The magnetic flux through the coil is 667.38 mWb. Magnetic flux is an important concept in electromagnetism and is used to calculate the force on a conductor in a magnetic field
Magnetic flux is a measure of the strength of a magnetic field passing through a surface. It is defined as the product of the surface area and the component of the magnetic field perpendicular to that surface.
The unit of magnetic flux is the weber (Wb), which is defined as the amount of magnetic flux that produces an electromotive force of one volt in a conductor that is completely enclosing a flux of one weber.
The magnetic flux through the coil is given by the equation:
φ = BAcosθ
where φ is the magnetic flux, B is the strength of the magnetic field, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the surface of the coil.
In this case, the magnetic flux is given by:
φ = (0.70 T) * (π * (15 cm)^2) * cos(20o)
= 667.38 mWb
Note that the magnetic field strength is in tesla (T), the radius of the coil is in centimeters (cm), and the magnetic flux is in milliwebers (mWb).
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an object with a mass of 10 kg is initally at rest at the top of a fricitonless incliiined plane that rises at 30 degress above the hhroizontal. the coefficient of kinetic friction between the hroizontal surface and the object is 0.2, and air resistance is negligible. find d
The acceleration is 3.2m/s².
According to the question,
An object with a mass of 10kg is sliding on a surface inclined at an angle θ=30° with the horizontal.
mass, m = 10kg
angle = 30°
the coefficient of kinetic friction between the horizontal surface and the object is (μ)= 0.2
let, acceleration = a m/[tex]s^{2}[/tex]
N=mgcos30°=mg[tex]\frac{\sqrt{3} }{2}[/tex] ( cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] )
The static friction force, fs=μN=μmg [tex]\frac{\sqrt{3} }2}[/tex]
We know that,
mgsinθ−fs=ma
⇒mgsin30°−μmg [tex]\frac{\sqrt{3} }{2}[/tex] =ma ( substitute the value)
⇒[tex]\frac{g}{2}[/tex]−μg[tex]\frac{\sqrt{3} }{2}[/tex] = a
⇒ [tex]5 - (5\sqrt{3} )(0.2) = a[/tex] ( substitute the value)
⇒a = 3.2 m/ [tex]s^{2}[/tex]
So, the acceleration is 3.2m/s².
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atp is considered a high-energy molecule. when atp undergoes hydrolysis to adp, how much energy is produced?
a. 7.3 kcal/mole is required
b. 14.6 kcal/mole is released
c. 7.3 kcal/mole is released
d. 21.9 kcal/mol is released
The molecule ATP is regarded as having great energy. Energy is generated at a rate of 7.3 kcal/mol during the hydrolysis of ATP to ADP.
To keep the cell running continually, ATP must be replenished. Normally, ATP is present in cells in concentrations of 1 to 10 uM.
Describe hydrolysis.
When chemicals and water interact chemically, the result is hydrolysis, which decomposes both the material and the water.
Reactions involving salts, carbohydrates, proteins, lipids, etc. can undergo hydrolysis.
In catabolic processes, organic materials are typically hydrolyzed with the aid of enzymes.
Polysaccharides are broken down into monosaccharides, glycerol and fatty acids into lipids, and amino acids into proteins.
Hydrolysis is regarded as a crucial phase in the breakdown of silicate and aluminosilicate glasses, ceramics, and minerals because it destroys the bond network in silicates.
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g after the first 15 seconds of intense exercise, such as sprinting or power lifting, most of the energy is provided by
During the first 15 seconds of intense exercise, such as sprinting or powerlifting, most of the energy is provided from phosphocreatine. Followed by energy via anaerobic glycolysis and finally aerobic metabolism
Most of the energy is provided by phosphocreatine.
Phosphocreatine is the phosphorylated form of creatine. It is primarily found endogenously in the skeletal muscles of vertebrates where it serves a critical role as a rapidly acting energy buffer for muscle cell actions like contractions via its ability to regenerate adenosine triphosphate (ATP) from adenosine diphosphate (ADP).
Anaerobic glycolysis is the transformation of glucose to lactate when limited amounts of oxygen are available. Anaerobic glycolysis is only an effective means of energy production during short, intense exercise.
Aerobic metabolism refers to an energy-generating system under the presence of oxygen as opposed to anaerobic, i.e., oxygen independent metabolism. Aerobic metabolism uses oxygen as the final electron acceptor in the electron transport chain and combines with hydrogen to form water.
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what is the correct pathway for the movement of sound waves through the human ear? 1. vibrations of the eardrum cause the ossicles to vibrate. 2. pressure waves move from the oval window to the vestibular canal, then to the tympanic canal. 3. ossicles vibrate against the oval window. 4. sound waves move through the outer ear canal. 5. waves strike the round window. question 6 options: 2, 1, 4, 3, 5 3, 1, 5, 4, 2 4, 1, 3, 2, 5 5, 2, 3, 1, 4 4, 3, 2, 1, 5
The eardrum vibrates in response to incoming sound waves, and three small bones in the middle ear receive these vibrations. The names of these bones are malleus, incus, and stapes.
How do waves behave physically?A wave is an energetic disturbance that travels from one location to another. When ever a wave propagates, simply energy, no matter, is changed. The medium is that material through which a wave travels. That medium repeatedly oscillates back and forth.
How might waves be defined?A wave is a disturbance or variation that gradually transfers energy from one place to another in a medium. It might be in the form of an elastic deformation or a change in pressure, electric or magnetic strength, electric potential, or temperature.
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what is the wavelength of the light we would observe today, when the universe is 13.7 billion years old?
Since light travels at a finite speed, if we witness an object 13 billion light years distant, the light has been moving in our direction for 13 billion years. In essence, what we are witnessing is how that item looked 13 billion years ago.
The cosmos is 13.7 billion years old, but how can we know this?
Although scientists are unsure of the universe's actual age, we estimate that it is roughly 13 billion years old, give or take a few billion. Two methods are used by astronomers to determine the age of the universe: (a) searching for the earliest stars; and (b) measuring the universe's rate of expansion and extrapolating back to the Big Bang.
The age of the universe is 13.8 billion light-years?
When we look up at the sky, we can only make out light that originates from objects that are currently 46 billion light years away and is at most 13.8 billion years old. Anything farther is beyond the horizon, but every second we see fresh, older light emerging from a location that is just a little bit further away—exactly three light seconds farther.
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a current of 1.52 a is observed flowing through the cell for a period of 2.61 h . calculate the amount of charge flowing through the circuit during this time.
The quantity (the amount) of charge on the object will depend on the total number of electrons added to or subtracted from it.
"Q" stands for charge, while "C" stands for Coulomb. Mathematically speaking, the charge on a single electron is equal to a very little quantity of charge. Amperes are the units used to measure electric current; the ampere is represented by the letter A. A coulomb traveling through a spot in a wire in one second is equal to one ampere. I = Q t, where Q is the amount of charge passing a location in a certain amount of time, t I = 0.4 A t=1 hr=3600 s, allows us to determine current.
Charged Q=it=0.43600=1440 C.
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Design a promotions campaign for a new "veggie burger" at the only fast-food restaurant near a college campus. Be sure to consider the following questions regarding promotion: What are the most effective, and cost-effective, ways to reach your target market? What consistent messages do you want to communicate about your product? When is the best time to promote your product? How do competitors promote their products? How effective are they?
Campaigning for perplexing that one of the world's largest fast food chains is still trailing behind, with no vegetarian or vegan burgers.
What is campaign ?
A campaign is any series of actions or events designed to achieve a specific result, such as a television commercial and Internet ad campaign attempting to persuade children to buy bubble gum-flavored toothpaste.
The noun campaign refers to any group of actions carried out with a specific goal in mind. A political campaign's purpose is to elect a candidate to office. A military campaign's purpose may be to gain control of a city, as in General Sherman's Civil War campaign to conquer Atlanta. Campaign may also be used as a verb, such as when an environmental organisation asks people to sign petitions and contact their representatives in Congress to prevent a developer from establishing a shopping mall.
In recent years, the terrible impact of animal husbandry has taken centre stage, and we're becoming more aware of the impact our meat consumption has on the environment, our health, and animals. Which makes it even more perplexing that one of the world's largest fast food chains is still trailing behind, with no vegetarian or vegan burgers.
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8.how does distance affect the force of attraction between two oppositely charged particles? what does say about the interaction of like and differently charged particles?
Increasing the distance between objects reduces the attraction or repulsion between them.
When the distance between two charges is doubled, the attractive or repulsive force becomes weaker and drops to a quarter of its original value. If the charge is 10 times closer, the magnitude of the force will be 100 times greater. The magnitude of the force is proportional to the value of each charge.
Therefore, the strength of bonding between ions of opposite charge in an ionic compound depends on the charge of the ions and the distance between the centers of the ions as they are packed into the crystal. If the two charges held are unequal, the electrostatic force increases with distance.
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a generator consists of a square coil of 60 turns rotating in a 0.55-t magnetic field. the frequency of this generator is 60.0 hz, and the root mean square (rms) voltage it generates is 120 v. what total length of copper wire do you need to make the coil? (hint: convert from rms voltage to peak voltage first.)
The total length of the copper wire is 28.008 m.
Calculate the angular frequency:
ω = 2 π f
ω = 2 × 3.14 × (60.0 Hz)
ω = 376.991 rad/s
Calculate the peak voltage:
V₀ = √2 × Vrms
V₀ = √2 × 120 V
V₀ = 169.706 V
The expression for the peak voltage and substitute the corresponding values to calculate the area of the square coil.
V₀ = NBAω
169.706 V = ( 60 ) × ( 0.55 T ) × ( A ) × ( 376.991 rad/s )
A = 0.01364 m²
The expression for the area of the square coil and substitute the corresponding values to calculate the side of the square:
A = L²
∴ L² = 0.01364 m²
∴ L = 0.1167 m
The total length of the wire to make the coil:
L(total) = (4N)L
L(total) = 4 × 60 × 0.1167
L(total) = 28.008 m
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two point masses m and m are separated by a distance d. if the distance between the masses is increased to 3d, how does the gravitational force between them change?
The gravitational force between them change is force will be one-ninth as great.
It is possible to think of the gravitational force as an attracting force that pulls all mass-containing physical objects together. It is the known natural force with the lowest strength. Gravitational force is the name for the force that the earth exerts on a body. As an illustration of motion caused by gravity, consider how leaves and fruits fall to the ground from trees, how water flows down rivers, or how a ball tossed into the air flies to a height before falling back to earth. The universal force of attraction operating on all matter is known as gravity, usually spelled gravitation, in mechanics. It plays no part in determining the interior properties of common stuff because it is by far the weakest force in nature that is known to exist.e.
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a marble moves along the x-axis. the potential-energy function is shown in the figure (figure 1) .
At b Fx =0 of the labeled x-coordinates is the force on the marble zero.
As per the details share in the given figure,
Are as bellow,
At b x-coordinates is zero as,
A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of the many spatial reference systems in use, it is the most basic, traditional, and often utilized. It also serves as the foundation for the majority of other systems.
F = -dU/dx ,
Depending on whether F is lowest or maximal, v.
B is the regional minimum in the presented graph.
The slope of the provided curve's tangent at b is thus zero.
A line's slope, often known as its gradient, is a numerical representation of the line's elevation change and course.
so dv/dx =0
Therefore at b Fx =0
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Note:- The correct question would be as bellow,
A marble moves along the x-axis. The potential-energy function is shown in the figure below.
(a) At which of the labeled x-coordinates is the force on the marble zero?
abcd
when a light ray moves from air into glass, which has a higher index of refraction, its path is
The light bends towards the normal line
If light enters any substance with a advanced refractive indicator similar as from air into glass it slows down.
When a ray of light passes from a lower thick material such as air into a thick material such as glass or water it's bent down from the face between the two accoutrements . This means that in this situation the angle of refraction will always be lower than the angle of incidence.
The angle of refraction is lower than the angle of incidence. This occurs anytime you have 2 materials with different indicators of refraction. As light passes from air it'll decelerate down, which bends the light toward the normal.
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what direct evidence do we have that the weak and electromagnetic forces were once unified as a single electroweak force?
Answer:
There is direct evidence that the weak and electromagnetic forces were once unified as a single electroweak force from the study of subatomic particles.
Explanation:
The discovery of the W and Z bosons, which are particles that mediate the weak nuclear force, provided strong evidence that the weak force was once part of a larger electroweak force. The fact that the W and Z bosons have electric charge, and that their masses are related to the masses of the photon (the particle that mediates the electromagnetic force), supports the idea that the weak and electromagnetic forces were once part of a single electroweak force. Additionally, the mathematical symmetry of the electroweak theory, which unifies the weak and electromagnetic forces, provides further evidence for this theory.
How would the photo's setup change the mechanical advantage
of lifting the block as compared with lifting the block without a lever?
answer choices
The mechanical advantage would decrease, making the block more difficult to lift
The mechanical advantage would remain the same.
The mechanical advantage would increase, making
it would change it for it's format and identify it
earth is closer to the sun in january than in july. therefore, in accord with kepler’s second law:
Earth is closer to the sun in january than in july. therefore, in accord with Kepler’s second law: Earth travels faster in its orbit around the sun in january than in july.
In January, Earth orbits the sun more quickly than in July. According to Kepler's second law, planets cover equal regions in equal amounts of time. Because the Earth is nearer the Sun in January than it is in July, it must move around its orbit more quickly in January than it does in July in order to cover the same area in the same period of time.
Kepler's Law:-
According to Kepler's First Law, the Sun is one of the two foci of an elliptical planet's orbit.according to Kepler's Second Law, A line segment connecting a planet to the Sun sweeps away equal areas at equal times.Simply said, the planet moves faster as it gets closer to the sun and slower as it moves away from the sun.
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a catapult launches a rock at a angle with respect to the horizontal. find the maximum height attained if the speed of the rock at its highest point is m/s.
The maximum height is 15.3m
The speed of the rock is -9.8m/s
Solution:
v(horizontal) = v0 cos 30 = 30
v0=30/cos30=34.6m/s
Therefore the initial vertical velocity is v0 sin30 =
34.6 sin30=17.3m/s
if the initial vertical speed is 17.3m/s, we can use
vfy^2=v0y^2+2ad
vfy = final y velocity=y vel at max height =0
v0y = initial y velocity = 17.3 m/s
a = accel = -9.8m/s/s
d = height
0 = 17.3^2-2(9.8)d
d = 17.3^2/19.6 = 15.3 m
Velocity is the distance traveled per unit of time, the speed of movement. The speed of a car traveling on a smooth, flat section of a highway without traffic congestion is constant and not zero. Acceleration is the rate of change of velocity. The reason is simple. Velocity is the percentage of time an object moves along a path and Velocity is the speed and direction of an object's movement.
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Which of the following radiations has a wavelength longer than that of visible light?
A
X-ray waves
B
Gamma waves
C
Ultraviolet waves
D
Infrared waves
Infrared waves are radiations that have a wavelength longer than that of visible light. Thus, option D is the correct answer.
Electromagnetic radiation includes infrared light and waves. People come into touch with infrared radiation every day, which is heat-producing but invisible to the human eye.
Due to their longer wavelengths than visible light, infrared waves can travel across crowded areas of gas and dust in space without being significantly scattered or absorbed. As a result, employing optical telescopes, infrared energy can also show celestial objects that are invisible to the human eye.
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The motion of the piston in an automobile engine is oscillatory as the piston travels back and forth. If the piston makes 2,000 complete cycles every minute, what is the period of the motion of the piston
a. 0.5 ms
b. 30 ms
c. 2.0 s
d. 33.3 s
The time period of the piston is b. 30ms
What is Time period?The Time Period is the length of time required for a single complete oscillation to take place. T symbolizes for Time period.The SI unit of Time period is seconds(s)The frequency is the quantity of vibrations or repetitions of an event per unit of time. Hertz units are used to measure frequency.To calculate Time period we have,
T=[tex]\frac{t}{N}[/tex]
Where,
T is time period,
t is time taken by piston,
N is number of cycles.
We are given that
t= 1 min = 60 sec
N= 2000
T=[tex]\frac{t}{N}[/tex]
T =[tex]\frac{60}{2000}[/tex]
T = 0.03 s
T = 30 × [tex]10^{-3}[/tex]
T = 30 ms.
Therefore the time period taken by the piston = 30 ms.
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determine the minimum value of the coefficient of static friction which will prevent the blocks from moving in a pulley system
The minimum value of the coefficient of static friction which will prevent the blocks from moving in a pulley system is Fs=μsFN.
Create an inclination plane out of one of the materials, then place a body made of the other material on it to determine the minimum coefficient of static friction between the two. Up until the body begins to slide, steepen the incline. The coefficient of friction is the angle's tangent. A force that opposes motion is friction. Both static and kinetic friction work to keep a body at rest and to slow down its motion once it is moving. The normal force (FN), also known as the force produced perpendicularly by a body against the surface along which it is traveling, is proportional to the force generated by static friction (Fs). Fs=μsFN.
The properties of the two surfaces that are in contact with one another affect this coefficient.
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an a/c unit consumes 12,000 btu of electricity to remove 24,000 btu of heat from a house. what is the coefficient of performance (cop)? how much heat is rejected to the outdoors?
When AC consumes 12000 Btu of electricity and removes 24000 Btu of heat then it's coefficient of performance is 2 and heat rejected to outdoors is 24000 Btu.
The COP of a refrigerator or air conditioning system is a ratio of useful heating or cooling provided to work (energy) required. Higher COPs indicate higher efficiency, lower energy (power) consumption, and thus lower operating costs.
Given,
[tex]W_{supply}[/tex] = 12000 Btu
[tex]Q_{removed}[/tex] = 24000 Btu
Here, W- Electrical energy or work done on the Ac
[tex]Q_{removed}[/tex] = Total quantity of heat removed from house
The formula for the coefficient of performance of the Ac can be written as,
[tex]COP=\frac{Q_{removed}}{W}\\\\=\frac{24000}{12000}\\\\=2[/tex]
Hence, the coefficient of performance is 2.
The total heat rejected to the outdoor from the hose is,
[tex]Q_{rejected}=Q_{removed}[/tex] = 12000 Btu
Hence, the heat rejected to the outdoors is 24000 Btu.
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the first students launches the ball with a velocity of 11.2 m/s in the x direction and 6.9 m/s in the y direction. what is the time the football takes to complete its flight path?
The time the football takes to complete its flight path is 1.04 sec.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
Calculation:-
Time of flight depends on the y direction
V in y direction is = 6.9 m/s
V² = U² - 2gh
h = u²/2g
= 47.61 /2 * 9.8
= 2.43 m
Time of flight = 2U/g
= 2 * 6.9 / 9.8
= 1.4 second.
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The chemical equation for the combustion of pentaborane is as follows:
2 B5H9 + 12 O2 => 5 B2O3 + 9 H2O
The energies of the different chemicals are as follows:
2 B5H9 is equal to 146.4 kJ/mol
12 O2 is equal to 0 kJ/mol
5 B2O3 is equal to -6363.85 kJ/mol
9 H2O is equal to -2176.38 kJ/mol
Calculate the energy difference between the products and reactants and determine if the reaction is exothermic or endothermic
The energy difference of the given reaction is -8686.63 kJ/mol
The reaction is an exothermic reaction.
What is the energy difference of a reaction?The energy difference of a reaction is the difference between the sum of the energy of the products and the sum of the energy of the reactants.
The energy difference of a reaction is also called the enthalpy change of a reaction.
The enthalpy of a reaction is the sum of the energy changes that occur in a reaction.
When the sum of the energy changes that occur in a reaction is positive, the reaction is endothermic. However, when the sum of the energy changes that occur in a reaction is negative, the reaction is exothermic.
The energy difference of the given reaction is determined as follows;
The energy of products = -6363.85 kJ/mol + (-2176.38 kJ/mol)
The energy of products = -8540.23 kJ/mol
The energy of reactants = 146.4 kJ/mol + 0 kJ/mol
The energy of reactants = 146.4 kJ/mol
The energy difference = -8540.23 kJ/mol - 146.4 kJ/mol
The energy difference = -8686.63 kJ/mol
The reaction is, therefore, an exothermic reaction.
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A worker pushes a 22.0 kg barrel, giving it an initial velocity of 6.8 m/s. Calculate the displacement of the barrel before it stops if the force of friction acting on the barrel is 36 N.
Answer:
14 m
Explanation:
The force of friction has to do work equal to the barrel's kinetic energy for the barrel to stop.
work = f * d and KE = 1/2 mv^2
36 N * d = 1/2 (22 kg)(6.8 m/s^2)
d=~ 14 meters
most of the radiation released from the failed nuclear reactor was from fission products t or f
Cesium-134, cesium-137, and iodine-131. According to UNSCEAR, iodine-131 has a half-life of only eight days, yet it is quickly inhaled through the air and has a tendency to concentrate in the thyroid gland.
What reactor exploded as a result of failure?A low-power test on the Chernobyl nuclear reactor power plant's Number Four RBMK reactor went awry on April 26, 1986, resulting in an explosion and fire that destroyed the reactor building and spilled a significant amount of radioactivity into the atmosphere.
What led to Chernobyl's failure?After the SCRAM began, there was a significant power increase that caused the core to overheat. A few seconds later, this overheating led to the initial explosion. Several of the fuel rods cracked and became obstructed.
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22. Vernier calipers read to one tenth of a millimetre.
Which reading shows this precision?
A
3.3 cm
B 3.31 cm
C 3.310cm
D 3.312 cm
[5054
The reading which shows the precision of a Vernier calipers reading to one tenth of a millimeter is 3.31cm. Thus, the correct option is B.
What is Vernier calipers?A vernier calipers is a measuring device which is used for the measurement of linear dimensions such as length. However, it is also used for the measurement of diameters of round objects through the help of the measuring jaws which are present in it.
Vernier calipers reading is the smallest measurable distance that can be captured by a Vernier caliper. It is termed as the resolution of the Vernier caliper. The resolution of metric Vernier calipers varies from 0.02mm to 0.05mm that is it reads to one tenth of a millimeter unit. Thus, 3.31cm is a precise reading.
Therefore, the correct option is B.
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which factor will not affect the strength of a solenoid? question 13 options: number of wraps strength of current radius of the wraps core type
The factor that will not affect the strength of a solenoid will be the radius of the wraps. So option c. is correct.
Solenoids are simple components that can be used for various applications. A solenoid is a long piece of wire which is wound in the shape of a coil. When the electric current passes through the coil it creates a relatively uniform magnetic field inside the coil. The solenoid can create a magnetic field from electric current and this magnetic field can be used to generate a linear motion with the help of a metal core.
The solenoid simply works on the principle of electromagnetism. The magnetic strength of the solenoid can be increased by increasing the density of the turns or by increasing the current flow in the coil.
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a linebacker strikes a side referee with a force of 100 n (on accident of course). the linebacker is in contact with the referee for 0.10 s. what is the magnitude of the change in momentum of the referee?
The magnitude of the change in momentum of the referee will be 10 Ns.
What does a momentum unit change mean?Mass times velocity equals mass (M) times momentum (P) (v). However, there are alternative perspectives on momentum. The change in momentum (P) over the time period (t) equals force (F). And the impulse is equal to the shift in momentum (P) (J). The units for momentum and impulse are kg*m/s and N*s, respectively.
How to calculate change in momentum or Impulse?Given, Force = 100N
time = 0.1. s
Impulse, J = F.t
J = 100×0.1
J or Δp = 10 Ns
The magnitude of the change in momentum of the referee will be 10 Ns.
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an unkniown tuning fork is osudned along with a tiuning fork wjopse frequency is 256hz and beqat frquency of 3hz is hesr. what is the frequnct of th ekniown tuining fork
The unknown frequency is 253Hz or 259Hz
The beat frequency fbeat = f1 ± f2
Taking f1 = 256Hzand f beat = 3Hz
we get the unknown frequency f2 = 253Hz or 259Hz
The frequency of an event is its repetitions per unit of time. [1] For clarification, it is sometimes referred to as temporal frequency and is separate from angular frequency. One event occurs every second, or one hertz (Hz), when measuring frequency. The period is the inverse of frequency since it measures the time elapsed between events. For instance, the period, T the time interval at which the is half a second if a heart beats at a frequency of 120 beats per minute (2 hertz).
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a projectile is fired from the surface of hte earth with a speed of 200 meters per second at a an angle of 30 degrees above the horizontal. if the ground is level what is the max height reached by the projectile
Answer:
506.68 meters
Explanation:
When you launch a projectile at an angle θ from the horizontal, the initial velocity of the projectile will have a vertical and a horizontal component.
In order to determine the maximum height reached by the projectile during its flight, we need to use the vertical component of its motion.
We can use the equation below to find the maximum height.
[tex]h_{max} =\frac{v_o^{2}sin^2(B) }{2g}[/tex]
We are given
[tex]v_o=200[/tex]
[tex]B=30[/tex]
[tex]g=9.81[/tex]
Lets evaluate [tex]h_{max}[/tex].
[tex]h_{max} =\frac{200^{2}sin^2(30) }{2*9.81}[/tex]
[tex]h_{max} =\frac{40000^{2}sin^2(30) }{2*9.81}[/tex]
[tex]h_{max} =\frac{40000(\frac{1}{2})^2 }{2*9.81}[/tex]
[tex]h_{max} =\frac{40000(\frac{1}{4}) }{2*9.81}[/tex]
[tex]h_{max} =\frac{10000}{2*9.81}[/tex]
[tex]h_{max} =\frac{10000}{19.62}[/tex]
[tex]h_{max} =509.68[/tex]
a pendulum has a period of 2.50 s on earth. part a what is its period on mars, where the acceleration of gravity is about 0.37 that on earth? express your answer using two significant figures. to mars
The time period of pendulum on mars is 4.16 s.
A pendulum is a machine in which a point mass is hung from fixed support by an inextensible string. The length of the simple pendulum is the vertical distance between the point of suspension and the suspended body's centre of mass.
We know that, the time period of pendulum is inversely proportional to the square root of acceleration due to gravity.
T₁/ T₂ = √(g₂ / g₁)
Given that, T₁ = 2.5 s
g₂ / g₁ = 0.37
Placing the values in the above equation,
2.5/ T₂ = √ 0.37
2.5² = T₂² * 0.37
T₂² = 2.5² / 0.37
T₂² = 16.89
T₂ = 4.16 s
Thus, the time period of pendulum on mars is 4.16 s.
To know more about time period:
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