The wavelength needed to eject electrons with a speed of 7.21 × 10⁵ m/sec is 7.2×1014Hz.
The electron is a subatomic particle with a poor one-standard electric rate. Electrons belong to the first generation of the lepton particle family and are commonly notion to be primary particles due to the fact they don't have any recognized components or substructure.
Electrons are negatively charged debris that orbits around the out of doors of the nucleus. They spin so speedy that it can be tough for scientists to examine them. they are interested in the superb price of the protons which are the smallest debris in an atom - you may fit 2000 of them right into a proton.
The hydrogen atom, as example, has simply one electron and one proton. The uranium atom, then again, has ninety-two protons, and consequently, 92 electrons.
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A helium-filled balloon (whose envelope has a mass of mb=0.250kg) is tied to a uniform string of length ℓ=2.00m and mass m = 0.0500 kg. The balloon is spherical with a radius of r = 0.400 m. When released in air of temperature 20∘C and density rhoair=1.20kg/m3, it lifts a length h of string and then remains stationary. We wish to find the length of string lifted by the balloon. (a) When the balloon remains stationary, what is the appropriate analysis model to describe it? (b) Write a force equation for the balloon from this model in terms of the buoyant force B, the weight Fb of the balloon, the weight FHe of the helium, and the weight Fs of the segment of string of length h. (c) Make an appropriate substitution for each of these forces and solve symbolically for the mass ms of the segment of string of length h in terms of mb, r, rhoair , and the density of helium rhoHe, (d) Find the numerical value of the mass ms. (e) Find the length h numerically.
got the ans
A helium-filled balloon (whose envelope has a mass of mb=0.250kg) is tied to a uniform string of length ℓ=2.00m and mass m = 0.0500 kg. The balloon is spherical with a radius of r = 0.400 m. When released in air of temperature 20∘C and density rhoair=1.20kg/m3, it lifts a length h of string and then remains stationary. We wish to find the length of string lifted by the balloon. (a) When the balloon remains stationary, what is the appropriate analysis model to describe it? (b) Write a force equation for the balloon from this model in terms of the buoyant force B, the weight Fb of the balloon, the weight FHe of the helium, and the weight Fs of the segment of string of length h. (c) Make an appropriate substitution for each of these forces and solve symbolically for the mass ms of the segment of string of length h in terms of mb, r, rhoair , and the density of helium rhoHe, (d) Find the numerical value of the mass ms. (e) Find the length h numerically.
a 0.60 kg ball is moving horizontally with a speed of 5.7 m/s when it strikes a vertical wall. the ball rebounds with a speed of 2.7 m/s. what is the magnitude of the change in linear momentum of the ball?
We can use the following equation to solve this problem:
Δp=m∣Vi−Vf∣(Where p is the momentum change, m is mass, Vi is initial velocity, and
Vf is final velocity)
Substitute the values given to us in the question:
Δp=(0.6)∣(5.7−(−2.7)∣
Δp=4.9 kg.m/s
Final answer: 4.9kg.m/s.
The change in momentum (Δp) is defined as the change in the mass times the velocity of an object. A force is required to change the momentum of an object. This applied force can increase or decrease momentum, or even change the orientation of an object.
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a mass on a spring, moving with simple harmonic motion, vibrates with a frequency of 4.0 hz and an amplitude of 8.0 cm. if x = 8.0 cm when t = 0, find its speed when t = 3 s.
The speed at t = 3 sec is 0.025 meter
What is simple harmonic motion ?Simple harmonic motion is described as a periodic motion of a point along a straight line, such as its acceleration is constantly towards a given point in that line and is proportional to the distance point .
According to the given information
For Simple Harmonic Motion of mass m on spring with spring constant K
The frequency of SHM is given by
f = [tex]\left(\frac{1}{2 \pi}\right) \sqrt{\frac{k}{m}}[/tex]
Rearranging
[tex]& \left(f^2\right)(2 \pi)^2=\frac{k}{m} \\[/tex]
[tex]& k=m\left(f^2\right)(2 \pi)^2[/tex]
Substituting
[tex]& k=(0.2 \mathrm{~kg})(4.0 \mathrm{~Hz})^2(2 \pi)^2[/tex] \\
[tex]& k=(0.2 \times 4.0 \times 4.0 \times 4 \times \pi \times \pi) \\[/tex]
[tex]& k=126.33 \mathrm{~N} \cdot \mathrm{m}^{-1} \\[/tex]
[tex]& k \approx 126 \mathrm{~N} \cdot \mathrm{m}^{-1} \\[/tex]
At t = 0 amplitude is maximum
Simple Harmonic Motion is of the form
x=A [tex]\cos (\omega x)[/tex]
At t = 0 s , x = A =[tex]8 \mathrm{~cm}$[/tex]
When t = 3 s
x = [tex](8 \mathrm{~cm}) \cos [(\omega)(3)][/tex]
Given
[tex]f=4 \mathrm{~Hz} \\[/tex]
[tex]& \omega=2 \pi f \\& \omega=2 \pi(4 \mathrm{~Hz}) \\& \omega=8 \pi \mathrm{Hz}[/tex]
Substituting the above values
[tex]& x=(8 \mathrm{~cm}) \cos [(8 \times 3.14)(3)] \\& x=(8 \mathrm{~cm}) \cos [92.99 \mathrm{rad}] \\& x=(8 \mathrm{~cm})(0.309) \\& x=2.47 \mathrm{~cm} \\& x=2.5 \times 10^{-2} \mathrm{~m} \\\left \{ {{y=2} \atop {x=2}} \right.[/tex]
x = 0.025 meters
The speed at t = 3 sec is 0.025 meter
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how much faster does a climber on top of the mountain move than a surfer at a nearby beach? the earth's radius is 6400 km .
The person at the top of the mountain is faster than the person at the beach by 22cm/s.
When the object is oscillating about the origin, repeatedly going left and right by identical amounts it has a time period T where the period T is the time required for one complete oscillation or cycle. The angular frequency ω is related to the period of the motion by an equation in the form
ω[tex]=\frac{2\pi }{T}[/tex]
Where T is the period of the earth. The period of the earth to complete one cycle is 24 hours, so it is in seconds given by
T = [tex]( 24 h)\frac{3600 s}{ 1 h}[/tex] = 86.4 × 10³ s
Now, we plug the value for T into equation (1) to get ω into rad/s
ω [tex]=\frac{2\pi }{T} \\[/tex]
ω = [tex]\frac{2\pi }{86.4 * 10^{3} s}[/tex]
ω = 7.27 × [tex]10^{-5}[/tex] rad/s
Both persons at the beach and at the top of the mountain have a velocity that is tangent to the circle of motion, and its acceleration is called centripetal acceleration. Any object on earth has angular velocity ω and a tangential speed v and they are related to each other by an equation in the form
v = ω r
Where r is the radius of the circle of the motion.
For the person at the beach, its radius of motion is the same as the radius of the earth r = R while for the person at the top of the mountain its radius of motion is [tex]R_{E}[/tex] + 3000
[tex]v_{Beach}[/tex] = ω[tex]R_{E}[/tex]
= [tex]( 7. 27 * 10^{-5} rad/s ) (6400 * 10^{3} )[/tex]
= 465.280 m/s
[tex]v_{Mountain}[/tex] = ω[tex](R_{E} + 3000)[/tex]
= [tex]( 7.27 * 10^{-5} rad/s) ( 6400 * 10^{3} + 3000m )[/tex]
= 465.498 m/s
As shown by the results, the person at the top of the mountain has a fast speed. The difference between both velocities is expressed by
Δv =[tex]v_{Mountain}[/tex] - [tex]v_{Beach}[/tex]
= ( 468.498 - 465.280) m/s
= 0.22 m/s
= 22 cm/s
Hence, The person at the top of the mountain is faster than the person at the beach by 22cm/s.
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The complete question is:
A 3000-m-high mountain is located on the equator. How much faster does a climber on top of the mountain move than a surfer at a nearby beach? The earth’s radius is 6400 km.
in which scenario would strict liability most likely apply? an airplane's brakes fail in freezing weather. a dishwasher fails to fully clean the dishes. a lightbulb burns out prematurely. a car's radio sometimes stops working.
The scenario "An airplane's brakes fail in freezing weather" is considered under strict liability.
Strict liability is a concept used in both civil and criminal law that holds a defendant accountable for their actions regardless of their intent at the time the action is committed.
It means that someone could be held responsible for a result that they did not intend.
In other words, regardless of criminal intent or possible negligence, a person is strictly liable simply by engaging in certain behaviours.
In business, strict liability refers to when liability is not based on negligence or intent to harm. For example, if you were the headmaster of a public school and hired a teacher with no teaching degree or experience, and that teacher made a mistake and the school was sued, you would be held completely liable.
Thus, from the given statements, the statement " an airplane's brakes fail in freezing weather." should apply for strict liability.
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Identify the shield shaped top of the stemum. View Avallable Hint(s)
O Xiphoid Process
O Manubrium
O Gladiolus
O Body
Submit Part B
Name the type of connective tissue that anchors the ribs onto the sternum. View Available Hint(s) Dense regular connective tissue Hyaline cartilage Elastic cartilage Fibrocartilage Submit Part C Which facial bones makeup the central portion of the bridge of the nose? ► View Available Hint(s)
O Lacrimal
O Maxillary
O Nasal
O Zygomatic
Submit Part D
What is the anatomical name for the facial bones known as "cheekbones"? View Available Hint(s)
O Maxillary bones
O Nasal bones
O Lacrimal bones
O Zygomatic bones
Submit MacBook Air Part E
Which facial bones fuse to form the upper jaw? View Available Hint(s)
O Zygomatic
O Maxillary
O Nasal
O Lacrimal
Submit Part F
Identify the small facial bones found in the medial wall of the orbit. View Available Hint(s) Inferior nasal concha Zygomatic Palatine Lacrimal Submit Part G Part G Which facial bones form the roof of the mouth?
O Ethmoid bone
O Zygomatic bone
O Mandible
O Maxillary bones
O Palatine bones
Submit Request Answer
a)Body b) Maxillary c) Zygomatic bones d) Maxillary e) Ethmoid bone
A pair of diamond-shaped, atypically formed bones called the zygomatics extend laterally to produce the prominence of the cheeks, a section of the lateral wall, the orbit floor, and a portion of the temporal and infratemporal fossa. The jaw and bones close to the ears, forehead, and skull are joined to the zygomatic bones, which also assist in giving shape and structure to the face. In addition to offering an attachment for jaw-moving muscles, they shield the nerves and blood vessels that pass through the face. referred to as the cheekbone. The temporal bone at the side of the head curves around to meet the maxilla (upper jawbone) in front, forming the zygomatic arch, a bridge of bones that includes the zygomatic (cheek) bone as a significant section.
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Since v = lambda f, the speed v of a wave depends on its wavelength lambda. True False
False, Since v = lambda f, a wave's velocity v is independent of its wavelength lambda. mainly because the medium's characteristics affect the wave's speed.
For instance, the elastic and inertial properties of the medium affect the wave's speed for a mechanical wave. Wavelength Simply said, the wavelength is the separation between the wave crests. Additionally, a wide variety of objects move in waves of varying sizes, including light, air, water, strings, and air (which are all types of waves). In addition, we use the Greek symbol lambda to denote the wavelength of the wave (). But most people are unaware that there is a formula used to calculate wavelength.
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a certain type o f elementary particle travels at a speed of 2.60x10^8 m/s at this speed the average lifetime is measured to be 4.76x10^-6s. what is the particle's lifetime at rest?
The particle's lifetime distance at rest is 1.2376 m.
Here, the particle's lifetime refers to the the distance in speed formula
Speed is the measure of average distance in a given time. It is the vector quantity.
The distance can be calculated by the product of speed and the time given.
Here, in this question, the total distance a certain elementary particle has traveled in its lifetime.
This can be determined by merely multiplying the speed with the lifetime of years.
Given,
Speed = 2.6×10⁸ m/s
Time = 4.76×10⁻⁶ s
Speed = distance / time
Distance = speed * time
Total distance = (2.6×10⁸ m/s)*(4.76×10⁻⁶ s)
Total distance = 1.2376 meters
Therefore, the distance travelled by the particle with the speed of 2.6×10⁸ m/s in the lifetime is 1.2376 m
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a car is driving straight toward a sheer vertical wall. the driver presses on the horn, which produces sound at 580 hz, and between the sound from the horn and the sound reflected from the wall, hears a beat frequency of 32 hz. how fast is the car moving, assuming that the speed of sound is 338 m/s?
The Speed of the car that has beat frequency is 23.1m/s.
A car is moving directly toward a vertical, sheer wall. The driver depresses the horn, which emits sound at a frequency of 580 Hz, and hears a beat frequency of 32 Hz between that beat frequency and the sound reflected off the wall.
The apparent shift in the frequency of the light that the observer perceives as a result of relative motion between the source of the light and the observer is known as the Doppler effect of light.
However, for sound waves, the equations for the Doppler shift vary significantly depending on whether the source, the observer, or the air is moving.
Light doesn't need a medium to travel, and the observer and source's relative speeds are the only factors that affect the Doppler shift for light traveling in a vacuum.
[tex]v=\frac{Vx}{Vx-Vy} f[/tex]
580 x 22/580-32=23.1m/s
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Receptacle is defined as a point in
the electrical system where
electrical energy is
A. Uninstalled
C. Installed
B. Supplied for electrical use
D. Supplied for direct wiring
Receptacle is defined as a point in the electrical system where electrical energy is Installed.
What is receptacle?The Latin term receptaculum, which denotes a location to receive and keep items, is the source of the English word "receptacle."
Receptacles and electrical outlets are types of sockets that are used to create an electrical connection between a power source and an electronic device.
There are several different types of outlets, including two-pronged outlets, grounded outlets, tamper-resistant outlets, arc fault circuit interrupter outlets, surge suppression outlets, and USB outlets.
According to Section 210.52 of the US National Electrical Code, every kitchen, bedroom, living room, family room, and other room with a designated living area must have an electrical outlet. They must be placed at intervals of no less than twelve feet along the floor line.
Correct option: (B) Installed
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The op amp in the circuit in Fig. P5.1 is ideal. a) Label the five op amp terminals with their names. b) What ideal op amp constraint determines the value of tn? What is this value? c) What ideal op amp constraint determines the value of (vp−vn)? What is this value? d) Calculate vc
The value of (vpvn) depends on the open loop voltage gain of an ideal op amp. The difference in voltage that appears across the op amp's inverting and non-inverting terminals is limited to 0 V by the infinite open loop voltage gain of an ideal op amp. Therefore, vpvn=0 V has the value it does.
What does the op-amp voltage equation mean?
vd = VO/A is a formula that is created by dividing the output voltage by the op-amp gain. For instance, an op-amp with a gain of 100000 needs a differential input voltage of at least 50 volts in order to output 5 volts.
What is the op-amp equivalent circuit?
Figure 2 depicts the analogous circuit model of an op-amp. The differential input voltage, Vi = Vp Vn, determines the voltage. The device's input resistance (Ri) and output resistance (Ro) are one and the same. The open loop gain is the name given to gain parameter A.
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what would happen to the planets in a solar system where the central star did not have a strong wind?
The planet's orbits would move inward due to the drag that the gas inside the solar nebula would cause.
A planet's orbit may alter as a result of gravitational collisions with several planetesimals. The buildup of angular momentum transfers during contacts between planetesimals and a planet leads to planetesimal-driven migration.
Although the dust & gases inside a nebula are widely dispersed, gravity can start to gradually gather some of the gas and dust clumps. These clusters' gravitational pull increases as they become larger and larger. The mass of gas and dust eventually grows so large that gravity causes it to collapse.
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Collisions in Saturn’s Rings : Each of the particles in the densest part of Saturn’s rings collides with another particle about every 5 hours. If a ring particle survived for the age of the solar system, how many collisions would it undergo ?
The ring particle would undergo roughly 8.3 trillion collisions over that period of time.
The age of the solar system is estimated to be 4.6 billion years. This means that a ring particle would undergo roughly 8.3 trillion collisions over that period of time. To calculate this number, we can use the following formula:
Number of collisions = Time (in hours) / Time between collisions (in hours) x Number of years
Number of collisions = 4.6 x 109 (years) x 24 (hours/day) x 365.25 (days/year) / 5 (hours)
Number of collisions = [tex]8.3 * 10^{12}[/tex] (collisions)
Therefore, the number of collisions in the ring are
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Help me in this question it is science
Answer:
13=c
14=a
other question=d
why is it i can see the north star visible in the same location 24 hours a day?
It makes a fairly small circle over the course of a day since it is so close to the celestial equator. As a result, Polaris is a trustworthy indicator of the north since it always remains in nearly the same location in the sky.
Why do I always notice the same star in the same place?The stars move continuously and are not fixed. When the daily arcing motion of the stars across the sky caused by the rotation of the earth is taken into account, you are left with a pattern of stars that appears to remain constant.
Does it seem as though the North Star is stationary in the night sky?The star in the middle of the star field, Polaris, appears to be stationary. Polaris sits almost straight under the equator, hence this star is said to move the least. Due to Earth's rotation on its axis, the other stars seem to move in arcs.
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Question 3(Multiple Choice Worth 5 points)
(01.04 LC)
Which of the following is true regarding stereotypes and their impact on child development?
Both positive and negative stereotypes can have an impact on children.
Children will always strive to live up to stereotypical expectations.
Children will feel like they are better than everyone else based on stereotypes.
Stereotypes usually have no long-lasting impact on children and their growth.
The following which is true regarding stereotypes and their impact on child development is that both positive and negative stereotypes can have an impact on children and is therefore denoted as option A.
What is Development?This is referred to as a specified state of advancement or growth and is influenced by different types of factors such as genetic, environment etc.
Stereotypes have an impact on children such that both positive and negative stereotypes can have an impact on children which is why care should be taken in this scenario and is the reason why it was chosen as the correct choice.
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on a snowy day, when the coefficient of friction μs between a car's tires and the road is 0.50, the maximum speed that the car can go around a curve is 14 mph.
The maximum speed that the car can go around a curve is 14 mph is 28.1 mph.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.
The force of friction acting on the car provides the centripetal force that keeps the car in circular motion around the curve, so we can write:
[tex]F=\mu m g=m \frac{v^2}{r} \text { (1) }[/tex]
where
[tex]$\mu$[/tex] is the coefficient of friction
[tex]$\mathrm{m}$[/tex] is the mass of the car
[tex]$\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2$[/tex]is the acceleration due to gravity
[tex]$\mathrm{V}$[/tex] is the maximum speed of the car
r is the radius of the trajectory
On the snowy day,
[tex]$$\begin{aligned}& \mu=0.50 \\& v=20 \mathrm{mph}=8.9 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
So the radius of the curve is
[tex]r=\frac{v^2}{\mu g}=\frac{(8.9)^2}{(0.50)(9.8)}=16.1 \mathrm{~m}$$[/tex]
Now we can use this value and re-arrange again the eq. (1) to find the maximum speed of the car on a sunny day, when [tex]$\mu=1.0$[/tex]. We find:
[tex]v=\sqrt{\mu g r}=\sqrt{(1.0)(9.8)(8.9)}=12.6 \mathrm{~m} / \mathrm{s}=28.1 \mathrm{mph}$$[/tex]
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in an ac circuit, why is the average power for an inductor and a capacitor zero, but not for a resistor?
In a capacitor, no energy is lost because the capacitor alternately stores charge and then gives it back again.
In alternating current (AC) circuits, instead of a constant voltage supplied by a battery, the voltage oscillates in a sine wave pattern, varying with time as V = Vo sin ωt.Consider now a circuit which has only a capacitor and an AC power source (such as a wall outlet). A capacitor is a device for storing charging. It turns out that there is a 90° phase difference between the current and voltage, with the current reaching its peak 90° (1/4 cycle) before the voltage reaches its peak. Put another way, the current leads the voltage by 90° in a purely capacitive circuit.CV = Q relationship between current and the flow of change: I = ∆Q/∆tThe AC power supply produces an oscillating voltage. We should follow the circuit through one cycle of the voltage to figure out what happens to the current .In a capacitor, no energy is lost because the capacitor alternately stores charge and then gives it back again.To know more about circuits visit:
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A person is lung pressure as recorded by a mercury manometer is 90mmHg . express this pressure in SL units
When we convert 90 mmHg of presure to it's SI units, the result obtained is 11999 Pa
How do I convert 90 mmHg to SI unit of pressure?To convert 90 mmHg to SI unit of pressure, must bear in the mind the SI unit of pressure.
From the system of international (SI) unit, we understood that the SI unit of pressure is Pascal (Pa)
Now, we shall convert 90 mmHg to SI unit of pressure (i.e Pascal) as illustrated below:
Pressure (in mmHg) = 90 mmHgPressure (in Pascal) = ?From conversion identities,
760 mmHg = 101325 Pa
Therefore,
90 mmHg = (90 mmHg × 101325 Pa) / 760 mmHg
90 mmHg = 11999 Pa
Thus, we can conclude that 90 mmHg to SI unit of pressure is 11999 Pa
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Your subjective belief about your ability to meet the demands of a particular situation is called:
displacement.
self-efficacy.
sublimation.
self-actualization.
Your subjective belief about your ability to meet the demands of a particular situation is called b) self-efficacy.
In the field of English, self-efficacy can be described as a term that is used when a person has trust in his abilities and is efficient enough to perform a task correctly and in an efficient manner.
The self-efficacy of a person is determined by the self-assurance ability of the person, his confidence in himself, and the particular tasks that are assigned to him.
Self-efficacy occurs when a person has a subjective belief in himself that he can perform a task in an efficient manner and is confident about it.
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a star's color tells us ... question 8 options: its rotational speed. how much energy a star produces. both how much energy it produces and its surface temperature. its surface temperature.
A star's color mostly indicates its surface temperature. However, it could also be used to estimate the age of the star.
There are several types of stars according to their colors which include the following;
O-class starsM-class starsB-class starsA-class starsF-class starsG-class starsThe O-class stars are often blue in color and they are the hottest while the M-class stars are red in color and their temperatures are very low compared to the others, making them the coldest type of stars.
The color of the star is not a major factor in the estimation of the age of the star though it could be used sometimes.
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a force of 15n is used to push a box along the floor distance of 3 meters. find the amount of work done
Answer:
to find the amount of work done, you need to calculate the force applied to the box times the distance over which it is applied. In this case, the force applied to the box is 15N and the distance over which it is applied is 3 meters, so the amount of work done is 15N * 3m = 45N*m.
Explanation:
It's important to note that work is a scalar quantity, not a vector quantity. This means that it has only magnitude and no direction. The direction of the force applied to the box and the direction of the displacement of the box are not relevant in calculating the amount of work done.
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]F=15N[/tex]
[tex]d=3m[/tex]
[tex]w=?[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=15\times3[/tex]
__________________________________________________________
[tex]\fbox{w = 45J}[/tex]
what is the frequency of an electromagnetic wave that has the same wavelength as a 1.9 khz sound wave in water? express your answer with the appropriate units.
The wavelength of the electromagnetic wave is 1.58 * 10⁵m. Electromagnetic radiation is made up of electromagnetic field waves that travel through space carrying electromagnetic radiant energy.
Because of their diverse origins and effects on matter, electromagnetic waves of varying frequencies are given different names. Microwaves, radio waves, visible light, ultraviolet radiation, infrared radiation, X-rays, and gamma rays are in the order of increasing frequency and decreasing wavelength.
The relation between the wavelength, frequency, and speed is as follows:
ν = λf
Here, the speed of the electromagnetic wave is ν
Rearrange the above expression to get λ
λ = ν / f
The speed of electromagnetic waves in a vacuum is 3 * 10⁸ m/s.
Substitute 1.9kHz for f and 3 * 10⁸ m/s for ν in the above expression.
λ = ν / f
λ = ( 3 * 10⁸ m/s) / 1.9kHz
λ = ( 3 * 10⁸ m/s) / 1.9kHz (10³ Hz/ 1kHz)
λ = 157894 m
λ = 1.58 * 10⁵m
Thus, the wavelength of the electromagnetic wave is 1.58 * 10⁵m.
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on a frictionless surface, a sliding box collides and sticks to a second identical box that is initially at rest. what is the final kef of the system in terms of the initial kei?
Pn a frictionless surface, when a sliding box xollides and sticks to a second indetical box that is initilly at rest, the final kinetic energy (KEf) of the system is 1/2 of the initial kinetic energy (KEi)
Kinetic energy is energy that occured because an object is moving. Kinetic energy is determined based on an object's mass and velocity. Kinetic energy is formulated as:
KE = 1/2 mv²
Since boxes are colliding, conservation of momentum is happening in the system. Conservation of momentum states that the total momentum of a system remains constrant. Momentum is the result of multipication between an object's mass and velocity. Hence, the conservation of momentum could be formulated as:
P = P
P = m.v
Δm.v = Δm'v'
Based on the case, we know that:
v1 = v
v2 = 0 --> second box is initially at rest
m1 = m2 = m
The initial kinetic energy of the system is:
KEi = KE1 + KE2
KEi = 1/2m.v² + 1/2m(0)
KEi = 1/2mv² ...(i)
Because both boxes collide, we can use the conservation of momentum to find the final velocity of both boxes:
m1v1 + m2v2 = (m1+m2)v'
m.v + m(0) = 2mv'
mv = 2mv'
v' = 1/2v ...(ii)
We can find that the final kinetic energy is:
KEf = KE1' + KE2'
KEf = 1/2m.v'² + 1/2m.v'²
KEf = m.v'² ... (iii)
We could subtitute the equation (ii) into equation (iii)
KEf = m.(1/2v)²
KEf = 1/4m.v² ...(iv)
If we subtitute the equation (i) into equation (iv), we get:
KEf = 1/2KEi ... (v)
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an l-c circuit has an inductance of 0.380 h and a capacitance of 0.300 nf . during the current oscillations, the maximum current in the inductor is 1.20 a . part a what is the maximum energy emax stored in the capacitor at any time during the current oscillations? express your answer in joules.
0.08664 J is the maximum energy stored in the capacitor at any time during the current oscillations.
What is Electromagnetic Oscillation ?Within an LC circuit oscillates back and forth between the electric fields of the capacitor and the magnetic field of the inductor. This oscillation is known as electromagnetic oscillation.
Energy stored in the IC oscillations is
E= 1/2 LI²
Here,
Inductance (I) = 1.2 A
Capacitance (L) = 0.380 H
Now put the values in above formula, we get the energy as
[tex]E_{max} = \frac{1}{2} \times 1.2 \times (0.380)^2[/tex]
= 0.5 × 1.2 × 0.1444
= 0.08664 J
What is capacitance?
Capacitance is the capability of a material object or device to store electric charge. It is measured by the change in charge in response to a difference in electric potential, expressed as the ratio of those quantities.
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a block of ice at 0 is sliding on a horizontal surface. the inital speed of the ice is 7.90 and the final speed is 3.80. determine mass of ice that melts
Given, mass of block 30kg, initital velocity 6.1m/s, final velocity=4.5m/s, change in kinetic energy= mvi^2/2-mvi/2- mvf2/2, KE= 254.4J change in KE= heat generated by friction L=3.4*10^5J/kg, 254.4= m*3.4*10^5, m=0.748gm.
In physics, how do you solve for mass?There are numerous methods for calculating an object's mass, including:
Mass Equals volume * density (m = V). The mass of an object can be calculated by multiplying its density by its volume because density is a measure of mass per unit of volume. Mass equals force times acceleration (m=F/a). Gravitational acceleration and mass are equal (m=W/g).
What is the center of mass formula?Center of Mass in a System of Two Particles (m1+m2) rcm equals (m1 r1+m2 r1). The sum of the products of the masses of the two particles and their respective position vectors equals the product of the total mass of the system and the position vector of the center of mass.
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Would someone PLEASE HELP ME
Acceleration of this helicopter is: 7 m/sec².
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, although velocity is a vector, speed is a scalar quantity.
Given that,
Initial Speed :- 25 m/s
Final Speed :- 60 m/s
Time :- 5 sec
Now by using motion equation ..
v = u + at
60 m/sec = 25 m/sec + (a × 5 sec)
or, 5a = 60 - 25
or, a = 35m/sec /5 sec
or, a = 7 m/sec²
Thus, acceleration of this helicopter is: 7 m/sec².
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Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by a. gravitational collapse. b. fusing hydrogen into helium in the core. c. fusing hydrogen into helium in a shell around the core. d. degenerate-electron pressure.
Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by fusing hydrogen into helium in the core. The correct answer is B.
In the universe, hydrogen fusion is the most common way to produce energy. At the centers of our Sun and other stars, where it has a density more than 70 times greater than that of steel, the gravitational force is used to fuse hydrogen. As a result, fusion produces all of the heat and light on Earth so the temperature increase. Stars begin burning helium to carbon when the temperature rises in the core. Chemical element helium has the atomic number 2 and the letter He after it. It is a colorless, odorless, tasteless, inert, monatomic gas that is the first member of the noble gas group in the periodic table and is not toxic.
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if you double the radiating surface area of a star while keeping its temperature constant, its power output increases by a factor of
A star's power output doubles when its radiating surface area doubles while its temperature remains constant.
Relation between power output and radiating surface area:When referring to black body radiation, however, Wikipedia maintains that the radiation released is proportionate to the surface. If you increase the surface area, the radiation will also double.
If you consider a radiator (the sun, a lightbulb, etc.) to have constant power (for example, 60 W), you could indeed increase its surface in just about any way you like, provided the material just diffracts radiation rather than absorbing it. However, the power it emits will never change; it will always be, for example, 60 W. Simply put, this is energy conservation. It is not a temperature issue.Thus, a star's power output doubles when its radiating surface area doubles while its temperature remains constant.
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which electromagnetic radiation wavelength is efficiently observed using ground based telescopes? a. radio b. infrared c. visible d. X-rays.
Radio is the electromagnetic radiation wavelength is efficiently observed using ground based telescopes. Option A.
What is meant by electromagnetic radiation?In terms of physics, electromagnetic radiation is made up of electromagnetic field waves that travel over space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, light, and radio waves. These waves are all a component of the electromagnetic spectrum.
The energy levels of electromagnetic radiation can range from low to high. It consists of x-rays, gamma rays, infrared light, visible light, ultraviolet light, radio waves, and microwaves.
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