Answer:
18447 J
Explanation:
To calculate the internal energy of steam at a given temperature, we need to know the specific heat capacity of steam and the enthalpy of vaporization. The specific heat capacity of steam at a constant pressure is approximately 2.08 J/g*K, and the enthalpy of vaporization (latent heat) at 100°C is 2257 kJ/kg.
We can use the following equation to calculate the internal energy of steam at a given temperature:
U = m * Cp * (T - T_b) + m * L
Where U is the internal energy, m is the mass of the steam, Cp is the specific heat capacity of steam, T is the temperature of the steam, Tb is the boiling temperature of the steam, and L is the enthalpy of vaporization.
Since we are given the amount of steam in moles (1.2 moles) and the temperature (177°C), we can convert the moles of steam to mass using the molar mass of water (18 g/mol). The boiling temperature of water at standard atmospheric pressure is 100°C, so we can use this value for Tb.
First, we need to convert the temperature from degrees Celsius to kelvins:
T = 177°C + 273 = 450 K
Then, we can calculate the mass of the steam:
m = 1.2 moles * 18 g/mol = 21.6 g
Substituting these values into the equation for internal energy, we get:
U = 21.6 g * 2.08 J/g*K * (450 K - 273 K) + 21.6 g * 2257 kJ/kg
Solving for the internal energy, we get:
U = 18,447 J
Therefore, the internal energy of 1.2 moles of steam at 177°C is approximately 18,447 J.
Match the astronomical distance measuring techniques with their approximate ranges: Triangulation. distances up to about 1000 light years.
Spectroscopy. distances up to about 10,000 light years.
What is astronomical distance?Astronomical distance is the measurement of space between objects in the universe. It is usually measured in light years, which is the distance light travels in a year. Astronomical distance is incredibly vast and hard to comprehend, as it is measured in trillions of miles. Astronomical distance is used to measure distances between objects in the universe such as stars, galaxies, and planets. Astronomical distances are also used to measure the size of the universe, as well as the age of galaxies and stars. Astronomical distances can be measured using advanced instruments such as telescopes and spectroscopes. Astronomical distances are essential for understanding the structure of the universe and the evolution of galaxies and stars.
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In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.105 T magnetic field. 50% Part (a) What electric field strength, in volts per meter, is needed to select a speed of 3.9 x 10 m/s? Grade Summary Deductions 090 Potential 100% sino cos tan) cotan asino acos atan) acotan sinho cosho tanho) cotanho Degrees Radians 7 8 9 E4 5 6 1 2 3 0. VOCAL Submissions Attempts remaining 20 per attempt) detailed view Submit Hint French I give up! Hints: O deduction per hint. Hints remaining 2 Feedback: deduction per feedback 50% Part (b) What is the voltage, in kilovolts, between the plates if they are separated by 0.95 cm?
The electric field strength in volts per meter is calculated to be 4.095 V/m.
Given that, speed v = 3.9 * 10 m/s
Magnetic field B = 0.105 T
Using the mass spectrometer velocity selector relationship between the electric field and magnetic field is,
v = E/B
Where,
v is the speed selector
B is magnetic field
E is electric field
Therefore, E = vB
E = 3.9 × 10 × 0.105
E = 4.095 V/m
Thus, electric field E is 4.095 V/m.
The question is incomplete. The complete question is 'What is the electric field strength in volts per meter?'
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landings at the top and bottom of stairs should be at least equal in length to the of the stairway.
In cases when the stairway is straight, the width of the landing in the direction of travel must at least match the stair's width and cannot be greater than 1219mm.
The four main axes are north, south, east, and west. A map is a representation or drawing of the entire or a portion of the surface of the earth done to scale and on a flat surface. A spherical shape, however, cannot be totally flattened. Distance, direction, and symbol are the three elements that make up a map.
Most maps have an arrow with the letter "N" on them in the upper right-hand corner. North is indicated by this arrow's orientation. It is referred to as the north line. You can determine which direction is east, west, or south once you know which way is north. The four main axes are North, South, East, and West.
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A pulley system is used to lift up a 90N boulder. What is the mechanical advantage if you only need to use 15N of force to lift the boulder?
By simply creating more loops or pulleys, the pulley system's mechanical advantage can be accomplished.
Equation:
It is known that a pulley system can lift a crate with 90 newtons of force. Finding the pulley system's mechanical advantage is important if the input force is 15 newtons.
The force makes the distance longer as though it were working. Mechanical advantage is not greatly affected by the number of pulleys. This is only based on the amount of weight that needs to be lifted.
Therefore,
F1/F2 = 90/15
F1/F2 = 6
Given that the crate's weight is 90 N and the input force is 15 N, this makes sense.
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what should be the value of 'x' such that the mass то exerts a force of mg on the inclined surface at P. (N=mg)
The value of 'x' such that the mass то exerts a force of mg on the inclined surface at P. (N=mg) is given by
x = N / (mg cos θ)
What is value of 'x'?Generally, To determine the value of 'x', you need to know the angle of inclination of the surface and the mass of the object. The force of gravity (N) acting on the object is equal to the mass of the object (m) multiplied by the acceleration due to gravity (g). The force of gravity is also equal to the normal force (N) exerted by the surface on the object, which is perpendicular to the surface.
If the surface is inclined at an angle θ with respect to the horizontal, the normal force will be equal to the component of the force of gravity along the surface. This component can be calculated using the formula N = mg cos θ, where θ is the angle of inclination and m is the mass of the object.
Therefore, to determine the value of 'x', you need to solve the equation N = mg cos θ for 'x'. To do this, you can rearrange the equation to solve for x:
x = N / (mg cos θ)
Substituting the values of N, m, and θ into this equation will give you the value of 'x' that you are looking for.
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for a severe supercell ts to form over the great plains, one would expect the 5,000 agl wind to be group of answer choices 360/10 kt 200/15 240/90 190/45
Note that for a severe supercell ts to form over the great plains, one would expect the 5,000 AGL wind to be 190/45kts (Option D)
What is a supercell?A supercell thunderstorm is distinguished by the presence of a mesocyclone, which is a deep, continually revolving updraft. As a result, these storms are sometimes known as spinning thunderstorms.
Supercells are storms that have updrafts that spin along a vertical axis and are generally but not always thunderstorms. This rotation is caused by shear in the environmental wind field (a change in wind direction and/or speed with height) that surrounds the storm as it grows.
Supercell thunderstorms are intense, long-lived storms that are characterized by strong wind shear and rotational dynamics.
The wind shear, or the change in wind speed and direction with height, is a key factor in the development and maintenance of supercell thunderstorms.
Note that AGL means Above Ground Level; while
KTS means Knots. Knots are a unit measurement of speed. I nautical mile is usually equated to one knot.
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Which of the following is an important difference between the infinite square-well potential and the finite square-well potential?a. The number of energy levels is limited in the infinite square-well potential but not limited in the finite square-well potential.b. The infinite square-well potential utilizes Schrödinger's equation to describe particle motion while the finite square-well potential does not.c. The energy levels are quantized only in the finite square-well potential.d. Particles can exist in classically forbidden regions outside the finite square-well potential.e. Only the energy levels in the finite square-well potential depend on Planck's constant.
Particles can exist in classically forbidden regions outside the finite square-well potential.
The correct option is D.
What if Planck's constant was zero?In the absence of quantum effects, everything would be continuous, smooth, and completely predictable in the Newtonian sense. However, we may not be here to get bored with this if Planck's constant were 0.
What use does Planck's constant serve?At the atomic scale, the behavior of both particles and waves is described by Planck's constant. One of the factors that led to the creation of quantum mechanics is Planck's constant. It was a surprise when those boundaries also turned to represent the limits where known rules of physics applied since the Planck scaled was developed as an universal set of units.
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five coins are stacked in the smooth plastic container. if each coin weighs 0.0235 lb, determine the normal reactions of the bottom coin on the container at points a and b.
The smooth plastic jar has five pennies placed inside of it. The normal reactions of the bottom coin on the container at locations a and b will be 0.0705 lb and 0.1175 lb respectively if each coin weighs 0.0235 lb.
What does normal force mean?A contact force, the normal force is often referred to as the normal reaction force. On two surfaces that are not attached to one another, a normal force cannot be applied.
What normal force is present during deceleration?The body's weight determines the usual deceleration force. A body's position relative to the ground tells us when it is about to fall. The normal force is the portion of a force that is perpendicular to any contact surface.
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Two blocks on a surface of negligible friction are attached together by a spring, as shown in the figure above. The mass of block 1 is MM, and the mass of block 2 is 2M. Block 1 is initially moving toward block 2, which is at rest. The spring compresses and decompresses in a repeated motion as the two blocks slide to the right. Which of the following statements best describes the speed of the center of mass of the two-block system?
In the absence of an external force, the total linear momentum of the system maintains conservation, indicating that the speed of the system's center of mass is constant.
This is because the spring force between the masses acts as an internal force between the two masses.
The product of an object's mass, m, and velocity, v, is known as linear momentum, and it is a vector quantity. In order to express it and refer to momentum informally, the letter "p" is utilized. You should be aware that a body's momentum always points in the same direction as its velocity vector. Because it is a conserved quantity, the overall momentum of a system is always constant. Linear momentum is measured in kg/s.
The total linear momentum prior to an object's interaction and the total linear momentum following that interaction is identical. Any system of objects that is subject to no net external force has a constant total linear momentum.
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- A basketball strikes the rim of the basket. Explain each force in the force pair.
A basketball experiences four forces as it soars through the air. The ball is being pulled down to the Earth by gravity, being propelled upward by buoyancy, and slowed down due to the drag force created by the air it collides with.
What is force ?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
For instance, a basketball will strike the ground hard when it is dribbled. The ground's force on the ball is balanced by this force of the ball on the ground. The ball is sent upwards by the second force since it acts in the opposite direction. There are numerous characteristics of motion that depend on this interaction.
Thus, A basketball experiences four forces as it soars through the air.
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A rod has a length 2.0000m at 20.0C. The length of the rod increases to 2.0005
5.00 × 10-3/K is the coefficient of thermal expansion of the material from which the rod is made as it increases its length to 2.0005m
What is the purpose of the thermal expansion coefficient?The coefficient of thermal expansion explains how an object's size varies when temperature changes. In particular, it measures the fractional size change per degree change in temperature at constant pressure, where lower coefficients denote a reduced propensity for size change.
What does thermal expansion mean?The propensity of matter to alter shape, volume, and area in reaction to a change in temperature is known as thermal expansion. The average molecular kinetic energy of a substance has a monotonic relationship with temperature.
How is thermal expansion calculated?Use the equation for linear thermal expansion ΔL=αLΔT Δ L = α L Δ T to calculate the change in length, ΔL .
How to solve?Get your rod hot enough to achieve, say, 1% linear thermal expansion.
The rod's dimension has increased to 1.01 units.
The rod is 1.030301 times its original size, or 1.013 larger than it was before heating.
This equals 1.03 when rounded to three major figures. In other words, its volume is 3% higher than that of the cold specimen.
The linear expansion is tripled, or 3%, by the volumetric expansion.
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Complete question:
A rod has a length 2.0000 m at 20.0°C. The length of the rod increases to 2.0005 m when the temperature increases to 40.0°C. What is the coefficient of thermal expansion of the material from which the rod is made?
A converging lens with a focal length of 40 cm and a diverging lens with a focal length of -40 cm are 160 cm apart. A 2.5 cm-tall object is 60 cm in front of the converging lens.
Calculate the image position. cm in front of the second lens.
Calculate the image height.
1.25 cm is the height of the image. 160 cm separates a converging lens with such a 40 cm focal length from a diverging lens with the a -40 cm focal length. The converging lens is 60 cm away from a 2.5 cm tall item.
What does a converging or diverging lens mean?A lens that conforms a parallel source beam of light is known as a converging lens. One kind of converging lens is a double convex lens. Converging Lens A lens that separates a parallel light beam is known as a diverging lens. Diverging lenses include those that are double concave.
For the diverging lens, this image height corresponds to object height. We obtain h ′D=(20cm40cm)(5.0cm)=1.25cm again for diverging lens as a result.
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which of the following observations indicates that conditions on mars may have been suitable for life in the past?
Answer:
Liquid water one flowed on mars,the existence of nutrients,and the previous discovery of a past magnetic field that protected the planet from cosmic and solar radiation.
During the heating season, a damper in the bypass duct is closed to prevent air from passing through the humidifier. Electronic humidistats are equipped with solid-state sensors in place of a hygroscopic element. Evaporative humidifiers contain an element that is kept damp. False
This statement is False because Solid-state sensors are used in place of a water - absorbing element in electronic humidistats. A damper in the bypassed duct is closed during the summer period to stop airflow.
What is hygroscopic and example?Hygroscopy - A material is said to be hygroscopic if it has the capacity to adsorb and retain water or water from its immediate surroundings. Examples include ethanol, glycerin, concentrated sulfuric acid, honey, silica gel, and methanol.
How hydroscopic is water?Around the soil particles, some water in the soil creates an incredibly thin, firmly held layer. It's referred to as hydroscopic water. A little amount of water in the soil is chemically linked to soil components in the soil. We refer to it as mixed water.
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If a cable originates inside one building and leaves the building, the landlord loses control of that cable. T or F?
It is true to say that If a cable originates inside one building and leaves the building, the landlord loses control of that cable.
Cable originating from one building to another building will have total control by the landlord from which the cable have passed. Since cable passes from one building to another building in that case some part of cable is not inside the building due to that control over the cable is distributed between more than one type of landlords .Worms can be spread through means other than direct network .Now, when it passed between the two building, in that case if one landlord did some changes in some part of cable then that change will not be controlled by the landlord who live in other building.
Hence, given statement is true.
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The elevator descends with an acceleration of 0.9 m/s². Find how much a 95 kg person weighs in it at the moment of descent.
A toy spacecraft is launched directly upward. When the toy reaches its highest point, a spring is released and the toy splits into two parts with masses of 0.01 kg and 0.09 kg, respectively. Immediately after the separation, the 0.01 kg part moves horizontally due east. Air resistance is negligible. True statements about the 0.09 kg part include which of the following? I. It could move north immediately after the spring is released. II. It takes longer to reach the ground than does the 0.01 kg part. III. It strikes the ground closer to the launch point than does the 0.01 kg part. (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II, and III
Air resistance is hardly noticeable. true regarding the 0.09-kilogram component. This causes 0.01kg to land farther from the launch site than 0.09kg did.
0.09kg will move to the west due to momentum conservation (opposite of 0.01 kg). Additionally, since both are at the same height above the ground, it will take them equal amounts of time to descend to the ground.
Allowing v to be the speed of 0.01 kg, which means that the speed of 0.09kg will be smaller than 0.01 kg,
0.01v - (0.09)V = 0
V = 0.01 v/ 0.09 = 0.111v
The speed of 0.09 kg = 0.111v
The speed of 0.09 kg is less than 0.01kg.
Because of this, 0.01kg hits the ground farther from the launch point than 0.09kg did.
The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (), which represents resistance, represents ohms. German physicist Georg Simon Ohm (1784–1854), who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm.
Resistance measurements are typically performed in order to evaluate the health of a component or a circuit.
Current flow is inversely correlated with resistance. Conductor damage from corrosion or burning could be one of several potential causes if it is extremely high.
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Approximately, ___ municipal solid waste landfills in the United States combust landfill gas to generate heat and electricity
400
Approximately, 400 tons of municipal solid waste landfills in the United States combust landfill gas to generate heat and electricity
What is municipal waste?We know that municipal waste has to do with the waste products that can be obtained from the activities that go on in the city. the magnitude of the municipal waste that is generated in a place would have a lot to do with the population of the area as well as the industrial saturation of the area.
This is the reason why the areas that have less population and the industries that are there are not so much do not expirience a lot of pollution and do not have a large amount of waste water that goes out as sewage.
The solid wastes that are generated in the United States is just as large as the sewage that is generated in the united states and calls for a very urgent attention.
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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear out. The results are Brand A: \overline{x}_1 = 36. 300 x
1
=36.300 kilometers, s_1s 1
= 5000 kilometers. Brand B: \overline{x}_2 = 38. 100 x
2
=38.100 kilometers, s_2 = 6100s 2
=6100 kilometers. Compute a 95% confidence interval for \mu A − \mu BμA−μB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal.
A 95% confidence interval for μA-μB is 0.025
If we want to make a 95% confidence interval estimate for an unknown population mean. This means that there is a 95% probability that the confidence interval will have the true population mean.
Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.
We have,
n1 = 12
s1 = 5000
mean x1 = 36300
n2= 12
s2 =6100
mean x2 =38100
We have to find 95%confidence interval for μA- μB
from 95% = 100 (1-α%)
1-α = 0.95
α = 1-0.95 =0.05
α/2 = 0.025
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in the figure, light is incident at angle on a boundary between two transparent materials. some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air.
(a) θ5 in the air is 56.9° and (b) θ4 in the bottom material 35.30°. Normally, a light beam that strikes an angle on a prism's refracting face emerges from the opposite face.
How to calculate?(a) Approximating n=1 for air, we have
n1. sinθ1 = (1)sinθ5 ⇒56.9°=θ5
and with the more accurate value for n air in Table below, we obtain 56.80.(b) Equation n1 sinθ c =n2 sin 90° leads to,
n1 sinθ 1=n2 sinθ2 =n3 sinθ 3 =n4 sinθ 4
so that. θ4 =sin −1( n1/n4.sinθ 1 )=35.30° .
What does angle of incidence mean?The angle of incidence is formed by a line drawn perpendicular to the reflecting barrier and the wave's direction of motion.
Is the incidence angle of refraction?Refraction Depending on the Refractive Indices in the Two Media and the Angle of Incidence. Snell's law states that the angle of incidence, I and the proportion of the refractive indices of the two media that make up the interface determine the angle of refraction, r.
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A potato falling vertically downward is struck by a dart that is traveling vertically upward, as shown above. The dart and potato then collide, stick together, and continue moving after the collision.The weight of the dart is W. Which of the following claims best describes the magnitude of the net force on the dart immediately before, during, and immediately after the collision with the potato?
Option B is Correct
The velocity of the center of mass remains constant before the collision, when they collide there is a slight decrease in kinetic energy of the system since the collision is inelastic, resulting in a slight decrease of velocity, afterwards the velocity is constant again.
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. Both magnitude and direction are required to define it. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, " meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.
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a wire of length l is wrapped into a coil with n turns this coil is then placed in a magnetic field of strength b
Maximum torque developed is (BIL²/4[tex]\pi[/tex]n).
Torque is a measure of force that can cause an object to rotate about an axis.
A force causes an object to accelerate in linear kinematics. Similarly, torque causes angular acceleration. Torque can therefore be defined as the rotational equivalent of a linear force. The line about which the object rotates is called the axis of rotation. In physics, torque is simply the tendency of a force to rotate or twist.For any structure such as a solenoid, toroid, and circular arc, the magnetic field at a certain point of the structure is always proportional to the number of turns of the coil.
As we know magnetic field is (BIL²/4[tex]\pi[/tex]n)
2[tex]\pi[/tex]rn = L
r = (L/2[tex]\pi[/tex]n)
A = [tex]\pi[/tex]r²
A = (L²/4[tex]\pi[/tex]n²)
M = niA
M = (iL²/4n[tex]\pi[/tex])
Then Torque is Z = MBSin90°
The question is incomplete, the complete question is "a wire of length l is wrapped into a coil with n turns this coil is then placed in a magnetic field of strength b, the maximum possible torque developed is?"
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Suppose a rocket is fired vertically upward from the surface of the earth with one-half of the esacpe speed. How far from the center of the earth will it reach vefore it begins to fall back?
(let g = 9.8 m/s^2 and Re = 6370 km)
A. 1.3 * 104 km
B. 8.5 * 103 km
C. 9.6 * 103 km
D. 2.6 * 104 km
E. 1.9 * 104 km
The correct answer: B.
I do not understand why I am not getting the correct answer.
The distance before it falls back to the earth is 8.5 * 103 km. Option B
What is the escape velocity?We know that the escape velocity has to do with the velocity that has to be supplied to a material so that the material can be able to escape from the earth's gravitational pull. Let us recall that the whole earth is a large gravitational field. If we throw an object up then the object would have to certainly fall doen to the ground under the influence of gravity.
It is therefore clear that gravity is the force that draws any object that goes upwards down back to the ground. Given that we have been told here that the speed is one-half of the escape speed, then then the magnitude of the speed is 5590.3 m/s.
Given that;
v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = height
Then;
u^2 = 2gh
h = u^2/2g
h = ( 5590.3)^2/2 * 9.8
= 8.5 * 103 km
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find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following.
The amplitude is 0.25s.
Calculation:
Amplitude = A = 0.225 m
Angular frequency = w = 8π rad/s.
Frequency = f = w/2π = 8π/2πHZ = 4 HZ
Time period = T = 1/f = (1/4)s = 0.25s.
The maximum displacement or distance traveled by a point on an oscillating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. Amplitude difference between a rest position and maximum shaft deflection.
Frequency The number of waves passing a particular point per second. Duration How long it takes for a wave cycle to complete. Sound wave amplitude is a measure of wave height. The amplitude of a sound wave can be defined as the magnitude or loudness of the maximum displacement from the average position of the vibrating particles in the medium when the sound was produced.
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which of the following vectors best describes the path of the airplane? question 6 options: none of these
The following vectors best describes the path of the airplane Aniseed of the as plan is 528 [tex]\mathrm{mi} / \mathrm{hr}[/tex]
What is airplane?
A fixed-wing aircraft that is pushed forward by the thrust of a jet engine, propeller, or rocket engine is known as an aeroplane or aeroplane. There are many different sizes, forms, and wing arrangements for airplanes.
[tex]\text { bearing } 25^{\circ} \text { west of north }[/tex]
[tex]\text { Since } \quad 90^{\circ}+25^{\circ}=115^{\circ}[/tex]
[tex]\text { so path of the airplane is }[/tex]
[tex]\left.v=528 \cos \left(i 15^{\circ}\right) i+528 \sin \left(115^{\circ}\right)\right][/tex]
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The smoke from the Old Man’s furnace travels up from the basement at a velocity of |.5 meters per second. Ralphie is sitting in the kitchen above and can smell the smoke within 6 seconds. What is the approximate distance that the smoke travels up from the furnace?
The approximate distance that the smoke travels up from the furnace is 9metres.
What is distance?Distance is described as a numerical or occasionally qualitative measurement of how far apart objects or points are. In the field of physics or everyday usage, distance is usually referred to a physical length or an estimation based on other criteria.
Parameters given:
Velocity = 1.5
time = 6 seconds
We know that distance = speed x time
Hence, distance = 1.5 x 6 seconds
distance = 9 meters.
Distance is a scalar quantity that refers to how much ground an object has covered in the course of its motion while we can describe displacement as a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
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apply the loop rule to loop 2 (the smaller loop on the right). sum the voltage changes across each circuit element around this loop going in the direction of the arrow. remember that the current meter is ideal.express the voltage drops in terms of vb , i2 , i3 , the given resistances, and any other given quantities.
The voltage drops in terms of vb , i2 , i3 , the given resistances, and any other given quantities.ΣΔV = 0 = I3 ⋅ R3 - I2 ⋅ R2.
When applying Kirchhoff's second rule the loop rule we need to identify closed loops and decide whether to loop clockwise or counterclockwise. For example, in Figure 3 the loop was traversed in the same direction as the current.
Loop 1 is the full loop and Loop 2 is the small loop on the right. To apply the loop rule, add all those voltage changes. Kirchhoff's Second Law, also known as Kirchhoff's Voltage Law states that the sum of all voltages around the closed loop of any circuit must be zero. This is a result of charge conservation and energy conservation.
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A wire is formed into a circle having a diameter of 20.0 cm and placed in a uniform magnetic field of 2.50 mT. The wire carries a current of 5.00 A.
(a) Find the maximum torque on the wire.
_____ µN·m
(b) Find the range of potential energies of the wire-field system for different orientations of the circle.
minimum
_____µJ
maximum
_____ µJ
The maximum torque on the wire is 392.3 µN·m and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)
Torque: Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity.
Given that,
diameter D=20cm
Radius r =10cm
magnetic field B =2.5mT
current I=5A
Torque= n×B
=nBsinФ
torque=nB= NIAB
= 1×5×π×[tex]10^{2}[/tex]×[tex]10^{-4}[/tex]×2.5×[tex]10^{-3}[/tex]
= 39.23×[tex]10^{-5}[/tex]
= 392.3µN·m
minimum potential energy= -nB= -392.3µN·m
maximum potential energy =+nB= +392.3µN·m
Therefore the maximum torque on the wire is 392.3 µN·m when is placed in an uniform magnetic field of 2.50mT and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)
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The bullet strikes a block of wood which exerts, on average, a force of 50,000 N opposing the motion of the bullet. How far does the bullet penetrate?
The distance that the bullet penetrates is 0.03m.
How to solve?Given data:
The mass of the bullet is
m = 25 g = 0.025 kg
The bullet's initial velocity is
u = 350 m/s
The final velocity of the bullet is
v = 0
The average force opposing the motion is
F = 50000N
From Newton's second law, the acceleration derived as,
F = m. a.
a = F. m..........(1)
Substituting values in equation (1), we get:
a = 50000 N / 0.025 kg = 2×106 m/s 2
The equation of motion is,
v 2=u 2−2 a S
2 a S=u 2−v 2
S = u 2−v 2/2 a.......(2)
Substituting values in equation (2), we get:
S = (350 m/s)2−0/2(2×106 m/s 2)
=12.25×104 m/s 4×106 m/s 2=0.03m
here, the distance that bullet penetrates is 0.03m.
What is the kinetic energy equation?Kinetic energy has the following formula: K.E. = 1/2 m v 2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kg/m per second squared if the mass is measured in kg and the velocity is measured in meters per second.
Which 4 forms of kinetic energy are there?Radiant, thermal, electrical, and mechanical kinetic energies are the basic categories.
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Two blocks, with masses indicated in the figure above, are at rest on a horizontal surface and connected by a string of negligible mass and a compressed spring. There is negligible friction between the blocks and the surface. The string is cut, and the spring pushes the blocks away from each other. Which of the following statements are true about the motion of the blocks immediately after the string is cut? select two answers.
1. The velocity of the center of mass of the two-block system is zero.
2. The magnitude of the acceleration of the left block is greater than that of the right block.
The center of mass, or balancing point, of a distribution of mass in space is the only location where the total of the weighted relative positions of the distributed mass equals zero. In order to accelerate linearly without also accelerating angularly, a force might be applied at this moment. Using the center of mass as a reference point simplifies calculations in mechanics quite a bit. To imagine how an object would move, one can imagine a hypothetical location where the object's total mass is concentrated. To apply Newton's equations of motion to a particular object, the center of mass is the particle equivalent of that thing.
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