for the same percentage error in each of the three quantities, mass, diameter, and length, which would contribute the most to the error in the density

Answers

Answer 1

For the same percentage error in each of the three quantities, mass, diameter, and length, mass would contribute the most to the error in the 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. The formula for density is mass divided by volume:

ρ = m / v

The error's absolute value is multiplied by 100%, divided by the accepted value, and then converted to a percent.

Since, the mass is directly related to density so the mass would contribute more to the error in density out of the three quantities, mass, diameter, and length.

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Related Questions

an ammeter is calibrated so that it shows a full scale deflection when it measures a current of 2.0a

Answers

The shunt resistance utilized will be 9:1 in relation to the ammeter's resistance.

A certain amount of current must flow through a moving coil meter in order for FS to be deflected. Understanding this quantity makes it easier to calculate the resistance needed to convert to a voltmeter. Consequently, the more sensitive the meter is, the less the voltage measurement method affects the actual voltage (lower current required to induce a full-scale deflection of the meter).

The full-scale deflection of an ammeter is produced with a current of 1 amp (r1 = 1V = V; r2 = 10V = 0.1V).

The ammeter's resistance to the shunt resistance was compared, with the resulting ratio being r2r1 = 0.1V V0.1V = 0.1*0.9V = 9:1.

The complete question is-An ammeter gives full scale deflection with a current of 1 amp. It is converted into an ammeter of range 10 amp. The ratio of the resistance of ammeter to the shunt resistance used will be

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Redox reactions involve the loss of an electron by an electron donor, and a gain of an electron by an electron acceptor. True or false?.

Answers

The affirmation redox reactions involve the loss of an electron by an electron donor, and a gain of an electron by an electron acceptor is true.

What are redox reactions?

Redox reactions are chemical reactions in which there is an exchange of electrons between atoms or molecules, some of which will lose electrons that will be transferred to other molecules or atoms. Then the reagent that is going to give up the electrons is going to go through an oxidation process and the one that is going to receive them is going to go through a reduction process.

Therefore, we can confirm that the affirmation redox reactions involve the loss of an electron by an electron donor, and a gain of an electron by an electron acceptor is true.

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A 30 hp 460v 3-phase motor requires 35 amps at full load. the power factor is 0.86 determine the efficiency of the motor.

Answers

A 30 hp 460v 3-section motor requires 35 amps at complete load. The strength thing is 0.86 which determines the motor performance of 93.32.

Given records:

Output electricity of motor = 30 hp

We recognize that 1 hp = 746 w

∴ Output = 30 × 746 = 22380 w

→ complete load cutting-edge

= 35 amp

→ Line voltage

= 460 v

→ power issue = 0.76

→ enter to the motor =?

⇒ [tex]P_{in} \sqrt{3}V_{L} I_{FL} cos[/tex]∅

⇒ [tex]p_{in} =\sqrt{3}[/tex] × 460 × 35 × 0.36

⇒ [tex]p_{in} = 23981.97 w[/tex]

We know that efficiency [tex]n=[/tex] output/input

⇒ [tex]n = \frac{22380}{23981.97}[/tex]

⇒ [tex]n = 0.9332[/tex]

[tex]% n = 93.32%[/tex]Efficiency % = 93.32%

So the efficiency in the question given above is 93.32%.

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to be effective, why must agreement aimed at preventing or reducing ozone depletion be international?
I have to get it done.. it's pass due

Answers

The agreement must be aimed at preventing or reducing ozone depletion internationally to save the ozone layer from more damage.

Why must agreements aimed at preventing or reducing ozone depletion be international?

The agreement must be aimed at preventing or reducing ozone depletion internationally because ozone depletion is the most dangerous cause of human activities such as chlorofluorocarbon gas. Ozone is the protective layer that can filter incoming solar radiation from harmful ultraviolet radiation. The Montreal Protocol is a global agreement to protect the ozone layer of the earth by preventing the use of chemicals that deplete it.

So we can conclude that the agreement must be aimed at preventing or reducing ozone depletion internationally to save the ozone layer from more damage.

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Until the 1600s , people who investigate d problems related to our understanding of the natural works were called. .

Answers

Answer: philosophers

Explanation:

If a glass has an index of refraction, n = 1.52, what is the speed of light inside the glass? show calculations with equation and numbers plugged in.

Answers

If a glass has an index of refraction, n = 1.52,

The speed of light inside the glass will be [tex]1.97\times10^8m/s[/tex].

How to find the refractive index?

To find the refractive index of a material, following formula is used:

Refractive index = Speed of light in air / Speed of light in the crown glass

We are given the value of refractive index is 1.52.

We know that the speed of light is [tex]3\times10^8m/s[/tex].

We will substitute the numerical values in the formula, we get:

[tex]1.52=\frac{3\times10^8m/s}{\text{ Speed of light in crown glass} \text}\\[/tex]

[tex]\text{ Speed of light in crown glass} \text=\frac{3\times10^8}{1.52}[/tex]

Hence, the speed of light inside the glass will be [tex]1.97\times10^8m/s[/tex].

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in which of the following cases does a car have a negative velocity and a positive acceleration? a car that is traveling in the

Answers

There is a positive acceleration where −x direction decreasing in speed.

What is acceleration?

The term acceleration refers to the change of velocity with time of the body. Now we know that both velocity and acceleration  are both vector quantities. We have to put the direction into consideration when looking at the acceleration of a body.

The case in which the car has a positive acceleration is the option where a car has a negative velocity and a positive acceleration is −x direction decreasing in speed.

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Missing parts;

In which of the following cases does a car have a negative velocity and a positive acceleration? A car that is traveling in the Check all that apply. Check all that apply.

a.+x direction decreasing in speed.

b.+x direction increasing in speed.

c.−x direction decreasing in speed.

d.−x direction increasing in speed.

e.−x direction at a constant 20 m/s.

you put a bottle of soft drink in a refrigerator and leave it until its temperature has dropped 10.0 k. what is its temperature change in (a) ◦f and (b) ◦c?

Answers

The correct answer is  F = 18.

Given that it is a physical quantity, the temperature has units that can be used to measure it. Kelvin is used as the SI unit of temperature. However, we also use the units of Celsius and Fahrenheit to measure temperature. The temperature units are connected in the following way:

C = 5/9 (F - 32)

K = C + 273

Temperature is a physical characteristic that can be used to determine how cold or hot a body is. The scales to utilise for recording temperature are Celsius, Kelvin, or Fahrenheit, and these scales have a correlation to convert one reading into another scale reading.

Temperature change in Kelvin, K = 10K

Temperature change in Celsius

C = K

or C = 10

Temperature change in Fahrenheit

F =1.8C

or F = 1.8 x 10

or F = 18.

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Whenever an electrically charged particle is accelerated, it radiates energy in the form of?.

Answers

Answer:

electromagnetic radiation

Explanation:


7. Research one major corporate scandal that has happened in the past 10 years
(Enron, World Com, AIG, etc). List the major players, what the scandal was
about, and what the outcome was. How do you think these compare to what
happened to Tucker? Do you think this was as big a scandal in his day as the
scandal you chose?
public opinion of him

Answers

Research is defined as "creative and methodical activity done  to enhance  the body of knowledge."  It entails the target gathering, organizing, and analysis of knowledge in order to improve comprehension of a subject or issue.  a search effort could build on prior contributions to the field. Research may duplicate portions of earlier projects or the project as an entire to verify the accuracy of instruments, processes, or experiments. 

Documentation, discovery, interpretation,  and therefore the research and development (R&D) of methods and systems for the advancement of human knowledge are the main goals of basic research (as opposed to applied research). Research methodologies are supported by epistemologies, which differ greatly within and between the humanities and sciences.

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true or false: it is possible for an object to nnove for 10 seconds at a high speed and end up with an average velocity of zero.

Answers

Yes. it is possible for an object to move for 10 seconds at a high speed and end up with an average velocity of zero.

What is average velocity?

Velocity is answer to the question: How fast are you changing your position?  It's basically asking for a comparison of where you are at two different times and makes rate of change quantitative.  To make sense out of this, let's first write it as words equation:

The average velocity = (How far did you move?) / (How long did it take you?)

That way, doing either a bigger distance in the same time or the same distance in a shorter time both give a larger number to velocity and agree with our sense of what it means to move faster.

For the above question:

Average velocity is displacement over the time. Displacement is difference between your final position and your initial position. If you traveled in circular path, very fast, or very slow, and ended up back where you started, your displacement would be zero. Dividing your displacement of zero, by time your trip took, will give you an average velocity of zero.

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What is the name for the difference between the value in the null hypothesis and the true population parameter?

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Effect size is the name for the difference between the value in the null hypothesis and the true population parameter.

What is population parameter?

A population parameter in statistics is a value that expresses information about a large group or population. It is important to distinguish between this and parameters, which are constant values for a particular mathematical function in other branches of mathematics.

Additionally, keep in mind that a population parameter is not a statistic, which provides information on a sample, or subset, of a particular population. You might be able to get a statistic that accurately represents the true value of a population with a well-designed study.

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Help with this pls will make brainlest

Answers

Answer:

bro just copy and paste the questions for us

Explanation:

I can’t see the page properly

you are practicing for a 200m dash with a friend. your friends runs with an average speed of 2.5m/s. if you run with an average speed of 2.7 m/s, how long will you have to wait for your friend at the finish line?

Answers

You will have to wait for 5.92 seconds at the finish line for your friend to finish the dash.

The total distance of the dash is d = 200 meters.

Friends run with an average speed of v₁ = 2.5 m/s.

Your average speed is v₂ = 2.7 m/s.

Now, the speed of an object or particle is defined as the speed of the object per unit time.

Therefore,

Speed = distance / time

Now, friend's times will be:

v₁ = d / t₁

t₁ = d / v₁

t₁ = ( 200 m) / (2.5 m/s)

t₁ = 80 seconds

Your time to finish the dash is:

v₂ = d / t₂

t₂ = d / v₂

t₂ = ( 200 m) / ( 2.7 m/s)

t₂ = 74.07 seconds

The time you have to wait for your friend at the finish line will be:

t = t₁ - t₂

t = 80 - 74.07

t = 5.92 seconds.

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Why does reduction in soil moisture content pose an impending disaster for many areas in the world?

Answers

The study, which was published in Nature, demonstrates that soil moisture levels, which are influenced by temperature increases and extreme weather conditions like droughts, can have a "significant negative influence" on a region's capacity to store carbon.

It concludes that the "CO2 fertilizations effect," a process wherein rising CO2 levels in the atmosphere boost the growth and, consequently, carbon uptake of plants, would likely cause an increase in the pace at which land absorbs carbon until the second part of this century.

The lead author told Carbon Brief that after this, the fertilizations is anticipated to "hit a pinnacle". This peak, when paired with the detrimental effects of soil moisture changes, could significantly shift the land's role as a carbon sink to source greatly accelerating climate change.

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A block of wood weighs 65.84 g and has a density of 0.673 g/cm3. what is the volume of the wood?

Answers

The block of wood is 65.84g so, the volume of the wood is 97.83 cm3.

Given:

Weighs =65.84 g

Density= 0.673 g/cm3

=65.84/0.673

=97.83 cm3

What do you mean volume?

The amount of space or volume that a three-dimensional object occupies. Volumes are measured in cubic units. an evaluation of how loud or powerful a sound is.

It is more common to think of a container's volume as its capacity rather than as the quantity of room it occupies. In other words, a container's volume is determined by how much liquid or gas it can hold.

To measure volume, first standardized containers are employed, and subsequently naturally occurring containers with a similar shape. A number of simple three-dimensional shapes can have their volume easily calculated using arithmetic methods.

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A 5. 00 l sample of a gas exerts a pressure of 1040 torr at 50. 0°c. In what volume would the same sample exert a pressure of 1. 00 atm at 50. 0°c? report your answer in liters to two decimal places.

Answers

By ideal gas approximation, the final volume is 6.84 liters.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

V1 = 5 L

P1 = 1040 torr = 1040 / 760 atm

P2 = 1 atm

When the initial and final temperature is the same, we can use the ratio of pressure and volume as

P1 . V1 = P2 . V2

(1040 / 760) . 5 = 1 . V2

V2 = 6.84 liters

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which of the following astronomers introduced the most widely accepted hypothesis regarding the origin of the solar system?

Answers

Astronomer who introduced the most widely accepted hypothesis regarding the origin of the solar system was Immanuel Kant in 1755.

What is solar system?

The Solar System is gravitationally bound system of the Sun and objects that orbit it. It formed 4.6 billion years ago from gravitational collapse of a giant interstellar molecular cloud. The vast majority (99.86%) of system's mass is in the Sun, with most of the remaining mass contained in the planet Jupiter. Four inner system planetsMercury, Venus, Earth and Mars—are terrestrial planets, being composed primarily of rock and metal. Four giant planets of the outer system are substantially larger and more massive than the terrestrials.

The two largest, Jupiter and Saturn, are gas giants, being composed mainly of hydrogen and helium; next two, Uranus and Neptune, are ice giants, being composed mostly of volatile substances with the relatively high melting points compared with hydrogen and helium, such as water, ammonia, and methane. All eight planets have nearly circular orbits that lie near the plane of the Earth's orbit, called the ecliptic.

There are an unknown number of smaller dwarf planets and the innumerable small Solar System bodies orbiting the Sun. Six of the major planets, six largest possible dwarf planets, and many of the smaller bodies are orbited by natural satellites, commonly called "moons" after Earth's Moon.

Two natural satellites, Jupiter's moon Ganymede and Saturn's moon Titan, are larger but not more massive than Mercury, smallest terrestrial planet, and Jupiter's moon Callisto is nearly as large. Each of the giant planets and some smaller bodies are encircled by the planetary rings of ice, dust and moonlets. The asteroid belt, which lies between orbits of Mars and Jupiter, contains objects composed of rock, metal and ice. Beyond Neptune's orbit lie Kuiper belt and scattered disc, which are populations of objects composed mostly of ice and rock.

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At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?

Answers

To travel directly southward relative to the ground, the bird should head

to an angle direction of approximately South 23.58° East.

The velocity of the bird can be directed such that the resultant velocity of

the bird and the wind will be in the southward direction.

component of the velocity is;

The magnitude of the velocity of the bird = 100 km/h

The direction of the bird = North-South direction

The magnitude of the velocity of the wind = 40 km/h

The direction of the wind = East-west direction

The component vector of the two velocities are;

Velocity of bird, v = -100·j

The velocity of wind, v = 40·i

The direction of the velocity of the bird will be southward if it has a

component of velocity to accommodate the velocity of the wind.

Let θ represent the angle of the direction of the bird relative to the

negative x-axis, we have;

-100 × cos(θ) = -40·i

θ ≈ 66.42° in the third quadrat, given that both the y, and x, values are

negative.

In the South-West direction, the angle is, therefore; 90 - 66.42 ≈ 23.58°

Therefore, the bird should fly in the direction south 23.58° east to fly

directly southward relative to the ground.

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Freeways in Australia have a maximum speed of 100kph (27.78m/s)
An average speed camera measured the time over the course of 5km and found that it took me exactly 2 minutes and 52 seconds to travel that distance…

What was my average speed?
Answer to the nearest whole number in meters per second.

Answers

Since it takes exactly 2 minutes and 52 seconds to travel that distance ,your average speed is 29.07 m/s

What is average speed?

Average speed is the total distance travelled/time taken for the distance.

What is your average speed?

Given that Freeways in Australia have a maximum speed of 100kph (27.78m/s) and an average speed camera measured the time over the course of 5km and found that it took me exactly 2 minutes and 52 seconds to travel that distance,

the total distance travelled is 5 km = 5000 m and the total time = 2 min 52 s = 2 × 60 s + 52 s = 120 s + 52 s = 172 s

Since the average speed = total distance/total time, substituting the values of the variables into the equationm we have

average speed = total distance/total time

average speed = 5000 m/172 s

= 29.07 m/s

So, your average speed is 29.07 m/s

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a spring-loaded gun can fire a projectile to a height h if it is fired straight up. if the same gun is pointed at an angle of 45° from the vertical, what maximum height can now be reached by the projectile?

Answers

Answer

1/2 m v^2 = m g H        by conservation of energy for an object fired straight up or

H = v^2 / (2 * g)

For an object traveling at 45 deg then

Vy = V sin 45 = 2^1/2 / 2 * V

So now

H = 1/2 * v^2 / (2 * g) = v^2 / (4 * g)

and the projectile will travel H / 2 instead of H

calculate the deceleration of a snowboarder going up 5° slope assuming to go fission affection for waxed wet on wet snow

Answers

The deceleration of a snowboarder going up is 1.8 m / s²

We know that,

F = m * a

[tex]f_{k}[/tex] = μ[tex]_{k}[/tex] * [tex]F_{N}[/tex]

F = Force

m = Mass

a = Acceleration

[tex]f_{k}[/tex] = Kinetic frictional force

μ[tex]_{k}[/tex] = Co-efficient of kinetic friction

[tex]F_{N}[/tex] = Normal force

θ = 5°

μ[tex]_{k}[/tex] = 0.1

Since the snowboarder is going up the hill at an angle of 5°, the weight of the snowboarder does not align with the traditional y-axis direction. So resolving the weight into horizontal and vertical components.

sin 5° = - [tex]W_{x}[/tex] / W

[tex]W_{x}[/tex] = - W sin 5°

cos 5° = - [tex]W_{y}[/tex] / W

[tex]W_{y}[/tex] = - W cos 5°

[tex]f_{k}[/tex] = 0.1 ( [tex]W_{y}[/tex] )

[tex]f_{k}[/tex] = - 0.1 ( W cos 5° )

Σ [tex]F_{x}[/tex] = m [tex]a_{x}[/tex]

[tex]W_{x}[/tex] + [tex]f_{k}[/tex] = m [tex]a_{x}[/tex]

- W sin 5° - 0.1 ( W cos 5° ) = m [tex]a_{x}[/tex]

- W ( sin 5° + 0.1 cos 5° ) = m [tex]a_{x}[/tex]

- m g ( sin 5° + 0.1 cos 5° ) = m [tex]a_{x}[/tex]

- 9.8 ( sin 5° + 0.1 cos 5° ) = [tex]a_{x}[/tex]

[tex]a_{x}[/tex] = - 1.8 m / s²

Deceleration is the negative acceleration. When an object slows down it has deceleration. Kinetic friction is the frictional force created due to an object's motion.

Therefore, the deceleration of a snowboarder going up is 1.8 m / s²

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when an object is thrown upwards, when it reaches its maximum height, its instantaneous velocity is and its acceleration is

Answers

At maximum height, the velocity is 0 and the acceleration is equal to acceleration due to gravity in the downward direction.

We have an object thrown upwards.

We have to determine its velocity and acceleration at maximum height.

At maximum height, the direction of velocity vector is ?

A maximum height the direction of velocity vector does not exist as it is a null vector at that point.

According to the question -

When the object reaches its maximum height, it will no longer continue to move in the upward direction. For a instant of time in which the ball achieves maximum height - the velocity of the ball becomes 0.

Now, the acceleration due to gravity acts on the ball in the downward direction and is equal to 9.8 m/[tex]s^{2}[/tex]

Hence, at maximum height, the velocity is 0 and the acceleration is equal to acceleration due to gravity in the downward direction.

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What do i observe if i take my largest plastic shopping bag square between the light source and the wall

Answers

The take my largest plastic shopping bag square between the light source and the wall

The shadow is typically smaller.absolutely no shadowThe shadow is either clear or hardly there.

Rays of light can travel through the cardboard when I hold my largest cardboard square between the light source and the wall, but because the cardboard is not very thick, the light can still pass through and create a shadow.

Do cardboard sheets block light?

Based on the precise materials and light sources that were employed, the results of the cardboard experiment frequently differ.

Keep in mind that it is generally expected that reflective materials, such aluminium foil and mirrors, would reflect the specified or given light.

Since the cardboard is not very thick, light rays do penetrate when I hold my largest cardboard square between the light source and the wall. As a result, the cardboard tends to cast a shadow when held in this position.

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What is the equiliibrium constant k for a redox reaction involving the transfer of 6 mol electrons?

Answers

The equilibrium constant for a chemical reaction is equal to the value of the reaction. The equilibrium constant that is denoted by k is Keq = 1.8E4

What is equilibrium constant ?

The equilibrium constant for a chemical reaction is equal to the value of the reaction quotient at chemical equilibrium, a state that a dynamic chemical system approaches when enough time has elapsed and at which its composition has no observable tendency to change further.

We know that,[tex]\Delta G = -nFE0[/tex]

and,[tex]\Delta G = - RT ln Keq[/tex]

So, ln Keq = (nFE0 ) / (RT)         ----- (i)

E₀ = standard cell potential = 0.042 V

n = number of electrons transferred in the rxn = 6

F = 96,485 C/mol ,

 R = 8.314 J / mol * K

As T is not given so assuming it to be room temperature. So, T = 298 K

Putting all the values in equation (i):

ln Keq = (6 X 96,485 C.mol-1 X 0.042 V ) / (8.314 J mol-1 K-1 X 298 K)

ln Keq = 24314.22 C.V / 2477.572 J

Now, 1 coloumb X 1 volt = 1 joule

So, ln Keq = 24314.22 / 2477.572 = 9.814

Keq = 18288

Rounding to two significant figures:

Keq = 18000 = 1.8 X 104

So in scientific notation: Keq = 1.8E4

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How many kilojoules of heat must be supplied to 4.1 g of ice at -26 oc to convert it to steam at 147 oc?

Answers

The amount of heat supplied to 4.1 g of ice at -26°C  to convert it to steam at 147°C will be 12.81 kJ.

What is the heat supplied?

The heat supplied is by the summation of the sensible heat and the latent heat of the substance.

Heat = Sensible heat + Latent heat

The mass of the substance is 4.1 grams (4.1 × 10⁻³ kilograms).  

The sensible heat is given as

Q = mCΔT

Where C is the specific heat at constant volume (4.18 kJ / kg-K up to 100°C and 0.718 kJ / kg-K after 100°C), m is the mass and ΔT is the temperature difference.

The latent heat is given as

Q = mL, where L is the specific latent heat of a substance (334 kJ / kg at 0°C and 2230 kJ / kg at 100°C).

Heat = 4.1 × 10⁻³ × [4.18(0 + 26) + 334 + 4.18(100 - 0) + 2230 + 0.718(147 - 100)]

Heat = 4.1 × 10⁻³ × [108.68 + 334 + 418 + 2230 + 33.746]

Heat = 4.1 × 10⁻³ × 3124.426

Heat = 12.810 kJ

The amount of heat supplied to 4.1 g of ice at -26°C  to convert it to steam at 147°C will be 12.81 kJ.

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an electric range has a constant current of 10a entering the positive voltage terminal with a voltage of 110v. the range is operated for two hours, find the charfe

Answers

According to the current, the charge is 72,000 coulombs.

We need to know about current to solve this problem. Current can be defined as the flowrate of charge through the medium. It can be determined as

I = Q / t

where I is current, Q is charge and t is time.

From the question above, we know that

I = 10 A

h = 2 hours = 2 x 3600 second = 7200 second

By substituting the given parameters, we can calculate the charge

I = Q / t

10 = Q / 7200

Q = 72,000 coulombs

Hence, the charge is 72,000 coulombs.

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What does acceleration measure?
A. Change in velocity over time
B. Change in speed over time
C. Change in distance over time
D. Change in displacement over time​

Answers

The question is “A. Change in velocity over time”

Answer: A.) Change in Velocity over Time

Explanation:

The definition of acceleration is Δv/t, or the change in velocity over time. Acceleration, like velocity, will therefore have a magnitude, as well as a direction.

the particle travels with a constant speed of 300 mm>s along the curve. determine the particle’s acceleration when it is located at point (200 mm, 100 mm) and sketch this vector on the curve.

Answers

The correct answer 322mm/s^2.

The growing x-axis, symbolised by i shows the direction of the velocity. Since integration and differentiation can be used to solve problems of this nature, it is recommended for students to study and comprehend their fundamental processes.

v=300mm/s

a_t=dv/dt=0

y=20(10^3)/x ____(1)

For x=200

dy/dx|x=200 = - 20(10^3)/(200)^2

dy/dx|x=200=-0.5

Now differentiating equation (1) with respect to x again

d^2y/dx^2|(x=200)=40(10^3)/(200)^3

d^2y/dx^2|(x=200)=5(10^-3)

Write the expression of ρ.

ρ=(1+(dy/dx)^2)^3/2/|d^2y/dx^2|

substitute the values,

ρ=(1+(0.5)^2)^3/2/5(10^-3)

ρ=279.5mm

Write the expression of the radial acceleration.

a_n=v^2/ρ

a_n=(300mm/s)^/279.5mm

a_n=322mm/s^2

Understand that the tangential acceleration is zero. Thus, write the expression of the net acceleration.

a=√a_t^2+a_n^2

a=√((0mmm/s^2)^2+(322mm/s^2)^2

a=322mm/s^2

Understand that the given information,

dy/dx=-0.5

tanθ=-0.5

θ=26.6(anticlockwise)

Draw the calculated vector on the curve.

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A partial sum of an arithmetic sequence is given. find the sum. 5 9 13 . . . 381

Answers

The sum arithmetic sequence is 18,335 of a partial sum of an arithmetic sequence is given 5 9 13 . . . 381

Calculation

d = 9-5 = 4

a = 5

[tex]a_n[/tex] = 5 + 4(n -1) = 381

    = 5 + 4n -4 = 381

    = 4n +1 = 381

    = 4n = 380

    = n = 380/4

          = 95

Now,

     [tex]S_{95}[/tex] = [tex]95(\frac{5 + 381}{2} )[/tex]

           = 95 × 193

           =  18,335

What is arithmetic sequence?

The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulas for arithmetic sequences.

The equation to determine the nth term in an arithmetic sequenceThe equation for calculating the sum of an arithmetic sequence's first n terms

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