The direction cosines of a→+b→, are
cos ∝ = 0.5232 cos β = 0.8065 cos γ = 0.2933Given data:
a = 4i^ + 7j^ - 5k^
b= 3i^ + 4j^ + k^
Calculate the direction cosines of a→+b→a→+b→ = 7i + 11j - 4k
( a→+b→ ) / | a→+b→ | = ( 7i + 11j - 4k ) / [tex]\sqrt{7^2 + 11^2 + 4^2 }[/tex]
= ( 7i + 11j - 4k ) / 13.64
= 0.5232 i + 0.8065 j + 0.2933 k
Therefore the direction cosines are
cos ∝ = 0.5232
cos β = 0.8065
cos γ = 0.2933
Hence we can conclude that the direction cosines of a→+b→ are as listed above.
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A torsional oscillator has a period of 0.45 s. If its rotational inertia is 0.25 kg-m2, what is the torsional spring constant of its spring
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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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:
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:
part b
The EPA examines six air pollutants to assess air quality. These pollutants are listed in the table. To learn more about them, conduct research using the search term "EPA six common air pollutants." Use your research to fill in the table.
part c
In 1970, the US Congress passed the Clean Air Act to combat increasing levels of harmful pollution in the atmosphere. The law was amended in 1977 and 1990 to make major improvements. Read a brief summary about the Clean Air Act. Then read about how our nation's air status and trends have changed since this law was passed. As you’re reading and scrolling through the nation’s air quality trends, list three positive or negative outcomes of the Clean Air Act.
part d
This image from the EPA shows the projected benefits and costs from the most recent amendments to the Clean Air Act. A net improvement in economic welfare is projected because cleaner air leads to better health and productivity for American workers. It also reduces medical expenses for air pollution-related health problems.
Answer:
Part C is the first one and Part D is the second one. hope this helps you a lot because i did for me and I got a A+
Explanation:
Positive Outcome :
Cleaner lungs.
Decreased asthma and allergies symptoms.
Improved skin appearance.
Helps digestion.
Psychological and emotional stabilizer.
Better mood and normalized sleep patterns.
Reduce chances of lung, heart, and arterial diseases.
Negative Outcome :
According to the EPA, when we are exposed to high levels of hazardous air pollutants for an extended period of time .
We face a greater risk of suffering serious health effects, including respiratory diseases, neurological disorders, reduced fertility, damage to our immune system, and increased risks of getting cancer.
One of the health hazards that suprised me is that outdoor pollution is associated with hearth attacks. I know that outdoor pollution causes lung problems whether that's asthma attacks or bronchitis, but I didn't know about heart attacks. Apparently, air pollution can trigger heart attacks, stroke, and irregular heart rhythms. People who are already at risk for these conditions are more likely to have any of those. Air pollution causes damage to the inside walls of your blood vessels, causing them to become narrower and harder. Along with that, there are many different positives and negatives that came from the Clean Air Act some of which are more of these one that I explained on the top.
A summary paragraph evaluating the Clean Air Act in terms of cost and effectiveness given below.
What is pollution?The contamination of air or water or land by the human waste or chemicals is called as pollution.
Positive Outcomes are -
Cleaner lungs.Diminished asthma and sensitivities side effects.Further developed skin appearance.Helps absorption.Mental and close to home stabilizer.Better temperament and standardized rest designs.Lessen chances of lung, heart, and blood vessel illnesses.Negative Outcome is -
As indicated by the EPA, when we are presented to elevated degrees of perilous air poisons for a lengthy timeframe .
We face a more serious gamble of experiencing serious wellbeing impacts, including respiratory sicknesses, neurological issues, decreased fruitfulness, harm to our insusceptible framework, and expanded dangers of getting malignant growth.
The outside contamination is related with hearth assaults. Open air contamination causes lung issues like asthma assaults or bronchitis . Air contamination can set off coronary episodes, stroke, and sporadic heart rhythms. Air contamination makes harm within walls of your veins, making them become smaller and harder.
Thus, the Clean Air Act is explained.
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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 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)
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।।
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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:
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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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)
The chemical combination of atom a and atom b would result in
Answer:
A molecule
Explanation:
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.
Q1. Explain the conservation of energy in terms of the energy transformation(s) that occur when you strike (light) a match.
Q2. When you turn on a lamp at home you are using electricity generated by a power company or public utility. Assume the electricity powering the lamp was generated at a coal burning power plant and explain the conservation of energy in terms of the energy transformations that occur when you turn on the lamp.
Q3. Unless you push a pendulum at the start of it's swing (doing work to give it extra energy), will it ever swing higher than it's starting point? Explain your answer in terms of kinetic and potential energy.
Q4. Does a pendulum swing forever? Why or why not?
Q5. Unless you push a pendulum at the start of it's swing (doing work to give it extra energy), will it ever swing higher than it's starting point? Explain your answer in terms of kinetic and potential energy.
Q6. Describe the transformations between potential and kinetic energy when you drop a 15000 gram television from a height of 0.8 meters.
Q7. A car with a mass of 860 kg sits at the top of a 32 meter high hill. Describe the transformations between potential and kinetic energy that occur when the car rolls to the bottom of the hill and continues rolling.
Q8. How is the previous problem different from ones where the object comes to a stop at the end of moving/falling? Discuss what happens to the energy in each case and how they are different.
Q9. Describe the transformations between potential and kinetic energy that occur when a 1000 kg rock falls from the top of a 18 meter cliff.
Q10. How much kinetic energy does a 2000 gram ball have the instant before it hits the ground after falling from a height of 6 meters?
Q11. Assume the collision in problem 10 is perfectly elastic (no energy is lost) and there is no air friction. How high should the ball bounce? Describe the transformations between potential and kinetic energy that will occur from when the ball is dropped till it reaches the top of it's first bounce.
1) when we light a matchstick,the energy which got consumed in while rubbing the matchstick against the surface,turns into heat and hence ,it lights , therefore,the energy gets transferred from one type to another which proves the law of conservation of energy.
2) The coal gets burn and generate into electricity which further used by us for various purposes like lighting lamp and since the energy gets transferred from one source to another instead of ceasing, it proves the statement of conservation of energy.
3) As the pendulum swings in air , it continues to move from one point to another, changing potential energy to kinetic energy due to the motion that's taking place and unless an external force interferes, it's speed won't increase as at some point due to the friction by air will resist the movement resulting in decresement of kinetic energy and increased potential energy, thus ,at some point it will come to rest .
4) No ,it doesn't , because due to the force of friction,the disturbance in the movement of it ,takes place, making it stop at a specific point after some time.
5) As the pendulum swings in air , it continues to move from one point to another, changing potential energy to kinetic energy due to the motion that's taking place and unless an external force interferes, it's speed won't increase as at some point due to the friction by air will resist the movement resulting in decresement of kinetic energy and increased potential energy, thus ,at some point it will eventually come to rest .
6)
Mass (m)⇢15000 gram = 15 kgHeight(h)⇢0.8 metersAcceleration due to gravity(g)⇢9.8m/s²Potential energy ⇢mghPotential energy ⇢(15 x 9.8 x 0.8 )JPotential energy ⇢117.6 J7)
Mass (m)⇢15000 gram = 860 kgHeight(h)⇢32metersAcceleration due to gravity(g)⇢9.8m/s²kinetic energy ⇢mghkinetic energy ⇢(860 x 9.8 x 32 )Jkinetic energy ⇢269,696 J8) In the previous problem ,the kinetic energy increases as continues rolling and the potential energy decreases in this process of prolongation of the movement ,while ,when an object comes to rest after the process of moving or falling, it's potential energy is at the highest while the kinetic energy is just the opposite .
9)
Mass (m)⇢ 1000kgHeight(h)⇢18 metersAcceleration due to gravity(g)⇢9.8m/s²Kinetic energy ⇢mghKinetic energy ⇢(1000x 9.8 x 18 )JKinetic energy ⇢176,400 J10)
Mass (m)⇢ 2000 gm = 2kgHeight(h)⇢6metersAcceleration due to gravity(g)⇢9.8m/s²Kinetic energy ⇢mghKinetic energy ⇢(2x 9.8 x 6 )JKinetic energy ⇢117.6 J11)
In perfectly elastic collision, there's no loss of energy, hence ,the energy that got used up in the starting to bounce the ball ,will remain the same throughout the whole collision and the height would be the same 6 meters and kinteic energy would be 117.6J
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
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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What is average velocity?
Answer:
amount of displacement divided by the time the displacement occurs
Explanation:
Best answer of those given
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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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’.
Need help asap
Describe the subatomic particles of an atom and where they are located.
↪Nucleons include protons and neutrons. All the positive charge of an atom is contained in the nucleus, and originates from the protons. Neutrons are neutrally-charged. Electrons, which are negatively-charged, are located outside of the nucleus.
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The nucleus of an atom of any chemical element comprises three (3) distinct subatomic particles and these are:
ProtonsNeutronsElectronsWhat is an atom?An atom simply refers to the smallest, basic (fundamental) and indivisible unit which comprises the matter that forms all chemical elements.
The subatomic particles of elements.Based on scientific information, the nucleus of an atom of any chemical element comprises three (3) distinct subatomic particles and these include the following;
Protons: they are positively charged and located within (inside) the nucleus of an atom.Neutrons: they are neutrally charged and located within (inside) the nucleus of an atom.Electrons: they are negatively charged and located outside the nucleus of an atom.Read more on atoms here: brainly.com/question/377844
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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
Which of jupiter’s moons is the largest moon in the solar system?.
Answer:
Ganymede
Explanation:
Jupiter’s Moon Ganymede is the largest Moon in the solar system. It’s even larger than the planet Murcury.
I hope it helps! Have a great day!
Muffin ^^
Answer:
Ganymede
Explanation:
The largest moon is Jupiter’s moon, Ganymede. It is the largest out of all the moons we have in our solar system.
I hope it helps! Have a great day!
.-.
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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Am object with a mass of 1298 kg is accelerating at a rate of 17 m/s2 when a net force is applied to it. What is the magnitude of the net force that is acting on the object? Could show how you did it please
Answer: 22,066N
Explanation:
By Newton's second Law of Motion, the force on an object is proprtional to the acceleration of the object. The proportionality constant is the mass of the object:
[tex]F=ma[/tex]
Plug in the mass and accleration of the system:
[tex]F=(1298kg)(17m/s^2)[/tex]
[tex]F=22,066N[/tex]
The units for force are Newtons, or equivalently kg*m/s^2.
What happens to Earth’s surface when horizontal pressure is applied to rocks?
Answer:
They fold to create ridges and valleys perpendicular to the direction to which pressure is applied.
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). :)
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Analysis: (use a separate sheet of paper)
1. Write a scientific explanation about the relationship between frequency, wavelength, and
wave speed. Make sure to cite specific evidence from your investigation.
2. In one or two sentences describe how the frequencies of the different harmonic patterns
are related to each other.
3. If the frequency, increases what happens to the wavelength?
Speed, frequency and wavelength are interconnected to each other.
What happens to the wavelength if the frequency increases?As a wavelength increases in size, its frequency and energy (E) decrease. As the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength gets longer.
The wave speed is equal to the product of its frequency and wavelength, which shows the relationship between frequency and wavelength.
So we can conclude that speed, frequency and wavelength are interconnected to each other.
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A boy swings a 30 g fishing sinker around his head attached to his fishing line. The radius ofthe circular motion of the sinker is 65 cm. The sinker does 2 revolutions per second.
(a) What is the period of rotation of the sinker?
(b) What is the tangential velocity of the sinker?
(c) Calculate the acceleration of the sinker.
Explanation:
a) Peroid = 1/frequency
F = 2 rev. per second = 2Hz
period = 1/2 = 0.5s
b) Tangential velocity(Vt) = ωr, where ω is thr angular velocity(2 * Pi(3.142) * f(frequency)) and r is the radius
Therefore; Vt = 2 * 3.142 * 2 * 0.65(65/100)
= 8.1692
= 8.2m/s
c) a = (V^2)/r where V is the velocity and r is the radius
a = (8.2^2)/0.65
a = 103m/s^2
What is a common characteristic of outer planets?
Answer:
They are all composed of gases.
Explanation:
The inner planets are mainly composed of types of rock. The surface and interior is rocky but the atmosphere is composed of gases. The outer planets happen to be composed mainly of gas, or in other terms, elements. The two primary elements that make up these planets are hydrogen and helium. Because the inner planets are made up of primarily, they have given the nickname the "Terrestial Planets" and the outer planets are called "Gas Giants" because of their gas (elements) composed atmospheres and overall interiors.
Answer: A: they are composed of gas
Explanation:
Radiant energy, capable of traveling through space is called.
Answer:
Electromagnetic Radiation
Explanation:
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