The electric potential along an x-axis is given by the expression v = ax - bx2, where a and b are constants. at what point on the x-axis is the electric field zero?

Answers

Answer 1

At x=1m point on the x-axis the electric field is zero when it is given by the expression v = ax - bx2, where a and b are constants.

How is electric potential determined?

We will use the formula V = k * q / r to get the electric potential at any place A due to a single point charge.

Formula for electric potential

q stands for electrostatic charge, r for the separation between point charge and A, and k = 1 / 4 * * 0 for Coulomb's constant.

What is the potential V formula?

V = k × [q/r]

Where, V stands for potential electric energy. point charge = q R is the distance from any place near the charge to the charge site.

Explain what the electric field is

When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, often known as the electric field strength or electric field, expresses the size and direction of the electric field.

Ex = - dV/dx = -(a-2bx) = 0

solving for x, we have

x=a/2b = [2V/m] / 2(1V/m^2)

= 1m

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Related Questions

One of the statement is the function of electroscope.
a) charging the objects
b) determining the charge
c) creating the charge
d) discharging the object

Help please!

Answers

Answer:

Determining the charge. Electroscopes like we all know are used to detect or determine the charge present in an atom.

A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400 m .how long did it take the race car to travel this distance in s? answer key

Answers

To travel a distance of 400 m the car will take a time of: 8.944 s

The formulas and procedures we will use to solve this exercise are:

vf = √ (vi² + 2 * a * x)t = (2 * x)/ (vi + vf)

Where:

vf = final velocityx = distancet = timevi = initial velocitya = acceleration

Information about the problem:

vi = 0 m/sa = 10.0 m/s²x = 400 mvf =?t = ?

Applying the final velocity formula  we have:

vf = √ (vi² + 2 * a * x)

vf = √ ((0 m/s)² + 2 * 10.0 m/s² * 400 m)

vf = √ (0 m²/s² + 8000 m²/s²)

vf = √(8000 m²/s²)

vf = 89.44 m/s

Applying the time formula we have:

t = (2 * x)/ (vi + vf)

t = (2 * 400 m)/ (0 m/s + 89.44 m/s)

t = 800 m / 89.44 m/s

t = 8.944 s

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled?.

Answers

Considering the combined law equation the temperature increases by a factor of 1.5.

Gay-Lussac's Law

According to Gay-Law, Lussac's the gas molecules move more quickly as the temperature rises as long as the volume of the container holding the gas remains constant. The pressure then rises as a result of an increase in the number of shocks striking the walls. In other words, the relationship between a gas's pressure and temperature is direct.

In conclusion, when the volume remains constant, the pressure of the gas increases as the temperature rises. Additionally, gas pressure falls as temperature drops.

Gay-law Lussac's has the following mathematical formulation p/T =k so 3 P / T= 1/2 = 3/2 =1.5 =T

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A 1-kg mass and a 4-kg mass are connected by a (massless) rod that is 2 meters long. where is the center of mass of the system?

Answers

The center of mass is located at 1.6 meters from 1 kg mass.

We need to know about the center of mass to solve this problem. The center of mass is the point where total torque is zero. It can be determined by

X = ∑mi.Xi / ∑mi

where m is mass and X is coordinate on the x-axis.

From the question above, we know that

m1 = 1 kg

m2 = 4 kg

L = 2 m

Assume that zero point is from m1. Hence,

X = ∑mi.Xi / ∑mi

X = ( m1 . X1 + m2 . X2 ) / (m1 + m2)

X = ( 1 . 0 + 4 . 2 ) / (1 + 4)

X = 8 / 5

X = 1.6 meters

Hence, the center of mass is located at 1.6 meters from 1 kg mass.

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A car accelerates at 1.25 m/s² for 20 seconds. What is its change in velocity?

Answers

Answer:

25 m/s

Explanation:

1.25*20=25

The car acceleration at the rate of 1.25 m/s² in the time period of 20 seconds, then the change in velocity will be equal to 25 m/s.

What is acceleration?

Acceleration is the speed of change in both speed and distance of velocity over time. Anything is said to be propelled when it goes quickly or slowly in a straight line. So because direction is always moving, motion on a circle accelerate even while the speed is increased. Both effects add to, the accelerated for all other types of motion.

It is a vector field because accelerating has both a direction and magnitude. Another vector quantity is velocity. The velocity vector change during a certain period of time, divided by that period of time, is the definition of acceleration.

The given data according to the question is,

Acceleration, a = 1.25 m/s² and,

Time, t = 20 s

Velocity, v = 1.25 × 20

v = 25 m/s.

Therefore, the change in velocity will be equal to 25 m/s.

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The percentage of fe in an iron ii sample was determined by redox titration with cr2o7 calculate the molarity of the standard k2cr207

Answers

The molarity is 0.018M and the percentage is 8.46%.

Net ionic reaction is

[tex]$\mathrm{Cr} 2 \mathrm{O}^{2-}+6 \mathrm{Fe}^{2+}+14 \mathrm{H}^{+} \rightarrow 6 \mathrm{Fe}^{3+}+2 \mathrm{Cr}^{3+}+7 \mathrm{H} 2 \mathrm{O}$[/tex]

[tex]$1 \mathrm{~mol}$[/tex] of [tex]$\mathrm{Cr} 2 \mathrm{O} 7(-2)$[/tex] reacts with [tex]$6 \mathrm{~mol}$[/tex]of [tex]$\mathrm{Fe}(2+)$[/tex] to form [tex]$6 \mathrm{~mol}$[/tex]of [tex]$\mathrm{Fe}(3+)$[/tex] and [tex]$2 \mathrm{~mol}$[/tex] of [tex]$\mathrm{Cr}(3+)$[/tex]

Find molarity of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex]

Molarity = moles of[tex]$\mathrm{K} 2 \mathrm{Cr} 207 /$[/tex] Volume of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7(\mathrm{~L}$[/tex] )

Moles of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex] = grams of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7 /$[/tex] molar mass of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex]

[tex]$=1.2275 \mathrm{~g} / 294.19 \mathrm{~mol}=0.0042 \mathrm{~g} / \mathrm{mol}$[/tex]

Molarity of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7=$[/tex] moles of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex]/ Volume of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex](L)

[tex]$=0.0042 \mathrm{~g} / \mathrm{mol} / 0.250 \mathrm{~L}=0.017 \mathrm{M}$[/tex]

Find molarity of [tex]$\mathrm{Fe}$[/tex] (II)

Molarity of [tex]$\mathrm{Fe}(\mathrm{II})=6 \times$[/tex]molarity of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7 \times$[/tex]volume of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7 /$[/tex]volume of [tex]$\mathrm{Fe}$[/tex] (II)

[tex]$=6 \times 0.017 \mathrm{M} \times 0.03598 \mathrm{~L} / 0.200 \mathrm{~L}$[/tex]

[tex]$=0.018 \mathrm{M}$[/tex]

Find moles of [tex]$\mathrm{Fe}(\mathrm{II})$[/tex]

Moles of [tex]\mathrm{Fe}($ II) =[/tex]molarity of [tex]$\mathrm{Fe}$[/tex] (II) [tex]$\times$[/tex] volume of [tex]$\mathrm{Fe}$[/tex] (II)

[tex]=0.018 \mathrm{M} \times 0.200 \mathrm{~L}=0.004 \mathrm{~mol}[/tex]

Find mass of Fe(II)

Mass of [tex]\mathrm{Fe}( II )=[/tex] moles of [tex]\mathrm{Fe}( II[/tex]) [tex]\times[/tex] molar mass of [tex]$\mathrm{Fe}(\mathrm{II})$[/tex]

[tex]$=0.004 \mathrm{~mol} \times 55.85 \mathrm{~g} / \mathrm{mol}$[/tex]

[tex]$=0.205 \mathrm{~g}$[/tex]

Find [tex]$\% \mathrm{Fe}(\mathrm{II})$[/tex] in unknown sample

[tex]$$\begin{aligned}\% \mathrm{Fe} &=(\text { mass of } \mathrm{Fe} / \text { weight of unknown sample }) \times 100 \\&=(0.205 \mathrm{~g} / 2.4234 \mathrm{~g}) \times 100 \\&=8.46 \%\end{aligned}$$[/tex]

Molarity is the concentration of a solution expressed as the number of moles of solute dissolved in each liter of solution.concentration is the amount of a substance per defined space. Concentration usually is expressed in terms of mass per unit volume.

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Draw a diagram to show what happens to plane waves when they strike a flat reflector placed at 45° to their direction of travel.​

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Since the angle of incidence is 45° using the law of reflection we can conclude the reflective ray will also make an angle equal to the angle of incidence i.e. 45° with the normal.

What are the three laws of reflection?

1)The angle between the incident ray and the normal is equal to the angle between the reflected ray and the normal.

2)The incident ray, the normal and the reflected ray are all in the same plane.

3) Incident ray and refracted ray are on different sides of the normal.

Given:

Light rays strike at an angle of 45° to the plane.

Using the law of reflection we can easily draw the reflective wave.

Important terms:

Angle of incidence - it is the angle at which the light way strikes the plane mirror.

Angle of reflection- it is the angle at which the light way is reflected back by the plane mirror.

Now since the angle of incidence is 45° using the law of reflection we can conclude the reflective ray will also make 45° with the normal.

Hence the angle of incidence is 45° and also the angle of reflection is equal to the angle of incidence i.e.45°.

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A 6.00 kg ornament is held at rest...

Answers

The magnitude of the tension T is = 60N

Calculation of magnitude

The mass of the object held at rest = 6kg

The angle of the object at rest is = 30°

The magnitude of force F acting vertically downwards = 410N

Acceleration due to gravity= 10m/s²

The magnitude of tension T = ?

Using the formula; 2T sin(α) = m × g

make T the subject of formula,

T = m × g/ 2sin(α)

T = 6 × 10/ 2 sin (30)

T= 60/2 × 0.5

T = 60/1

T= 60N

Therefore, the magnitude of the tension T is = 60N

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What is the symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: sodium

Answers

The properties of Sodium are as follows:

symbol = Naatomic number = 11number of protons = 11number of electrons = 11atomic mass = 22.989769 urounded atomic mass = 23 amunumber of neutrons = 12period: period 3

What are elements?

Elements are defined as any substance which cannot be split into simpler units aby a ordinary chemical process.

Elements are classified into metal, non-metals and metalloids.

Sodium one of the known 118 elements.

In the period table, sodium has the following properties:

symbol = Naatomic number = 11number of protons = 11number of electrons = 11atomic mass = 22.989769 urounded atomic mass = 23 amunumber of neutrons = 12period: period 3

In conclusion, sodium is an element in the periodic table.

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To polish leather shoes, people use shoe polish. What does this tell you about the surface of leather?

Answers

Answer: Polish creates a thin layer of wax on the surface of the leather which protects the leather from getting wet and undergoing wear and tear. It also has a lubricating effect on the leather keeping it supple and preventing the leather from drying out and cracking

please help!
will give branliest ​

Answers

12 n or 10n i can not see the other option! Sorry!!!

When a medication alters the velocity of the conduction of electricity through the heart, it is said to have a(n) _____________ effect.

Answers

When a medication alters the velocity of the conduction of electricity through the heart, it is said to have a Dromotropic effect.  

The word 'dromotropic' originates from the Greek word 'dromos' which means 'race' or 'running'. Dromotropic drugs are cardiac drugs that alter the conducting tissues of the heart, thereby affecting the velocity of the conduction of electricity through the heart.

Dromotropic drugs are given to patients in order to improve heart impulses. They alter the conducting tissues of the heart by changing the travelling speed of the SA node to the AV node.

Dromotropic drugs can either be negative or positive. Negative dromotropic drugs decrease the velocity of the conduction of electricity through the heart, while positive dromotropic drugs increase the velocity of the conduction of electricity through the heart.

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The temperature of 21.6 g of a metal rises by 6.04 o c when the metal receives 60.0 j of heat. what is the identity of the metal?

Answers

The temperature of 21.6 g of a metal rises by 6.04 o c when the metal receives 60.0 j of heat , the identity of the metal is 0.46J/gC.

The amount of heat energy needed to raise a substance's temperature by one degree Celsius per unit mass of that substance is known as its specific heat.

The amount of energy required to raise or lower a substance's temperature by 1 unit of 1 kg of material is its specific heat capacity.

Specific heat and specific heat capacity are measured in SI units of J/Kg.

Mass of the metal = m =2.16g

the temperature of metal =ΔT=6.04C

Energy of metal = Q= 60.0J

c∝Q/ΔT

c=q/mΔT

c=60.0J/(21.6g)(6.04)

c=60.0J/130.464g.C

c=0.459896J/g.C

Hence the specific heat capacity is 0.46J/gC.

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The amplifier in a battery-powered device is being designed to deliver 50 mw to a set of headphones. the impedance of the headphones can be chosen to be?

Answers

The impedance of the headphones can be chosen to be 32 ohms impedance.

           Z = V/I

What is impedance?

The perceived resistance to the flow of an alternating current in an electrical circuit, which is comparable to the real electrical resistance to a direct current and which equals the ratio of effective electromotive force to effective current.

The magnitude of the impedance Z of a circuit is equal to the maximum value of the potential difference, and  voltage, V (volts) across the circuit, divided by the maximum value of a current I (amperes) through the circuit, or simply Z = V/I. The unit of impedance, such  that of resistance, is the ohm.

Case 1 :

I²R = 2P

p = 50nW

R = 8 ohm

so, on solving,

V = 0.89442 V

Case 2 :

I²R = 2P

p = 50nW

R = 32 ohm

so, on solving,

V = 1.788 V

Case 3 :

I²R = 2P

p = 50nW

R = 1000 ohm

so, on solving,

V = 10 V

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Conducting a walking experiment, you walked 10 m in 5.7 s. what is your walking speed

Answers

My walking speed is 1.75 m.

What is speed?

Speed can be defined as the ratio of distance to time.

To calculate the walking speed, we use the formula below.

Formula:

S = d/t........................... Equation 1

Where:

S = Walking speedd = Total distancet = Time

From the question,

d = 10 mt = 5.7s

Substiotute these values into equation 1

S = 10/5.7S = 1.75 m/s

Hence, my walking speed is 1.75 m.

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How do transform faults provide information about the direction of plate motion?

Answers

A) Transform faults have a direction that is perpendicular to plate motion.

How can the directions of plate movements be determined using transform faults?

Consider the double line in the transform fault diagram to be the boundary of two diverging plates and consider which direction the diverging plates would be travelling.

Fewer transform faults rip across the lithosphere of the continent. The San Andreas Fault Zone in western North America is the most well-known illustration of this.

How would you describe the transform fault boundary’s motion direction?

Occasionally referred to as a strike-slip boundary, a transform fault or transform boundary is a fault along a plate boundary where the motion.

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When the voltage applied at the drain terminal is small, the mosfet channel behaves like a:___.

Answers

When the voltage applied at the drain terminal is small, the mosfet channel behaves like a Current controlled voltage source.

An active load is created when the drain and gate of a MOSFET are coupled together, creating a two-terminal device known as a "diode-connected transistor." An active load is created when the drain and gate of a MOSFET are coupled together, creating a two-terminal device known as a "diode-connected transistor." The drain-source (or source-drain) connection of the MOSFET can be made open or connected by adjusting the charge distribution between the gate and body. Both NMOS and PMOS transistors function as switches in this way, but the specifics of the operation vary between the two types.

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Write a sequence of mov instructions that will exchange the upper and lower words in a doubleword variable named three. (three = 12345678h three = 56781234h)

Answers

The MOV instruction for double word variable three is

mov ax, word ptr three

mov bx, word ptr three+2

mov three, bx

mov word ptr three+2, ax

What is the sequence for the doubleword variable named three (three = 12345678h)?

; initialize DWORD three

three DWORD 12345678h

; move the lower word (5678h) to ax

MOV ax, WORD PTR three

; move the upper word (1234h) to bx

MOV bx, WORD PTR[three + 2]

; move bx to lower word of three

MOV WORD PTR three, bx

; move ax to upper word of three

MOV WORD PTR[three + 2], ax

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226 ra decays into 222rn plus an alpha particle. how much energy is released in this process?

Answers

In the process of Alpha decay 226 radium decays into 222 radon plus an alpha particle. In this process the energy released is about 4.6 Mev.

What is Alpha decay?Alpha decay is a type of radio-active decay.Alpha decay is a nuclear decay process in which an unstable nucleus will get changes to another element by eliminating out a particle which is composed of two protons and two neutrons. The ejected particle is known as an alpha particle and is simply a helium nucleus.Alpha particles have a relatively large mass and a positive charge.

For example, In the process of Alpha decay 226 radium decays into 222 radon plus an alpha particle. In this process the energy released is about 4.6 Mev.

The number of protons of ra is 88 will be reduced to 86 and the number of neutrons of rn is 38 will be reduced to 36.

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Infer the importance of publishing the results of scientific testing
and analysis.

Answers

Publishers have the duty of supplying a platform for the exchange of medical data, whilst at the identical time, it's miles the duty of the authors, analysis magazine editors, and peer reviewers to ensure that the posted manuscripts are accurate.

It is through publication that the research, inclusive of their scientific and sensible contributions, is disseminated to others on a particular subject. This makes medical researchers and practitioners with comparable pastimes aware of the latest expertise in their field and it facilitates advanced know-how and its utility. at the same time as many editors and peer reviewers expect that studies posted in their journals have to be probably reproducible, there are no set methods to empirically check whether a finding may be independently reproduced.

A chief supply of irreproducibility additionally testing consists of widespread systematic blunders, that can arise while scientists are engaged in the experiments or all through statistical analyses Goodman et al 2016. Systematic errors can occur for a ramification of reasons, such as loss of medical talent two people acting in the same experiment may not have the same level of revel in or variability in issue populations or reagents Capes‐Davis & Neve, 2016. similarly, whilst a researcher has an insufficient statistical understanding or there are honest flaws inside the experimental layout and statistical output, the mistakes generated might inappropriately have an effect on the translation of the results Baker, 2016 Steen Casadevall, Fang 2013.

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A net force of 16 Newtons is acting on a mass of 50 kg. What is the acceleration of the object?

Answers

Newton’s 2nd law of motion states that Force = Mass • Acceleration. With that in mind, we can switch the process around to use the formula:

Acceleration = Force / Mass

Given the formula, we can set up an equation with “a” being a variable that represents acceleration:

a = 16 / 50

16 / 50 = 16/50

16/50 can be reduced to 8/25.

8/25 converts to 32/100 because we can multiply the numerator and denominator by 4.

The acceleration of the object is 0.32 kg.

A 16.0 mh inductor is connected across an ac generator that produces a peak voltage of 9.40 v. what is the peak current through the inductor if the emf frequency is 100 hz?

Answers

By using inductive reactance, the current is 0.93 A.

We need to know about inductive reactance to solve this problem. The inductive reactance is the internal resistance in the inductor caused by changing current. It can be described as

XL = ω . L

where XL is inductive reactance, ω is angular speed and L is inductance.

The angular speed can be determined by

ω = 2π . f

where f is frequency.

From the question above, we know that

f = 100 Hz

L = 16 mH = 16 x 10¯³ H

V = 9.4 V

By substituting the given parameters, we get

XL = ω . L

XL = 2π . f . L

XL = 2π . 100 . 16 x 10¯³

XL = 10.06 Ω

Find the peak current

V = I . XL

9.4 = I . 10.06

I = 0.93 A

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2m east, then 3m north, then 4m west
What the total distance travelled and the net displacement?

Answers

The net displacement is obtained to be 3.6 m.

What is the net displacement?

We know that distance is a scalar quantity and displacement is a vector quantity. Based on this fact, a scalar has a magnitude but lacks direction while vector has both magnitude and direction.

We know that the total distance could be obtained algebraically since distance is a scalar quantity hence we have the total distance as; 2 m + 3m + 4m = 9 m

The net displacement must be obtained geometrically;

Horizontal component of displacement = 4 m - 2m = 2m

Vertical component of displacement = 3m

Net displacement = √2^2 + 3^2

= 3.6 m

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You are trying to find out how high you have
to pitch a water balloon in order for it to burst
when it hits the ground. You discover that
the balloon bursts when you have pitched it
to a height of 13 m.
With what velocity did the balloon hit
the ground? The acceleration of gravity is
9.8 m/s. The positive direction is up, so the
velocity when it hits is negative.
Answer in units of m/s.

Answers

The velocity of the body is 15.96 m/s.

With what velocity does it hit the ground?

We know that equations of kinematics could be used to obtain the velocity with which the pitcher would hit the ground. In this case we have the following;

Height of the ball = 13 m

Acceleration due to gravity = 9.8 m/s

Using;

v^2 = u^2 + 2gh

v = final velocity

u = initial velocity

g = acceleration due to gravity

h = height

u = 0 m/s since it was dropped from a height

v^2 = 2gh

v = √2 * 9.8 * 13

v = 15.96 m/s

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A bag of flour contains 5.00 lbs of flour. you have 3.20 tons of flour. there are 2000lbs per ton how many bags of flour can you make?

Answers

If a bag of flour contains 5.00 lbs of flour. you have 3.20 tons of flour. there are 2000 lbs per ton, then there would be 1280 bags of flour that can be made.

What is multiplication?

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.

As given in the problem, if a bag of flour contains 5.00 lbs of flour. you have 3.20 tons of flour. there are 2000lbs per ton,

The number of bags = 3.20*2000/5.00

                                   =1280 bags

Thus, there would be 1280 bags of flour.

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Hating someone
and dreads this meeting. What type of interference is this?
A decay
B. transient
C. motivated
D. retroactive

Answers

Answer:

Is this psychology or something?

Represent each of the following as a number between 0.1 and 1000 using an appropriate prefix:_________
(a) 45 320 kn, (b) 568(105) mm, and (c) 0.00563 mg.

Answers

45320 kN can be represented as 45.32×10³ kilo Newtons,568 mm can be represented as 0.568 meters and 0.00563 mg can be represented as 5.63×10³ micrograms.

What is a unit of measurement?

A unit of measurement is a recognized and accepted standard for calculating other amounts of the same kind. It has already been decided by law or convention.

As stated in the issue, Use the proper prefix to represent each of the following as a number between 0.1 and 1000:

In this way, 45.32103-kilo Newtons, 0.568 meters, and 0.00563 mg may all be represented as 5.63103 micrograms, 45.32103-kilo Newtons, and 45.32103-kilo Newtons, respectively.

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An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled?.

Answers

The gas temperature change if the volume is halved and the pressure is tripled by factor 6.

What is an ideal gas?

An ideal gas is theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.

Considering combined law equation:

Temperature increases by factor of 6.

Gay-Lussac's Law

Gay-Lussac's Law indicates that, as long as volume of the container containing the gas is constant, as the temperature increases, the gas molecules move faster. Then number of shocks against the walls increases, that is, the pressure increases. That is, gas pressure is directly proportional to its temperature.

In summary, when there is constant volume, as the temperature increases, the gas pressure increases. And when temperature decreases, gas pressure decreases.

Gay-Lussac's law can be expressed as mathematically as follows:

where:

P= pressure

T= temperature

k= Constant

Boyle's Law

Pressure and volume are related by Boyle's law, which says that volume occupied by a given mass of gas at constant temperature is inversely proportional to pressure.

Boyle's law is expressed mathematically as follows:

P× V=k

where:

P= pressure

V= volume

k= Constant

Charles's Law

Finally, Charles's Law consists of the relationship that exists between the volume and the temperature of certain amount of ideal gas, which is maintained at a constant pressure.

This law says that for given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases. That is, volume is directly proportional to the temperature of the gas.

In summary, Charles' law is a law that says that when amount of gas and pressure are kept constant, the ratio between volume and temperature will always have the same value:

where:

V= volume

T= temperature

k= Constant

Combined law equation

Combined law equation is combination of three gas laws called Boyle's, Charlie's and Gay-Lussac's law:

Studying the two different states, an initial state 1 and an final state 2, the following will be true:

In this case, you know that:

Volume is double: V2= 2×V1

Pressure is tripled: P2= 3×P1

So, replacing in combined law equation:

Solving:

T2= 6×T1

Finally, temperature increases by a factor of 6.

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What forces are acting on the climber?

Answers

The force of gravity is one of the forces acting on the climber.Gravity acts from underneath the climber.

A bottle of wine contains 11.0thanol by volume. the density of ethanol () is 0.789 . calculate the concentration of ethanol in wine in terms of mass percent and molality.

Answers

Mass % of ethanol :  8.885

molality of ethanol : 2.12m

Given:

Wine = 11 % ethanol by volume

density of ethanal = 0.789 g/cm3

density of water = 1 g/cm3

let 100 cm3 wine  → 11.0 [tex]cm^3[/tex] ethanol, 89.0 [tex]cm^3[/tex] water.

Mass of ethanol = d x V = 0 789 g/cm3 x 11 cm3 = 8.679 cm3

Mass of water = d x Y = 1.000 g/cm3 x 89 cm3) = 89.00 cm3

Total mass of 100 cm3 wine = 8.679+89 = 97.679 cm3

Mass for % of ethanol = 8: 674 X100 = 8.8857 %

Molar mass of ethanol = 46 g/mole

Moles of ethanol = 8.679/46  = 0.1887 mole

Molality of ethanol = 0.1887/0.089 = 2.12 m

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