The frequency is given by f = (1/(2))k/m.
While moving in the opposite direction, the acceleration, a = -2x, is proportional to the displacement. Motion that is accelerated is simple harmonic motion. If an item moves in a simple harmonic manner, a force must be exerted on it. F = ma = -m2x is the formula for force.
A basic definition of amplitude, what is it?The greatest displacement or distance that a point on a wave or vibrating body may travel in relation to its equilibrium position It is equivalent to the length of the vibration path divided in half.
What exactly is a wave's amplitude?The height of a wave's crest or trough measured from the center line (or the stationary position) is known as the amplitude ().
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a certain amount of nobr(g) is sealed in a flask, and the temperature is raised to 350 k. the following equilibrium is established: nobr(g) uv no(g) 1 12 br2(g) the total pressure in the flask when equilibrium is reached at this temperature is 0.675 atm, and the vapor density is
The partial pressures of each species of the equilibrium are
NOBr = 0.39 atmNO = 0.19 atmVapour density = 2.219 g / L
Temperature = 350 K
Total pressure = 0.675 atm
Since volume of flask is constant and the mass is conserved,
Initial mass of NOBr = 2.219 g
1 mol NOBr = 109.92 g
Number of moles of NOBr = 2.219 / 109.92 = 0.02019 mol
Total number of moles at equilibrium is,
[tex]n_{total}[/tex] = ( 0.02019 - x ) + x + 0.5 x
[tex]n_{total}[/tex] = 0.02019 + 0.5 x
Acording to ideal gas equation.
[tex]n_{total}[/tex] = P V / R T
[tex]n_{total}[/tex] = ( 0.675 * 1 ) / ( 0.08206 * 350 )
[tex]n_{total}[/tex] = 0.00662
Partial pressure of NOBr,
P = ( 0.02019 - x ) * 0.675 / ( 0.02019 + 0.5 x )
P = 0.39 atm
Partial pressure of NO,
P = x * 0.675 / ( 0.02019 + 0.5 x )
P = 0.19 atm
Partial pressure of Br₂,
P = 0.5 x * 0.675 / ( 0.02019 + 0.5 x )
P = 0.095 atm
Therefore, the partial pressures of
NOBr = 0.39 atmNO = 0.19 atmBr₂ = 0.095 atmThe given question is incomplete. The complete question is:
A certain amount of NOBr(g) is sealed in a flask, and the temperature is raised to 350 K. The following equilibrium is established:
NOBr(g) ↔ NO(g) + ½ Br2(g)
NOBr(g)↔NO(g)+½Br2(g)
The total pressure in the flask when equilibrium is reached at this temperature is 0.675 atm, and the vapor density is 2.219 g L^-1. Calculate the partial pressure of each species.
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A long, hollow wire has inner radius R1 and outer radius R2. The wire carries current I uniformly distributed across the area of the wire.
a) Use Ampere's law to find an expression for the magnetic field strength in the region 0
Express your answer in terms of the variables R1, R2, r, I, and appropriate constants.
b) Use Ampere's law to find an expression for the magnetic field strength in the region R1
Express your answer in terms of the variables R1, R2, r, I, and appropriate constants.
c) Use Ampere's law to find an expression for the magnetic field strength in the region R2
Express your answer in terms of the variables R1, R2, r, I, and appropriate constants.
Just info given, no diagrams.
Obviously, the answer to A is 0, since no magnetic field exists in the center of the hollow wire, but I don't have a clue on where to begin for the equations to B and C.
Option a Use Ampere's law to find an expression for the magnetic field strength in the region 0 Express your answer in terms of the variables R1, R2, r, I, and appropriate constants. 0<r<R1
The magnetic field in the region R2 < r is calculated by using the Ampere’s law, the current flowing the region R2 < r is equal to the current enclosed by the loop.Use the current density expression to calculate the total current enclosed by the loop.Use the Ampere’s law to find the expression for the strength of magnetic field in the different region of the loop.
the expression for current density.
J=I/A
the expression for the Ampere's law
∫Bdl=μ₀I
An electric current's ability to produce a magnetic field is inversely proportional to the size of the electric current, with the constant of proportionality being equal to the permeability of free space. We can connect electricity and magnetism thanks to Ampere's Law, which gives us a mathematical relationship between magnetic fields and electric currents.
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An ice cube i melting but doe not change in temperature. Complete the gap to tate the name given to the energy that i needed to melt the ice cube: latent __________. (Hint: your anwer hould be three word. )
The gap to tate the name given to the energy that i needed to melt the ice cube: latent heat of fusion.
The temperature stays consistent at some stage in ice melting due to the fact the warmth furnished to ice is used for the transition of country instead of growing the ice temperature.Temperature stays consistent whilst the melting factor is reached. This is due to the fact, the warmth supplied is used to alternate the country from stable to liquid and thus, the temperature stays consistent.
Latent warmth of fusion of ice is 33600 JKg - 1 .Energy is needed to soften a stable due to the fact the cohesive bonds among the molecules withinside the stable ought to be damaged aside such that, withinside the liquid, the molecules can flow round at similar kinetic energies; thus, there's no upward thrust in temperature.
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The registered nurse (RN) is orienting a new RN assigned to the care of a client with a cardiac disorder and is told that the client has an alteration in cardiac output. After educating the new RN about cardiac output, which statement made by the new RN indicates the need for further instruction?
1. "A cardiac output of 2 L/min is normal."
2. "A cardiac output of 4 L/min is normal."
3. "A cardiac output of 6 L/min is normal."
4. "A cardiac output of 7 L/min is normal."
The statement made by the new registered nurse indicates the need for further instruction is : A cardiac output of 2 L/min is normal
What is a cardiac output?Heart rate (HR) and stroke volume (SV) are combined to form cardiac output, which is expressed in liters per minute. The most typical definition of HR is the number of heartbeats per minute. SV is the amount of blood that is ejected from the heart with each heartbeat or during ventricular contraction.
However, our heart typically beats 70 times per minute. In order to calculate cardiac output, which is the total amount of blood the left ventricle expels in a minute, we must multiply the stroke volume by the heart rate, or the number of beats per minute.
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During the formation of the Solar System, smaller particles in the solar nebula combined to form planetesimals, some of which provided the building blocks for planets. The majority of planetesimals did not become planets, however, and some of them remain in the Solar System today as debris left over from the time of planet formation. Asteroids are a special class of planetesimals that orbit around the Sun. Study the distribution of known asteroids shown in this figure, and choose all of the statements below that match your observations. Choose one or more: A. All of the asteroids exist in a region between Jupiter and Mars B. Some asteroids cross Earth's orbit as they orbit around the Sun C. The majority of asteroids exist in a region between Jupiter and MarsD. Asteroids have been discovered as tar out as PlutoE. There are dumps of asteroids that existat particular spots in Jupiter's orbit IF The majority of asteroldsedstinside of Mars orbit EG Asteroids are randomly distributed throughout the Solar System
Some meteorites cross Solar system as they revolve around the Sun, while others form clusters at certain locations in Jupiter's orbit. The bulk of asteroids are located in the space between Jupiter the Mars.
Where are the asteroids?Half way between Venus and Mars' orbits, the Solar System's asteroid belt seems to be a torus-shaped zone. It comprises a large number of asteroids or minor planets, which are rocky bodies with variable shapes and sizes that are significantly smaller than planets.
What factors lead to asteroids?Asteroids are remains of the solar system's creation, which occurred around billion years ago. Early on, Jupiter's creation prevented additional planetary bodies from growing in the space between Asteroid belts, leading the small particles that did exist to collide with one another and disintegrate into the asteroids we know today.
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which of the following is associated with an object in motion? which of the following is associated with an object in motion? potential energy elastic potential energy kinetic energy nonmechanical energy
The energy associated with an object in motion among potential energy, elastic potential energy, kinetic energy and non-mechanical energy is kinetic energy.
Kinetic energy is the property of a moving object. It depends on both mass and velocity of the moving object. It is given by the formula,
Kinetic energy (K.E) = 1/2*m*v²
where, m is the mass
v is the velocity
Potential energy is the type of energy possessed by the virtue of its position. It is possessed by the bodies at rest.
Elastic potential energy is the energy stored in the body due to an applying force to deform an elastic object.
Non-mechanical energy is the kind of energy present at the level of atoms and does not affect the motion of a body.
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The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0. 10. The mass of the object is 8. 0 kg. What is the force of friction?.
The force of friction is 78.4 N
What is force of friction?
Frictional force is the force created when two surfaces come into contact and slide against each other. it is given by the equation:
[tex]F_{f} =[/tex] μ * [tex]F_{n}[/tex]
where,
[tex]F_{f}[/tex] = force of friction
μ = coefficient of friction
[tex]F_{n}[/tex] = normal force
Given,
μ [tex]= 0.10, m = 8.0 kg[/tex]
We know,
[tex]F_{n} = mg[/tex]
[tex]F_{n} = 8.0 * 9.8\\\\ F_{n} = 78.4 N[/tex]
Subsituing the values in equation:
[tex]F_{f} =[/tex] μ * [tex]F_{n}[/tex]
[tex]F_{f} = 0.10 * 78.4 \\\\F_{f} = 7.84 N[/tex]
The force of friction is 78.4 N.
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A woman with mass 50 kg is standing on the rim of a large horizontal disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 3.8 m.
The disk has mass 110 kg and radius 3.8 m is he value of the full angular momentum of the woman-disk machine is 9,759.7 kgm²/s.
The given parameters;
Mass of the woman, M = 50kg angular pace of the disk, w = 0.8rev/s
Mass of the disk, radius, r = 4.3m m = 110kg
The value of the full angular momentum of the woman-disk machine is calculated as follows;
I t =I disk omega+I woman
I t =(I disk +I woman )
[tex]I t =( 1/2 x m x r ^ 2 + M x r ^ 2I \\t = (1/2 x 110 x 4.3 ^ 2 + 50 x 4.3 ^ 2) *[/tex]
[tex]I t = (1941.45kg x m ^ 2) x 5.0%I t =9, 759.7kg x m ^ 2[/tex]/
Thus, the value of the full angular momentum of the woman- disk machine is 9,759.7 kgm²/s
[tex]t = 9.759 * 0.7ka m ^ 2.[/tex]
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Water -Block A block is submerged in a container of water and remains at rest with the only forces exerted on it being gravity and forces exerted by the water. The force exerted by the water on the bottom of the block is greater than the force exerted by the water on the top of the block. Which of the following is an explanation of the microscopic cause of the difference in the forces? The block exerts a downward force on the water equal to the block's weight. The net force exerted by the water on the block is equal in magnitude and opposite in direction to the force the block exerts on the water, as required by Newton's third law. The molecules of water hitting the bottom of the block have a greater average speed than those hitting the top of the block, and thus they exert a greater force. ni The contact force between the water and the bottom of the block is fundamentally due to interatomic electric forces.
It is the contact force between the water and the bottom of the block is fundamentally due to interatomic electric forces.
A force is basically the interactions between bodies, these interactions creates binding energy between two surfaces that can be formed and broken too, the friction force is the macroscopic sum of all these microscopic interactions between two different surfaces. The magnitude of the friction force is dependent on the type of surface, if we talk about rough surface, the interaction area is high, therefore the frictional force will be high, whereas on smooth surfaces the interaction area is small, therefore the force is small.
Hence, the force exerted by the water on the bottom of the block is greater than the force exerted by the water on the top of the block as the contact force between the water and the bottom of the block is fundamentally due to interatomic electric forces.
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What minimum horizontal force F will jut prevent the 5. 0 kg block from liding if the coefficient of friction between the wall and the block i 0. 65?
The coefficient of friction between the wall and the block is 125N.
What is coefficient friction?
A measure of how much friction there is between two surfaces is called a coefficient of friction. The resistance to motion at the intersection of two surfaces made of similar or different materials is what you are calculating when you find the coefficient of friction.
What is horizontal force?
The term "horizontal force" refers to a force applied in a direction perpendicular to the horizon. Two components—a horizontal component and a vertical component—make up the force applied to a body.
Mass of block ( m ) = 5 Kg
Coefficient of friction ( μ ) = 0.4
Acceleration due to gravity (g) = 10 m/s²
To Find :- Minimum horizontal force ( F )
According to diagram , Block is balanced by equal and opposite forces
F= N
f=mg
We know , f max = μN
mg=μF
F= mg/u
F= 5*10*10/4
=125N
Therefore, the coefficient of friction between the wall and the block is 125N.
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A person is swimming 1.3 m beneath the surface of the water in a swimming pool. A child, standing on the diving board, drops a ball into the pool, directly above the swimmer. The swimmer sees the ball dropped from a height of 4.1 m above the water. From what height was the ball actually dropped? Express your answer in meters.
The ball was actually dropped from a height of 5.453 meters.
What is refractive index?It is the ratio of the speed of light in a vacuum to that in a second medium with a higher density. The symbol n or μ is more frequently used to represent the refractive index variable.
Given in the question,
The apparent depth ([tex]v[/tex]) = 4.1 m
The depth of the person = 1.3 m
Actual depth ([tex]u[/tex]) = ?
We know,
Refractive index of air ([tex]n_{w}[/tex]) = 1
Refractive index of water ([tex]n_{a}[/tex]) = 1.33
We also know,
[tex]\frac{u}{v} =[/tex] [tex]\frac{n_{w} }{n_{a} }[/tex]
or, [tex]u=v\frac{n_{w} }{n_{a} }[/tex]
Substituting the values in the above equation we get,
[tex]u[/tex] = 4.1×1.33
Hence, [tex]u[/tex] = 5.453 m
So, the actual depth is 5.453 meters.
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in the picture above you step barefoot onto hot sand. the sensory nerves on the bottom of your feet send a signal to your brain at 113.5 m/s. if the nerve signal path length is 1.3 m long, how long does it take for the signal to reach your brain in seconds?
The total time taken by the signal to reach the brain is 0.011 seconds.
What is Speed ?Speed (S) is a concept of motion that determines how fast or slow an object is moving from one point to another.
What is Distance ?Distance (D) can be defined as the amount of space that exists between any two points.
Time (t) is the progression of events.
There is a direct relationship between the three basic variables of speed, distance and time. It is given by :
Speed = Distance/Time
i.e. S = D/t
Given, distance(D) of the nerve signal path length is 1.3 m and speed(S) of the signal from bottom of feet is 113.5 m/s.
Using the above equation, we get
S=D/t
⇒t=d/S
⇒t=1.3/113.5
⇒t=0.011 sec
So the total time taken by the signal to reach the brain is 0.011 seconds.
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How much current is drawn from a circuit that has a resistor of 1000 ohms if powered by a battery with 1. 5 volts *?.
The current drawn from the circuit is 0.0015 Ampere.
Solution:
v = 1.5 V
r = 1000 ohm
Using formula:
i = v/r
= 1.5 / 1000
= 0.0015 A
A resistor is an electrical component that limits or regulates the flow of current in an electronic circuit. Resistors can also be used to supply specific voltages to active devices such as transistors. The resistor slows down the flow of electrons so the current doesn't move too fast and damages things like batteries on a breadboard.
The second reason to use resistors is to slow the flow of current through the component. A passive electrical device with two terminals is used to limit or regulate the flow of current in an electrical circuit. The main purpose of resistors is to reduce current flow and reduce the voltage in certain parts of the circuit.
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A binary star system is made of stars, one of which is brighter than the other. Astronomers are able to detect the dimmer star because its\
A binary star system is made of stars, one of which is brighter than the other. An astronomers are able to detect the dimmer star because its gravity causes the bright star to wobble.
What is a binary star system?Basically, a star means giant astronomical or celestial object that contains a luminous sphere of plasma and bounded together by its own gravitational force. A binary star system refers to a star system that typically comprises two stars that includes a brighter star and dimmer star.
The dimmer star are easily detectable by astronomers because its gravity causes the bright star to wobble and can be spotted by astronomers through an observation of a phenomenon that is referred to as an eclipsing binary.
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a star has a radial velocity of 30 km/s and a transverse velocity of 40 km/s. what is its total velocity relative to earth?
The total velocity of the star relative to Earth is 50 km/s.
What is the total velocity relative to earth?The total velocity relative to earth is calculated by determining the resultant velocity of the star as shown below.
V² = Vr² + Vt²
V = √(Vr² + Vt²)
where;
V is the total velocity of the star relative to earthVr is radial velocity of the starVt is the transverse velocity of the starV = √(Vr² + Vt²)
V = √(30² + 40²)
V = 50 km/s
Thus, the total velocity of the star relative to Earth is a function of the relative velocity of the star.
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Assuming that the satellites do not affect each other, find the orbital periods t1 and t2 of the two small satellites without using the mass of pluto.
The orbital periods of the two small satellites are [tex]T_{sat1} = 24.5 days[/tex] and [tex]T_{sat2} = 37.7 days[/tex].
What is orbital periods?An orbital period is the time it takes for a given astronomical object to orbit another object. In astronomy, it usually applies to planets or asteroids orbiting the sun, moons orbiting planets, exoplanets orbiting other stars, or binary stars. Changes in the orbital period can be explained by the evolution of the mass asymmetry to symmetry (symmetry of the binary system). Decreasing and increasing orbital periods are predicted to be related to the non-overlap and overlap of the binary in its symmetrisation respectively. Orbital decay is the gradual decrease in the distance between two orbiting bodies at their point of closest approach over several orbital periods. These orbiting bodies can be a planet and its satellite, a star and any object orbiting it, or parts of some binary system.Therefore,
distance of first satellite = 48,000 Km
distance of second satellite = 64,000 Km
orbital period = 6.39 day
Using equation of time period
[tex]T =\frac{ 2\pi r^{3^{/2} } \\}{\sqrt{GM_{pluto} } }[/tex]
now, from the above equation we can say that only variable is Time period and r is the radii of orbit.
from the first satellite
[tex]\frac{T _{charon} }{r^{\frac{3}{2}_{charon} } }[/tex][tex]= \frac{Tsat_{1} }{r^{\frac{3}{2}_{sat1} } }[/tex]
[tex]T_{sat1} = \frac{T_{charon}r^{\frac{3}{2} } }{r^{\frac{3}{2} _{charon} } }[/tex]
[tex]T_{sat1} = \frac{6.39\times48000^{\frac{3}{2} } }{19600^{\frac{3}{2} } }[/tex]
[tex]T_{sat1} = 24.5 days[/tex]
for 2nd satellite,
[tex]T_{sat2} = \frac{T_{charon}r^{\frac{3}{2} } }{r^{\frac{3}{2} _{charon} } }[/tex]
[tex]T_{sat2} = \frac{6.39\times64000^{\frac{3}{2} } }{19600^{\frac{3}{2} } }[/tex]
[tex]T_{sat2} = 37.7 days[/tex]
The complete question is In March 2006, two small satellites were discovered orbiting Pluto, one at a distance of 48,000 km and the other at 64,000 km. Pluto already was known to have a large satellite Charon, orbiting at 19,600 km with an orbital period of 6.39 days. Assuming that the satellites do not affect each other, find the orbital periods of the two small satellites without using the mass of Pluto.
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conditional formatting to apply a yellow fill color to the cells that represent the highest quarterly sales amount in each of the four quarters.
Values in cells given above the max one are highlighted. Point to Highlight Cells Rules or Top/Bottom Rules and then click the suitable option.
In the New Formatting Rule dialog box select Format top or bottom values only. Select Above or Below from the drop-down list and enter the number of values to highlight in the adjacent field. A data bar is a horizontal bar added to each cell, similar to a bar chart.
The color scale changes the color of each cell based on its value. Each color scale uses a two- or three-color gradient. Conditional Formatting is a tool that allows you to apply formatting to a cell or range of cells and change that formatting depending on the value of the cell or the value of a formula. For example, you can make a cell bold only if the cell value is greater than 100.
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when walking with a knife, hold it by the handle with the tip pointing down and the sharp edge behind you. a. true b. false
When walking with a knife, hold it by the handle with the tip pointing down and the sharp edge behind you. a. true.
How should you handle a knife when moving?There are frequently people rushing about everywhere if you're carrying a knife in the kitchen, especially in a busy commercial kitchen. You have to get used to the idea that the only way to walk with a knife in your hand is to hold it with the blade facing your leg and pointing straight down. Maintain a stiff arm.
What is the name of the safest knife grip?The way you hold a knife is the same regardless of the type you are using. The safest, most effective, and most efficient way to use a knife is with a "pinch grip."
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How are solar cells and battery similar in function?.
The cells in a solar panel are designed to generate electricity.
A solar cell is a device that is added to a photovoltaic system to store the excess electricity generated by the solar panel. This stored energy can be used to power your home at night, on cloudy days, during power outages, or when your solar panels aren't producing enough power.
When the electricity produced by the solar panel is not used immediately the battery converts the direct current to alternating current and stores it for later use. Basically, the solar panel charges the battery when you don't need to use the energy produced. Unlike batteries and fuel cells solar cells do not use chemical reactions to produce electricity do not require fuel and generators have no moving parts.
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the following expressions are for kinetic energy (k), spring potential energy (usp), and gravitational potential energy (ug): k
The kinetic energy of an object is equal to 1/2mv^2, where m is the mass of the object and v is the velocity of the object.
The spring potential energy of an object is equal to 1/2kx^2, where k is the spring constant and x is the displacement of the object from the equilibrium position. The gravitational potential energy of an object is equal to mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.
The Three Types of EnergyThere are three types of energy that are important in physics: kinetic energy, spring potential energy, and gravitational potential energy. Kinetic energy is the energy of motion, spring potential energy is the energy stored in a spring, and gravitational potential energy is the energy associated with gravity.
Kinetic energy is important because it is the energy that objects have when they are in motion. The kinetic energy of an object is equal to 1/2mv^2, where m is the mass of the object and v is the velocity of the object. This means that the kinetic energy of an object increases as the mass of the object increases or as the velocity of the object increases.
Spring potential energy is important because it is the energy that is stored in a spring. The spring potential energy of an object is equal to 1/2kx^2, where k is the spring constant and x is the displacement of the object from the equilibrium position. This means that the spring potential energy of an object increases as the spring constant increases or as the displacement of the object from the equilibrium position increases.
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to increase the range of the water, isabella places her thumb on the hose hole and partially covers it. assuming that the flow remains steady, what fraction f of the cross-sectional area of the hose hole does she have to cover to be able to spray her friend?
The fraction is f = 84.196 % which is equivalent to 84%
We know that the value of acceleration due to gravity is
g = 9.8m/s^2
y₀ = 1 m
x = 10 m
and the time taken is not given
thus time taken = t sec
A₀ = π 1.5²
Thus the equation becomes;
y = y₀ + ut + 1/2 gt²
⇒ 0 = y₀ - 1/2 gt²
⇒ t = [tex]\sqrt{\frac{2y.}{g} }[/tex]
After substituting the values we get
⇒ t = 0.45152 seconds
Thus x = x₀ + vt
10 = 0 + 0.45152 v
On further solving we get
v = 22.14741 m/s
From continuity equation we get
Av = A₀v₀
On substituting the values we get
⇒ A = 1.11706 cm^2
Thus the fraction is given by
f = ( A₀ - A ) / A₀ X 100 %
After substituting the values we get
f = 84.196 % which is equivalent to 84%
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A truck travels to and from a stone quarry that is located 2. 5 km to the east. What is its distance? what is its displacement?.
The distance and displacement of a truck travels to and from a stone quarry that is located 2.5 km to the east is 5 km and 0 respectively.
Distance is the total amount of distance covered throughout the entire motion. It is a scalar quantity. So direction does not matter.
d = 2.5 + 2.5
d = 5 km
Displacement is the distance between initial and final position of an object. It is a vector quantity.
s = 0
Because the truck's initial and final position are same which is the point from where it started.
Therefore,
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the current in a solenoid is decreased to one-half of its original value. which one of the following statements is true concerning the self-inductance of the solenoid?
The correct statement is : The self inductance does not change.
What is a solenoid ?A solenoid is a coil of wire that is typically cylindrical in shape and serves as a magnet when a current flows to draw a moving core into the coil. They are employed particularly as switches or controls for mechanical devices (such as a valve).
The strength of the magnetic field generated by the solenoid depends on the number of windings. The square of the number of coil turns will determine its inductance. A stronger electromagnetic field results from adding more field lines and more coils.
The coil's length ought to be greater than its diameter. The magnetic field that surrounds a solenoid that conducts current. These appear to be comparable to a bar magnet.
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a yo-yo is made of two uniform disks, each of mass m and radius r, which are glued to a smaller central axle of negligible mass and radius 0.5r (see figure). a string is wrapped tightly around the axle. the yo-yo is then released from rest and allowed to drop downwards, as the string unwinds without slipping from the central axle.
The axle is tightly cinched with a string. The yo-yo is then allowed to sink downward after being removed from rest.
What is uniform?
This kind of motion is described as the movement of an object that travels in a straight line and maintains a constant speed along that path while traversing equal distances in equal amounts of time, regardless of the length of the time.
Moment of inertia is calculated using the formula 1 on top of 2 m r square + 1 on top of 2 m r square. We can calculate moment of inertia from this. M is that. We must determine the equation for speed in part b since I is now equal to m r square in order to determine the expression for speed when the energy conservation law applies. It will yield 2 mg. H equals 1 multiplied by 22 mv square plus 1. I omega square after number 2. The answer to the equation is 2 m g h = m v square + 1 on 2.
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a particle moves in a straight line, parallel to the x axis, from xi to xf. it is acted upon by a force that is also parallel to the x axis and is giv
Migration of the electron between xi = L towards xf = 3L based on the supplied statement.
What does force signify in science?In science, the term "force" has a particular definition. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. There is no such thing as a charge that an instrument "seems to have in it" or "contains." The idea of a force encompasses both living and non-living things.
What causes the balancing force?One definition of equilibrium is a state of equilibrium forces. Because when forces are in equilibrium, there is no direction change. The sum of balanced forces is always equal to zero.
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How are genotypes and phenotypes related 1 point?.
Despite being two distinct ideas, phenotype and genotype are tightly intertwined. The term "phenotype" describes the physical characteristics of an organism that result from the expression of a person's genes.
The phenotype of an individual is determined by genotype. While an organism's genotype refers to its genetic makeup, its phenotype describes how it looks on the outside. The visible manifestation of a person's genes is their phenotype. Therefore, even an organism belonging to the same species may vary due to a slight variation in their genotype. The primary distinction between the two is this.
Their genotype could be used to decipher the human genetic code. It chooses which features or qualities to display. Even organisms with the same genotype might have different appearances. Periodically, both behavior and appearance change. In contrast, even identical-looking species do not share the same genotype.
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a small block is attached to an ideal spring and is moving in shm on a horizontal, frictionless surface. the amplitude of the motion is 0.210 m and the period is 3.08 s.
On a perpendicular, frictionless surface, moving in shm is equal to a = 0.563 m/s2, and v = 0.225 m/s.
EE₀ = EE + KE, ½ kA² = ½ kx² + ½ mv², ω²A² = ω²x² + v², v = (1.88 rad/s) √((0.200 m)² − (0.160 m)²)= 0.225m/s.
What is the definition of an amplitude simple?In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating object or wave can move relative to its equilibrium location. It is equivalent to the vibration path's half-length.
What is the purpose of amplitude?Amplitude is a platform for product analytics that enables companies to track customers using group analytics. The platform employs behavioral reports to analyze how people interact with items and offers real-time tips to speed up work.
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At a time t = 2.60 s , a point on the rim of a wheel with a radius of 0.240 m has a tangential speed of 54.0 m/s as the wheel slows down with a tangential acceleration of constant magnitude 10.2 m/s2 .\ Part ACalculate the wheel's constant angular acceleration.Part BCalculate the angular velocity at t = 3.40s .Part CCalculate the angular velocity at t=0.Part DThrough what angle did the wheel turn between t=0 and t = 3.40s ?Part EPrior to the wheel coming to rest, at what time will the radial acceleration at a point on the rim equal g = 9.81m/s2 ?
A) Constant angular acceleration of wheel, α= 42.5 rad/s² B)ω= 191 rad/sec C)ω= 335.5 rad/sec D)Ф = 895.05 rad E)t = 6.09 sec
What is angular acceleration?Angular acceleration is a quantitative expression of the change in angular velocity of spinning object per unit time.
A)Given a= 10.2 m/s^2 and radius= 0.240m
α= a / r
= 10.2/0.240
α= 42.5 rad/s²
The constant angular acceleration of the wheel is 42.5 rad/s².
B)The tangential speed v is
v = vt + a ( t -t0)
= 54 + (-10.2)(3.40 - 2.60)
= 54- 8.16
v= 45.84 m/s
angular velocity is
ω= v / r
= 45.84/0.240
ω= 191 rad/sec
C) Angular Velocity at t=0:
tangential speed v is
v = vt + a ( t -t0)
= 54 + (-10.2)(0 - 2.60)
= 80.52 m/s
angular velocity is given as,
ω= v / r
= 80.52/0.240
ω= 335.5 rad/sec
D)Angle at wheel turned is calculated by the formula :
Ф = ωΔt + 1/2 *α (Δ t)²
Δt = 3.4 - 0= 3.40
Ф= (191 * 3.4) +1/2* 42.5 * (3.4)²
=649.4 + 245.65
Ф = 895.05 rad
E)Radial acceleration is equal to the acceleration due to gravity and can be written as,
α1= ω2 r
ω2 = √g/r
= √9.8/0.240
= 6.39 rad/sec
time taken by the wheel to reach from ω to ω2 is calculated as
ω2 = ω+αt
t= (ω2- ω)/t
= 6.39- 335.5 / -54
= 329.11/-54
t = 6.09 sec
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The staples inside a stapler are kept in place by a spring with a relaxed length of 0. 115 m. If the spring constant is 51. 0 n/m, how much elastic potential energy is stored in the spring when its length is 0. 150 m?.
The elastic potential energy is 0.57375 J when spring constant is 51 with length of 0.150m.
Unless you take action to alter it, an object's overall energy level remains constant. You must move an object (such as by pushing it) in order to alter its energy.As the ball's velocity rises, its potential energy—which it acquires when it is raised above its resting position—transforms into kinetic energy and back again.[tex]\\U=\frac{Kl^2}{2}[/tex]
K is spring constant , l is length of spring and U is elastic potential energy.
U= 51 x 0.150 x 0.150/2
U=0.57375 J
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Two blocks are accelerated across a horizontal frictionless surfaceas shown. Frictional forces keep the two blocks from slidingrelative to each other, and the two move with the sameacceleration. If F = 1.2 N and M = 1.0 kg, whatis the horizontal component (frictional force) of the force of thelarge block on the small block?
The horizontal component is 0.72 N to the right.
How is force and friction related ?The amount of static friction is inversely proportional to the amount of normal force and the degree of roughness between the sliding surfaces. The friction coefficient is calculated by dividing the frictional force's magnitude by the force's normal force.
The applied force must be greater than the friction force since the net force is to the right (in the direction of the applied force). Understanding net force as the vector sum of all the forces can help you calculate the friction force.
Given , F = 1.2 N and mass = 1 kg
we will you F - цN = ma ------- 1
and equate it with the equation ma = mg + N
After substituting the values
We will get the value of acceleration as 0.4 [tex]m/s^2[/tex]
Substitute this value in equation 1
and we will get ц = 0.72 N
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