The distortion current is then equal 0.826 A.
The total rms current of the input current to a rectifier is 5 A. The fundamental current has an rms value of 3 A.
The fundamental current and distortion current are both made up of harmonics. We can find their values by taking the square root of their respective rms values:
5 A = 1/√5
= 2.23 A
3 A = 1/√3
= 1.333 A
The distortion current is then equal to 1.333 * √2 = 0.826 A
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An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be ____ m/s/s.
An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be 5.62 [tex]m/s^{2}[/tex]
force 1 = mass1 * acceleration 1
force 1 = mass1 * 8
f1 = m1 * 8
force 2 = mass 2 * acceleration 2
force1 / 3.7 = (mass 1 / 2.6) * acceleration 2
f1 / 3.7 = (m1 / 2.6) * a2
( m1 * 8 ) / 3.7 = (m1 / 2.6) * a2
a2 = 5.62 [tex]m/s^{2}[/tex]
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Given newton’s first law of motion, what do we reasonably expect an object to do given the following scenarios?.
According to Newton’s first law of motion, we reasonably expect a stationary object will remain at rest or a moving object will have a uniform motion (have constant velocity) in a straight line.
Newton's first law of motion states, if there are no actions of an external force or forces, that are balanced, every object will remain at rest or in uniform motion in a straight line path. The formula ∑F = 0 with ∑F the external forces.
If an object is in a stationary condition, the object will remain at its rest.If an object is in motion, it will keep moving with a constant velocityThis law call law of inertia. Example
A boy sits on a chair, the weight force and the normal force from the chair keep the boy remain to sitting on the chair.A bus suddenly hit the brake, and people inside the bus will move slightly to the front and back, but they still sit on the chair.Learn more about Newton's first law here: https://brainly.com/question/10454047
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please someone help me derive v²/r in Simple Harmonic Motion
Using Ohm's Law and the power formula, V² / R is derived.
What is Harmonic motion?Simple harmonic motion is a particular kind of periodic motion in which the restoring force on the moving item is directly proportionate to the size of the displacement and acts in the direction of the object's equilibrium position. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.
Power(P) = Potential difference (V) × Current (I)
So
Now by ohm's law
I =V/R
On substituting the value of current in the equation
P=VI
We get
P= V × V/R
P=V² / R
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question: if so, what is the star's average absolute magnitude (m) (think average luminosity) to 0.01 magnitudes? (1 point)
Mv is equal to m - 2.5 log(d/10)2. There is a minus sign in the expression because stars distant than 10 pc have Mv that is more negative than m. Make careful you provide the star's given distance in parsecs (1 pc = 3.26 ly = 206265 AU) if you use this formula.
The moon can appear to be nearly -13 magnitude bright, the moon can appear to be -6 magnitude bright, and stars can get as bright as nearly -1.5 magnitude.
The star's actual magnitude is determined by subtracting its apparent magnitude by five times the trigonometric parallax of its distance from the star.
First-magnitude stars have apparent magnitudes less than +1.50, making them the brightest stars in the night sky. In the first century B.C., Hipparchus invented the magnitude scale. He assigned first magnitude to the 20 brightest stars and sixth magnitude to the stars that are faint enough to be seen with the unaided eye.
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a bear sling is used in some national parks for placing backpackers' food out of the reach of bears. as the backpacker raises the pack by pulling down on the rope, the force f needed:
Force is to be known for this problem.
What is force?
In physics, force is the push or pull that an object feels when its mass causes it to change its velocity. An external force has the ability to change a body's resting or moving state. It moves and has a size.
What constitutes speed?
the speed at which the position of an object is shifting, in any direction. Speed is defined as the product of the distance traveled and the time needed to cover that distance. Since speed simply has a focus and no magnitude, it is a scalar number.
2T cos∅ =μg
⇒ if weight (μg)
rises
⇒∅ increases
⇒ cos∅ decreases
⇒T increases
⇒F will also increases
But ∴ Cos 90° = u
⇒ not possible.
Therefore, the force is to be needed.
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which of the following is an advantage that liquid water has as a biological solvent compared to other alternatives?
an advantage that liquid water has as a biological solvent compared to other alternatives IS, when it freezes it becomes less dense. it is a liquid over a wide temperature range and remains liquid at higher temperatures. It is able to dissolve many things
WHAT IS A BIOLOGICAL SOLVENT?A solvent is a molecule that has the ability to dissolve other molecules, known as solutes. A solvent can be solid, liquid or gas. The molecules of the solvent work to put the solute molecules apart. Eventually, the molecules of solute become evenly distributed in throughout the solvent. This homogenous mixture is perfectly even, and cannot be separated physically. Heat or another chemical process must be applied to the solution to separate the solvent and solute.
Molecules in general have two classes, polar and nonpolar. Polar molecules have separated electrical charges on different sides of the molecule. Nonpolar molecules, while they can fluctuate in charge, do not carry a static charge. Both es of molecules can act as solvents, as described below.
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Doctor Who is traveling through the vacuum of space at 406.36 m/s in their T.A.R.D.I.S. They slow down to an easy pace of 1,035.99 m/s when they see a galactic turtle flying through the cosmos. If it takes the T.A.R.D.I.S. 6.97 s to slow down, then how far does the T.A.R.D.I.S. travel while slowing down? Round to the hundredths.
The T.A.R.D.I.S. travels 5026.6 m while slowing down.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second
Initial speed of the Doctor; u = 406.36 m/s .
Final speed of the Doctor; v = 1035.99 m/s.
Time taken = 6.97 s.
So, average speed = ( initial speed + final speed)/2
= (406.36 + 1035.99)/2 m/s.
= 721.175 m/s.
Hence, the T.A.R.D.I.S. travels while slowing down = average speed × time
= 721.175 m/s × 6.97 s.
= 5026.6 m.
Hence, the T.A.R.D.I.S. travels 5026.6 m while slowing down.
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two watermelons are dropped from the same height. one is cracked on the pavement. the other one is intact when dropped on the grass lawn, which is a result of
One watermelon cracked on the pavement while the other one is intact when dropped on the grass lawn because of the momentum transfer.
A wave contains momentum and could be a vectorial amount. The contrast between the momentum of the scattered wave to the occurrence wave is called momentum transfer.
In Newtonian mechanics, energy (more particularly straight energy or translational momentum) is the item of the mass and speed of a question.
It may be a vector amount, having a size and a course. If m is an object's mass and v is its speed (moreover a vector amount).
In the Universal Framework of Units (SI), the unit of estimation of energy is the kilogram meter per moment (kg⋅m/s), which is identical to the newton-second.
When an object hits the ground, the energy exchanged from the protest to the ground indeed is its momentum transfer.
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a heater is supplied with a dc voltage of 117.0 v and delivers 1.00 kw of heat. what rms voltage must an ac voltage source provide to deliver the same amount of heat?
The rms voltage will be 82.7 v
What is rms voltage?"RMS" stands for Root Mean Square and is a way of describing the amount of AC voltage or current in terms that are functionally equivalent to DC. For example, 10 Volts AC RMS is the amount of voltage that will produce the same amount of heat dissipation in a given value resistor as a 10 Volts DC power supply.
The root mean square (rms) voltage of a sinusoidal source of emf (Vrms) is used to characterize the source. It is the square root of the square of the time-averaged voltage. The value of Vrms is v₀/√2 or equivalently 0.707 v₀
For the given question:
At the same time interval same heat is produced. Therefore, power in both DC and AC will also be same.
So the rms voltage will be:
= 117.0/√2
= 117.0 × 0.7071
= 82.7 v
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A ball is thrown horizontally at a speed of 7.9 m/s. When the ball is released, it is 1.8 m off the ground. How far (horizontally) will the ball travel?
If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).
What exactly does it entail to speed?Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.
How fast is relativistic motion?Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.
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what is one major difference between federal and unitary governments
a 1,400 kg airplane encounters a 200 n headwind that slows it down. if the airplane was originally traveling 230 m/s, how long (in s) will it take the headwind to slow the airplane to 120 m/s?
A 1,400 kg airplane encounters a 200 newton headwind that slows it down. if the airplane was originally traveling 230 m/s . It take 12 minutes for the headwind to slow the airplane to 120 m/s
Force = mass * acceleration
- 200 N = 1400 * ( change in speed / time interval )
- 200= 1400 * (120 - 230 / time )
-200 = 1400 * ( -110 / time )
time = 770 seconds = 12 minutes
It take 12 minutes for the headwind to slow the airplane to 120 m/s
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a longitudinal wave is observed. Exactly 6 crests are observed to move past a given point in 9.1 s. Its wavelength is 2.4 m and its frequency is 0.66 HZ. What is the speed of the wave.
The speed of the longitudinal wave is given or computed as 1.584 or approximately 1.6m/s.
What is a wave?A wave is a propagating dynamic disturbance of one or more variables in physics, mathematics, and related sciences. Periodic waves occur when values oscillate repeatedly about an equilibrium value at a certain frequency.
Longitudinal waves are those in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is parallel to the wave's propagation direction.
A longitudinal wave is an example of one. P-waves of ultrasonography from earthquakes
Compression, rarefaction, wavelength, amplitude, period, and frequency are all important characteristics of a longitudinal wave.
To estimate the above answer multiply wavelength and frequency to get the speed of a wave.
That is:
2.4 x 0.66
= 1.584
If the frequency is not given, one can divide 6 crests by 9.1 seconds to determine the frequency.
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what is the wavelength range in an am radio band (with frequency range 563 khz1649 khz)? answer in units of m.
Amplitude modulated (AM radio) carrier frequencies lie in the frequency range 535 to 1605 kHz. Carrier frequencies from 540 to 1600 kHz are assigned in 10 kHz increments.
So for the maximum wavelength, the speed of light divided by the minimum frequency of FM, which is 88 megahertz, is 3.41 meters. The minimum wavelength is 10 to the power of 8 meters divided by 108 megahertz. Therefore, FM wavelengths are between 2.78 meters and 3.41 meters. Since they are electromagnetic waves, they travel at the speed of light and their wavelength is given by the relationship ν = c/λ. where c is the speed of light. The wavelength of a 1,000 kHz radio wave is (2.998 × 108 m/s)/(1.000 × 106/s) = 299.8 m.
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a rollercoaster cart with a total mass of 1,000kg is at the top of a hill moving at 2ms. assuming no friction and neglecting air resistance, what is the speed of the cart when it reaches the bottom of the hill, 30m below?
Using the supposition that there is no friction and disregarding air resistance, the speed of the cart at the bottom of the hill is 24.6ms.
What kind of forces does friction produce?Small bumps collide with one another as surfaces move over one another. Friction acts as a resisting force on the surface's motion. Friction can be reduced by lubricants.
What exactly are the rules of friction?The friction caused by a moving item is inversely propotional and runs perpendicular to it. The type of surface the thing is in touch with determines the amount of friction it experiences. As long as there is a point of contact, friction remains independent of a area of contact.
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a 5kg cat is lifted 2 meters into the air. how much gpe does it gain?
Answer:
100
Explanation:
PE=mgh=5×10×2=100JA 85 kg firefighter needs to climb the stairs of a 20-m-tall building while carrying a 45 kg backpack filled with gears. How much power does he need to reach the top in 55 s?
The power that firefighter needed to reach the top of the building in 55s is equal to 463.3 Watts.
What is power?Power can be described as the rate of doing work and is also defined as the work done in unit time. The S.I. unit of power is Joule/second or Watt (W). The mathematical expression for power is mentioned below.
Power = work/ time
P = W/ t
Given, the height of the building, h = 20 m
The total mass of the firefighter and backpack, m = 85 + 45 = 130 Kg
The time taken to reach the top, t = 55 sec
The power that will be needed can be determined as:
[tex]{\displaystyle {P = \frac{m\times g\times h}{t}[/tex]
[tex]{\displaystyle {P = \frac{130\times 9.8\times 20}{55}[/tex]
P = 463.3 Watt
Therefore, with the power of 463.3 Watts, a firefighter will reach the top in 55s.
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robin started at point a. she walked 4m south, then 8m east, then 4m north, then 8m west so that she was back at point a. if her walk took 5 minutes, what was her velocity in meters per minute?
Robin started at point a. she walked 4m south, then 8m east, then 4m north, then 8m west so that she was back at point a. if her walk took 5 minutes her velocity in meters per minute is 0.96.
Displacement = distance / time = 24m/5 = 4.8
Velocity = displacement / Time = 4.8/5 = 0.96m/min
Its scientific definition and velocity are presumably similar. You are aware that a significant displacement over a short period of time indicates a large velocity, and that velocity has measures of distance / time, like miles/hour or kilometers/hour.
The change in position divided by the distance travelled is the definition of average velocity. However, the average speed of an object tells us nothing about what happens to it between the starting and finishing points. For instance, average velocity does not allow us to determine whether a passenger in an airplane briefly stops or reverses before relocating to the rear of the aircraft. We must consider shorter distances travelled over shorter times in order to obtain more information.
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a 1.1 kg ball swings from a string in a vertical circle such that it has constant sum of kinetic and gravitational potential energy. ignore any friction forces from the air or in the string. what is the difference in the tension between the lowest and highest points on the circle? give a positive answer in n.
The answer is 82.32N
The difference in the tension between the lowest and highest points on the circle is solved here below.
Two asteroids with masses 3. 71 x 105 kg and 1. 88 x 104 kg are separated by
a distance of 1,300 m. What is the gravitational force between the asteroids?
Newton's law of gravitation is F.
gravity
Gm m2. The gravitational constant
Gis 6. 67 x 10-11 N-m2/kg?.
The gravitational force between the asteroids with masses 3. 71 x 10^5 kg and 1. 88 x 10^4 kg are separated by a distance of 1,300 m is 27.5 * 10^-8 N
F = G m1 m2 / r²
F = Gravitational force
m1 , m2 = Masses
r = Distance between m1 and m2
m1 = 3.71 * 10^5 kg
m2 = 1.88 * 10^4 kg
r = 1300 m
G = 6.67 * 10^-11 N m² / kg²
F = 6.67 * 10^-11 * 3.71 * 10^5 * 1.88 * 10^4 / 1300²
F = 46.52 * 10^-2 / 169 * 10^4
F = 27.5 * 10^-8 N
According to Newton's law of gravitation, any matter in the universe attracts another matter with a force. This force of attraction is directly proportional to the product of their masses and inversely proportional to the square of distance between them.
Therefore, the gravitational force between the asteroids is 27.5 * 10^-8 N
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55. A 500 gram ball begins from rest and rolls down a 30° frictionless incline.
a. What is the ball's acceleration?
b. What is the ball's velocity after 15 seconds?
Acceleration : a. F=ma, mg cos(90°-θ)= ma, g cos (90°-θ)= a, g sin(θ) = a, g sin(30°)= a
b. v= u+(a*t), u=0, v= (a*t), v= ( g sin(30°) * 15 ).
What is Acceleration?
If an object's velocity changes, it is said to have been accelerated. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.
Therefore, the acceleration and velocity are solve.
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a car is being driven at a rate of 40 ft/sec when the brakes are applied. the car decelerates at a constant rate of 16 ft/sec^2. calculate how far the car travels in the time it takes to stop. your answer: answer unit
The car travels a distance of 50ft before stopping, at a rate of 40 ft/sec when the brakes are applied. the car deceleration at a constant rate of 16 ft/sec^2.
Given , Initial speed of the coz ( Vo ) = 40 ft/ sec
Deceleration of the car (dv/dt ) = - 16 Ft/ sec^2
Final speed of the car (Vx ) = 0 Ft / sec
Let the distance travelled by the can be x at
any time t. Let u be the velocity at any time t .
Now , deceleration means rate of decrease of velocity.
So ,
dv/dt = - 16 ft / sec^2
decreasing with
Negative sign means the velocity is decreasing with time .
dv/dt = dv/dx(dx/dt)
dv/dx(dx/dt) = -16
dx/dt = v, so
v dv/dx = -16
vdv = -16 dx
Integrating both sides under the limit 40 to o
0 to x for 'x '. This gives
[tex]\int\limits^0_ a {v} \, dx = \int\limits^0_x {-16} \, dx[/tex]
Here, a=40
x=800/16
x=50ft.
The car travels a distance of 50ft
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a cylindrical barrel of mass 30 kg and diameter 90 cm is floating in a bay. a 70 kg person steps onto the barrel, causing it to descend a little farther into the water. find the distance the barrel sinks (in cm) after this additional weight is added.
The distance the barrel sinks (in cm) after this additional weight is added is 108.6 cm
An object floats when the weight pressure on the object is balanced by the upward push of the water at the object. The upwards push of the water will increase with the extent of the item this is below water; it isn't tormented by the intensity of the water or the quantity of water.
Calculation:-
m = 30 kg
Fb ----- Bouyance force = ρgVd
Vd = volume inside water
Fb = mg
ρ v ₓ g = mg
1000 ×π/4 (0.9)²X₁ = m ---------------(1)
V = π/4(0.9)²X₁
After the person has stepped
Fb = ( 70 × 9.8 + 30 × 9.8)
1000 × π//4 (0.9)² × X₂ = 100 ------ (2)
(2) -(1)
1000 × π/4*(0.9)² × (X₂ - X₁) = 1-- - 30
(X₂ - X₁) = 1.086 m
Therefore the distance the barrel shrinks = 108.6 cm
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what must be the magnitude of the current in the outer wire so that the net magnetic field due to this combination of wires is zero at the common center of the wires?
magnetic field caused by the combination of wires to cancel out, the current will flow in a direction . The current will therefore move in the other direction,. The outside wire is experiencing a 15.83 A current.
The electric current formula, I=V/R, can be used to determine how much current is flowing. The "current equation," as it is commonly known, is derived from Ohm's Law. The variable "I" denotes current, "V" denotes voltage, and "R" denotes resistance.
What do current and electron actually mean?Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. A positive terminal receives normal current, which then travels to a negative terminal.
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answer the following questions for projectile motion on level ground assuming negligible air resistance (the initial angle being neither nor ): (a) is the velocity ever zero? (b) when is the velocity a minimum? a maximum? (c) can the velocity ever be the same as the initial velocity at a time other than at ? (d) can the speed ever be the same as the initial speed at a time other than at ?
Explanation
a) The velocity will never be zero. The velocity at the highest point of the projectile will be the smallest, equal to the horizontal component of the initial velocity.
b) The velocity will be zero when the kinetic energy is zero. When kinetic energy is at its lowest, potential energy is at its highest. Because potential energy is greatest at the highest point, velocity is greatest at the highest point.
c) Because a constant force of gravity acts on the projectile at all times, velocity will never be the same as initial velocity.
d) When the bullet bounces back and strikes the ground, the speed equals the initial speed (at t = 0), because the height is zero and the kinetic energy is equal to the initial energy.
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10. a helium balloon is held by its string in a car with the windows rolled up. the car, initially at rest, accelerates forward. which direction does the balloon move? explain.
The helium-stuffed ball is surely transferring against the direction of what looks like gravity.
The equal thing that it does while you're not in an accelerating body. It does that for the equal motive: buoyancy because of being lighter than air. The air inside the vehicle has a higher density inside the back of the car than it does inside the front. this means that the net pressure on the balloon due to collisions with the air will be in the ahead path.
The balloon does the other to something your body could do. for that reason, if the car comes to rest the balloon moves toward the return. The secret is that the balloon is filled with helium (He) and you are made of stuff a great deal heavier than air.
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how can we deducve the presence and measure the mass of a supermassivce black hole in the center of a galaxy
Astronomers can study how clusters of stars and gas move around the galactic center in nearby galaxies and use those movements to calculate the mass of the central black hole.
How can we calculate the black hole's mass at the galactic center?By monitoring the star motions in the galaxy's center, Webb will calculate the black hole's mass. Astronomers will calculate the mass of that black hole using NASA's James Webb Space Telescope. The outcome may appear to be unimportant, but a black hole's mass controls how it feeds and interacts with its surroundings.
Black holes are discovered when nearby material, such as gas, is pulled by gravity into a disk around the black hole. The gas molecules in the disk of the black hole are spinning so quickly that they heat up and release X-rays. From Earth, one can observe these X-rays.
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a 650-n billboard worker stands on a 4.00-m scaffold weighing 600 n and supported by vertical ropes at each end. how far would the worker stand from one of the supporting ropes to produce a tension of 660 n in that rope?
Answer:
1.785 m
Explanation:
Without the worker the scaffolding produces 300N tension in each rope
if worker is in the middle, each rope will support 1/2 of worker's weight (325 N) for a total of 625 N <==== so worker will be pretty close to middle for tension of 660 N
Need 360 N in addition to 300N board
360 * x = 290 ( 4-x)
x = 1.785 meters from an end
Well ....that is kinda the 'intuitive approach'.....maybe this way will be more clear:
The moments around one end have to be = 0 or the plank will move
from the left end moments:
600 ( 2.000) + 650 ( x) = 660 (4.000)
x = 2.215 m from left end or 1.785 m from R end (that has the 660 N tension)
you place a large pebble in a slingshot, pull the elastic band back to your chin, and release it, launching the pebble horizontally at a speed of vv. you then repeat the exact same procedure (pulling the elastic band back the same distance) with a smaller pebble. the smaller pebble leaves the slingshot with a speed of 5v5v. how does the mass of the larger pebble compare to that of the smaller pebble?
The smaller pebble leaves the slingshot with a speed of 500 m/s.The mass of the larger pebble 25 times more mass compare to that of the smaller pebble.
In Both the cases work done by the elastic band is same i.e
WLarger = WSmaller
(1/2)MLargerVLarger2 = (1/2)MSmallerVSmaller2
MLarger/MSmaller = (VSmaller/VLarger)2
MLarger/MSmaller =(500/100)2 =25
Teenagers, young adults, and others utilise various stimulant medications collectively referred to as "speed" to feel more focused and alert, and occasionally to get euphoric. Additionally, some people take various forms of speed to suppress their appetite. You lack brute force, intimidation, and might without speed. Simply for show and to assist friends who are moving large pieces of furniture, they are useless. The good news is that speed can be improved with the right physical preparation. The velocity of a body or object determines the direction of its motion. Speed is often measured as a scalar value. The most basic definition of a vector quantity is velocity. It gauges the rate at which a distance varies. It relates to the speed at which displacement is altering. Its velocity is the speed at which something is travelling in a particular direction.
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If a roller coaster car increased its mass to twice its original value, then by what factor would its kinetic energy change? the roller coaster car's kinetic energy would?
The object's kinetic energy is proportional to its mass.
By doubling the mass kinetic energy the roller coaster car's kinetic energy is also doubled.
What is meant by kinetic energy?In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a given velocity. Unless the body's speed changes, it retains its kinetic energy after gaining it during acceleration. The body does the same amount of work when slowing down from its current speed to rest. Formally, kinetic energy is any term in a system's Lagrangian that includes a time derivative.
Gottfried Leibniz and Johann Bernoulli established the principle in classical mechanics that by describing kinetic energy as the living force, vis viva. The Netherlands' Willem's Gravesande provided experimental evidence of this relationship.
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