Loretta deposited $350 in a savings account with the 4.5% interest compounded quarterly. The amount at the end of 7 years will be $ 478.75.
Given,
Principal (P) = $350
Number of years (t) = 7
Interest rate (r) = 4.5 % or 0.045
We know that, compounded quarterly means interest is calculated four times in an year. The interest for 7 years will be 4 times the number of years. Here,
the number of compounding per year (n) = 4
so, for 7 years = 4*7 = 28
We know that compound interest is calculated as:
A = P{1+(r/n)}^nt
A= 350 {1+(0.045 /4)}^(4)(7)
A= 350 (1+0.01125)^28
A= 350 (1.01125)^28
A= 478.748 or 478.75
The interest (I) for will be ,
I = A-P = 478.75-350= $128.75
So, we can say that, when Loretta deposits $350 at 4.5% interest compounded quarterly, the amount at the end of 7 years will be $ 478.75.
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an object of mass m is launched at an angle above the horizontal at speed v. find the maximum height g
The maximum height the object reaches is [tex]\frac{v^{2} sin^{2}x}{2g}[/tex].
How to measure the maximum height in projectile motion?When a particle is hurled obliquely near the surface of the earth, it travels along a curved route while accelerating continuously in the direction of the planet's centre (we assume the particle stays close to the surface of the globe). Such a particle's motion is known as projectile motion, and its route is referred to as a projectile. When a particle is sent into the air at a certain speed, the only force acting on it is the acceleration caused by gravity (g). This downward vertical acceleration has an effect. The fact that there is no acceleration in the horizontal direction indicates that the particle's horizontal velocity stays constant.
The highest vertical location along the object's flight is considered to be its greatest height. The range of the bullet is defined as its horizontal displacement. The starting velocity of the item affects the projectile's range.If v is the starting speed, g is the gravitational acceleration, and H is the highest point that may be reached in metres, then is the beginning speed's angle from the horizontal plane (radians or degrees).
The following formula determines the projectile's maximum height:[tex]\frac{v^{2} sin^{2}x}{2g}[/tex]
Here x is the angle.
this can be derived using the equation v^2 = u^2 - 2as where v = 0 m/s and u = usinx.
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What is the frequency of the wave if its time period is 4 seconds?
The frequency of a wave is 0.25Hertz if its time period is 4sec. Frequency is said to be inversely proportional to time period.
Frequency alludes to the quantity of cycles in a specific unit of time. The justification for why the sky is blue or anything contains variety can be effectively made sense of by it. Moreover, it can likewise make sense of why the voice of certain people is profound while for others it isn't profound. Likewise, frequency plays a major effect on the notes of a piano or other instruments.
This number of events is unquestionably a fundamental property of a wave. The waves encompass individuals consistently. Moreover, light is an electromagnetic wave and the fan is a sound wave. A wave is surely a vibration and conveys energy with it. Generally imperative, the quantity of waves passing by each second alludes to the recurrence of the wave. Also, its estimation happens in Hertz (Hz).
So, we know that frequency is defined as inversely proportional to time period.
So, frequency=1/Time period
=>v=1/4
=>v=0.25/sec
or v=0.25Hertz.
Hence, frequency of wave is 0.25Hertz.
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a baseball is thrown from center field to home plate where it is caughe by the catcher. at what point in its travel is the magnitude of the baseball's accelration at a minimum?
Acceleration is constant during entire trajectory.
What is acceleration?Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.Given that,A baseball caught by the catcher which is thrown by the center fielder of same shoulder level. During this whole journey the path followed by a ball is parabolic.
Therefore, ball is in projectile motion.
Let height of shoulder level = h
During projectile motion acceleration of the ball always acts in vertically downward direction of magnitude g, and in there is no acceleration in horizontal direction. Therefore, during projectile motion acceleration is always constant during whole trajectory. So, acceleration is constant during entire trajectory.
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Assume the elevator has a mass of 800kg and is slowing down as it descends at a rate of 2m/s². What is the tension in the cable?
Answer:
Below
Explanation:
It is under the acceleration of gravity at 9.81 m/s^2 and then it starts braking and adding to this at 2 m/s^2 Total = 11.81 m/s^2
F = ma
F = tension = 800 kg * 11.81 m/s^2 = 9448 N
Label the atmosphere layers of a star
Answer:
The layers of a star's atmosphere can include the photosphere, the chromosphere, and the corona. The photosphere is the layer of the star's atmosphere that is visible to us and is the source of the star's light. The chromosphere is the layer above the photosphere and is characterized by its reddish color. The corona is the outermost layer of the star's atmosphere and is characterized by its high temperatures.
Explanation:
If the forces acting on an object are balanced, what must be true about the motion of this object?.
If the forces acting on an object are balanced, so it doesn't cause a change in motion.
The effect of force on the motion of objects1. Force on a stationary object
This force occurs when there is an impulse that is done in the opposite direction with the same force. Then each object emits a force. But because the directions of the forces are opposite to each other, the total force becomes smaller or cancels each other out.
2. Force on moving objects
In this style, when two people push an object together, the position of the object can shift. That's when there is motion caused by more than one force. The forces on objects become mutually reinforcing, so the resulting force becomes greater. Forces that are in the same direction will increase the total force.
3. Force on an object that causes a change in the direction of motion
When someone rides a bicycle then turns the direction of movement. It happens that there is a tensile force and muscle force that deflects the bicycle handlebar. When playing the ball can change the direction of the ball caused by kicks, throws, or punches from players. Then the player exerts a force on the ball that causes the ball to change direction. So here the force plays a role in changing the direction of a moving object.
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a current-limiting circuit breaker performs in a manner similar to conventional thermomagnetic circuit breakers at currents below a threshold of about?
A current-limiting circuit breaker performs in a manner similar to a conventional thermomagnetic circuit breaker at currents below a threshold of about 1000A.
What is Thermomagnetic?The study of the relationships between heat, work, temperature, and energy is known as thermodynamics. The rules of thermodynamics explain how energy in a system evolves and whether a system can make use of its environment to produce productive work.
What is Current?Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it. The more electricity flowing across the circuit, the higher the ampere value.
Hence, a current-limiting circuit breaker performs in a manner similar to a conventional thermomagnetic circuit breaker at currents below a threshold of about 1000A.
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A 70-kg base runner begins his slide into second base when he is moving at a speed of 4. 0 m/s. The coefficient of friction between his clothes and earth is 0. 70. He slides so that his speed is zero just as he reaches the base. (a) how much mechanical energy is lost due to friction acting on the runner? (b) how far does he slide?.
a. The runner loses 560 J of mechanical energy as a result of friction.
b. the distance that the runner slides is equivalent to J. 1.2 m.
Mass = 70.0 kg
Speed = 4.0 m/s
Coefficient of friction = 0.70.
Acceleration due to gravity, g = 9.8 m/s².
a. We would compute the change in kinetic energy to estimate the amount of mechanical energy lost due to friction acting on the runner:
The formula: gives the shift in kinetic energy mathematically.
ΔK.E. = 1 ÷ 2 m(v - u)²
When the parameters are added to the formula, we get,
ΔK.E. = 1 ÷ 2 × 70 × (4 - 0)²
ΔK.E. = 1 ÷ 2 × 70 × (4)²
ΔK.E. = 35 × 16
ΔK.E. = 560 Joules
560 Joules of mechanical energy
b. To gauge the runner's slide's distance:
We would first determine the runner's acceleration.
Acceleration = ug
Acceleration = 0.70 × 9.8
Acceleration = 6.86 m/s²
For distance,
V² + U² = 2as
4² + 0² = 2(6.86)s
16 = 13.72s
Distance, S = 1.2 meters.
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Tsunamis begin when some kind of trigger, such as an earthquake, landslide, or volcano, causes a large part of the surface of the water to rise or fall. True or false: after this sudden displacement of water, gravity acts to balance the water levels back, resulting in a tsunami.
It is true that a huge portion of the water's surface rises or falls when a trigger, such as an earthquake, landslide, or volcano, causes a tsunami to occur.
An approaching tide may initially resemble a tsunami more than a breaking wave. As a result, it is frequently referred to as a tidal wave, even though the scientific community opposes this terminology because it may give the incorrect idea that tides and tsunamis are directly associated.
Tsunamis frequently consist of a series of waves that travel together in a "wave train" and last anywhere from a few minutes to several hours. Large events could result in waves that are tens of meters high. Although tsunamis only have an influence on coastal areas, they can have a tremendous impact on the entire planet due to their powerful destructive energy.
This proves that the statement that tsunamis start when some sort of trigger, such as an earthquake, landslide, or volcano, causes a significant portion of the water's surface to rise or fall is true.
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Scientists on earth are able to communicate with rovers on mars through their receivers, which can receive and process signals. Which of these best describes the signals sent and received by rovers?.
The best describes the signals sent and received by rovers are electromagnetic waves.
Depending on the planet's position, it generally takes about 5 to 20 minutes for a radio signal to travel the distance between Mars and Earth. Using an orbiter to relay messages is beneficial because it is much closer to perseverance than a deep space network (DSN) antenna on Earth.
It takes 5 to 20 minutes for communication to reach Mars from Earth and vice versa. Rovers and landers on the surface of Mars emit radio signals to spacecraft orbiting Mars, which relay radio waves to Earth. This is where the signal is received by a global system of radio antennas called the Deep Space Network.
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A person is driving his Lamborghini with a mass of 2,000 kg at 10 m/s. He sees a police car around the corner and slows down to 2m/s. What is his change in momentum? ________kgm/s
The change in the momentum of the person is 16,000 kg m/s.
What is the change in momentum of the person?
The change in the momentum of the person driving the Lamborghini is calculated by applying the following formula as shown below.
ΔP = m ( u - v )
where;
ΔP is the change in momentumm is the mass of the Lamborghini u is the initial speed of the personv is the final speed of the person after slowing downΔP = m ( u - v )
ΔP = 2,000 kg ( 10 m/s - 2 m/s )
ΔP = 2,000 kg ( 8 m/s)
ΔP = 16,000 kg m/s
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what is a name for the marked angle? five rays. one ray starts at point a, then points down and to the left through point b. a second ray starts at point a, then points up and to the left through point e. a third ray starts at point a, then points up through point f. a fourth ray starts at point a, then points up and to the right through point d. a fifth ray starts at point a, then points down and to the right through point c. an orange curved line connects ray ad to ray ac.
The marked angle is also known as an OBTUSE angle or an ACUTE angle.
What does an angle go by?Basic angles are identified by their names: acute, obtuse, right, straight, reflex, and full rotation. By uniting two rays at their termini, a geometrical shape known as an angle is created.
What does an indicated angle go by?One of three ways can be used to name an angle. An angle can be identified by one of three ways: by its vertex, by its three points (the middle point must be the vertex), or by a letter or number placed inside the angle's aperture.
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Answer:
/EAD
Explanation:
thats the answer if ur doing khan
if r is the radius of the earth and g is the gravitational acceleration at the earth's surface, what is the gravitational acceleration at altitude h above the earth's surface?
The gravitational acceleration at altitude h above the earth's surface is g.R^2/(R+ h) ^2.
What is gravitational acceleration ?In physics, gravitational acceleration is the speed at which a body falls freely in a void (and thus without experiencing drag). This is the constant acceleration brought on just by the gravitational pull. Gravimetry is the measurement and study of these rates. All bodies accelerate at the same rate in vacuum, independent of their masses or compositions.The combined effects of gravity and the centrifugal force from Earth's rotation determine the strength of Earth's gravity at a fixed place on its surface.
Let, gₙ be the acceleration due to gravity at height h.
gₓ be the acceleration due to gravity at depth x.
The acceleration due to gravity on the surface of Earth is
g= GM/R^2
where,R is the radius of Earth,M is mass of Earth and G is gravitational constant.
∴g ∝ 1/R^2
gₙ ∝ 1/(R+ h) ^2
thus gₙ/g = R^2/(R+ h) ^2
Hence
gₙ = g.R^2/(R+ h) ^2
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A mass is connected to a spring and is allowed to move horizontally. The mass is at a position L when the spring is unstretched. The mass is then moved, stretching the spring, and released from rest. It then moves with simple harmonic motion. At the instant that the mass passes through the position where the spring is unstretched, what can be said about its instantaneous acceleration?
A mass is connected to a spring and is allowed to move horizontally. The mass is at a position L when the spring is unstretched. The mass is then moved, stretching the spring, and released from rest. It then moves with simple harmonic motion.
At that instant instantaneous acceleration is 0.
If an object's velocity changes, it is said to have been accelerated. An object's velocity can alter 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.
Since acceleration has both a magnitude and a direction, it is a vector quantity. It is also the first derivative of position with respect to time or the second derivative of position with respect to time.
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the threshold of hearing is defined as the minimum discernible intensity of the sound. it is approximately 10−12w/m2 . find the distance d from the car at which the sound from the stereo can still be discerned. assume that the windows are rolled down and that each speaker actually produces 0.06 w of sound, as suggested in the last follow-up comment.
the distances d from car that the stereo's sound can still be 97720.5 m Then, we need to determine how much further away it is in order to calculate its actual size. An thing appears smaller from a distance.
What do you call a distance?Distance, which is a scalar quantity, describes "however much area an entity has covered" while moving. An object's total change in position, or displacement, is a vector number that indicates "how out of place any object is."
The relationship between distance and sound intensity heard at a distance is (the power of sound just at source surface area of a wall of an imagined circle at the range in question).
I = P/4πd²
P = 0.06 W 2 = 0.12 W d = if the vehicle has two speakers.
I = 1012 W/m2 1012 = 0.12/4 d2 d = 97720.5 m is the formula for the loudest audible sound.
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If today is October 31st and we view a third quarter, on what date did we observe
the last new moon?
If it's October 31 and we can see a third quarter, then means we can see the last new moon, which was on October 10.
What does the moon mean?The Moon, the largest and brightest satellite in our night sky, stabilizes the Earth's axial wobble, which results in a generally constant climate. This makes Earth a rather more livable planet. Moreover, it brings about tides, which produce a pattern that has aided people for countless years.
How is the moon made?Approximately 43% of the moon's surface is made up of oxygen, 20% of it is silicon, 19% is magnesium, 10% is iron, 3% is calcium, 3% is aluminum, 0.42% is chromium, 0.18% is titanium, and 0.12% is manganese. Traces of water that may have come from far beneath have been discovered by orbiting spacecraft on the lunar surface.
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a perfect unit impulse is applied to a sdof system at rest, having a mass 250 kg, stiffness 3000 n/m and damping ratio 0.2. the initial velocity of the system is:
The damping frequency is 12.68 rad/s.
Given data
mass = 250 kg
stiffness = 3000 n/m
damping ratio = 0.2
to find out
damped natural frequency of the system
solution
we first find the natural frequency that is express as
natural frequency ω = √k/m ..............1
here k is stiffness and m is mass
so ω = √3000/250 = √120
ω = 12.95 rad/s
so
damping frequency will be
damping frequency = ω × √(1 - r²) .....................2
here r is damping ratio
damping frequency = 12.95 × √(1-0.2²)
damping natural frequency = 12.68 rad/s
Therefore, the damping frequency is 12.68 rad/s.
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a heat engine is operating between 287 c and 32 c. if the engine extracted 400 mj of energy from fuel, how many mj of energy could be used as mechanical energy?
A heat engine is operating between 287 c and 32 c. if the engine extracted 400 mj of energy from fuel, 4109.6 Jews mj of energy could be used as mechanical energy
Using the temperatures, a heat engine's efficiency is determined (lowest and highest).
The ratio of the system's provided heat to the desired work is considered the system efficiency. An engine's efficiency ranges from 0 to 1.
The efficiency of the engine is 27%, or 0.27. Since the heat was turned down due to the 3000 gems, we must find productive employment. Heat input and network efficiency are connected. That is the line. Qc was rejected by two W plus heat, leading to Qh. The cost of networking is composed of Nita W and Nita Qc. The network completed is identical to Nita. Q C is split into two halves. As a result, we must divide our efficiency, which is 0.27, by 3000. The engine's work is represented by this. Let's calculate the result of 0.27 multiplied by 3000 divided by 1. 1109 and 0.6 gems are the answer. He rejected our quote, which is +110 9.6 plus three thousand. 4109.6 Jews is quite close to the heat input.
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assume that your mass is 54.5 kg . calculate how much radiative energy will be produced by the accretion disk as a result of your fall into the black hole.
The radiative energy will be produced by the accretion disk as a result of your fall into the black hole is 4.9×10¹⁷J.
Simply put, what is radiation energy?The definition of radiation is energy that leaves a source and travels at the speed of light through space. An electric and magnetic field are present along with this energy, which has wave-like characteristics. Another name for radiation is electromagnetic waves.
Imagine that you were trapped into a supermassive black hole by an accretion disk. The disk radiates 10% of your mass-energy as you descend.
E = mc²
m = 54.5 kg
c = 3×10⁸ m/s
E = 54.5 × (3 × 10⁸)²
E = 4.9×10¹⁷J.
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according to kirchhoff's current law, the sum of the currents entering a closed surface must equal the sum of the currents leaving. explain how the law is satisfied for the closed surface shown when we use a real op amp in this circuit.
Taking into mind the OV 1 kNXų Closed Surface 2 mA currents in the ground connections and power supply connections of a real op amp, KCL is satisfied.
The algebraic sum of all currents entering and leaving a node must equal zero, according to Kirchhoff's Current Law, also known as KCL.
This law is used to explain how a charge travels to and from a wire junction or node. With this knowledge, let's look at an illustration of the legislation in action, its significance, and how it came to be.
Since no charge is lost, the total current flowing into a junction or node equals the charge leaving it. To put it another way, every current entering and leaving the node must have a zero algebraic sum. This Kirchhoff law property, where I(exit) + I(enter) = 0, is known as charge conservation.
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global temperatures are forecast to rise about 3°c by the year 2100. which parts of the world are expected to experience the greatest temperature rise?
The global temperatures are forecast to rise about 3°C by the year 2100. the parts of the world are expected to experience temperature rise is Artic.
The global temperature increases because of the reason that is the carbon dioxide and the heat is trapped in greenhouse gases that will produce by the human activities. The increase in the global temperature will effect the around the world differently . the global temperature since 1880 is 1 degree Celsius.
Thus, the artic part of the world expected to experience temperature , if the global temperature rise about 3 °C by the year of 2100.
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what is the difference between the speed of an object and the acceleration of an object?
The difference between the speed of an object and the acceleration of an object are as follows:
Speed is the distance covered in the unit of time whereas acceleration is the rate of change in the speed.Speed is the scalar quantity on contrary acceleration is the vector quantity.Speed is determined by distance and time whereas acceleration is determined by the velocity and time.Speed can remain constant in every case but acceleration is not uniform in every case except for circular motion.Speed is related to the rate of motion only whereas acceleration is related to the direction of motion as well along with the rate of motion.Speed is calculated with displacement whereas acceleration is calculated with velocity. Speed = Distance/Time and Acceleration = Speed/TimeThe SI unit of speed is m/s and acceleration is m/s^2.To know more about speed visit:
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A peron lift a 4. 5 kg cement block a vertical ditance of 1. 2 m and then Carrie’ the block horizontally 7. 3 m. Determine the work done by the peron and by the force of gravity
The person's work is positive, with a rating of 52.92 J.
Gravity's work is negative, with a value of -52.92 J.
define distance ?
Distance is a numerical or sometimes qualitative measurement of the distance between objects or points. In physics or everyday use, distance can refer to physical length or estimate based on other criteria (e.g. "two particles above"). Since spatial perception is a rich source of conceptual metaphors in human thought, the term is also often used metaphorically to refer to a measure of the degree of difference between two similar objects ( such as the statistical distance between probability distributions or the distance between text strings) or the degree of separation (as illustrated by the distance between people in a social network). Most concepts of distance, both physical and metaphorical, are formalized in mathematics using the concept of metric space.
m = 4.5 kg is the mass of a cement block.
The block raises the vertical distance by d=1.2m.
d' = 7.3 m is the horizontal distance covered by the block.
Since the person raises the block, there is some displacement of the block. As a result, the individual will accomplish good job. And the person's work is saved in the form of block potential energy.
w=mgd
=4.5x9.8x1.2
=52.92 J
As the gravity will oppose the block's motion, thus it will produce negative work on the block. Therefore,
Gravity's work = - (Work done by person)
Gravity work = - 52.92 J
Thus, gravity's work is -52.92 J.
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If the coefficient of kinetic friction between the floor and bag is 0. 15, how much thermal energy does marissa create?.
If Marissa drags a 23kg duffel bag 18m to the gym. The thermal energy Marisa will produce is 608.58.
The energy in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a subfield of physics that examines how work is done as a result of heat being exchanged across various systems.
Friction would provide work that is equal to heat energy.
The force of friction is 225.4 x 0.15, or 33.81 N, which is equal to 23 x 9.8 N.
The frictional effort of 33.81 x 18 = 608.58 J is now converted into thermal energy of 608.58 J.
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why is frankenstein attracted to science? how does he look back on his attraction from his current perspective?
Frankenstein is attracted to science because he is a passionate and ambitious individual who is curious about the unknown.
Frankenstein is attracted to science because of the limitless possibilities it holds. He is drawn to the idea of being able to unlock the secrets of life and death, and create something entirely new. He is driven by the idea that science and technology can be used to improve the world and make life better for all.
He looks back on his attraction to science from his current perspective with a sense of regret and guilt, as his ambition to succeed in his experiments leads him to create a monster that causes immense suffering. He wishes that he had not been so ambitious and had instead explored other areas of study.
From his current perspective, however, Frankenstein looks back on his attraction to science with a sense of regret. He realizes that his ambition was misguided, and that his creations were not meant to be used for the betterment of mankind. He regrets the destruction and chaos that his creations caused, and the pain and suffering they inflicted on innocent people. He now understands that science and technology are powerful tools, but they must be used responsibly and with caution. He also realizes that there are limits to what science can do and that some things are simply beyond human understanding.
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4. a force f is exerted on a 7 kg block to move it across a rough surface, as shown. the magnitude of the force is initially 6 n, and the block moves at a constant velocity. while the block is moving, the force is instantaneously increased to 15 n. how much kinetic energy does the block now gain as it moves a distance 3 m?
The block now gains as it moves a distance of 3 m the Kinetic Energy is 27Nm.
15N-6N=9N
3m x 9N=27Nm
In physics, the kinetic energy of an item is the strength that it possesses due to its movement. Its miles described because the work had to boost up a frame of a given mass from rest to its said speed. Having gained this energy for the duration of its acceleration, the body maintains this kinetic electricity unless its speed changes. An equal quantity of Work is done through the frame when decelerating from its present-day pace to a kingdom of rest. officially, kinetic power is any term in a device's Lagrange which includes a derivative with appreciation to time.
In classical mechanics, the kinetic energy of a non-rotating object of mass m journeying at a pace v is 1/2 mv². In relativistic mechanics, this is a good approximation only when v is a great deal much less than the speed of light. the same old unit of kinetic energy is the joule, while the English unit of kinetic electricity is the foot-pound.
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a 1.80-kg block slides on a rough, level surface. when it is traveling at 2.00 m/s, the block hits a linear, ideal spring and compresses it by a distance of 11 cm before (momentarily) coming to rest. the coefficient of kinetic friction between the block and the surface is 0.56. what is the force constant of the spring?
The force constant of the ideal spring sliding on a rough surface with a speed of 2m/s is 413.22 N/s.
Force constant:
The force constant or spring constant is a measure of the stiffness of a spring. It is the force per unit deformation of the spring. Its SI unit is N/m.
we need the concept of kinetic energy and work to solve this problem:
[tex]ke = \frac{1}{2} \times m{v}^{2} [/tex]
where, m is mass of the block and v is the velocity of the block.
[tex]ke = \frac{1}{2} \times 1.8 \times {2}^{2} [/tex]
ke = 3.6 J
now, work done by frictional force is:
work = Fd
W = Ukmgd
( where Uk is coefficient of kinetic friction)
W= 0.56× 1.8× 10× 0.11
W = 1.1 J
now, according to conservation of energy:
Work done = potential energy + kinetic energy
W= U + KE
U = KE - W
3.6J - 1.1J
2.5 J
now, potential energy of compressed spring:
[tex]u = \frac{1}{2} \times k {x}^{2} [/tex]
[tex]2.5 = \frac{1}{2} \times k \times {0.11}^{2} [/tex]
[tex]k = \frac{2.5 \times 2}{ {0.11}^{2} } [/tex]
k = 413.22
hence, force constant of the spring is 423.22 N/m
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The cosmic microwave background is almost perfectly uniform in all directions, except for very small deviations in its temperature. what do scientists think these small deviations represent?
These small deviations represent regions of slightly higher density that made it possible for galaxies to form.
In big Bang cosmology, the cosmic microwave background (CMB, CMBR) is electromagnetic radiation that could be a remnant from an early stage of the universe, also called "relic radiation". The CMB is faint cosmic heritage radiation filling all areas. it's far a vital source of records of the early universe because it's by far the oldest electromagnetic radiation within the universe, dating to the epoch of recombination when the primary atoms were fashioned. With a conventional optical telescope, the distance between stars and galaxies (the heritage) is absolutely dark (see: Olbers' paradox). but, a sufficiently sensitive radio telescope indicates a faint heritage brightness, or glow, nearly uniform, that is not associated with any megastar, galaxy, or different item. This glow is most powerful in the microwave region of the radio spectrum.
CMB is landmark proof of the large Bang origin of the universe. when the universe become younger, before the formation of stars and planets, it turned denser, lots warmer, and full of an opaque fog of hydrogen plasma. because the universe elevated the plasma grew cooler and the radiation filling it extended to longer wavelengths. whilst the temperature had dropped enough, protons and electrons blended to shape impartial hydrogen atoms. not like the plasma, those newly conceived atoms couldn't scatter the thermal radiation with the aid of Thomson scattering, and so the universe has become obvious.
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two coils are at fixed locations. when coil 1 has no current and the current in coil 2 increases at the rate 15.0 a/s, the emf in coil 1 is 25.0 mv. (a) what is their mutual inductance? (b) when coil 2 has no current and coil 1 has a current of 3.60 a, what is the flux linkage in coil 2?
their mutual inductance is 1.67mH, and the flux linkage in coil 2 is 6.00mWb.
(a)Equation E=−M(dt₂/di) yields
M=∈₁ /∣di2 /dt∣=25.0mV/15.0A/s =1.67mH
(b)Equation M₂₁(dt₁/di)=N₂(dΦ₂₁/dt) leads to
N₂ Φ₂₁=Mi₁=(1.67mH)(3.60A)=6.00mWb
Flux refers to any effect that seems to pass through or move through a surface or substance, whether it actually moves or not. A notion in applied mathematics and vector calculus called flux has a lot of uses in physics. Flux, a vector quantity that describes the size and direction of a substance or property's flow, is used to describe transport processes. The perpendicular component of a vector field over a surface is defined as the surface integral of a scalar variable called flux in vector calculus.
The definition of flux in terms of transport states that it can either be a single vector or a vector field or a function of position. The latter situation makes it simple to integrate flux across a surface.
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by how many diopters should the power of his eye be reduced in laser vision correction to obtain normal distant vision for him? take 2.00 cm as the focal length of a normal relaxed eye lens (and also the distance of the retina from the lens) - that means a power of 50 d.
20 diopters approx should the power of his eye be reduced in laser vision correction to obtain normal distant vision for him.
The optical power of a healthy human eye is about 40 diopters, or the ability to focus on a picture or object that is 1/40 of a meter distant from the eye. An additional 20 diopters of correction can be made to the eye of a typical young person. By the age of 25, this focusing flexibility frequently decreases to 10 diopters. The human eye typically has 1 diopter of refractive error by the age of 45 as a result of lens hardening and the natural deterioration of the eye muscles that focus your vision. Blurred up-close vision is caused by presbyopia, or the eye's deteriorating ability to focus its lens correctly, which calls for the usage of corrective lenses. Reading glasses compensate for the loss of the natural focusing power of the eye. An optometrist may recommend a lens to increase the eye's magnification capability, often in steps of 1/4 diopter throughout a range of 1 to 3 diopters.
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