The ball will take 45 seconds to reach the ground.
U=0(since ball is dropping)
So, we have to find t=?
Given
a=-9.8m/s
S=45m
As we know,
S=ut+1/2at^2
so,
t^2=45×90/2
hence
t=45s.
so the time taken is 45 seconds.
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a horizontal spring with spring constant 250 nv/m is compressed 12 cm and used to launch a 250 g box across the floor. the coefficient of kinetic friction between the box and the floor is 0.23. what is the box's launch speed?
Therefore, the lunch speed of the box is 3.72m/s
What is kinetic friction ?
Kinetic friction is a force that exists between moving surfaces. A body moving on the surface is subjected to a force that is directed in the opposite direction of its movement. The size of the force is determined by the kinetic friction coefficient of the two materials.
Friction is simply the force that holds a sliding object back. Kinetic friction is present in everything and interferes with the motion of two or more objects. The force acts in the opposite direction of the object's desire to slide.
The integration of force due to spring with respect to spring is equal to the potential energy of the spring.
U=∫-Fdx
Here, U is the potential energy.
U= 1/2k[tex]x^{2}[/tex]
U= 1.8J
The final kinetic energy of the box is,
K= 1/2m[tex]v^{2}[/tex]
v=3.72m/s
The system's total potential energy equals the work done owing to kinetic friction. Using the law of conservation of energy, the sum of the energies obtained before compressing the spring equals the sum of energies obtained after expanding the spring.
Therefore, the lunch speed of the box is 3.72m/s
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white light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm. how wide is the first-order spectrum on a screen 3.10 m away?
The fundamental spectrum contains only one wavelength. In this case, the wavelength is 750 nm.
The first-order spectrum of white light is the rainbow pattern that appears when white light is passed through a prism in order of decreasing wavelength.
The minimum distance between two wavelengths that can be distinguished by our eyes is known as the Rayleigh criterion, which is equal to (wavelength)/1 nm = Rayleigh criterion
For example, the Rayleigh criterion for red light is 590 nanometers (nm). Therefore, when white light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm, the first-order spectrum on a screen 3.10 m away.
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a circular platform of radius 4.0 m is initially spinning with an angular velocity of 8.0 rad/s. the platform accelerates for 2.0 s while passing through a displacement of 10. rad. what is the angular acceleration of the system.
0.5rad/s^2 is the value of angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.
What is angular velocity?The rotation rate, which refers to how quickly an item rotates or circles in relation to another point, is measured vectorially by angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.
The speed at which the angular position or orientation of an object changes over time is depicted in physics by the terms "angular velocity" or "rotational velocity" ( or ), also known as "angular frequency vector,"[1] and "angular frequency vector vector." The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves.
Angular velocity=Δw/Δt
=w2-w1/t2-t1
=8.0-4.0/10-2.0
=0.5 rad/s^2
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a mass of 10 kg is pushed up against a spring with a spring constant of 5 n/m. the mass compresses the spring by 8 m, and then it is released. how fast is the mass going once it leaves the spring?
According to the given statement 160 J fast is the mass going once it leaves the spring.
What is the means of mass?In science, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body containing matter in the universe resistance to changing its speed or location in response to the force applied. The change caused by a force applied is smaller the more mass a body has.
Briefing:Mass m = 10kg
Spring constant k = 5n/m
Constant Spring Compression in the mass x = 8m
The elastic potential energy of the spring is transformed into the kinetic energy of the mass when the mass exits the spring.
1/2 kx2 = 1/2 mv2
1/2 . 5 . (8)2 = 1/2 . mv2
1/2 mv2 = 160 J
The kinetic energy of the mass is 160 J.
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how does the frequency of the transverse wave change as it moves into a new medium, from a gas to a liquid?
Transverse waves cannot be formed in liquids or gases because they lack the ability to bend their shape. Transverse waves include, for instance, light waves.
What is Transverse wave?Transverse waves are a particular sort of wave motion where the particle movement is perpendicular to the direction of wave propagation. Both the surface of liquids and solids can produce it.A traveling wave whose oscillations are perpendicular to the wave's direction is said to be transverse. By fastening one end of the string and moving the other up and down, you can easily make a wave on a horizontal piece of string.Because the particles move in a direction that is opposite to the direction of the wave, this sort of wave is given its name. Transverse waves may be electromagnetic or mechanical in nature. A disturbance that moves through a medium is called a mechanical wave.To learn more about Transverse wave refer to:
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Number of individuals in a rocky mountain forest organism population mountain lions 150 bobcats 300 coyotes 10,000 deer 25,000 mountain lions bobcats coyotes deer
The animal with the lowest bar on that bar graph would be the mountain lion.
A bar graph is a visual representation of data that uses rectangular bars having lengths according to the values they represent. A bar graph, which can be shown horizontally or vertically, compares sets of data.
According to the question, mountain lions had the lowest bar on a bar graph since they have the smallest population 150 of all the species.
Bar graphs are a way of representing the numerical data sets of different aspects on a graph paper that allows easy calculations and conclusions.
On the graph sheets, the quantitative method is shown as bars, which show their values.
The answer to the query indicated that Mountain Lions would have the graph's lowest bar.
The picture provided below shows the plotted and associated bar graph again for the aforementioned query.
The vertical or y-axis represents the animal population, while the horizontal or x-axis shows the various species of animals.
Mountain lions are the species with the least amount of residents in the area.
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The question is -
If the data below were put into a bar graph, which animal would have the lowest bar on the bar graph? Number of Individuals in a Rocky Mountain Forest Organism Population Mountain lions 150 Bobcats 300 Coyotes 10,000 Deer 25,000 mountain lions bobcats coyotes deer Mark this and return Save and Exit.
Answer: the answer is A
Explanation:i got it from a friend it was right
g the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 2903 n with an effective perpendicular lever arm of 2.35 cm , producing an angular acceleration of the forearm of 130.0 rad / s2 . what is the moment of inertia of the boxer's forearm?
The moment of inertia of the boxer's forearm will be 0.525kg.[tex]m^{2}[/tex]
In physics, it means quantitative measure of the rotational inertia of the body. As an example, the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force). The axis may be internal or external and may or may not be fixed.
From the question given, the triceps muscle in the back of the upper arm extends the forearm of a professional boxer when he extends his arm,
Torque generated due to this force is,
τ = F * r
τ = torque is generated
F = force exerted = 2903n
r = the radius of the lever arm = 2.35cm = 0.0235m
Now let's use the torque formula
τ = 2903N * 0.0235m
τ = 68.2205 N.m
Next, we want to find the moment of inertia of the boxer's forearm by calculating the relation between torque and moment of inertia and angular acceleration,
τ = torque = 68.2205Nm
I = moment of inertia
α = angular acceleration = 130 rad / s²
τ = Iα
68.2205 = I*130rad/s²
I = 0.525 kg.m² (rounded)
Therefore, the value of moment of inertia is 0.525kg.m²
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a car moving at 30 m/s backwards it completes this motion is 6/s. what is the acceleration of this car
The acceleration of this car is 5 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
initial velocity = 0 from rest
final velocity = 30 m/s
time = 6 sec
acceleration = rate of change of velocity
= 0 - (-30) /6
= 5 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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Ryan scores during his Waterpolo match by throwing the water polo ball hard. If the water polo bairs mass is 0.45 kg, the ball’s weight is ___N
The ball accelerates at a rate of 5.0 m/a^2 after Ryan throws it The net force on the ball is ___N.
The friction between the ball and the air is 2.65 N. To throw the ball at 5.0 m/a^2. Ryan has to apply a force of ___N
Ball’s weight is 4.4129925 N , net force on the ball is 2.25 N , Ryan has to apply a force of 4.9 N.
What is force ?
Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, the two objects no longer receive forces. Forces arise only through interactions , describes the technique of rocks converting their bodily houses with out converting their simple composition.
What is acceleration ?
Acceleration is a vector quantity defined as the rate at which an object's velocity changes. An object accelerates when its velocity changes.
What is friction ?
Friction is the resistance to movement of 1 item transferring relative to another. According to the International Journal of Parallel, Emergent and Distributed Systems(opens in new tab), it isn't always handled as a essential force, like gravity or electromagnetism. Instead, scientists accept as true with it's miles the end result of the electromagnetic appeal among charged debris in touching surfaces.
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if we could put all the asteroids in the asteroid belt together, their total mass would be .
If we could place all the asteroids collectively, their general mass would be much less than the mass of any terrestrial planet.
The whole mass of the asteroid belt is expected to be 2.39×1021 kg, which is just three% of the mass of the Moon. The 4 biggest items, Ceres, Vesta, Pallas, and Hygiea, account for perhaps 62% of the belt's total mass, with 39% accounted for by way of Ceres on my own. Gravitational tugs from Jupiter avoided fabric from accumulating collectively to shape a planet.
The 4 biggest asteroids inside the belt are known as Ceres, Vesta, Pallas, and Hygiea. these huge asteroids make up about half of the mass of the complete asteroid belt. Scientists like to mention that in case you blended all of those rocky asteroids collectively, it might make a planet a piece smaller than Earth's moon.
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the purpose of an airbag is to increase the time it takes your body to come to a stop during an automobile accident. this increased time causes the force of the impact to decrease. question 8 options: 1) true 2) false
The purpose of an airbag is to increase the time it takes your body to come to a stop during an automobile accident. this increased time causes the force of the impact to decrease - True.
Air bags add protection and should be used in connection with seat belts.
These are balloon cushions that protect passengers in the event of a collision.They provide a soft restraint between the occupants and the vehicle interior during a crash, which can reduce or even prevent injuries.used in automobiles because they can reduce the force felt by a person in the event of an accident.Air bags increase the amount of time it takes to stop the driver and passenger's momentum. During a collision, the motion of the driver and passenger propels them towards the windshield.
The purpose of an airbag is to increase the time it takes your body to come to a stop during an automobile accident. this increased time causes the force of the impact to decrease - True.
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he coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. for an object with a coefficient of 0.76, what fraction of the object's kinetic energy is lost during a single collision? the coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. for an object with a coefficient of 0.76, what fraction of the object's kinetic energy is lost during a single collision? 42% 58% 17% 51%
A single collision results in a loss of 42% of the object's kinetic energy.
How to calculate coefficient of restitution?Kinetic energy is equal to 0.5 x mass x v2.
kinetic energy coming in = 0.5 x m x v2
v/u = Coefficient of restitution
0.76 = v/u
v = 0.76u
Kinetic energy expended = 0.5 x m x 0.76²
Kinetic energy expended = 0.5 x m x 0.5776
Kinetic energy expended = 0.5776 (0.5 x m x )
The kinetic energy that is coming in is 0.5 x m x x2.
kinetic energy expended = 0.5776 x (incoming kinetic energy)
The entering kinetic energy is equal to 57.76% of the exiting kinetic energy, as can be seen from the above.
A loss of energy of 100 - 57.76 = 42.24%
Therefore, a single collision results in a loss of 42.24% of the object's kinetic energy.
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three particles lie in the x-y plane: a 100 gram particle lies at point (1,1), a 200 gram particle lies at point (-2,0), and a 300 gram particle lies at point (0,3). all distances are measured in meters. what is the moment of inertia for this system rotating in the x-y plane around the origin?
The system rotating in the x-y plane about the origin has a moment of inertia of 3.6 kg/m2.
What is Moment of inertia?A body's resistance to having the speed of its rotation along an axis changed by the application of a torque is known as its rotational inertia, and this property may be measured quantitatively (turning force). The axis could be internal or exterior, fixed or not.I = mi * ri2 = m1 * r12 + m2 * r22 + m3 * r32 = 100*12 + 200*22 + 300*32 = 100+800 + 2700 = 3.6Kg-m2The Moment of Inertia for a point mass is defined as the mass times the square of the angle from the rotational reference axis. I=mr2. A kilogram is one kilogram, and a metre is one metre.In physics, a moment can be described as the turning that forces have on objects.To learn more about Moment of inertia refer to:
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magnus has reached the finals of a strength competition. in the first round, he has to pull a city bus as far as he can. one end of a rope is attached to the bus and the other is tied around magnus's waist. if a force gauge placed halfway down the rope reads out a constant 1550 newtons while magnus pulls the bus a distance of 2.15 meters, how much work does the tension force do on magnus? the rope is perfectly horizontal during the pull.
The Work done by tension force on Magnus is
- 3225 Joule .
In the given question we have, one end of rope is tied around magnus waist and other attched to bus and he pulls the bus. The direction of tension force is just work done.
constant force = 1550 Newton
displacement = 2.15 meters
The direction of tension force is opposite to work done due to the tension force is reaction force to force of work done for pulling the bus.
work done by tension = W = - W₀
where W₀is horizontal work done by magnus during pulling.
so, W₀ = Fdcosθ
where , F---> force , d--> displacment and θ ---> angle between force and displacement
As we see whole work done in horizontal direction. So, angle between force and displacement is zero.
put all the vales in above formula we get ,
W₀= 1550× 2.15 cos0 = 1550×2.15 = 3225 Joule
W = - W₀ = - 3,225J
Hence, work done by tension force on Magnus is
- 3,225 Joule.
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Calculator
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A speaker, rated at 4V, draws a current of 13A. It is left switched on for 3 seconds. How much electrical work is done on a speaker?
Answer:
16C
Explanation:
since current=CHARGE/TIME
THEREFORE CHARGE=TIME X CURRENT
=2X8
=16C
If two tractors are pulling against each other at a tractor pull and the first tractor exerts 500N of force to the East and the second tractor exerts 350N of force to the west and the combined weight of the tractor is 800 kg, what is the acceleration of both tractors? In what direction?
Answer:
Explanation:
Given:
F₁ =500 N
F₂ = 350 N
m₁ = m₂ = m = 800 kg
__________
R - ?
a - ?
Resultant force:
R = 500 - 350 = 150 N
System acceleration:
a = R / (m₁ + m₂) = R / (2·m)
a = 150 / (800 + 800) = 0.094 m/s²
Direction R and a - East
you are in bed and wish to shut your bedroom door without getting up. you happen to have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off. which one would be more effective to throw at your door to close it?
Using the concepts of momentum, we got that bouncy ball will be more effective as to throw at my door to close it when both with the same mass. the play dough will stick to the door, the ball will bounce off.
The momentum of an object is equal to the product of its mass and its velocity. The momentum of the system is conserved even if the collision is inelastic.
When the bouncy ball or the blob of clay actually hits the door, their momentum changes. Since momentum is conserved, the door would move in the opposite direction so that the total momentum stays at zero.
Let the mass of each object be . Suppose that both of the objects hit the door at a speed of in the same direction.
The bouncy ball will actually bounce back at about the same speed (in the opposite direction, away from the door.) The magnitude of the change in velocity will be at most . The magnitude of the change in momentum will be at most .However, when the blob of clay hits the door, its shape would change (and it would potentially stick to the door.) In other words, its velocity becomes almost after the collision. The magnitude of the change in its momentum will only be around , which is only about the momentum change due to the bouncy ball.By Newton's Second Law, the net force on the door is proportion to the rate of change in its momentum.
Hence, when I am in bed wish to shut my bedroom door without getting up and have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off, the more effective ball to throw at my door to close it is the bouncy ball.
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An astronaut orbits the Earth in a space station.Which is a vector quantity
The force of gravity is the only force acting upon their body. The astronauts are in free-fall.
If the astronaut is formed of the same amount of material as before, the mass will always be the same.
So, when asked what the astronauts' mass is on the space station, we can respond it's still 65 kg. Because there is no gravity in space, astronauts float around.
Everyone understands that the gravitational force decreases with distance from Earth. Astronauts are so far away from Earth that gravity is negligible. This is why NASA refers to it as microgravity.
Mass is the same whether measured on Earth or on the International Space Station. Weight can vary based on gravitational pull, such as on the Moon, where weight is one-sixth that of Earth.
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a 3 kg sphere moving at 30 m/s makes a perfectly inelastic collision with a second sphere of 6 kg that is at rest. (a) what is the velocity of the spheres after the collision? (b) how much kinetic energy is lost in the collision?
The energy an object has as a result of motion is known as kinetic energy.A force must be applied to an object in order to accelerate
How much kinetic energy is lost in the collision?Given,
m1 = 3 kg
Mass, = 3kg
Speed, = 30 m/s
u2= 0
= 1 kg
Speed after collision = 6 m/s
Kinetic energy lost, K×E = ?
During collision, momentum is conserved.
Before collision, the kinetic energy is
KE =1/2(3)*(3)*(30)+1/2*1*(0)²
KE=1/2*4*25+0
By plugging in the values we get,
K×E = 50 J
Therefore, kinetic energy before collision is 50 J
Kinetic energy after collision:
KE =1/2(4+1)+KE
KE = 40J+KE
Since,
Initial Kinetic energy = Final kinetic energy
50J=40J+K*E
50 J = 40 J + K×E(lost)
K×E(lost) = 50 J - 40 J
K×E(lost) = 10 J
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for a slinky, the unstretched length is much shorter than the stretched length. suppose that the fundamental standing wave is oscillating on a slinky. how does the period of the standing wave change as the length of the slinky is altered?
Using the concepts of simple harmonic progression, we got that period of the standing wave changes directly proportional as the length of the slinky is altered.
We know very well that a standing wave traverse alternatively from crest to trough.
Crest is defined as that point when amplitude is maximum in positive y-direction and trough is defined as that point when amplitude is maximum in negative y-direction.
To traverse from crest to trough, a standing wave requires some time.
When the length of standing wave changes the time required by the standing wave also changes.
It means if we increase the length of slinky then the time required by the standing wave also increases and if we decrease the length of slinky then the time required by the standing wave also decreases.
Hence, when the fundamental standing wave is oscillating on a slinky, the period of the standing wave change directly proportional as the length of the slinky is altered.
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Find the magnitude and direction of (a) the resultant (b) the equilibriant of two forces, 10 N acting in the direction N 30 East and 15 N acting in the easterly direction, if both forces act at a point.
(a) The magnitude of the resultant of the forces is 24.2 N.
(b) The direction of the forces is 12⁰.
(c) The equilibrant of two forces is -24.2 N.
What is the resultant of the forces?
The resultant of the forces is calculated by resolving the forces into x and y components as follows;
The x-component of the forces is calculated as follows;
x-component of the first force = 10 N x cos(30) = 8.66 N x-component of the the second force = 15 N x cos(0) = 15 Nsum of x - component of the forces, X = 8.66 N + 15 N = 23.66 N
The y-component of the forces is calculated as follows;
y-component of the first force = 10 N x sin(30) = 5 N y-component of the the second force = 15 N x sin (0) = 0 Nsum of y - component of the forces, Y = 5N + 0 N = 5 N
The resultant of the forces is calculated as;
F = √(X² + Y²)
F = √(23.66² + 5²)
F = 24.2 N
The direction of the forces is calculated as;
θ = arc tan (Y/X)
θ = arc tan (5 / 23.66)
θ = 11.9⁰ ≈ 12⁰
An equilibrant force is equal in magnitude both opposite in direction to the resultant force.
Thus, the equilibrant of two forces is -24.2 N.
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suppose a car travels at a constant 10 m/s. how far would it move in 1 hour? in 1 minute? in 1 second? in 1 millisecond? in 1 microsecond? in 1 nanosecond?
Suppose a car travels at a constant 10 m/s.
using d = vt
v = 10m/s.
t d
1 hr= 3600s 3.6x [tex]10^{4}[/tex]m
1 min = 60s 6.0x [tex]10^{2}[/tex]m
1s 10m
1ms = [tex]10^{-3}[/tex] s 10 x[tex]10^{-3}[/tex]m = 10mm
1μs = [tex]10^{-6}[/tex]s 10x [tex]10^{-6}[/tex]m = 10μm
1ns = [tex]10^{-9}[/tex]s 10x [tex]10^{-9}[/tex]m = 10 nm
What is constant?something immutable or unchangeable: eg; a number having a definite value in a particular situation or universally, or a characteristic of some substance or instrument. : a number that is expected not to change value in a given mathematical discussion a term with fixed notation in logic.
A constant can be defined as a fixed value used in algebraic expressions and equations. A constant does not change over time and has a fixed value. For example, the size of a shoe, fabric or any accessory does not change at any time.
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An 0.8 kg cart rolls down a frictionless hill of height 0.32m. At the bottom of the holl the cart rolls on a flat surface., which exerts a frictional force if 2 n on the cart. How far does the cart roll on the flat surface before it comes to a stop
The distance travelled by the cart on the flat surface before it comes to a stop is 1.25 m.
What is the acceleration of the cart?
The acceleration of the cart is determined by applying Newton's second law of motion as shown below.
F = ma
a = F/m
a = 2 N / 0.8 kg
a = 2.5 m/s²
The velocity of the cart at the bottom of the hill is calculated as;
u = √2gh
u = √(2 x 9.8 x 0.32)
u = 2.5 m/s
The distance travelled by the cart before stopping;
v² = u² - 2as
where;
v is the final velocity of the cart = 0u is the initial velocity = 2.5 m/sa is the accelerations is the distance travelled2as = u²
s = u²/2a
s = (2.5²) / (2 x 2.5)
s = 1.25 m
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the frequency content of an analog signal to be digitized has a range roughly covering the range of the auditory system of a young child: 200 hz to 20,000 hz. for accurate sampling, what is the minimal sampling rate necessary for an a/d convertor?
For accurate sampling, -44.1khz is minimum sampling rate for an a/d convertor.
What is sampling rate?The number of samples per second (or other unit) taken from a continuous signal to form a discrete or digital signal. The sample rate or sample rate specifies the number of samples per second (or other unit). of a continuous signal to form a discrete or digital signal..
The sampling rate can be thought of as the audio version of frames per second. This is the number of "clips" taken from an analogue sound wave to make a digital file. In addition, the sample rate also controls the highest frequency that can be accurately reproduced by a digital file.
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a migrating robin flies due north with a speed of 12 m/s relative to the air. the air moves due east with a speed of 6.3 m/s relative to the ground.what is the robin's speed relative to the ground?
The robin's speed relative to the ground 62.3 degrees north of east, or tan(12/6.3).
How to calculate the speed relative to the ground?Think about the X-east-west axis's direction and the Y-north-south axis's direction.
V ra = 12 j m/s is the speed of a migratory robin relative to the air.
(In which "j" denotes a unit vector in the Y direction)
V ag = air speed in relation to the ground = 6.3 I m/s
(Where I is an X-direction unit vector)
V rg = speed of migratory robin in relation to the ground =
utilizing the formula
V rg = V ra + V ag
= 12 j + 6.3 I
= 6.3 I + 12 j
magnitude: (13.6 m/s = sqrt[tex](6.3)^{2}[/tex] + ([tex](12)^{2}[/tex])
direction: 62.3 degrees north of east, or tan(12/6.3).
The robin's speed relative to the ground 62.3 degrees north of east, or tan(12/6.3).
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the x, y, and z components of a magnetic field are bx = 0.088 t, by = 0.13 t, and b, = 0.15 t. a 37-cm wire is oriented along the z axis and carries a current of 3.4 a. what is the magnitude of the magnetic force that acts on this wire?
The magnitude of the magnetic force that acts on this wire is 0.2298 N.
The Magnetic Fields is an American band founded and led with the aid of Stephin Merritt. Merritt is the organization's number-one songwriter, producer, and vocalist, as well as a frequent multi-instrumentalist. A magnetic subject is the vicinity around a magnet, magnetic item or an electric powered price wherein magnetic pressure is exerted.” Huh? allow's put it this way.
The magnetic field is the location around a magnet wherein the effect of magnetism is felt. We use the magnetic field as a device to describe how the magnetic pressure is distributed within the space around and within something magnetic in nature.
Calculation:-
Magnetic field B = 0.13 i +0.13 j +0.17 k
length L = 25 k cm =0.25 km
current i = 5 A
the magnetic force acts on the wire F = i ( L X B )
F = 5 [ 0.25 k X ( 0.13 i + 0.13 j + 0.17 k ) ]
= 5 [ (0.25 *0.13) (kXi) + (0.25 *0.13) ( k X j ) + ( 0.25 *0.17 ) ( k X k ) ]
= 5 [ -0.0325 j - 0.0325 I + 0 ]
= -0.1625 I -0.1625 j
magnitude of F = sqrt [ (-0.1625)^2 + (-0.1625)^ 2 ]
= 0.2298 N
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consider a neutron star with a mass equal to the sun, a radius of 11 km , and a rotation period of 1.0 s . what is the speed of a point on the equator of the star?express your answer with the appropriate units.
At equator line the speed of the star is 69115 m/s
When a big star runs out of heat and collapses, neutron stars are created. Every proton and electron in the star's core, or most central region, fuse into neutrons as it falls. These freshly generated neutrons can stop the collapse, leaving a neutron star behind, if the core of the collapsing star is between one and three solar masses.
Radius is 11 km
Period of rotation is 1 second
Converting radius to meters:
11 km = 11 x 10^3 = 11000m
We know that the velocity relation is v = 2πr/T
v = 2 x π x r / 1
v = 2π x 11000
v = 69115 m/s
Hence the speed of the star at the equator is 69115 m/s
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the hydrogen in a star emits light at 484 nm as observed by an astronomer. which describes the motion of the star if the laboratory value of this spectral line of hydrogen is measured at 486 nm? question 9 options: approaching at 6.17 105 m/s moving away at 6.17 105 m/s approaching at 1.23 106 m/s moving away at 1.23 106 m/s
If the laboratory value of this hydrogen spectral line is detected at 486 nm, the star is moving toward us at a speed of 6.17 105 m/s.
How might Bohr's theory explain the hydrogen spectrum?In less than a year, Niels Bohr had a hydrogen atom model that "explained" the spectral lines. The energy level was a novel idea that Bohr introduced. Sharp spectral lines were released when an electron in hydrogen moved from one of its permitted energy levels, which were defined by the hydrogen atom.The wavelengths, measured from the scale, are 435 nm (purple), 486 nm (blue), and 657 nm (red).Hydrogen has numerous different energy levels while having just one electron. A photon is released when an electron in an object jumps from one energy level to another. Due to the various levels, those photons produce light with various colors and wavelengths.To learn more about Hydrogen atom model refer to:
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what are the most common finishes applied to aluminum curtain wall componets? what are the advantages of eahc
most common finishes applied to aluminum curtain wall componets is fluoropolymer paint or anodized finish.
what is advantages of finishes ?Anodizing is an electric process that forms a very thick oxide layer with integral color .
An anodized surface is very durable and can be had in many colors , although it is not generally capable of producing very bright colors .
Anodizing is commonly used to improve the corrosion resistance and wear resistance of aluminum parts. It can also provide other desirable benefits, like improved heat dissipation and the ability to accept dyes.
Unlike paints and coatings, anodizing does not apply an external product to the exterior of the aluminum. Instead, an electrochemical process is used to stimulate the naturally-occurring layer of aluminum oxide into growing thicker. This protects the underlying aluminum from its environment, and can even accept dyes. However, the color possibilities for anodizing are not as abundant as in powder coating.
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A golf ball is thrown straight up in the air at a velocity of 8.3 . Determine the maximum height of the golf ball.
(b) How long will it take the ball to reach its maximum height?
(c) How long will it take the ball to fall from its maximum height to the height from which it was initially launched?
a) The maximum height is 3.5 m
b) The time taken to reach this height is 0.85 seconds
c) The time taken to return to the original point is 0.85 seconds.
What is the maximum height?We know that the maximum height can be obtained from the use of the kinematic equations. We know that;
a) v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = maximum height attained
v= 0 /ms at the maximum height
u^2 = 2gh
h = u^2/2g
h = (8.3)^2/2 * 9.8
h = 68.89/10.6
h = 3.5 m
b) Time taken to reach the maximum height;
v = u - gt
v= 0 /ms at the maximum height
u = gt
t = u/g
t = 8.3/9.8
t = 0.85 seconds
c) The time taken to return is the same as the time taken to go up which is 0.85 seconds.
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