5 false

define velocity is the question

Answers

Answer:

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).

Explanation:

It requires 25 N of force to move a 90 kg box 120 meters across a warehouse floor, then lift it 0.5 meter to put it in a truck. Calculate the total work done to load
this box.

Answers

Answer:

Horizontal Work done + vertical work done

Explanation:

1.) First calculate the work done to move box in horizontal direction:

W = Fs

= 25N × 120m

= 3000 Joules

2.) Work done against gravity in vertical direction:

Ep = mgh

= 90x10x.0.5

= 450 Joules

Total Work done = 3000 + 450 = 3450 Joules

A 10 kg package is delivered to your house.

Use one complete sentence to describe an example of how work is done on the package as it gets brought inside.

Make sure to use proper spelling, grammar, and other language mechanics.

In your explanation, make sure to use the terms related to the formula for work (W = Fd). EEEK pls help !!!

Answers

In ur explanation make sure to use the terms

Which statement below is
INCORRECT about volume?
A. Volume is the amount of space that an object
occupies.
B. The volume of an object is the same as the
weight of that object.
C. Volume can be measured in cubic
centimeters.
D. Volume is calculated using a formula: Volume
= length x width x height

Answers

Answer:

B. The volume of an object is the same as the

weight of that object.

Explanation:

Every thing else is right and that one is wrong.

Answer:

B. The volume of an object is the same as the

weight of that object.

Explanation:

i hope it helps

A bathroom heater uses 10.5 A of current when connected to a 120. V potential difference. How much power does this heater dissipate

Answers

The bathroom heater dissipates 1260 watts of power when connected to a 120 V potential difference and drawing 10.5 A of current.

To calculate the power dissipated by the bathroom heater, we need to use the formula P = VI, where P is the power, V is the potential difference, and I is the current. In this case, the current is 10.5 A and the potential difference is 120 V. Plugging these values into the formula, we get:
P = (120 V) * (10.5 A) = 1260 W
Therefore, the bathroom heater dissipates 1260 watts of power when connected to a 120 V potential difference and drawing 10.5 A of current. This is a fairly high amount of power for a bathroom heater and should be taken into consideration when using it. It is important to make sure that the electrical circuit and wiring can handle this level of power to prevent any potential hazards. Additionally, using a high wattage heater can also result in higher energy bills, so it's important to use it efficiently and only when needed.

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If distance from the Sun were the only factor affecting surface habitability, which of the following would be habitable?
A) the Moon
B) Venus
C) Mercury
D) all of these

Answers

Answer: B) Venus, If distance from the Sun were the only factor considered, Venus would be the only habitable option among the given choices. The Moon lacks a significant atmosphere, and Mercury is too close to the Sun, resulting in extreme temperatures.

If distance from the Sun were the only factor considered, Venus would be the only habitable option among the given choices. While the Moon lacks a substantial atmosphere and experiences extreme temperatures, and Mercury is too close to the Sun with extreme temperature variations, Venus has a unique characteristic. Despite being closer to the Sun than Earth, Venus has a thick atmosphere that creates a greenhouse effect, trapping heat and raising its surface temperature to extremely high levels. This thick atmosphere could potentially provide a stable environment for liquid water and make Venus habitable, at least in terms of surface conditions. However, other factors such as the composition of the atmosphere and the presence of other essential elements would also influence habitability.

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Find the odd one out a)Planets moving on it's axis,Strings of guitar (being played),Motion of a ferry wheel,The vehicles moving on a straight road. b)Motion of the moon around the earth,Motion of the earth around the sun,Motion of a merry-go-round,Heart-beat in a healthy person. c)Motion of a bullet fired from gun,Motion of a football player in the ground,Motion of a vehicle on a straight road,Motion of an apple falling from a tree

Answers

Answer:

a) Strings of guitar (being played)

b) Heart-beat in a healthy person

c) Motion of an apple falling from a tree

Explanation:

a) The motion of the string of a guitar being played is the only motion involving simple harmonic motion.

b) All the other motions are circular motion except the heart beat in a healthy person, which is periodic.

c) The motion of an apply falling from a tree is the only motion under the complete influence of gravity from the onset till the end.

how does faster-moving air above an airplane wing affect the pressure on the wing?

Answers

Faster-moving air above an airplane wing reduces pressure on the wing, creating lift due to the pressure difference between the upper and lower surfaces of the wing.

This phenomenon is explained by Bernoulli's principle, which states that as the velocity of a fluid (in this case, air) increases, its pressure decreases. When an airplane wing moves through the air, its shape causes the air to move faster over the top surface than the bottom surface. This leads to a decrease in pressure above the wing and an increase in pressure below the wing.

The pressure difference creates an upward force called lift, which counteracts the weight of the airplane, allowing it to stay airborne. The greater the speed of the airplane, the stronger the lift force generated.

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All Sections
A student pushes a 40 Kg cart with a force of 300 Newtons. What is its
acceleration?

Answers

Answer:

7.5 m/s2

Explanation:

F = ma

300 = 40 kg (a)

divide both sides by 40 to single out the variable a (acceleration)

300/40 = 7.5 m/s2

A system does 80 J of work on its surroundings and releases 20 J of heat into its surrounding. what is the change of energy of the system?
A. 60j
B. -100j
C. 100j
D. -60j

Answers

Answer:

B

Explanation:

The wording of this question leaves a lot to be desired.  The way it reads, it should be 60J., but I'm almost certain that is not the intended answer.

The answer looks like it should be 100J of some kind. It's worded in such a way that it does 80 J of work on the surroundings and in addition, releases another 20 joules in the form of heat. It doing this, the system should be losing 100 Joules so the answer should be B.

There are no guarantees here. That is just my best proposal.

3.) using calories, calculate the how much heat 32.0 g of water absorbs when it is heated from 25.0oc to 80.0oc. how many joules is this?

Answers

The specific heat capacity of water is 1 calorie per gram per degree Celsius. This means that 1 gram of water will absorb 1 calorie of heat for every 1 degree Celsius increase in temperature.

In this case, we have 32.0 grams of water that is heated from 25.0 degrees Celsius to 80.0 degrees Celsius. The change in temperature is therefore 80.0 - 25.0 = 55.0 degrees Celsius.

The amount of heat absorbed by the water is therefore 32.0 x 55.0 = 1760 calories.

To convert calories to joules, we can use the following conversion factor:

1 calorie = 4.184 joules

Therefore, the amount of heat absorbed by the water in joules is 1760 x 4.184 = 7374 joules.

Therefore, the answer to your question is that 32.0 grams of water absorbs 7374 joules of heat when it is heated from 25.0 degrees Celsius to 80.0 degrees Celsius.

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what is hypermatropia?​

Answers

Answer:

Hypermetropia (hyperopia, long-sightedness or far- sightedness) is a form of refractive error in which parallel rays of light coming from infinity are focused behind the light sensitive layer of the retina, when the eye is at rest.5 Dec 2017

Explanation:

thank me later

Hopes this helps:

Answer:
Hypermetropia (long-sightedness) is a common eye condition where nearby objects appear blurred, but your vision is clearer when looking at things further away.

If you feel your eyes are often tired and you have problems focusing on objects close to your eyes, you may have hypermetropia.

How would you expect people from two different cultures to differ in their sense and perception of smell

Answers

even when two cultures share the same language and many traditions, their reactions to the same smells can be different

When the crest of one wave passes through the trough of another wave, ____ takes place. A. resonance B. diffraction C. constructive interference D. destructive interference

Answers

A. resonance hope this helps

When the crest of one wave passes through the trough of another wave, destructive interference takes place.

What is the crest of a wavelength?

The crest and trough of a wave, respectively, are its highest and lowest surface portions. The wave height is the vertical distance between the peak and trough. The wavelength is the horizontal separation between two consecutive crests or troughs.

When the crest of one wave passes through the trough of another wave, interference takes place.

This interference can be constructive, where the amplitudes of the waves add up, resulting in a larger wave, or destructive, where the amplitudes of the waves cancel out, resulting in a smaller wave or no wave at all.

The type of interference that occurs depends on the relative amplitudes, wavelengths, and phases of the two waves.

Therefore, destructive interference takes place when the crest of one wave passes through the trough of another wave.

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Other Questions
If a balloon in a small airplane cargo containerthat has an air pressure of 0.800 atm and avolume of 1.00 L at 15"C, what would the volumeof the balloon shrink to when the plane lands andthe balloon is exposed to 25 C and 1.00 atm? Which of the following is NOT true regarding shocks to aggregate supply? A A supply shock is a shock to the economy that alters the cost of producing goods and services and, as a result, the prices that firms charge. B Faced with an adverse supply shock, a policymaker with the ability to influence aggregate demand, such as the Fed, has a difficult choice between holding aggregate demand constant and expanding aggregate demand. C Stagflation combines economic stagnation (falling output and rising unemployment) with inflation. D An adverse supply shock reduces costs and prices. estimate to the nearest integer and solve: 39 ( 142-147 ) Find the formula for the exponential function that passesthrough the two points given.(x,y) = (0,4) and (x, y) = (3, 108)f(x)= Write code that will multiply the value of the integer j times the absolute value of the integer m and then store the result in the integer k. 1- business ethics _______. A- is laws and regulations that govern business B- applies moral standards to business settings C- do not vary from one person to another D- is most important for advertising agencies E- applies moral standards to individual choices 2- Which of the following is not a consequence of trade restrictions? a- Misallocation of international resources b- Greater consumer choice c- Reduced consumer choice d- Loss of jobs e- Higher prices for consumers 3- Eleven nations of the former Union of Soviet Socialist Republics (USSR) are participants in the _______. a- Former Baltic Republics Trade Agreement b- Organization of Petroleum Exporting Countries c- Association of Southeast Asian Nations d- European Union e- Commonwealth of Independent States 4- Which of the following is a reason why trade deficits are potentially harmful? a- Consumers at home have the benefit of a wider variety of products at competitive prices. b- The country must export money to pay for its excess imports. c- Lower prices at home help stifle the threat of inflation. d- They result in more jobs remaining in the home country. e- They spur job creation in the home country. determine which is the better buy.justify your answer 2 quarts of Juice for $2.78 or 1.5 quarts ofrece Juice for $2.25 Helpppppppppp plzzzzzzz how far does a 1.2g bullet with kinetic energy of 1.2 j go in 2 seconds ? Order these numbers from least to greatest.3.48, 3.421, 17/5, 3 4/1150 POINTS the ward company has provided the following information: net sales totaled $850,000. beginning net accounts receivable was $70,000. ending net accounts receivable was $95,000. what was ward's average collection period? Grant found the mass of an empty crucible and lid to be 62.549 g. After headded an unknown, the mass was 63.089 g. The crucible and lid and unknown wereheated strongly for 10 minutes. After cooling, the mass of the crucible and lid and samplewere found to be 62.928 g. Grant also performed a flame test on a sample of his unknown,and found it produced a violet flame. Is the unknown NaHCO3, Na2CO3, KHCO3, or K2CO3?Explain the reasoning used to arrive at your answer. Ill add the questions they are 14 plz solve them Ill mark u as u wantPlz plz I need them after 18 minutes Major studies in social psychology that demonstrate the power of the situation on behavior have effect sizes that are _____ compared to effect sizes demonstrated for personality variables. 10dm/s=...m/pht=......km/h50km/h =....m/s=...cm/pht20m/s=....km/pht=....dm/h200km/h =...nt=...cm/s Label the illustrations based on the Gestalt principles of grouping: a. closureb. proximityc. continuityd. illusory contourse. simillarity 4 ^ 5 (45 - 15) 3 / 12 suppose that a program's data and executable code require 1,024 bytes of memory. a new section of code must be added; it will be used with various values 81 times during the execution of a program. when implemented as a macro, the macro code requires 79 bytes of memory. when implemented as a procedure, the procedure code requires 175 bytes (including parameter-passing, etc.), and each procedure call requires 11 bytes. how many bytes of memory will the entire program require if the new code is added as a macro? Jaime says that the value of -1 x n is always equal to the value of n = (-1) for allvalues of n.Explain whether Jaime is correct or incorrect. what is the relationship between molecular size and IMF