The torsional spring constant of the torsional oscillator (I = 0.25 kg · m² and T = 0.45 s) has a magnitude of 48.738 newton-meters.
How to determine the constant of a torsional spring
The torsional spring constant indicates the resistance of the spring to an external moment. The torsional spring constant (κ), in newtons per meter, can be found by means of this formula in function of the period (T), in seconds and the moment of inertia (I), in kilograms per square meter:
[tex]\kappa = \frac{4\cdot \pi^{2}\cdot I}{T^{2}}[/tex] (1)
If we know that I = 0.25 kg · m² and T = 0.45 s, then the torsional spring constant of the spring is:
[tex]\kappa = \frac{4\cdot \pi^{2}\cdot (0.25\,kg\cdot m^{2})}{(0.45\,s)^{2}}[/tex]
κ = 48.739 N · m
The torsional spring constant of the torsional oscillator (I = 0.25 kg · m² and T = 0.45 s) has a magnitude of 48.738 newton-meters. [tex]\blacksquare[/tex]
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What is the volume of the composite figure? 140 cubic inches 147 cubic inches 168 cubic inches 196 cubic inches.
The composite figure is a combination of a rectangular pyramid and a rectangular prism, hence its volume is 140in³.
Rectangular Prism and PyramidA rectangular prism is simply a three dimensional solid shape with six faces that are rectangles.
Volume of a rectangular prism is expressed as;
V = w × h × l
Where l is length, h is height and w is width
A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.
The volume of rectangular pyramid is expressed as;
V = (1/3) × l × w × h
Where l is the base length, w is the base width and h is the height of the pyramid.
From the diagram below;
Length of rectangular prism Lprism = 7inWidth of rectangular prism Wprism = 3inHeight of rectangular prism Hprism = 4inLength of rectangular pyramid Lpyramid = 7inWidth of rectangular pyramid Wpyramid = 3inHeight of rectangular pyramid Hpyramid = 12in - 4in = 8inFirst we calculate the volume of a rectangular prism.
V = w × h × l
V = 3in × 4in × 7in
V = 84in³
Hence, the volume of the rectangular prism is 84in³.
Next, we calculate the volume of rectangular pyramid.
V = (1/3) × l × w × h
V = (1/3) × 7in × 3in × 8in
V = (1/3) × 168in³
V = 56in³
Hence, the volume of the rectangular pyramid is 56in³.
Volume of the composite figure = Volume of prism + Volume of pyramid
Volume of the composite figure = 84in³ + 56in³
Volume of the composite figure = 140in³
Therefore, the composite figure is a combination of a rectangular pyramid and rectangular prism, hence its volume is 140in³.
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2. Following a strength training plan, someone who increases lean muscle mass by .5 pounds per month will achieve a weight gain of ______
a) 5 pounds in two months.
b) pound in one month.
c) 2 pounds in four months
Answer:
C
Explanation:
.5 lb/month * 4 month = 2 lbs
At one instant, the electric and magnetic fields at one point of an electromagnetic wave are.
At one instant, the electric and magnetic fields at one point of an electromagnetic wave are perpendicular to each other.
What is an electromagnetic wave?The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.There are seven types of electromagnetic waves which are arranged in order of their increasing wavelength with radio waves having highest wavelength.
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Someone please help me, I know I already asked a question please don't think I not smart, but
#1. How are potential and kinetic energy related?
#2. How are sounds made?
Answer:
PE is related to the ability to do work, If an item is sitting on a shelf
it has potential energy relative to its position on the floor, However, if the object were to fall it would hit the floor with a KE equal to the PE that it had sitting on the shelf.
Sounds are caused by compressional waves in the air - when a piano key is struck or a TV is turned on, then compressional waves are produced in the surrounding air due to a disturbance. The human ear recognizes the disturbed air as due to the object that created the disturbance.
Suppose that you want to heat a gas so that its temperature will be as high as possible. Would you heat it under conditions of constant pressure or constant volume
According to Gay - Lussac's law, you should heat it under conditions of constant volume.
Ideal GasAn ideal gas obeys the equation of state PV = nRT at all pressures, volume and temperatute.
According to Boyle's law, the volume of a gas is inversely proportional to the pressure while temperature is constant.
Also, according to Gay - Lussac's law, increase in temperature is direclty proportional to increase in pressure while volume remains constant.
Suppose that you want to heat a gas so that its temperature will be as high as possible. According to Gay - Lussac's law, you should heat it under conditions of constant volume.
Therefore, to heat a gas so that its temperature will be as high as possible, you should heat it under conditions of constant volume.
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What does the quote means? And do you agree or disagree and if you could change it what would you say?
i would appreciate your help
Answer:
22. C. Pz > Py > Px
23. B. 5.0 × 10⁴Pa
24. B. Upward thrust exerted by the liquid
25. B. The volume of the object immersed in the liquid decreases
26. D. When a body is wholly or partially immersed it experiences upthrust equal to the weight of the fluid displaced
Explanation:
22. The more you go deeper into the sea, the more the pressure of the water increases pushing down on you.
The reason why salt water is very dense is that when the salt dissolves in the water, it adds to the mass of the water, which makes the water more denser.
Due to this, we can assume that the water pressure exerted on the fish will be greater beneath the sea than the lake at the same depth.
Answer: C. Pz > Py > Px
----------------------------------------------------------------------------------------------------------
23.
Given:
Density of water = 1000 kg m⁻³
Atmospheric pressure at sea level, Patm = 1.0 × 10⁵ Pa]
Depth of water in sea = 5m
To find the pressure exerted by the water on the fish, we use the formula: P = hpg
P = pressure
h = height or depth of water
p = density of water
g = gravitational field strength
We are given the depth and density, but not the gravitational field strength
Gravitational Field Strength: Measures how much gravity there is
And since we live on earth, the gravitational field strength is 10 N/kg
Depth, h = 5m
Density, ρ = 1000 kg/m³
Gravitational Field Strength, g = 10 N/kg
Now we substitute these into the formula:
P = hpg
P = (5)(1000)(10)
Multiply 5 and 1000 to get 5000
P = 5000 × 10
Multiply 5000 and 10 to get 50000
P = 50000Pa
↓
P = 5.0 × 10⁴Pa
Answer: B. 5.0 × 10⁴Pa
----------------------------------------------------------------------------------------------------------
24. When a body is fully or partly immersed in a liquid, it undergoes an apparent loss in its weight due to upward thrust exerted by the liquid.
The upward thrust is the same as the weight of the fluid being displaced by an object.
Answer: B. Upward thrust exerted by the liquid
----------------------------------------------------------------------------------------------------------
25.
When you add common salt to water it becomes denser, which can increase the mass and volume of the water. Due to water becoming denser, it can make an object thats less dense float. Also, density and volume are inversely proportional to each other, meaning that when density increases, volume decreases.
Answer: B. The volume of the object immersed in the liquid decreases.
----------------------------------------------------------------------------------------------------------
26.
Achimede's principle states that:
Answer: D. When a body is wholly or partially immersed it experiences upthrust equal to the weight of the fluid displaced.
A laser emits a narrow beam of light. The radius of the beam is 1.5 mm, and the power is 1.9 mW. What is the intensity of the laser beam?
Answer: 268.80 W/m^2
Explanation:
Intensity = Power/Area
first convert radius to meters
1.5mm= 1.5x10^-3m
area= pi (1.5x10^-3)^2
= 7.069m^2
convert power to W
1.9mW= 1.9x10^-3W
plug into intensity formula
(1.9x10^-3)/(7.069) = 268.80 W/m^2
A student draws the model shown below.
Which of these best compares the conditions at Location X and Location Y?
Answer
The statement that best compares conditions at Location X and Location Y is At Location x, there will be more daylight hours.
What are co-ordinate?
Generally, co-ordinates is the horizontal and vertical distances from the two reference axes are used to describe the position of a point on a coordinate plane
In conclusion, In the diagram, the student has created a model of the sun and the earth. Because the x point is pointing away from the sun, locations on point x receive more light than locations on point Y.
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What must be known to determine the direction of the magnetic force on a charge? check all that apply.
please check attachment hope it helps you।।
आपका दिन शुभ रहे।।
If a wave has the length of 2 meters and it takes the wave 6 seconds to pass calculate the wave speed
Answer:
12 m/sec
Explanation:
lambda = 2 m
period = 6 seconds frequency = 1/p = 1/6
speed = lambda * freq
= 2 / 1/6 = 12 m/s
Uranus and Neptune are called “ice giants” because they experience very low temperatures. This is due to the fact that these two planets are very far from the
Answer:
Sun :)
Explanation:
Uranus and neptune are the planets farthest from the sun (a heat source). :)
Have an amazing day!!
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How to prepare for physics ATP exam o'levels?
Spend time on this subject. Physics may have some concepts which are difficult for students to understand in some cases. A key example is electricity and magnetism. Spend extra time on topics you find difficult and most of all, remember to do PAST PAPERS. These will be your light in the dark, your teachers, your friends. Continue to do them, and remember to leave one unsolved before your examinations. This will orient your mind for the examination and let you achieve the maximum marks possible.
How much energy is given to each coulomb of charge that flows through a 1. 5-v battery?.
Answer:
1.5 jouls for 1 coulomb
Explanation:
energy(U)=charge(q)*potential(V)
so U for 1 coulomb U=1*1.5=1.5 jouls
and for 1 electron U=(1.6*10^(-19))*1.5= 2.4*10^(-19) jouls
Gasses and plasma are called bank because their shape is always changing
Answer:
It is because gasses, liquids, and plasma are always changing shape they are named and classified as ‘fluid’.
someone give me excuses for not having your pe kit
Which of these diagrams is a convex mirror? A vertical rectangular box with a left side that bows out. A vertical rectangular box. A vertical rectangular box with a left side that bows in.
A vertical rectangular box with a left side that bows out is a convex mirror. A convex mirror reflects light outwards, it cannot be utilized to concentrate light.
What is a convex mirror?
A convex mirror, also known as a curved mirror, has a reflecting surface that bulges toward the light source. A curved mirror's surface can be convex, or bulging outward, or concave, or bulging inward.
A convex mirror is a hollow spherical is divided into pieces, the exterior surface of each cut portion is painted. The image of the plant has real, inverted, and smaller characteristics.
A vertical rectangular box with a left side that bows out is a convex mirror. A convex mirror reflects light outwards, it cannot be utilized to concentrate light.
Hence, option A is correct.
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Answer:
the answer is a
Explanation:
Question #14:
An engine using 1 mol of an ideal gas initially at 18.5 L and 402 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 402 K from 18.5 L to 41.2 L
2) cooling at constant volume to 273 K
3) an isothermal compression to its original volume of 18.5 L
4) heating at constant volume to its original temperature of 402 K
Find its efficiency. Assume that the heat capacity is 21 J/K and the universal gas constant is 0.08206 L · atm/mol/K = 8.314 J/mol/K.
The efficiency of the engine through the four steps cycle is 83.4%.
What is the efficiency of a machine?The efficiency of a machine is the ratio of useful work done by the machine and the work done on the machine expressed as a percentage.
The efficiency of the engine is given by:
[tex]ɛ=\frac {W} {Q}[/tex]
where;
W is the work done in the four steps,Q is the energy inputSince there at four steps in a cycle:
[tex]ɛ=\frac {W_1+ W_2+W_3+W_4} {Q_1+Q_2+Q_3+Q_4}[/tex]
The work done in the first step (isothermal expansion) is given by:
[tex]W_1=nRT_1\ln{\frac {V_2} { V_1}}[/tex]
where:
n= 1 mole, T1 = 402 K, V2 = 41.2 L, V1 = 18.5 L
Substituting the values:
[tex]W_1 = 1 × 8.314 × 402 \times ln{\frac {41.2} {18.5}} = 2676.01 J \\ [/tex]
Steps 2 and 4 are constant volume processes, therefore;
[tex]W_2=W_4=0[/tex]
The work done in the third step (isothermal expansion) is given by:
[tex]W_3=nRT_3\ln{\frac {V_4} { V_3}} [/tex]
where;
n = 1 mol, T3 = 273 K, V4 = 41.2 L, V3 = 18.5 L
Substituting the values:
[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]
[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]Heat enters the system only during steps (1) and (4).
The internal energy of the gas increases in step 4 but no work is done, while the internal energy is constant change in step 1 but work is done by the gas.
Thus;
[tex]Q_2=Q_3=0[/tex]
The heat that enters the system during the isothermal expansion is given by:
[tex]Q_1=W_1[/tex]
The heat that enters the system on step 4 at constant volume is given by:
[tex]Q_4=C_V(T_4-T_3)[/tex]
where:
Cv =21 J/K, T3 = 273 K, T4 = 402 K
Substituting the values:
[tex]Q_4= 21 × (402 - 273) = 2709 \: J[/tex]
Solving for efficiency, ɛ:
[tex]ɛ=\frac {2676.01+ 0+0+1817.29} {2676.01+0+0+2709} = 83.4\%[/tex]
Therefore, the efficiency of the engine is 83.4%.
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Visible light has a range of wavelengths from about 400-750 nm. Which of these wavelengths is
most likely seen as the color red?
Answer:
600-750
Explanation:
The red color in the visible region lies in the wavelength of 600 – 750 nm. The visible light spectrum is the fraction of the spectrum that is visible to humans.
What is wavelength ?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometers, and other units since it is a distance measurement.
The portion of the spectrum visible to the human light is known as the visible light Spectrum.
Visible light has a range of wavelengths from about 400-750 nm. The red color in the visible region lies in the wavelength of 600 – 750 nm.
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Define the following:-
1. Diffusion
2. Rigidity
3. Fluidity
[ oOBrainlyNobitaOo ]
Answer:
1.diffusion, process resulting from random motion of molecules by which there is a net flow of matter from a region of high concentration to a region of low concentration. A familiar example is the perfume of a flower that quickly permeates the still air of a room.
2.Rigidity means no bending — in that case, of the rules. Objects and substances can have rigidity as well, if they literally won't bend. Rigidity means about the same thing as inflexibility, another word that describes rock-solid, unyielding people and substances.
3.the ability of a substance to flow easily
Explanation:
Hope it helps
a bar magnet is dropped vertically through a long piece of copper pipe. What effect does the falling magnet have on the pipe? Select all that apply
Answer:
An induced magnetic field is always opposed to the change that produced the magnetic field.
Thus, such a bar magnet will be slowed on its descent thru the pipe because it will produce a current in the pipe that will produce a magnetic field in an opposite direction to the field that produced the current.
(a repelling magnetic field will produce a force that opposes the force producing it - otherwise one has a way to produce pertpetual motion)
If a bar magnet's nuetral region is broken in two, what will most likely occur?
Answer:
If a bar magnets neutral region is broken into two, the newly cut faces will become the new north or south poles of the smaller pieces.
Answer:
Explanation:
You will create two separate bar magnets. Let's say we have a bar magnet with a north pole at the top region, and a south pole in the bottom region. The magnetic field lines will run from the north pole to the south pole. If the bar magnet were broken into the two, the portion containing the north pole will now have a south pole at the point where it was broken. Similarly, the section containing the south pole will have a north pole at the point where it was broken.
The reason for this is because magnetic monopoles do not exist. There are electric monopoles, those are called electrons. But there are no magnetic monopoles. There is no such thing as a magnetic charge. Mathematically, this is captured in Maxwell's equations. The divergence of the magnetic field is always zero, which means there is no such thing as a magnetic monopole. There is nothing theoretically stopping a magnetic monopole from existing. A lot of theories actually favor it. We just have no proof of it, so we assume they dont exist.
Force f acts between two charges, q1 and q2, separated by a distance d. if q1 is increased to twice its original value and the distance between the charges is also doubled, what is the new force acting between the charges in terms of f? one quarterf one halff f 2f
The new force acting between the charges in terms of f given the data from the question is half f
Coulomb's law equationF = Kq₁q₂ / r²
Where
F is the force of attraction K is the electrical constant q₁ and q₂ are two point charges r is the distance apart How to determine the initial force Charge 1 = q₁Charge 2 = q₂ Electric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = dInitial force (F₁) = f =?F = Kq₁q₂ / r²
F₁ = f = Kq₁q₂ / d²
How to determine the new force Charge 1 = 2q₁Charge 2 = q₂ Electric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = 2dNew force (F₂) =?F = Kq₁q₂ / r²
F₂ = K2q₁q₂ / (2d²
F₂ = 2Kq₁q₂ / 4d²
F₂ = Kq₁q₂ / 2d²
F₂ = ½(Kq₁q₂ / d²)
But
f = Kq₁q₂ / d²
Therefore
F₂ = ½f = half f
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Answer:
C or 1/2
Explanation:
Question 7 of 10
Which of the following phrases best describes the term scientific model?
A. A simplified representation used to explain or make predictions
about something
B. The application of scientific knowledge to make predictions about
an object, system, or process
C. A physical copy of a scientific object, system, or process
Answer:
my answer to that question was c
Explanation:
Tech A states that the PCM has the ability to learn from its actions and to use that information to make better decisions in
the future. Tech B states that it can also perform basic self-diagnostics on virtually all of the components in the system. Who
is correct?
Select one:
a. Tech A
b. Tech B
c. Both A and B
d. Neither A nor B
The statements made by the two technicians with respect to a process control module (PCM) are both correct: c. Both A and B.
What is PCM?PCM is an abbreviattion for process control module and it can be defined as a system that comprises a group of sensors, actuators, and other artificially intelligent processing equipment, which is operated as a single entity in an industry while providing its users (technicians) a desired result or response.
This ultimately implies that, a process control module (PCM) is designed and developed to do the folloing:
Perform basic self-diagnostics on the components in the system.Learn from its actions.Make better decisions in the future based on prior information.In conclusion, we can deduce that the statements made by the two technicians with respect to a process control module (PCM) are both correct.
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Which of the following is a component of all galaxies?
A. Objects that contain dust and gas
B. Objects that orbit the stars
C. Objects that orbit the sun
D. Objects that shine in the sky
Answer:
Objects that orbit the sun
Explanation:
Answer: A. Objects that contain dust and gas
Explanation: All galaxies have dust and gas. Answer C is incorrect because the answer says "the sun" how would and how would multiple galaxies have objects that orbit our sun?
(Oh, btw it's C I'm just messing with you guys)
How many Watts of power does a model rocket engine have if it does 66 J of work on a model rocket in 0.9 seconds?
Power developed by a model rocket engine will be 73.3 watts. Power is the ratio of the work done or the enrgy to the time period.
What is the power output?The rate of the work done is called the power output. It is denoted by P.Its unit of a watt.
The given data in the problem is;
E is the energy = 66 J
P is the power output =?
t is the time period = 0.9 sec
The power output is given as;
[tex]\rm P = \frac{E}{t} \\\\ \rm P = \frac{66}{0.9} \\\\ \rm P = 73.3 \ watt[/tex]
Hence power developed by a model rocket engine will be 73.3 watts.
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The form of energy transfer that takes place in a house heated by forced air is
primarily
(A) convection.
(C) radiation.
(B) conduction.
(D) work.
(A) convection
would be your anwser
Questions #11, 12, and 13:
Part 1 of 3: 2.4 cm³ of water is boiled at atmospheric pressure to become 4514.7 cm³ of steam, also at atmospheric pressure. Calculate the work done by the gas during this process. The latent heat of vaporization of water is 2.26 × 10⁶ J/kg. Answer in units of J.
Part 2 of 3: Find the amount of heat added to the water to accomplish this process. Answer in units of J.
Part 3 of 3: Find the change in internal energy. Answer in units of J.
During the isobaric expansion;
work done by the gas is 457.2 Jheat absorbed by the water is 4520 Jthe change in internal energy of a system is 4062.8 J.What is the work done by a gas in an isolated process?The work done by a gas in an isolated expansion is the product of pressure and change in volume.
[tex]W = p\times \Delta V[/tex]
1 atm = 101325 Pa
2.4 cm³ = 2.4 × 10^-6 m³
4514.7 cm³ = 4514.7 × 10^-6 m³
[tex]W = 101325 Pa \times (4514.7\times 10^{-6} m^3 - 2.4\times10^{-6} m^3) = 457.2 J \\ [/tex]
Thus, work done by the gas is 457.2 J
Tje Heat absorbed by the water during vaporization process is calculated using the formul:
Q = m×ΔHvapmass of water = density × volume
mass of water = 1 g/cm³ × 2.4 cm³ = 2 g = 0.002 kg
Q = 0.002 kg × 2.26 × 10⁶ J/kg
Q = 4520 J
Thus, heat absorbed by the water is 4520 J
The change in internal energy, ΔU of a system is given as the heat absorbed minus the work done by the system.
[tex]\Delta U = Q-W [/tex]
ΔU = 4520 J − 457.2 J = 4062.8 J
Therefore, the change in internal energy of a system is 4062.8 J.
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Try moving the magnet in the different ways described in the table below,. Record your observations in the second column of the table. MotionMove the magnet straight through the coil, leading with the north pole. Once the magnet is completely through, move it back to its original position. Move the magnet straight through the coil, only this time leading with the south pole. Once the magnet is completely through, move it back to its original positionPut the magnet in the center of the coil, but don't move it. Put the magnet on the outside of the coil. Repeatedly move it up and down while outside of the coil. Keeping the magnet outside of the coil. Repeatedly move it back and forth horizontally.Place the magnet back inside of the coil. Now repeatedly switch the polarity of the magnet by pressing the button toward the bottom-right of the page over and over again.
Base on the experiment, we can deduce that the working principle of most electric generators is based on spinning a permanent magnet near coils of wounded wire.
What is Faraday's law of electromagnetism?Faraday's law of electromagnetism states that the negative rate of change of time (Δt) of the flux of the magnetic field (∅) through a surface is directly proportional to the flux (∅) of the electric field through a surface that has the loop as its boundary.
Electric generators are primarily designed and developed to use the properties of electromagnetism to convert kinetic energy (KE) that is possessed due to motion, into electrical energy. Thus, we can deduce that the mode of operation or working principle of most electric generators is based on spinning a permanent magnet near coils of wounded wire.
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Answer:we can deduce that the working principle of most electric generators is based on spinning a permanent magnet near coils of wounded wire.
Explanation: