The subsequent portions factor withinside the equal route because the alternate in linear momentum of an object is impulse.
Momentum is mass in motion, and any transferring item will have momentum. An item's alternate in momentum is same to its impulse. Impulse is a amount of pressure instances the time interval. Impulse isn't always same to momentum itself; rather, it is the growth or lower of an item's momentum. Impulse is a vector amount that has the equal route because the pressure.
Momentum and impulse have the equal units: kg·m/s.The impulse skilled with the aid of using the item equals the alternate in momentum of the item. In equation form, F • t = m • Δ v. In a collision, gadgets revel in an impulse; the impulse reasons and is same to the alternate in momentum.
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: calculate the minimum voltage vin needs to be in order to saturate the bipolar junction transistor in the following circuit, and then determine the voltage v when the vin is at that minimum voltage, given: vs
Transistor switches may be used to turn a DC minimal device (like LEDs) ON or OFF by employing a transistor in its saturated but also cut-off states.
What do you understand by Circuit?Electronics, a circuit is a completely circular conduit through which electricity travels. A simple circuit consists of a current generator, conductors, and a load. In general, a circuit may be thought of as any predetermined path that electricity follows.
A physics circuit: What does that mean?A circuit is a closed circuit in which particles can travel. An electrical source, such a battery, provides electricity to the circuit. Until the circuit is complete, that is, it makes a full circuitous return to the electrical source, no electrons will move.
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The kinetic energy correction factor for laminar flow in a circular pipe is:
A 1.23
B 1.54
C 2
D None of these
For laminar flow in a circular pipe, the kinetic energy correction factor is 2
Kinetic energy correction factors for different cases are as follows:
1. For laminar flow in circular pipe =2
2. For laminar flow between parallel plates =1.543
3. For turbulent flow in circular pipe = 1.03-1.06
Laminar flow in fluid dynamics is characterized by fluid particles traveling in layers along clean routes, passing each other without much or any mixing between them. Adjacent layers glide past one another like playing cards when the fluid is moving at moderate speeds because it prefers to flow without lateral mixing. No fluid eddies, swirls, or cross-currents parallel to the flow direction exist. Laminar flow is characterized by relatively ordered fluid particle motion, with particles near a solid surface traveling in straight lines parallel to that surface. High momentum diffusion and low momentum convection are characteristics of laminar flow.
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calculate the force of gravity on a 1-kg mass at earths surface. the mass of eart is 6 x 10^24, and its radius is 6.4 * 10^6
The force of gravity on a 1-kg mass at earths surface is 9.77 N
The formula for the force of gravity is:
F = G Mm/r²
Where, in this case
G = constant of gravity = 6.674 x 10⁻¹¹ N.m²/kg²
M = mass of earth = 6 x 10²⁴ kg
r = radius of earth = 6.4 x 10⁶ m
m = mass of object = 1 kg
Plug these parameters into the formula:
F = 6.674 x 10⁻¹¹ x 6 x 10²⁴ x 1 / ( 6.4 x 10⁶)²
= 40 x 10¹³ / (40.96 x 10¹²
= 9.77 N
Hence, the force of the gravity, or the weight, of a 1-kg mass is 9.77 N
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what is the wavelength of the light when it was emitted from the galaxy when the universe was only about 4 billion years old?
The exact wavelength of the light would depend on the type of light being emitted from the galaxy. However, it is likely that the light would have a wavelength in the range of ultraviolet (UV) to near-infrared (NIR).
What is wavelength?
A waveform signal that is propagated in space or along a wire has a wavelength, which is the separation between two identical points (adjacent crests) inside the adjacent cycles. This length is typically specified in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm). The wavelength is more frequently specified throughout nanometers (nm), that are units of 10-9 m, as well as angstroms (), which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation ().
Frequency, which is defined as the quantity of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency.
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at an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/sj/s , what is the speed of the bar?
At an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/s , the speed of the bar is 25.88m/s
What is Faraday's law?The fundamental property of electromagnetism known as Faraday's law, commonly referred to as "Faraday's law," aids in our ability to predict how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). Electromagnetic induction is the term for this phenomenon.
The electromagnetic induction rules were put forth by Michael Faraday in 1831. The observation or findings of Faraday's experiments are known as the law of electromagnetic induction or Faraday's law. To understand electromagnetic induction, he conducted three key experiments.
There are two laws in Faraday's Laws of Electromagnetic Induction. The induction of emf in a conductor is described by the first law, and the emf that is created in the conductor is quantified by the second law.
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(b) how long after closing the switch will it take for the stored energy in the solenoid to reach one-half of its maximum value?
[tex]1.73×10^-5[/tex] s after closing the switch will the current through the inductor reach one-half of its maximum value.
What type of electric current is it?Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). The more electricity flowing across the circuit, the higher the ampere value.
What is the current flow?While electrons move from negative to positive, current moves from positive to negative. The quantity of electrons that flow through a conductor's cross section in a second defines current. The unit of measurement for current is the ampere, abbreviated "amps." The letter "A" is used to represent amps.
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Part A When setting up projectile motion questions, which of the following characteristics of projectile motion are important to keep in mind? Check all that apply. Projectile motion is the motion of an object that moves in two dimensions under the influence of gravity and air resistance. Although the horizontal and vertical motions of a projectile are independent, they are connected through the time At that the object is in the air. Projectile motion is made up of two independent motions: uniform motion at constant velocity in the horizontal direction and free-fall motion in the vertical direction.
Projectile motion is the motion in which a body moves in two-dimensional.
Options 2 & 3 are important to keep in kind while working on projectile motion.
Projectile motion is a type of motion that an item or particle (a projectile) experiences when it is launched into a gravitational field, such as from the surface of the Earth, and moves along a curved route only under the influence of gravity. Most calculations make the assumption that air resistance has passive and minimal effects in the specific scenario of Earthmoving like a projectile. Galileo demonstrated that the curved path of objects in projectile motion is a parabola, while it is possible that it might also be a straight line when the object is hurled directly above. Ballistics is the study of such motions, and this trajectory is a ballistics trajectory. Gravity is the only force acting on the item that has any mathematical meaning.
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What is the energy of a single photon of light that has a frequency of 2. 30 × 10^17 hz?.
The energy of a single photon of light that has a frequency of 2. 30 × 10^17 hz is E=1.52×10⁻¹⁸J.
Use the formula E=hv.
E=energy of photon
h=Planck constant=6.626×10⁻³⁴
v=frequency of photon
We can plug in what we know:
E=(6.626×10⁻³⁴)( 2. 30 × 10^17)
Plug this into your calculator:
E=1.52×10⁻¹⁸J
Where energy E is measured in J, or joules.
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what is the ratio of the volume of the bubble as it reaches the surface ( vs ) to its volume at the bottom ( vb )?
The ratio of volumes of the bubble is Vs/Vb= 3.74
How do you find the ratio of the volume ?Divide the entire surface area by the total volume to determine the volume ratio. The surface area to volume ratio is another name for this. It's crucial that the volume and surface area measurements use the same units. If the surface area is specified in square feet, for instance, the volume must be measured in cubic feet.The quantity of surface area per unit volume of an item or group of objects is known as the surface-area-to-volume ratio, sometimes known as the surface-to-volume ratio and variably abbreviated as sa/vol or SA:V.The density of an object is the ratio of the mass to the volume of that thing. By dividing an object's mass by its volume, density is determined.Find the attachment answer
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the two blocks in (figure 1) are connected by a massless rope that passes over a pulley. the pulley is 15 cm in diameter and has a mass of 2.1 kg. as the pulley turns, friction at the axle exerts a torque of magnitude 0.70 nm.If the blocks are released from rest, how long does it take the 4.0 kg block to reach the floor?
The time needed for the block to reach the floor is 1.16 seconds that can be calculated by using the kinetic equation.
The tension for both the masses will be different. But the blocks will have the same acceleration.
Now, the tension in the 4.0 kg block is
T₂ = 4.0 kg (a - g)
Similarly, in the 2.0 kg block
T₁= 2.0 kg (a + g)
Consider the pulley as a solid disc. The rotational inertia about its axis is
I = 1/2 m R²
Here, mass of the pulley is m and radius of the pulley is R.
Now, the net torque acting on the pulley is
T₂R - T₁R = I \alpha
Here, torque due to the friction in the pulley is \tau and angular acceleration of the pulley about its axis is \alpha
2.0 kg (a + g) R - 4.0 kg (a - g) - \tau = 1/2 m R2 x a/R
a = {gR (4.0 kg - 2.0 kg) }- \tau / R (4.0 kg + 2.0 kg + m/2)
Substitute 9.8 m/s² for g, 6.5 cm for R, 0.60 N m for \tau and 2.0 kg for m in the above equation
a = {gR (4.0 kg - 2.0 kg)} - \tau / R (4.0 kg + 2.0 kg + m/2)
= {(9.8 m/s²)(6.5 cm)(1 m/ 100 cm) (4.0 kg - 2.0 kg) - 0.60 N m} / (6.5 cm (1 m/ 100 cm) (4.0 kg + 2.0 kg + 2.0 kg/2)
=1.48 m/s2
The height of the 4.0 kg block above the floor is
y = 1.0 m
Thus, using kinetic equation the time can be calculated as follows:
t=(2y/a)^1/2
t=((2*1m)/(4.8 m/s²))^1/2
t=1.16 s
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A 45 lb (20 kg) child i having a temper tantrum in the middle of Wal-Mart. If the boy i itting on the floor and hi parent i pulling him up with a force of 150 N, what i the normal force on the boy?
The normal force on the boy would be 150 N.
What is force?
A force is indeed an influence that can alter an object's motion in physics. A force can cause an object to mass to change its velocity, or accelerate (for example, moving from a state of rest). An intuitive way to describe force is as a push or a pull. A force is a vector quantity because it has both magnitude and the direction. It is computed using the SI unit of newton (N). F is used to represent force (formerly P). The net force acting on an object is proportional to the frequency at which its momentum changes over time, according to Newton's second law in its original formulation. This law suggests that an object's acceleration is directly proportional to the total force acting on it if the object's mass remains constant.
The normal force on the boy is equal to his weight, or 45 lbs (20 kg). This is because the normal force is the force that the surface exerts on the object, in this case the boy, to prevent him from sinking or moving. The force of 150 N applied by the parent does not affect the normal force on the boy; it just provides the force to lift him up.
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whats an energy creation that connects to deforestation?
a point source of light illuminates an aperture 2.00 mm away. a 13.0 cmcm -wide bright patch of light appears on a screen 2.00 mm behind the aperture.
A point source of light illuminating an aperture is 2 mm away. A 13 cm wide bright patch of light appears on a screen 2 mm behind the aperture. The width of the aperture is 6.5 cm.
The formula for determining the width of the aperture is given by
D = f/N
where, D is diameter
f is focal length
N is f-number or wideness
DN = f
N = f/D
Given that, f = 13 cm = 130 mm
D = 2 mm
N = 130/2 = 65 mm = 6.5 cm
Thus, the width of the aperture is 6.5 cm.
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Why does an empty paper plate not heat up in the microwave electromagnetic?.
This is because the microwave oven heats the food by heating the water molecules that compose it.
This is achieved by increasing the vibration amplitude of the water molecules and their kinetic energy, therefore, increasing their temperature.
So, if the element that gets into the microwave oven does not contain water (as is the case of an empty paper plate), it will not heat up.
Therefore, this is all about the transfer of energy. This the principle on which microwave works. The transfer of heat energy from one object to the other increases the kinetic energy of the particle of the other object. But no object mean no heat energy transfer and the plate isn't heated.
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ib physics mcq a particle is oscillating with simple harmonic motion (shm) of amplitude xo and maximum kinetic energy ek. what is the potential
Maximum kinetic energy and maximum potential energy of a particle is oscillating with simple harmonic motion (SHM) of amplitude x₀ is = 1/2mω²x₀².
What is simple harmonic motion?A motion in which the restoring force is directly proportional to the body's displacement from its mean position is known as a simple harmonic motion, or SHM.
This restoring force always moves in the direction of the mean position. A particle moving in simple harmonic motion accelerates as a(t) = -ω²x (t). Here, ω denotes the particle's angular velocity.
Maximum kinetic energy of a particle is oscillating with simple harmonic motion (SHM) of amplitude x₀ is = 1/2mω²x₀².
Maximum potential energy of a particle is oscillating with simple harmonic motion (SHM) of amplitude x₀ is = 1/2mω²x₀².
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The specific heat capacity of aluminum and copper is 0.89 J/g0C and 0.38 J/g0C respectively. Choose the correct statementA) Copper and Aluminum can be heated at the same rateB) Copper get heated faster than aluminumC) Aluminum get heated faster than copperD) Not enough data is given
The right answer, as per the statement, is that copper heats up more quickly than aluminum.
What is the straightforward meaning of heat?Heat is the result of the movement of kinetic energy within a material or an item, from a power source to a material or an object. Radiation, conduct, and convection are the three mechanisms through which such energy can be transferred.
How is heat quantified?In order to measure heat, calories are used. The energy it takes to elevate one teaspoon of water by one degree Celsius is one calorie. A sample of water's change in temperature is divided by the water's mass to calculate heat.
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a flat, circular loop has 16 turns. the radius of the loop is 12.0 cm and the current through the wire is 0.53 a in clockwise direction. determine the magnitude and direction of the magnetic field at the center of the loop (in t).
The magnitude of the magnetic field is 3.8343168 × [tex]10^-^1[/tex] A-m²
and the direction is perpendicular to the field since the magnitude is not mentioned.
The given dimensions are ;
Number of turns or N = 16 turns
The radius of the loop = 12 cm = 0.12 m
And the current through the wire = 0.53 A
And the formula for magnetic field is ;
magnetic field = Ni A
= 16 × 0.53 × π× r²
= 16 × 0.53 × 3.14 × 0. 12 × 0. 12
We have taken the value of π = 22/7 as 3.14
= 0.38343168
= 3.8343168 × 10-1 A-m²
And the direction is perpendicular to the field.
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unpolarized light with intensity 360 w/m2w/m2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. it emerges from the second filter with intensity 128 w/
In order to reduce reflections, reduce atmospheric haze, and improve color saturation, photographers frequently place polarizing filters, also known as "polarizers," in front of camera lenses.
How to Polarizing Filters Work?One of a photographer's most important tools is a polarizing filter. It is frequently the first filter landscape photographers purchase to instantly enhance their images by adding vividness and contrast. By adding a polarizing filter to your lens, you can achieve the same effect as wearing polarized sunglasses over your eyes: the polarized glass prevents errant light waves from entering the lens, improving image clarity. We will go into great detail about polarizing filters in this article, including what they do, why they are significant, and whether or not you should use them for your photography needs. Reflective surfaces also randomise light, just like air particles do. By minimising reflections from objects like water, glass, foliage, and other non-metal surfaces, polarising filters can help your photos have more color saturation. Additionally, polarising filters enable you to produce vivid blue skies in your photographs. Blue light waves disperse more readily than red and green light waves because they are shorter. By polarising your view of the sky, you can get the cleanest blue light by preventing randomised blue light from entering your lens.It is crucial to realize that the amount of polarization one can obtain from a polarizing filter can vary significantly depending on the celestial position of the sun. As such, it is important to consider how the time of day and the season may have an effect.To Learn more About polarizing filter refer to:
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the wedge a is used to adjust the position of block b . knowing that the coefficient of static friction is 0.32 between all surfaces of contact, calculate the force p for impending motion upward for block b . p
According to the given statement 355.9lb the force p for impending motion upward for block b . p.
What is Static Friction?A force that holds an entity at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to drag a stationary object across a surface without actually causing any motion between their body and or the surface they are moving the object across.
Briefing:The block B's weight is 452.73 lb
The total contact surface's coefficient of friction is μ = 0.32
Block A's inclination with respect to the horizontal creates an angle of θ = 10⁰
The friction force f1 is given by,
f1=μN1
Here N1 is the normal on vertical surface.
The friction force f2 is given by,
f2=μN2
Here N2 is the normal on inclined surface.
P = 452.73 lb sin10⁰ + 134.62 lb + .32(452.73 lb) cos 10⁰
Thus the required force is 355.9lb.
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Light of wavelength 690 nm passes through two narrow slits 0.60 mm apart. The screen is 1.50 m away. A second source of unknown wavelength produces its second-order fringe 1.13 mm closer to the central maximum than the 690 nm light. What is the wavelength of the unknown light?
The mysterious light is a wavelength of 464nm
from the condition of the constructive interference:
d sinθ=mλ
for small angles: sinθ=θ=tanθ=x/l
the difference in the separation of the two fringes is,
x₁-x₂=(mλ₁l/d-mλ₂l/d)
x₁-x₂=ml/d(λ₁-λ₂)
(λ₁-λ₂)=(x₁-x₂)d/ml
λ₂=λ₁-(x₁-x₂)d/ml
=(690×10⁻⁹m)-(1.13×10⁻³m)[tex]\frac{0.60*10^{-3} }{2(1.50)}[/tex]
=0.464×10⁻⁶m
=464nm
The wavelength, or the distance over which the shape of a periodic wave repeats, is the spatial period in physics. It is a property of both traveling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings. The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda () is frequency used to denote wavelength.
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A wheel accelerates with a constant angular acceleration of 4. 5 rad/s2 from an initial angular speed of 1. 0 rad/s. (a) through what angle does the wheel turn in the first 2. 0 s, and (b) what is its angular speed at that time?.
a. The angle does the wheel turn in the first 2.0 s is 1.7507 rev.
b. The angular speed at that time is 3.14 rad/s.
Angular accelerationin a circular motion, the angular change in an object moving in a circle in one unit of time. The size of this angle is the angle of travel in question in the problem. Circular motion consists of uniform circular motion and uniformly changing. In this problem using the concept of uniformly changing circular motion because the angular velocity changes, then:
a. The angle does the wheel turn in the first 2.0 s is:
Δθ = ω₀t + 1/2 αt²
= (1.0 rad/s) (2.0 s) + 1/2 (4.5 rad/s²) (2)²
= 11 rad= 1.7507 rev
b. The angular speed at that time is:
ω = 2π/T
= (2 x 3.14) / 2
= 3.14 rad/s
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the fact that the astrolabe was developed in the Muslim empire implies that...
The Muslims empire was advanced in technology
The Muslim empire, from the s. VIII, gave a sumptuary use to the astrolabe, an instrument created by the Greeks in the 1st century BC, and this led to the development of astronomy.
What is the astrolabe?It is an ancient astronomical instrument used to determine the latitude, longitude, height or position of bodies in the sky, as well as to calculate the time.
It is not known exactly who invented it, but the construction of a spherical or armillary astrolabe is attributed to the Babylonians.
However, historical records refer to a first astrolabe used by the Greek astronomer Hipparchus of Nicea, while Ptolemy laid the foundations for the construction of the planispheric astrolabe.
Muslims furthered the technological development of the astrolabeThe Muslims put the astrolabe to religious use and spread its knowledge.
Ibn al-Saffar is credited with drafting a treatise in the fifth century that covered the construction and instructions for use of the astrolabe and became the most widely used treatise for centuries.
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What are 3 facts about electromagnets?.
Magnetic objects are either drawn to or pushed away by magnetism. When two magnets with the same poles are positioned close to one another, they push apart and repel. When two dissimilar poles are positioned close to one another, they pull and attract to one another.
What three qualities do electromagnets possess?A soft iron core makes up an electromagnet. You may alter the magnetic field's strength. Simply cutting off the electricity will demagnetize an electromagnet. Reversing the polarity is possible.
A unique class of magnets called electromagnets has the following characteristics: By switching the direction of the current flow, the polarity of the magnets may be changed. They function as magnets when an electric current is passing through them; they are transient magnets that may be turned on and off.
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briefly define asteroid, comet, dwarf planet, meteor, and meteorite. how did the discovery of eris force astronomers to reconsider the definition of planet?
There needs to be some form of differentiation between what size makes a planet because Eris was larger than Pluto and other planets were only marginally smaller than Pluto.
How do you define asteroid, comet, dwarf planet, meteor, and meteorite ?Asteroid: A relatively small, stony object that circles a star; asteroids are classified as "small solar system bodies" by the government.
Comet :A comet is a tiny, ice object that revolves around a star. Comets are classified as "small solar system bodies," the same category as asteroids.
Dwarf planet: An object that orbits the Sun and is sufficiently large that gravity has shaped it almost spherically, but which does not meet the criteria for designation as a planet because it has not yet cleared its orbital neighborhood. The asteroid Ceres and the Kuiper belt objects Pluto, Eris, Haumea, and Makemake are classified as dwarf planets in our solar system.
Meteor: An explosion of light brought on by a space particle burning up in our atmosphere.
A meteorite is a space rock that falls on Earth.
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shows two strong magnets on opposite sides of a small table. the long-range attractive force be- tween the magnets keeps the lower magnet in place.
A magnet is a substance that creates an unseen zone where other magnetic materials can experience a force (either attracted or repulsive).
What is a magnet, please?A magnet is any item that generates its own magnetic field and interacts with other magnetic fields. A magnet has two poles, the north pole as well as the south pole. The magnetic field of a magnet is depicted by field lines that start at its north pole but stop at its south pole.
What is in a magnet?Most permanent magnets have iron, chromium, perhaps cobalt as their principal metals. Cobalt, nickel, and aluminum are combined to form the alloy known as Alnico.
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radio waves travel through air at approximately the speed of light, c. imagine your local fm radio station broadcasts plane waves travelling in the negative x-direction with a frequency of f
Imagine your local radio station broadcasting plane Radio waves that are moving in the opposite direction of the x-axis. This is the electrical field for a radio wave: -0.231 N/C.
The physical electric field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field is known as an electric field (or E-field).
The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are typically found at frequencies of 300 gigahertz (GHz) and lower. Is called Radio waves.
Here speed c=3.0x10^8 m/s
frequency f = 105.5 MHz =1.055x10^8 Hz
E0 = 0.24 N/C
(x,t) = kx + wt = 2.21x+6.629*10^8*t
(-3.8,3.5*10^-9) = 2.21*3.8 +6.629*10^8*3.5*10-9 =10.718
electric field is-
0.24x*sin(10.718 rad)= -0.231N/C
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The complete question is -
Radio waves travel through air at approximately the speed of light, c. Imagine your local FM radio station broadcasts plane waves travelling in the negative x-direction with a frequency of f = 105.5 MHz. The waveform of the electric-field component is E(x, t) = E0sin(Φ(x, t)), where Φ(0, 0) = 0 and the amplitude is E0 = 0.24 N/C.
Ezra is occasionally asked to work the check-out line during his shifts at the Hy-Vee grocery store. During a recent lesson on Newton's
Laws, he re-lived a memory from work. He wrote the following Physics problem and he wants you to solve it.
The handle of a paper grocery sack has a breaking strength of 298 N. Ezra loads the bag with 18.8-kg of soup cans. With what
maximum acceleration can he lift the sack upward without breaking the handles?
Answer:
Approximately [tex]6.04\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex] and that the mass of the bag is negligible.
Explanation:
There are two forces on the paper bag:
Upward tension in the handle, [tex]F(\text{tensions})[/tex], andDownward weight of the bag and its contents, [tex]F(\text{weight})[/tex].It is given that the tension in the handle [tex]F(\text{tension})[/tex] should not exceed [tex]298\; {\rm N}[/tex].
Let [tex]g[/tex] denote the gravitational field strength. The mass of the bag and its contents is [tex]m = 18.8\; {\rm kg}[/tex]. Their weight will be [tex]F(\text{weight})= m\, g[/tex].
SInce [tex]F(\text{tension})[/tex] and [tex]F(\text{weight})[/tex] are in opposite directions, the resultant force on the bag will be:
[tex]F(\text{net}) = F(\text{tension}) - F(\text{weight})[/tex].
Divide the net force by mass to find the acceleration [tex]a[/tex] of the bag:
[tex]\begin{aligned}a &= \frac{F(\text{net})}{m} \\ &= \frac{F(\text{tension}) - F(\text{weight})}{m} \\ &= \frac{F(\text{tension}) - m\, g}{m} \\ &= \frac{F(\text{tension})}{m} - g\end{aligned}[/tex].
Since [tex]F(\text{tension}) \le 298\; {\rm N}[/tex]:
[tex]\begin{aligned} a &= \frac{F(\text{tension})}{m} - g \\ &\le \frac{298\; {\rm N}}{18.8\; {\rm kg}} - 9.81\; {\rm N \cdot kg^{-1}} \\ &\approx 6.04\; {\rm N \cdot kg^{-1}} \\ &=6.04\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
Note the unit conversion: [tex]1\; {\rm N \cdot kg^{-1}} = 1\; {\rm (kg \cdot m\cdot s^{-2})\, kg^{-1}} = 1\; {\rm m\cdot s^{-2}}[/tex].
Answer:
Acceleration = 6.05 m/s²
Explanation:
Fmax = 298 N
m = 18.8 kg
g = 9.8 m/s²
___________
a - ?
According to Newton's 2nd law:
Fmax = m·(g + a)
g + a = Fmax / m
Acceleration:
a = Fmax / m - g
a = 298 / 18.8 - 9.8 ≈ 6.05 m/s²
suppose that in exercise 55 the current is flowing at 1.2 mi/h due south. in what direction should the swimmer head in order to arrive at a landing point due east of his starting point?
The direction in which the swimmer should head in order to arrive at a landing point due east of his starting point is 36.86° or N53.14°E.
How to find out swimmer's direction who is to arrive at a landing point due east of his starting point?
Given:
Velocity of the river: 1.2mi/h
Velocity of the swimmer: 1.2mi/h
The velocity of the river can be represented by:
V= -1.2j (negative sign represents as we head towards south)
So, the velocity of the swimmer can be represented by the vector U as:
U=2cosθi + 2sinθj
Let the true velocity of swimmer be determined as W:
W = U + V
To land at point in the east for the swimmer, he should move horizontally
Hence, the vertical component is equal to zero.
i.e., 2sinθ - 1.2 = 0
2sinθ = 1.2
sinθ = [tex]\frac{1.2}{2}[/tex]
θ = 36.86°
The direction which the swimmer should take is: 36.86° or N53.14°E.
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What is the mass of 150 kg in Moon?.
The mass on the moon is 22.80kg.
The Moon's mass the only naturally occurring satellite of the Earth, has a mass of roughly 7.4 x 10²²kg. Although the moon is the fifth largest satellite in the solar system, it is the largest relative to the planet it circles because of its mass, which is 1/4 that of Earth.
We are given that ,
Mass on the earth = 150 kg
Thus, to calculate the mass on moon of 150 kg we can use the formula,
Mass on the moon =(mass on the earth)/(9.8m/s²)×1.622m/s
Mass on the moon =(150kg)/(9.8m/s²)×1.622m/s²
Mass on the moon = 22.80kg
Thus ,the mass on the moon is 22.80kg.
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When an image of an object is formed by a converging lens, which of the following statements is always true? A. The image is virtual; B. The image is real: C. The image is upright; D. The image is inverted; E. None of those statements is always true
When an image is formed using a converging lens, the image forced is virtual and upright. Thus, answer is A and C.
A convex lens is called as converging lens. A converging lens forms an image at the point where all the rays intersect behind the mirror. The converging lens forms the real, inverted images of the real objects which are further from the focal length (p>f) and virtual, upright and large images of real objects present nearer than the focal length (p<f).
Due to this, the properties of the image formed by the converging lens are virtual and upright.
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