How many coulombs of positive charge are there in 1. 21 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons?

Answers

Answer 1

By Avogadro's number, the positive charge of plutonium is 4.5 x 10⁸ C.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many atoms are in one mol. The Avogadro's number is

Na =  6,02 × 10²³ atoms / mol

From the question above, we know that

m = 1.21 kg = 1210 g

Ar = 244

λ = 94 protons/atom

By using Avogadro's number, we can calculate how many plutonium atoms

N = Na . n

N = 6,02 × 10²³ x gr/Mr

N = 6,02 × 10²³ x 1210/244

N = 3.01 x 10²⁵ atoms

Find the protons

protons = λ . N

protons = 94 . 3.01 x 10²⁵

protons = 2.83 x 10²⁷

Each proton has a charge 1.6 x 10¯¹⁹ C. Hence, the positive charge of plutonium is

Q = 2.83 x 10²⁷ . 1.6 x 10¯¹⁹ C

Q = 4.5 x 10⁸ C

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Related Questions

WILL MARK BRAINLIEST 5) A car slams on its breaks and comes to a complete stop over a
distance of 100m. If the car's rate of acceleration was -3.7 m/s², what
is the car's initial speed?

Answers

Answer:

27 m/s

Explanation:

Vf = Vo + a t

0  = vo + (-3.7)t

vo = 3.7t   use this value in the next equation

Displacement = vo t +   1/2 a t^2

100 = 3.7t^2 + 1/2 (-3.7)(t^2 )

100 = 1.85 t^2            t = 7.352 s

vo= 3.7 t = 3.7 * 7.352 = 27. m/s

Determine the tension developed in the cable ab required to support the traffic light, which has a mass of 25 kg . take h = 3.5 m.

Answers

The tension developed in the cable is 245.25 N.

What is tension Force?

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by either end of a rod, truss member, or other comparable three-dimensional object.

Tension can also be thought of as the action-reaction pair of forces acting at each end of the aforementioned elements. The polar opposite of compression might be tension.

Calculation

Only two forces act on the traffic light: the tension T of the cable (upward) and the weight of the traffic light (downward).

The weight is mg = 25 x 9.81 = 245.25 N

If the traffic light is at equilibrium, the resultant of the two forces must be equal to zero (Newton's second law):

T - mg = 0

Therefore, the tension of the cable is.

T = mg = 245.25 N

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Friction is a force caused by the contact of one surface on another.
a. true
b. false

Answers

Friction is a force caused by the contact of one surface on another: a. true

The Friction force is the force that opposes the displacement of an object or body on a contact surface. The greater the opposition the contact surface exerts on the displacement of an object, the greater the frictional force.

The general formula for the friction force is:

Fr = μ * N * Uv

Where:

Fr= Frictional forceμ= Friction coefficient. It is a dimensionless value that depends on the nature and treatment of the substances in contact.N=  Modulus of the normal force.Uv = Unit vector in the direction and sense of the velocity vector.

What is force?

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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A solution is prepared by adding 1.43 mol of kcl to 889 g of water. the concentration of kcl is ________ molal.

Answers

A solution is prepared by adding 1.43 mol of KCL to 889 g of water. The concentration of KCL is 1.61 molal.

What is molality?

Molar concentration, also known as molarity, quantity concentration, or substance concentration, is a unit used to describe the amount of a substance in a solution expressed as a percentage of its volume.

The number of moles per liter, denoted by the unit symbol mol/L or mol/dm3 in SI units, is the most often used unit denoting molarity in chemistry. One mol/L of a solution’s concentration is referred to as one molar or 1 M.

Mol of Kcl (potassium chloride) = 1.43

water = 889 g = 0.889kg

Molality = Moles of solute/kilograms of solvent

So, it comes as m = 1.43/0.889 = 1.61 molal

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Three identical capacitors are connected in parallel to a potential source (battery). if a charge of q flows into this combination, how much charge does each capacitor carry?

Answers

Each capacitor carries a charge of 1/3q as they are identical.

These capacitors are identical and the combination is connected in parallel to each other.So each should receive an equal portion of the total charge when received from the power source.If the combination is connected in series to each other, then each one would receive the same amount of charge, not a portion of the total charge (in such a case the total charge would be 3q).To know this more precisely, consider the simple formula used for a capacitor: [tex]Q = CV[/tex].In a parallel arrangement, the potential is the same for each one and since the capacitance is equal, the charge one would carry is the same as well.Then the total charge [tex]q[/tex] is the sum of each capacitor's charge which yields [tex]q = 3Q\,\,\to\,\,Q = \frac{q}{3}[/tex] .

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Systems a and b contain the same substance. if system a is a saturated vapor, and has the same pressure as system b, but system b has a higher enthalpy value than a, what phase is system b in?

Answers

Since System B has a higher enthalpis at a given pressure than a saturated vapor, it is in superheated vapor.

By "superheated vapor," what do you mean?

Solvent vapor is heated over its usual boiling point at atmospheric pressure to create superheated vapor. Its capacity to heat objects over the boiling point of the solvent it uses is what makes it special. The primary purpose of superheated vapor is to burn off any remaining liquid solvent that has been trapped in cracks of parts. A vapor that is saturated and on the verge of condensing. The equilibrium between the liquid and vapor phases is known as a saturated liquid-vapor mixture. Vapor that is excessively heated but not yet ready to condense (i.e., not a saturated vapor). You can produce superheated steam by using, for instance, steam that has been extracted from a boiler. It is then sent through a different heater, referred to as a superheater, to add more heat to the steam through radiation or direct contact. Because it ensures that the liquid refrigerant is boiled off before leaving the evaporator and moving to the compressor, superheating is essential in HVAC systems.

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An object is pulled northward with a force of 10 n and southward with a force of 15 n. the magnitude of the net force on the object is:________
a. 0 n.
b. 5 n.
c. 10 n.
d. 15 n.

Answers

The correct option is (b) 5n

As a result, there is a net downward force of 5N operating on the object.

The resultant force is the force that results from adding the vector sums of all the forces operating on an item. The combined action of all the acting forces on the object produces the same effect as the resulting force. When determining the resulting force, the direction of the forces must be taken into account.

Given;

The northward force is Fn = 10N

The southward force is Fs = 15N

Required;

The net force on the mobile phone is Fnet = ?N

The object's weight exerts downward pressure, and upward resistance exerts upward pressure. The vector sum of these two forces will be the net force.

Fnet = Fs - Fn (Considering the direction downward as positive)

Fnet= 15N - 10N

Fnet = 5N

As a result, there is a net downward force of 5 N operating on the object.

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Due to radiation and absorption, what is the maximum flame temperature in a fire?

Answers

The maximum flame temperature in a fire is 1500-1600K due to radiation and absorption.

What do you mean by radiation and absorption?

In physics, matter (usually electrons bound in atoms) absorbs electromagnetic radiation in order to convert the energy of a photon into the internal energy of the absorber (for example, thermal energy). Attenuation, or the steady decrease in light wave intensity as it travels through a medium, is a prominent effect. In some circumstances (optics), the medium's transparency changes by a factor that varies as a function of wave intensity, leading to saturable absorption (or nonlinear absorption), even though the absorption of waves typically does not depend on their intensity (linear absorption).

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A test rocket at ground level is fired straight up from rest with a net upward acceleration of 20 m/s2. After 4.0 s, the motor turns off, but the rocket continues to coast upward with insignificant air resistance. What maximum elevation does the rocket reach?

Answers

The maximum elevation the rocket will reach is 160 m.

Maximum height attained by the rocket

The maximum height reached by the rocket is calculated as follows;

h = vt + ¹/₂at²

where;

v is the initial velocity of the rocket = 0t is the time of motiona is the acceleration of the rocket

substitute the given parameters and solve for maximum height.

h = 0  +  ¹/₂(20)(4)²

h = 160 m

Thus, the maximum elevation the rocket will reach is 160 m.

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True or false kinetic energy is the energy associated with its position or composistion

Answers

Kinetic energy is not the energy associated with its position or composition.

Energy is the crucial for sustenance of every being. The potential energy is present in every object and cannot be given to another object. Explosives contain the chemical potential energy that is released as kinetic energy and heat after ignition.

What is the kinetic energy?

Kinetic energy is not energy associated with the position or composition. It is the energy related with the motion.

The total energy of the universe is a constant as energy can be changed from one form to another but cannot be created nor destroyed. Systems changes in order to lower their potential energy. Energy can be changed from one type to the another. Energy is capacity to do work.

Kinetic energy, form of the energy that an object or a particle has by reason of its motion. If the work, which transfers energy, is done on an object by applying net force, the object speeds up and thereby gains kinetic energy. The kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass.

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A battery is discharging. electric current exits the battery through the ______ terminal, at a ______ potential than when it entered

Answers

When a battery discharges the current exits through the positive terminal at a higher potential than it entered.

When a battery discharges the current exits the battery through the positive terminal as a circuit connected to that should conduct current from positive to a negative potential.Accordingly, the current enters the battery at its negative terminal.In practicality, batteries contain some internal resistance that restricts the current flow during current flow.That is why there is a potential difference between the 2 terminals.To drive the current through the external circuit connected to the battery, it keeps a higher potential at its positive terminal while the negative terminal is kept at a lower potential in contrast.

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Materials whose constituent particles are bound by which type of bond are generally expected to have the lowest melting temperatures?

Answers

Materials whose constituent particles are bound by Vander waal's type of bond are generally expected to have the lowest melting temperatures

What is Vander waal's interaction ?

When two atoms are close enough to each other that their outer electron clouds just barely contact, van der Waals interactions take place. This causes charge oscillations that produce a unidirectional, nonspecific attraction.

Hydrogen bonding, dispersion forces, and dipole-dipole interactions are examples of van der Waals forces.

Van der Waals forces come in three different flavours: dispersion (weak), dipole-dipole (medium), and hydrogen (strong). Polar molecules and ions join together to produce ion-dipole bonds, which connect ionic species to covalent molecules. Usually, these chemicals form medium- to strong-bonding structures.

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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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If two insulated wires were to melt together where the copper conductors touched each other, the type of failure would be called a(n) ________.

Answers

A short to voltage failure would occur if the copper conductors of two insulated wires came into contact and melted together.

Describe voltage:

The difference in electric potential between two points, also known as voltage, electric potential difference, electric pressure, or electric tension, is measured as the amount of work required to move a test charge per unit of energy between the two sites.

What is voltage formula?

The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.

What different voltages are there?

Electrical services are categorized:

Low Voltage: 1000 volts or less.Medium Voltage is defined as much over 1000 volts and under 100 kV.High Voltage is defined as voltages of at least 100 kV but not more than 230 kV.Ultra-High Voltage is defined as 1000 kV or more.

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If a construction worker drops a rench from a height of 1000 feet, how fast will the wrench be falling after 5 seconds?

Answers

The distance actually fallen in t seconds is defined by d = Vot + 16t^2 or 16t^2 with an initial velocity of Vo = 0.

And the object will fall at 160ft/sec speed.

Velocity, both initial and final

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector quantity that measures the

The position of an object dropped from a height of 1000 ft. is given by s = 1000 – Vot – 16[tex]t^{2}[/tex], or 1000 – 16[tex]t^{2}[/tex] for Vo = 0, s being the distance from the ground.

The equation s(t) = Vot – 16[tex]t^{2}[/tex] is the height reached when propelled upward at a velocity of Vo.

An object dropped from a height if 1000 ft. will have a velocity of

Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.

The distance fallen in this 5 second is s = Vot + [tex]\frac{gt^2}{2}[/tex] = Vot + 16[tex]t^{2}[/tex] = 0 + 16([tex]5^{2}[/tex]) = 400 feet, making the position, or distance, from the ground 600 feet.

The formula d = Vot + 16[tex]t^{2}[/tex] or 16 [tex]t^{2}[/tex]with an initial velocity of Vo = 0 determines the distance that actually fell in t seconds.

The position of an object dropped from a height of 1000 feet can be calculated using the formula s = 1000 – Vot – 16t2, or 1000 – 16t2 for Vo = 0.

The height attained when moving upward at a velocity of Vo can be calculated using the equation s(t) = Vot – 16t2.

The velocity of an item falling from a height of 1000 feet is Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.

The location, or distance, from the ground is 600 feet due to the distance that was lost in these five seconds: s = Vot + gt2/2 = Vot + 16t2 = 0 + 16(52) = 400 feet.

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The force experienced by a unit test charge is a measure of the strength of an electric:
-zone
-field
-sphere
-sector

Answers

Answer:

the answer should be field.

The amount of voltage induced into a conductor moving in a magnetic field depends on the ______.

Answers

A measure of how quickly a conductor moves across a field. The voltage induced increased as the conductor moved through the field more quickly. The induced voltage and speed are directly inversely proportional.

When a conductor is moved in a magnetic field, a voltage will be induced on the conductor.?

Current can only flow when a circuit is closed or complete, hence, unless the circuit is completed current will not flow

What is Electro-Magnetic Induction?

This a phenomenon whereby a wound wire or a soft core of conductor made to cut across magnetic line of force and an E.M.F is generated, this E.M.F forces current to flow if the circuit is completed.

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Measuring human impact and comparing it with the biophysical world's carrying capacity is known as:________-

Answers

Measuring human impact and comparing it with the biophysical world's carrying capacity is known as Ecological footprint.

What is Ecological footprint?

The Global Footprint Network promotes the ecological footprint as a way to assess how much nature is needed to sustain a certain number of people or an economy. Through an ecological accounting system, it monitors this demand. The accounts compare the biologically productive areas used by people for consumption to the biologically productive areas available in a region or throughout the world (biocapacity, the productive area that can regenerate what people demand from nature). It measures the effects of humans on the environment, to put it briefly.

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Compare collinear points and coplanar points- ar ecollinear points also coplanar?

Answers

The collinear points are also known as coplanar but coplanar cannot be collinear all the time.

What is collinear points and coplanar points?

The difference between Collinear Points and Coplanar Points is that the former a states that if three or more points lies in a straight line  and a line on which the points lie, especially if it is related to a geometric figure such as triangle, is also called an axis while the latter are simply the same as the meaning of the Collinear but lies on the same plane.

Collinear points lie on the same line and  Coplanar points also lies in the same plane.

For example, we have a image which has 3 points A, B and C on the plane M. Those points and plane lies on the same line. So, that it can be known as collinear and coplanar.

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When osmium goes from a solid to a liquid and finally a gas, the element has undergone _____.

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When osmium goes from a solid to a liquid and finally a gas, the element has undergone phase changes

The osmium is a transition chemical element which is also known as "Os" in the periodic table. Its atomic number is 76. It is hard, brittle, bluish metal at room temperature, but it can be liquid when it heats up until its melting point (3000°C) and if it keeps heating it can finally be a gas when it reaches its boiling point (5500°C).

What are the phase change materials?

The phase change materials, also known as PCMs, are the elements able to absorb, store and release large amounts of heat over a defined temperature range when the element changes phase or state.

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a stick is dropped off a cliff what is the sticks intial velocity? Show work

Answers

I am pretty sure if an object is dropped off a cliff then the initial velocity
should be 0/ms. Not sure about the show work part tho.

A basketball weighs 20. ounces and has a volume of 456 in3. what is the average density of the basketball in g/cm3?

Answers

The basketball that 20 ounces and has a volume of 456 in3 has a density of 0.076 g/cm3

The density formula and the procedure we will use is:

ρ = m/v

Where:

v= volumeρ= densitym= mass

Information about the problem:

m = 20 oz

v = 456 in3

ρ= ?

By converting the mass from ounces to grams, we get:

20 oz * (28.3495 g / 1 oz) = 566.99 g

By converting the volume from in3 to cm3, we get:

456 in3 * (16.3871 cm3 / 1 in3) = 7472.52 cm3

Applying the density formula, we get:

ρ = m/v

ρ = 566.99 g/ 7472.52 cm3

ρ = 0.076 g/cm3

What is density?

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

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A ground state hydrogen atom absorbs a photon of light having a wavelength of 92.27 nm. it then gives off a photon having a wavelength of 383.4 nm. what is the final state of the hydrogen atom?

Answers

Absorption or emission lines for hydrogen occur when electrons change energy levels. These correspond to specific wavelengths and can be calculated by using:

1/λ = RH (1/n^2f - 1/n^2)

RH = 1.09737×10^7m^−1 is the Rydberg constant

For the 92.97 absorption, initial=1, solve for final

1/92.92×10^-9=R(1/1^2 - 1/final^2)

(1/92.97×10^-9)*(1/1.096775×10^7)=1/1^2 - 1/final^2

final=8

When 384.3 wavelength is released n=8 will be initial level. Solve for final level.

-1/383.4×10^-9=R(1/8^2 - 1/final^2)

(-1/383.4×10^-9)*(1/1.096775×10^7)=1/8^2 - 1/final^2

final = 2

When n = 2 the electron will land at that level.

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In diving to a depth of 374 m, an elephant seal also moves 311 m due east of his starting point. what is the magnitude of the seal's displacement?

Answers

The magnitude of the seal's displacement will be 486.41m

What is the concept of displacement?

There are an endless number of paths that can be built between two places. The distance is the name given to any specific length of path. There is a path with the shortest distance out of all of these, and the length of that path is determined by the size of a properly specified vector quantity called the displacement.

Given that an elephant seal goes 311 m to the east of his starting location when diving to a depth of 374 m.

Allow the seal to begin at point A and dive deep to reach position B. In the illustration below, his displacement is highlighted in red:

The hypotenuse of the right triangle ABC can be located to determine the displacement's magnitude.  

We discover:

displacement of the seal = [tex]\sqrt374^{2} +311^{2} = 486.41m[/tex]

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An electron travels 3.31 m in 5.83 x 10 to the -8 s. How fast is it traveling?

Answers

Speed of electron with which it is traveling is

0.56 x 10^8 m/s

It is given that

distance travelled by electron is 3.31 m

time taken to travel = 5.83 x 10^-8 s

We have to find Speed of electron with which it is traveling

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Speed = distance/time = 3.31/5.83 x 10^-8

Speed = 0.56 x 10^8 m/s

Hence, Speed of electron with which it is traveling is 0.56 x 10^8 m/s

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A car is just starting up from a stop sign and has zero velocity at the instant that it starts. must the acceleration of the car also be zero at this instant?

Answers

Yes. hence the change in velocity is acceleration. There won't be a change in velocity if there is no velocity.

With an example, what is acceleration?It is possible for an object's velocity to alter by increasing, decreasing, or changing its direction of motion. A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a set of traffic lights.How is acceleration measured?A metre per second per second (m/s2) is used to measure acceleration.The snewton is the unit of force responsible for producing an acceleration of one meter per second per second when applied to a mass of one kilogram.

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The mass of an apple was 84.0 g.
The volume of the apple was 120 cm³.
Calculate the density of the apple.
Give your answer in g/cm³.

Answers

Density = mass / volume
= 84 / 120
= 0.7 g / cm^3

A copper wire has a diameter of 1.572 mm. what magnitude current flows when the drift velocity is 2.29 mm/s? take the density of copper to be 8.92 103 kg/m3.

Answers

By using the drift velocity of the electron, the current flow is 6.02 ampere.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

d = 1.572 mm

r = (0.001572 / 2) m

v = 2.29 mm/s = 0.00229 m/s

ρ = 8.92 x 10³ kg/m³

q = e = 1.6 x 10¯¹⁹C

Find the atom density

n = Na x ρ / Mr

where Na is Avogadro's number (6.022 x 10²³), Mr is the atomic weight of copper (63.5 g/mol = 0.635 kg/mol).

n = 6.022 x 10²³ x 8.92 x 10³ / 0.635

n = 8.46 x 10²⁷ /m³

Find the current flows

v = I / (n . A . q)

0.00229 = I / (8.46 x 10²⁷ . πr² . 1.6 x 10¯¹⁹)

0.00229 = I / (8.46 x 10²⁷ . π(0.001572 / 2)² . 1.6 x 10¯¹⁹)

I = 6.02 ampere

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CS
A bicyclist steadily speeds up from rest to 9.00m/s in 3.10s.
How far did she travel during this time?
unit

Answers

vi + vf = 2x/t
0 + 9= 2(x)/3.10
2x = 3.10 x 9
2x = 27.9
x = 13.95m

What do you think will be the pressure result of the current experimental conditions?

Answers

Pressure above the left beaker the pressure outcome of the current experimental circumstances.

What do u mean by pressure?

Either the action of pressing or the state of pressing. A strain or force exerted against resistance in any direction. Force per unit of area is a measure of force exerted uniformly over a surface.

Pressure is the ratio of the force applied perpendicularly to an object's surface to its area. Its abbreviation is "p" or "P."

The force applied by one region of a gas, liquid, or solid to another, expressed as a function of area. A substance is said to have negative pressure if another substance exerts greater force per unit area on it than it does on it. Pressure is commonly measured in Pascal units, atmospheres, or pounds per square inch. Its value is just the opposite of the pressure the other substance is exerting.

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From which two food groups should teens select the same number of servings each day? What do you know about the relationship between john and elizabeth proctor from the stage action and opening dialogue of act ii? 14. Determine whether the relation shown in thetable is a function. Explain. (Lesson 2-1)DomainRange-48211-413513 which sentence most clearly describes the genre of a story A. in this kind of story, two characters usually fall in love after a fightB. main characters with a lot of backstory tend to be more interestingC. by starting the story in medias res, the author confuses the readerD. video game adaptations of a movie are rarely enjoyable for anyone Why did benjamin franklin assemble the first continental congress in philadelphia in 1774?. Which of the following describes type 2 diabetesmellitus?O strongly associated with obesityO most often diagnosed during childhoodO associated with a tendency to develop ketosisO sometimes caused by a viral infection Payment is made for machinery purchases previously on credit. what effect does this transaction have on the accounting equation? use this to find the equation of the tangent line to the curve at the point and write your answer in the form: , where is the slope and is the y-intercept. The descriptions of orgasm written by men and women are ________, and pet scans indicate that ________ subcortical brain regions are active in men and women during orgasm. The population is the unit of natural selection. group of answer choices a. true b. false Professional handling of confidential sociological field notes entails __________. According to the donabedian model, changes to health status, behavior changes, and knowledge changes are all part of what? Which of the following is a trinomial with a constant term?O A. yo +8y +GAYOB. XOC. x + yOD. x+ 2y + 10 Luis is in charge of writing the outline for his department's quarterly sales presentation so each member knows what to prepare. This responsibility relies MOST on which of the six key communication skills?adaptabilityplanningcreative expressionanalysis The rule for all objects in perspective is that the closer they come to eye level, the flatter they will appear. helppppppppppppppppppp What are the zeros of the expression (x-5)(2x+7) Help Find a if A = 8a . Describe how liquid changes to gas using the following terms at least once. Word Bank: particle speed, thermal energy, particle spacing, liquid, gas, evaporation! (please give an answer quickly!) One way in which the Declaration of Independence and the original United StatesConstitution are similar is that both promote the idea ofO equal rights for womenO voting rights for adult citizensO the consent of the governedO judicial review of unjust laws