Angular momentum is the rotational analog of linear momentum, found by taking the product of moment of inertia and ___________________.

Answers

Answer 1

Angular momentum is the rotational analog of linear momentum, found by taking the product of moment of inertia and The reciprocal of linear acceleration is angular velocity.

The right-hand rule, which uses the thumb to indicate the direction of angular velocity momentum and four fingers to represent the direction of motion, can be used to determine the direction of angular momentum.

Angular momentum is a characteristic that describes an object's rotatory inertia while it is moving about an axis that may or may not pass through it.

Torque is needed in rotational motion to cause an item to accelerate angularly. The distribution of the object's mass affects how much torque is needed to produce an angular acceleration. The value that describes the distribution is called the moment of inertia.

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Related Questions

Water flows at a rate of 3.11 kg/s through a hose with a diameter of 3 cm. what is the speed of the water in the hose?

Answers

Water flows at a rate of 3.11 kilograms / seconds through a hose with a diameter of 3 centimetres. then the speed of the water in the hose would be 4.40 meters / second.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. The velocity of an object depends on the magnitude as well as the direction of the object.

As given in the problem if Water flows at a rate of 3.11 kg/s through a hose with a diameter of 3 cm.

Area of the hose = πD²/4

                            =3.14*3*3/40000

                            =7.065×10⁻⁴ meter²

The discharge of the water = 3.11/1000

                                              =3.11×10⁻³ meter³

The discharge of the water = area of hose ×velocity

3.11×10⁻³ meter³ = 7.065×10⁻⁴ meter²×velocity

velocity = 3.11×10⁻³ /  7.065×10⁻⁴

             =4.40 metes/ second

Thus,the speed of the water in the hose would be 4.40 metes/ second.

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Please help me write binary ionic compound to number 1

Answers

Answer:

Na+ca+CO=NACo^3

Explanation:

NA Burns violently with explosions that may spatter the material. Used for making gasoline additives, electric power cable, sodium lamps, other chemicals.

In a solar panel for heat supply,state the function of each of the following parts:a) metal flat plate b) thermal insulator c) tubes

Answers

Thermal insulators stop the loss of accumulated heat, metal flat plates absorb solar radiation, and tubes absorb solar energy with the least amount of heat loss.

Briefing : A coated metal plate absorbs solar energy, raising its temperature above the surrounding air. The plate then disperses energy into its immediate surroundings through radiation and convection. The heat-transfer fluid receives the heat as a result, and the hot water system is then fueled. Thermal solar collectors with insulation improve absorption efficiency and prevent the loss of accumulated heat.These tubes absorb the sun's energy while minimizing heat loss to the environment by using a vacuum, or evacuated space. The heat captured from the Sun is transferred to the water through a heat pipe that is attached to an inner metal tube that serves as the absorber plate.

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What is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 45 rpm (revolutions per minute) if the wheel's diameter is 40 cm ?

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The magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 45 rpm (revolutions per minute) if the wheel's diameter is 40 cm is [tex]4.418m/s^2[/tex].

Acceleration and change in velocity has both magnitude and acceleration because it is a vector quantity. Units are used to describe magnitude. The factors that affect acceleration include time, velocity, force, and many others. Both translation and rotation are possible.

The vector's magnitude determines its length. The vector's direction determines its direction. As a result, the acceleration's magnitude matches the acceleration vector's magnitude, and its direction matches the acceleration vector's direction.

Acceleration of speck of clay

[tex]a_R=V^2/R[/tex]

[tex]a_R=(\omega R^2)/R[/tex]

[tex]a_R=\omega R[/tex]

Given, the frequency of Potters wheel

f=45rpm

f=45(1min/60sec)

f=45/60 revolution/sec

ω=2πf

ω=2(3.14)(45/60)

ω=4.7 rad/sec

[tex]a_R=(4.7 rad/sec)^2(0.40/2 m)[/tex]

[tex]a_R=4.418m/s^2[/tex]

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Calculate the time it takes for a bat to detect a predator approaching at a distance of 1000m away. assume sounds travel 330 m/s in air

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A bat will take  3.03 s to detect a predator approaching at a distance of 1000m away

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

x = distancet = timev = velocity

Information about the problem:

v = 330 m/sx = 1000 mt = ?

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 1000 m / 330 m/s

t = 3.03 s

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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A flask contains equal masses of f2 and cl2 with a total pressure of 3.05 atm at 298k. what is the partial pressure (in atm) of cl2 in the flask?

Answers

The partial pressure of [tex]$\mathrm{Cl}_2$[/tex] in the flask is [tex]$1.067 \mathrm{~atm}$[/tex]

Partial pressure can be derived through the following:

Total pressure of a gas mixture = sum of the partial pressures of individual gases

[tex]\mathrm{P}(\text { total })=\mathrm{P}\left(\mathrm{f}_2\right)+\mathrm{P}\left(\mathrm{Cl}_2\right)[/tex]

Partial pressure = Mole fraction [tex]$\times$[/tex] Total pressure

Let us represent the mass of each gas as [tex]\mathrm{m}.[/tex]

Number of moles of [tex]$F_2=\mathrm{m} / 38$[/tex] (molar mass of [tex]$\left.\mathrm{Fl}_2\right)=38 \mathrm{~g} / \mathrm{Lol}$[/tex]

Number of moles of [tex]$\mathrm{Cl}_2=\mathrm{m} / 71$[/tex](molar mass of [tex]$\mathrm{Cl}_2$[/tex] )

Mole fraction of [tex]$F_2=(\mathrm{m} / 38) /(\mathrm{m} / 38)+(\mathrm{m} / 71)=0.65$[/tex]

Mole fraction of [tex]$\mathrm{Cl}_2=(\mathrm{m} / 71) /(\mathrm{m} / 38)+(\mathrm{m} / 71)=0.35$[/tex]

Partial pressure of [tex]$\mathrm{Cl}_2=0.35 \times 3.05=1.067 \mathrm{~atm}$[/tex]

Partial Pressure of [tex]$\mathrm{F}_2=0.65 \times 3.05 =1.98 \mathrm{~atm}$[/tex]

Mole fraction is the ratio of the moles of solute or solvent in solution to the total number of moles of both the solvent and solute

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When a value is assigned to a property, the property's __________ is executed and the value being assigned is contained in the value parameter.

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The property's set accessor is executed, and the value being assigned is contained in the value parameter.

In properties, a get accessor is used to return a property value and a set accessor is used to assign a new value. The value keyword in set accessor is used to define a value that is going to be assigned by the set accessor. In c#, a property is called an auto-implemented property when it contains accessors (get, set) without having any logic implementation. Also, in c#, properties will enable class variables to expose in a public way using get and set accessors by hiding implementation details. These properties are categorized as read-write, read-only, or write-only. It is common for the get and set accessor to be used together in programming.

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Olympics medals have a diameter of 60 mm and the thickness of 3 mm gold has a density of 19g/cm^3 work out the volume of a gold medal

Answers

According to the diameter and thickness of the gold medal, the volume of the gold medal is 8478mm³.

As a gold medal is a cylinder, so the volume of a gold medal (V) = Ah

Where h is the thickness of the medal and A is the area of the medal.

So, A = πr²               Here r is the radius = diameter÷2

V = πr²h                                                   =   60÷2

   = π × 30² × 3                                        = 30

   =8478

So the volume of the gold medal is 8478mm³.

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An airplane starts from rest and accelerates at 6.99 m/s2. what is its speed at the end of a 500-m runway?

Answers

The speed of the plane at the end of the runway is 59.065 m/s.

Evaluation :

The equations of position and velocity in function of time of an object moving in a straight line together  constant acceleration are the following:

x = x₀ + v₀ · t + 1/2 · a · t²

v = v₀ + a · t

Where:

x = position of the plane at time t.

x₀ = initial position.

v₀ = initial velocity.

t = time.

a = acceleration.

v = velocity of the plane at time t.

If we place the origin of the frame of reference at the starting point, then x₀ = 0. Since the plane originate from rest, v₀ = 0. Then, the equation gets reduced to this:

x = 1/2 · a · t²

Let's find how much time it takes a plane to travel 500 m:

500 m = 1/2 · 6.99 m/s² · t²

2 · 500 m / 6.99 m/s² = t²

t = 8.45 s

Now, let's use the equation of velocity to solve the speed of the plane at t = 8.45 s (the time at which the plane is at the end of the runway):

v = v₀ + a · t    (v₀ = 0)

v = a · t

v = 6.99 m/s² · 8.45 s

v = 59.065 m/s

The speed of the plane at the end of the runway is 59.065 m/s.

What happens when electric flux is zero?

This leads us to the Gauss's Law, which says that the electrical flux going through a closed surface, is that the sum of all charges Q inside that closed surface, divided by permittivity of free space E0. If that flux is zero, meaning there is no net charge inside the shape.

What is a electric flux in closed surface?

The net flux through a closed surface is a quantitative measure of the net charge inside a closed surface. 2. the web electric flux through any closed surface surrounding a net charge 'q' is independent of the shape of the surface.

For which surface electric flux will be zero?

The flux of an electrical field through a closed surface will be always zero if and only if there is no net charge in the volume enclosed by the surface. the quantity of electric flux is always proportional to the charges inside the surface

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A 50-kg stunt diver is falling at a speed of 20 m/s. When she is stopped by sinking into a cushion, the cushion exerts an average force of 2500 n on her. Approximately how much time did it take her to stop moving once she hit the cushion?.

Answers

The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s

To solve this exercise, the formulas and procedures to be applied are:

F = m * at = (vf – vi) / a

Where:

m = massF = Forcea = accelerationt= timevf= final velocityvi = initial velocity

Information about the problem:

m = 50 kgvi = 20 m/s F=  -2500 NVf = 0 m/s1 N = kg * m/s²a= ?t =?

Applying the force formula and isolating the acceleration, we get:

F = m * a

a = F/m

a = -2500 N /50kg

a = -2500 kg * m/s² / 50 kg

a = -50 m/s²

Applying the time formula we get:

t = (vf – vi) / a

t = (0 m/s – 20 m/s) / 50 m/s²

t = (– 20 m/s) / -50 m/s²

t = 0.4 s

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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100 grams of water at 75 degrees is heated at constant pressure. the water is completely vaporized. what is the heat added?

Answers

The heat added is 348.165 kj

The enthalpy of vaporization, commonly known as the heat of vaporization or heat of evaporation, is the amount of energy required to turn a liquid material into a gas. The enthalpy of vaporization depends on the pressure at which the transition occurs.

The heat of vaporization varies with temperature, yet for small temperature ranges and decreased temperature ranges, a constant heat of vaporization can be assumed. The heat of vaporization decreases with rising temperature until it totally disappears at a point known as the crucial temperature. The liquid and vapor phases are indistinguishable beyond the critical temperature, and the material is referred to as a supercritical fluid.

Given that;

M = 150g = 0.15kg

T = 75oC

Heat capacity, h =2321.1 kj/kg

Q = m h

Q = 0.15* 2321.1

Q = 348.165 kJ

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[U03 L03-1] Which option below is the best description of velocity?

1.how long it takes for the object to move
2.the change in position divided by 3.the change in time
4.the position divided by change in time
5.how far an object has moved
the change in rate divided by the

Answers

The best description of velocity is

How far an object has moved the change in rate divided by the....

The wave speed on a string under tension is 220 m/s. what is the speed if the tension is halved?

Answers

282.84m/s is the speed if the tension is halved.  The speed of the wave is doubled since it is related to the square root of the tension.

What is speed?The speed of the wave is doubled since it is related to the square root of the tension. Tension controls the vertical force acting on string molecules perpendicular to wave motion, which controls the rate of perpendicular motion.The linear density and tension v=FT can be used to determine the wave's speed. According to the equation v = FT, the tension would need to be increased by a factor of 20 if the linear density was to grow by a factor of almost 20.

The wave depends on the following:-

WavelengthFrequencyMedium

The formula we will use is:-

[tex]$$v=\sqrt{\frac{T}{p}}$$[/tex]

According to the question, the speed of the tension is as follows

Where v Is the speed of the wave, T is the tension In the wire, and [tex]$\rho$[/tex] Is the density of the wire.

when tension is doubled.

[tex]&\mathbf{T}=\mathbf{2} \mathbf{T}_0 \\[/tex]

[tex]$v=\sqrt{\hat{a} \frac{2 T_{\hat{\theta}}}{I}}$[/tex]

[tex]$v=\sqrt{2} \frac{T \hat{a}}{I}$[/tex]

[tex]$v=\frac{2}{\text { vô }}$[/tex]

After calculating, the value of v get,

[tex]$$v=\sqrt{2} * 200$$[/tex]

The value [tex]$\mathrm{v}=282.84 \mathrm{~m} / \mathrm{s}$[/tex].

The correct question is,

The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?

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Using the kinetic molecular theory, describe what happens to molecules during the phase change from ice to liquid water.

HELP ME I'D GIVE BRAINLIEST

Answers

Answer:

When the ice melts into water, there is kinetic energy being increased to its particles, later on the particles 'break the bonds' that hold the ice together, which leads to ice turning into water.

This is my best I can answer to this question

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

Answers

The properties of Calcium are as follows:

symbol = Caatomic number = 20number of protons = 20number of electrons = 20atomic mass = 40.078 urounded atomic mass = 40 amunumber of neutrons = 20period:  period 4What are elements?

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

Elements are the building block of all forms of matter.

Calcium one of the known 118 elements.

In the period table, Calcium has the following properties:

symbol = Caatomic number = 20number of protons = 20number of electrons = 20atomic mass = 40.078 urounded atomic mass = 40 amunumber of neutrons = 20period : belongs to period 4

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

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A car slows down uniformly from 12.5 m/s to a complete stop in 2.20 seconds.a. How far did it travel before
stopping?
b. What was the acceleration of the car?

Answers

The acceleration of the car will be -5.68 m/s, and it travels 13.76 m before stopping.

What is acceleration?

Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by increasing speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.

You cannot possibly be accelerating if you don't also change your direction and speed, regardless of how swiftly you are travelling.

It is a vector quantity with m/s² as its SI unit.

According to the question, the given values are :

Initial speed, u=12.5 m/s,

Final speed, v=0 and,

Time, t=2.20 seconds.

Now by using equations of motion :

v= u+at

0=12.5 m/s+a(2.20 s)

a=-12.5/2.20

a= -5.68 m/s

Now distance traveled will be :

v²-u²= 2as

0-(12.5 m/s)²= 2(-5.68 m/s)²×s

s= -156.25/-11.36

s= 13.76 meters.

Hence, the acceleration of the car was -5.68 m/s² and it travelled 13.76 meters before stopping.

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Two identical containers at the same presure contain the same gas. if container a contains twice as much gas as container b, which container has the higher temperatrue?

Answers

By ideal gas approximation, container A has a higher temperature than container B.

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

PA = PA

nA = 2nB

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

nA / TA = nB / TB

substitute nA

2nB / TA = nB / TB

TA = 2 TB

Hence, container A has a higher temperature than container B.

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50 POINTS HELP QUICK
For each scenario below, identify the opposite reaction force. 1) A baseball bat hits a ball. 2) A bowling ball pushes up against the pins. 3) Air particles push outward against a balloon. 4) During an earthquake, tectonic plates move

Answers

A baseball bat hits a ball is typical example of opposite reaction force.

What is Newton's third law of motion?

Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.

The third law is also known as the law of action and reaction.

Examples of Newton's third law of motionA horse pulls a cart, a person walks on the ground, a hammer pushes a nail, magnets attract paper clipA baseball bat hits a ball

Thus, a baseball bat hits a ball is typical example of opposite reaction force.

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8. A coin flicked across a table will stop, because or due to of what kind of force______________.

Frictional force
Tension force
Kinetic energy​

Answers

Answer:

Frictional Force

Explanation:

Resistance is the resistance that one surface or object encounters when moving over another.

Tension could only occur on a rope or something that can be stretched tight.

Kinetic Energy would allow it to continue rolling-not stop.

A roofer tosses a hammer horizontally off a
3.35 m high roof at 8.94 m/s. How far away
from the base of the house does it land?

Answers

But the query isn't complete. The hammer traveled 4.26 meters horizontal distance

we have following the given data

Hammer speed is 4 m/s.

30° is the angle the roof makes with the horizontal.

Roof's minimum height above ground is equal to 10 m g/10 m/s2.

Find the hammer's horizontal distance traveled.

Considering the vertical y-direction to establish the Time (t)

s = ut + 1/2at²

-10 = -4×sin30×t + 1/2×10t²

10 = 2t + 5t²

5t² + 2t - 10 = 0 (i)

Resolve equation (i)

t = 1.228  sec

This formula is used to compute the horizontal distance.

4 (cos 30°) t = 4×cos 30×1.228 = 4.26 m

Horizontal distance is a general concept in projectile motion.

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Answer:

7.39

Explanation:

plug in the right numbers and solve

One strategy in a snowball fight is to throw
a snowball at a high angle over level ground.
While your opponent is watching this first
snowball, you throw a second snowball at a
low angle and time it to arrive at the same
time as the first.
Assume both snowballs are thrown with
the same initial speed 16.8 m/s. The first
snowball is thrown at an angle of 56◦
above
the horizontal. At what angle should you
throw the second snowball to make it hit the
same point as the first?

Answers

The angle to make should be 68 degree.

What is a projectile motion?

A projectile is any object thrown into space upon which the only acting force is gravity.

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration directed towards the center of the earth. The path such a particle takes is called projectile and the motion is called projectile motion.

From the equation we have initial velocity as 16.8 m/s

angle= 56 degrees

R1= V² sin2∅1/g

R2= V² sin2∅2/g

R1=R2

V² sin2∅1/g= V² sin2∅2/g

sin2∅1/g= sin2∅2/g

∅2= sin2∅2

∅2= sin(2* 56)

∅2= 68 degrees

When a particle is projected in the air with some speed the only force acting on it during its time in the air is the acceleration due to gravity (g).

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A thin 2.00-m string of mass 50.0 g is fixed at both ends and under a tension of 70.0 n. if it is set into small-amplitude oscillation, what is the frequency of the first harmonic mode?

Answers

The frequency of the first harmonic mode in string is 13.2Hz.

As, we know

[tex]v = \sqrt{\frac{T}{u} }[/tex]

where, v = velocity

T = tension in string

[tex]v = \sqrt{\frac{70(2)}{0.050}[/tex]

v = 52.9m/s

Also,

f = v / λ

where, f = frequency

v = velocity

λ = amplitude

f = 52.9 / 4

f = 13.2Hz

Therefore,  frequency of the first harmonic mode in string is 13.2Hz.

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a small nail may Pierce an inflated car tyre and remain there without pressure reduction in the tyre ..explain the observation ​

Answers

The rubber is stretched and firmly gripped by the nail due to the pressure inside the tire, which prevents air leakage.

What is the pressure ?

The force of all gas particle/wall collisions divided by the surface area of the wall is the definition of pressure (P): One of the fundamental measurable quantities of this phase of matter, pressure is a property shared by all gases. The amount of force applied to a given area is referred to as pressure.

For instance, the weight of the snow divided by the area of the roof would represent the pressure from snow on a roof. Gases are typically where pressure in chemistry comes from. Gas is added to a balloon before it is inflated. Gas molecules collide with one another and the balloon's walls.

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A mercury-used clinical thermometer has a kink near its bulb

Answers

Answer:

A mercury-used clinical thermometer has a kink near its bulb because

Explanation:

it helps to slow mercury going back to the bulb and get the accurate temperature.

I need help ASAP
You need to match each thing to it’s place I’m not sure

Answers

The complete table representing the energy description at different stages is

Least Potential Energy                                  [2]

Most Potential Energy                                    [1]

Potential Energy to Kinetic energy               [4]

Kinetic energy to Potential Energy              [3]

What is Potential Energy and Kinetic Energy?

Potential energy of a body that is due to its position. To be more precise, the potential energy of a body of mass 'm' at height 'h' will be -

P[E] = mgh

Kinetic Energy of a body is the energy due to virtue of its motion. Mathematically -

K[E] = 1/2 mv²

Given is a image of a roller coaster ride and a table describing the energy magnitude theoretically.

As mentioned, Potential energy of a body that is due to its position and is given by - P[E] = mgh. Let's complete the energy table given -

1 → Location with least potential energy

From the formula -

P[E] = mgh

mg = constant

P[E] [tex]\alpha[/tex] h

Now, the point 2 represents the minimum height, therefore Point 2 is the location with least potential energy.

2 → Location with most potential energy

We know -

P[E] [tex]\alpha[/tex] h

The point with maximum height is 1, therefore it will represented by Point 1.

3 → Conversion of potential to kinetic energy

Assume that the velocity of the roller coaster is v. Now at point 1, the velocity will be zero. Therefore, the total energy of the roller coaster will be purely potential energy. When it starts to move from point 1 to point 4, its height will decrease and its velocity will increase. Therefore - at this stage (point 4), the potential energy will start to convert into kinetic energy.

4 → Conversion of kinetic to potential energy

Use the same concept discussed in part - 3. In this case it is moving from lower point to higher point. So, height will increase and velocity will decrease. Therefore, the point 3 represents the stage at which kinetic energy will start to convert into potential energy.

Therefore, the complete table representing the energy description at different stages is

Least Potential Energy                                  [2]

Most Potential Energy                                    [1]

Potential Energy to Kinetic energy               [4]

Kinetic energy to Potential Energy              [3]

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Which positions made up early Roman government? Select four options.

Answers

Roman government comprised Members of the military, consuls, magistrates, and senate.

The two consuls, who had taken the king's place, were principally generals tasked with commanding Rome's legions in battle. Rome selected a dictator in lieu of the consuls in times of military necessity, when the unity of command was occasionally required. The dictator, however, could not wield supreme military command for more than six months at a period.

The Senate, which may have existed during the monarchy and acted as the king's advisory council, now provided advice to both magistrates and the Roman populace. Although the Senate simply provided advice and the people were the sole source of authority in theory, in reality, the Senate had tremendous power due to the status enjoyed by all of its members.

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Calculate the acceleration of a galloping horse going from 2 m/s to 12 m/s in 2 seconds.


A) 5 m/s/s


B) -5 m/s/s


C) 0. 2 m/s/s

Answers

The horse has an acceleration in 2 seconds of: A) 5 m/s/s

The formula and procedure we will use to solve this exercise is:

a = (vf - vi) /t

Where:

a = accelerationvf = final velocityvi = initial velocityt = time

Information about the problem:

vi= 2 m/svf = 12 m/st = 2 sa=?

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (12 m/s - 2 m/s) /2 s

a = (10 m/s) /2 s

a = 5 m/s²

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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If is an oriented surface with boundary , and if is a vector field on , can you compute by using stokes' theorem to replace it with the line integral of some other vector field along ?

Answers

Yes, we can compute by using stokes' theorem always.

By merely knowing information on the values of F along the border of S, Stokes' theorem states that we can compute the flux of curl F across surface S. On the other hand, by converting to a double integral of the curl of F over S, we may get the line integral of vector field F along the edge of surface S.

Let S be an N-unit normalized smooth surface that is orientated. Additionally, let's assume that S has a simple closed curve C as its border. If the surface is constantly on your left while you walk in the positive direction around C while directing your head in the direction of N, then the orientation of S induces the positive orientation of C. In light of this concept, we can say Stokes' theorem as,

[tex]\int\limits^0_c {F.} \, dr = \int\limits^0_s {F.} \, ds[/tex]

We can see the reference image here:

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In what kind of pot will a given volume of water boilat a higher temperature: a tall and narrow one or a short andwide one? explain.

Answers

The water in both pots will boil at the same temperature as long as the pressure is consistent. Both pots' water will reach boiling point at the same temperature.

what is boiling point?

The point at which the pressure that a liquid is subjected to from its environment equals the pressure that the liquid's vapor is subjected to; in this situation, the addition of heat causes the liquid to turn into its vapor without rising the temperature.

A liquid partially vaporizes through into space above it with any temperature up until the vapor pressure of the fluid at that temperature, which is a characteristic value. The vapor pressure rises as the temperature rises, and when the liquid reaches the boiling point, vapor bubbles develop inside the liquid and rise to the surface. A liquid's boiling point changes depending on the pressure being applied; the constant boiling refers to the temperature where the vapor pressure of the liquid is equal to the average atmospheric pressure at sea level (760 mm [29.92 inches] of mercury). Water boils at sea level at 100° C (212° F). Lower boiling point temperatures are seen at greater elevations.

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Carbon emits photons at 745 nm when exposed to blackbody radiation. How much energy would be obtained if 44g of carbon were irradiated? Assume each carbon atom emits one photon.

Answers

The energy obtained when 44 g of carbon is irradiated is 5.89 × [tex]10^{5}[/tex] J if each carbon atom emits one photon.

E = h ν = h c / λ

n = m / Mol * Avogadro's constant

E = Energy

h = Planck's constant

c = Speed of light

λ = Wavelength

n = Number of atoms

m = Mass

mol = Molar mass

h = 6.626 * [tex]10^{-34}[/tex] J s

λ = 745 nm = 7.45 * [tex]10^{-7}[/tex] m

c = 3 * [tex]10^{8}[/tex] m / s

m = 44 g C

mol = 12.01 g C

Avogadro's constant = 6.022 * [tex]10^{23}[/tex]

Energy emitted per photon, [tex]E_{1}[/tex] = ( 6.626 * [tex]10^{-34}[/tex] * 3 * [tex]10^{8}[/tex] ) / 7.45 * [tex]10^{-7}[/tex]

[tex]E_{1}[/tex] = 2.67 × [tex]10^{-19}[/tex] J

Total energy emitted, E = [tex]E_{1}[/tex] * n

E = ( 2.67 × [tex]10^{-19}[/tex] * 44 * 6.022 * [tex]10^{23}[/tex] ) / 12.01

E = 5.89 × [tex]10^{5}[/tex] J

Therefore, the energy obtained when 44 g of carbon is irradiated is 5.89 × [tex]10^{5}[/tex] J

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