The radiative zone and core of the Sun are thought by scientists to revolve more like solid bodies than liquid ones. From the convective zone outward, the Sun's outer regions rotate at various rates that change with latitude.
What is latitudes?It is calculated using 180 fictitious lines that are drawn in circles east-west of the equator. Parallels are the names for these lines.Because the Sun is made of gaseous plasma, its rotation varies with latitude. At the equator, the rate of rotation is seen to be the quickest, and it slows down as latitude rises.Since it is made of gas and plasma, the rotational velocities of the gasses and plasma vary depending on where they are on the sun. Every 25 days, the gas and plasma close to the equator of the sun rotate around its axis.Polaris will appear lower in the sky as you move further south, and the sun will set at nighttime farther and more quickly.To learn more about latitudes refer to:
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which of the following is an advantage that liquid water has as a biological solvent compared to other alternatives?
an advantage that liquid water has as a biological solvent compared to other alternatives IS, when it freezes it becomes less dense. it is a liquid over a wide temperature range and remains liquid at higher temperatures. It is able to dissolve many things
WHAT IS A BIOLOGICAL SOLVENT?A solvent is a molecule that has the ability to dissolve other molecules, known as solutes. A solvent can be solid, liquid or gas. The molecules of the solvent work to put the solute molecules apart. Eventually, the molecules of solute become evenly distributed in throughout the solvent. This homogenous mixture is perfectly even, and cannot be separated physically. Heat or another chemical process must be applied to the solution to separate the solvent and solute.
Molecules in general have two classes, polar and nonpolar. Polar molecules have separated electrical charges on different sides of the molecule. Nonpolar molecules, while they can fluctuate in charge, do not carry a static charge. Both es of molecules can act as solvents, as described below.
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What is the primary advantage of using phase comparison in an interference microscope?.
The ability to view living cells in their normal form without first killing, fixing, and staining them is one of the primary advantages of phase contrast microscopy in an interference microscope.
It is possible to view and record the dynamics of current biological processes in great clarity and strong contrast with minuscule specimen detail. Phase contrast and differential interference contrast (DIC) microscopy are complementary methods for obtaining highly contrasted pictures of transparent biological phases that often have no impact on the amplitude of visible light waves flowing through the material.
In both situations, the contrast in the DIC pictures is heavily influenced by the orientation of the specimen, but the characteristics of the phase contrast images are unaffected by the rotation of the specimen around the microscope's optical axis.
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if you wish to reconstruct a complex wave from its fourier spectrum, what additional information must you obtain, other than the amplitudes of the harmonics?
In order to reconstruct a complex wave from its fourier spectrum, we must obtain the phase of each harmonic other than amplitudes of the harmonics.
The phase of each harmonic is needed because it tells you exactly where in time the harmonic will occur.
For example, if a wave has a frequency of 100 Hz, and you know that the phase of each harmonic is regularly spaced by 1 radian (180 degrees), then you can use this information to determine when each harmonic will occur. You can do this by dividing 360 degrees by the frequency and multiplying by 2 pi.
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Insulators can by charged only by this method
a. Induction
b. Conduction
c. Friction
Insulators can by charged only by friction.
An electrical insulator is a cloth wherein electric powered modern-day does no longer drift freely. The atoms of the insulator have tightly certain electrons which can not quite simply move. Other substances—semiconductors and conductors—conduct electric modern greater effortlessly.
Insulators are used in electric system to help and separate electrical conductors with out allowing current thru themselves. An insulating material utilized in bulk to wrap electrical cables or other gadget is known as insulation. The time period insulator is likewise used greater specially to consult insulating supports used to utility poles and transmission towers.to attach electric powered strength distribution or transmission lines
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please someone help me derive v²/r in Simple Harmonic Motion
Using Ohm's Law and the power formula, V² / R is derived.
What is Harmonic motion?Simple harmonic motion is a particular kind of periodic motion in which the restoring force on the moving item is directly proportionate to the size of the displacement and acts in the direction of the object's equilibrium position. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.
Power(P) = Potential difference (V) × Current (I)
So
Now by ohm's law
I =V/R
On substituting the value of current in the equation
P=VI
We get
P= V × V/R
P=V² / R
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what additional information is most important for them to add to the graph to best explain the work they've done?
Text is helpful for guiding the viewer and assisting with understanding. The graph's text provides extra details. In graphs, there are two different sorts of text: text that appears around the data regions.
In mathematics, a graph is a visual representation of any data that has been organized. The graph depicts the link between the various variables. The set of items that are somehow related to one another is represented by the graph in a graph theory.
A report can include numerous data regions. Data regions expand to hold the information from the report dataset to which they are associated. For instance, a matrix that shows annual sales for each product has a row group based on the names of the products and a column group based on the years.
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how large an angular acceleration must a wheel have is it is to acceleration from rest to 460rad/s after 5rev ?
The angular acceleration of the wheel is 3,367.28 rad/s².
What is the angular acceleration of the wheel?The angular acceleration of the wheel is calculated by applying the first kinematic equation as shown below.
ωf² = ωi² + 2αθ
where;
θ is the angular distance of the wheelω is the initial angular velocity of the wheelα is the angular acceleration of the wheelωf is the final angular velocityThe given parameters include the following;
angular distance of the wheel, θ = 5 rev = 5 rev x 2π rad/rev = 10π rad = 31.42 radthe initial angular velocity of the wheel, ω = 0the angular acceleration of the wheel, α = ?the final angular velocity, ωf = 460 rad/sThe angular acceleration of the wheel is calculated as follows;
ωf² = 0 + 2αθ
ωf² = 2αθ
α = ωf² / 2θ
α = ( 460² ) / ( 2 x 31.42 )
α = 3,367.28 rad/s²
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What percent of the world’s earthquakes occur around the pacific rim/ring of fire?.
The percent of the world’s earthquakes occurring around the pacific rim/ring of fire will be 90%.
The Ring of Fire is home to more than 450 volcanoes or 75% of all volcanoes on Earth. The majority of earthquakes that occur on Earth, including the most intense and spectacular seismic occurrences, ever recorded, happen along its course. The region of earthquakes encircling the Pacific Ocean is known as the "Ring of Fire," also known as the Circum-Pacific belt; it is where 90% of all earthquakes on earth take place.
The extensive movement of tectonic plates in the region is the reason for the high frequency of earthquakes and volcanoes in the Ring of Fire. Plates collide along convergent boundaries known as subduction zones around a large portion of the Ring of Fire. In other words, the plate above pushes down or subducts, the plate below.
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can baseball bat kill? a baseball bat hits the ball with variable force. the ball weighs 0.145 kg and comes toward and (after hit) away from the batter both with 40 m/s, in opposite directions. find the maximum force fmax from the bat
The maximum force (Fmax) from the bat which hits the ball with a speed of 40 m/s of weight 0.145kg is 5.8 N.
What is force?A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.
Given,
mass of ball is 0.145 g.
speed of ball after being hit is 40 m/s.
maximum force =?
time taken to hit the ball be 1 s
By using the formula, F = ma
where,
F = force from the bat
m = mass of the ball
a = acceleration of the ball
But,
a = s/t
where,
s = speed of the ball being hit
t = time taken
F = ms/t
F = 0.145 x 40 / 1
F = 5.8
∴ force from bat is 5.8 N.
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Which option describes a vector quantity? (1 point)
O It has magnitude, units, and direction.
OIt has magnitude, but no units or direction.
It has magnitude and units, but no direction.
OIt has no magnitude, units, or direction.
A vector quantity has magnitude, units, and direction. So, the first option is correct.
A vector quantity, in physics, is a quantity that has both magnitude and direction. A vector with the value of magnitude equal to one is called a unit vector.
For example, a man is driving a car with a velocity of 90 km/hr in a northeast direction. Then, as we see for defining the velocity, we need two things, i.e. the magnitude of the velocity and its direction. Therefore, it represents a vector quantity. Other examples of vector quantities are displacement, acceleration, force, momentum, weight, the velocity of light, a gravitational field, current, and so on.
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Answer:
(Question) Which quantity is scalar?
(Answer) Energy
(Question) Which option describes a vector quantity?
(Answer) It has magnitude, units, and direction.
(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?
(Answer) It describes displacement, which is a vector quantity.
(Question) Which statement is true regarding a distance vs. time graph?
(Answer) The graph should show distance on the vertical axis.
(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates
(Answer) motion in the positive direction.
Explanation:
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Calculate the initial velocity of a ball thrown vertically into the air reaching a maximum
height of 20 m. (Don't forget: at maximum height the final velocity is zero and the
acceleration is -10 m/s²)
The initial velocity of the ball thrown vertically into the air reaching a maximum height is 20 m/s.
What is velocity?
Velocity can be defined as the ratio of displacement to time.
To calculate the initial velocity of the ball, we use the formula below.
Formula:
v² = u²+2gh............... Equation 1Where:
v = Final velocityu = Initial velocityg = Acceleration due to gravityh = HeightFrom the question,
Given:
v = 0 m/sg = -10 m/s²h = 20 mSubstitute these values into equation 1
0² = u²+[2×20×(-10)]-u² = -400u² = 400u = √400u = 20 m/sHence, the initial velocity of the ball is 20 m/s.
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considering the length of these contact lines, if the liquid (with surface tension ) makes a contact angle with the ring's surface, what is the total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward?
Droplets of liquid take on their shape due to surface tension.The uneven cohesive forces of the surface layer tend to draw water droplets into a spherical shape, despite their ease of deformation.
Does surface tension push or pull?When the cohesive forces between the liquid molecules are greater than the adhesion to the walls, capillary action results.Water adhesion to a vessel's walls causes the liquid near the borders to be forced upward.The entire liquid surface is drawn upward because the surface tension maintains the surface in place. Surface tension exerts a force that is tangential to the surface, whereas air pressure exerts a force that is perpendicular to the surface. The force transmitted through a rope, string, or wire when two opposing forces pull on it is known as tension. Surface tension depends on the nature of the liquid, the surrounding environment and temperature.To learn more about surface tension refer
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if a block of material has a mass of 16 grams and a volume of 8 cubic centimeters, what is its density?
If a block of material has a mass of 16 grams and a volume of 8 cubic centimeters, then density is 2 grams per cubic centimeter.
Density = mass / volume
Density = 16/8 = 2 grams per cubic centimeter.
The substance's mass per unit of volume is its density (also known as specific mass or volumetric mass density). The Latin letter D can also be used to represent density, however the most common symbol is (the lower case Greek letter rho). According to mathematics, density is determined by dividing mass by volume, where denotes the density, m denotes the mass, and V denotes the volume. Although it is incorrect scientifically - this amount is more precisely known as specific weight – in some circumstances (for example, in the US oil and gas business), density is roughly described as its weight per unit volume.
Density and mass concentration have the same numerical value for a pure substance. Varied materials often have different densities, therefore purity and buoyancy may both be affected by density.
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A rock is thrown vertically downward from a
building with an unknown initial (1-d) velocity.
If the rock hits the ground after 3.50 s, with a
final (1-d) velocity of -50.0 m/s, what was the
initial (1-d) velocity of the rock?
[?] m/s
Signs: Define "up" positive, "down" negative.
The initial velocity is -25m/s.
What is velocity?
Velocity, which is a vector quantity, is referred to as the "pace at which an item changes its position." Imagine someone moving quickly, constantly going back to their starting position after taking one step forward. The velocity would be zero, even though there might be a frenzy of activity as a result.
What is acceleration?
Acceleration is the rate at which the direction and speed of motion change over time. Anything is said to have been accelerated when it moves straighter and faster or slower. Motion on a circle accelerates even though the speed is constant because the direction is constantly changing.
Is up in physics positive or negative?
If you choose to make the upward direction negative and the downward direction positive (the commonly accepted convention), then g will be positive if the object is stationary or moving downwards. If an object is moving upward, g will be negative.
Therefore, the initial velocity is -25m/s.
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Two forces are applied to a car in an effort to accelerate it, as shown below. The first force, F1 = 310 N, is applied at an angle = 32° to the forward dashed line. The second force, F2 = 464 N, is applied at an angle = 13° to the forward dashed line.
(a) What is the resultant of these two forces?
______N at _____ ° to the _____
(b) If the car has a mass of 2850 kg, what acceleration does it have? (Disregard friction.)
_____m/s2 at ______ ° to the _____
a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line
b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²
Resolving F1 into its vertical and horizontal component,
F1y = F1 cos θ
F1y = 310 * cos 32°
F1y = 263.5 N
F1x = F1 sin θ
F1x = 310 * sin 32°
F1x = 164.3 N
Resolving F2 into its vertical and horizontal component,
F2y = F2 cos θ
F2y = 464 * cos 13°
F2y = 450.1 N
F2x = F2 sin θ
F2x = 464 * sin 13°
F2x = 106.72 N
∑ Fx = F1x - F2x
∑ Fx = 164.3 - 106.72
∑ Fx = 57.58 N
∑ Fy = F1y + F2y
∑ Fy = 263.5 + 450.1
∑ Fy = 713.6 N
R² = ( ∑ Fx )² + ( ∑ Fy )²
R² = ( 57.58 )² + ( 713.6 )²
R² = 3315.46 + 509224.96
R = 715.92 N
tan θ = ∑ Fy / ∑ Fx
tan θ = 713.6 / 57.58
tan θ = 12.39
θ = 85.6° ( With the horizontal )
With the forward dashed line,
θ = 90 - 85.6
θ = 4.4° ( To the right of the forward dashed line )
F = m a
F = Force
m = Mass
a = Acceleration
m = 2850 Kg
a = F / m
a = 715.92 / 2850
a = 0.25 m / s²
Therefore,
a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line
b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²
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A girl riding a bicycle at 2.0 m/s throws a tennis ball horizontally forward at a speed of 1.0 m/s from a height of 1.5 m. At the same moment, a boy standing on the sidewalk drops a tennis ball straight down from a height of 1.5 m.
What is the initial speed of the girl's ball relative to the boy?
WILL GIVE BRAINLIEST
The initial speed of the girl's ball relative to the boy is 3 m/s.
What is the initial speed of the girl's ball?
The initial speed of the girl's ball relative to the boy depends on the time of motion of the girls ball.
The time of motion of the ball from the given height is calculated as follows;
h = vt + ¹/₂gt²
where
v is the initial velocity of the ballt is the time of motion of the ballg is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 1.5 / 9.8)
t = 0.55 s
The final velocity of the ball is calculated as;
v = gt
v = 9.8 x 0.55
v = 5.39 m/s
However, since we are looking for the initial speed of the girl's ball relative to the boy, we will ignore the final velocity of the ball.
The initial velocity of the ball = 0
The initial velocity of the girl's ball = 2 m/s + 1 m/s = 3 m/s
The relative velocity = 3 m/s - 0 m/s = 3 m/s
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For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration is: E. is always zero.
What is projectile motion?Projectile motion can be defined as a form of motion which is experienced by a physical object that is projected near planet Earth's surface while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.
Based on scientific research and records, we can infer and logically deduce that the initial horizontal velocity of an object undergoing a projectile motion is always equal to its final horizontal velocity.
Additionally, the horizontal component of the acceleration of a physical object that is undergoing a projectile motion is always equal to zero (0) meter per seconds square because it is experiencing a constant velocity.
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Complete Question:
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
A. remains a non-zero constant
B. continuously decreases
C. continuously increases
D. first decreases and then increases
E. is always zero
Two asteroids with masses 3. 71 x 105 kg and 1. 88 x 104 kg are separated by
a distance of 1,300 m. What is the gravitational force between the asteroids?
Newton's law of gravitation is F.
gravity
Gm m2. The gravitational constant
Gis 6. 67 x 10-11 N-m2/kg?.
The gravitational force between the asteroids with masses 3. 71 x 10^5 kg and 1. 88 x 10^4 kg are separated by a distance of 1,300 m is 27.5 * 10^-8 N
F = G m1 m2 / r²
F = Gravitational force
m1 , m2 = Masses
r = Distance between m1 and m2
m1 = 3.71 * 10^5 kg
m2 = 1.88 * 10^4 kg
r = 1300 m
G = 6.67 * 10^-11 N m² / kg²
F = 6.67 * 10^-11 * 3.71 * 10^5 * 1.88 * 10^4 / 1300²
F = 46.52 * 10^-2 / 169 * 10^4
F = 27.5 * 10^-8 N
According to Newton's law of gravitation, any matter in the universe attracts another matter with a force. This force of attraction is directly proportional to the product of their masses and inversely proportional to the square of distance between them.
Therefore, the gravitational force between the asteroids is 27.5 * 10^-8 N
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gravitational potential energy is always measured group of answer choices relative to the ground. relative to the center of the earth. relative to the center of the sun. relative to an arbitrary reference level.
The gravitational potential energy is always measured relative to the ground.
The gravitational potential energy of a system is related as.
PE = MgH
Where,
M is the mass of body,
g is the acceleration due to gravity,
H is the height of the body with respect to the ground.
As we know, for a particular surface on earth, the mass and g is always constant.
Only the height of the body is changing with respect to the ground, Hence we can conclude here, that gravitational potential energy of a body is measured with respect to the ground.
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a ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. assuming that the air resistance can be ignored, how high does it go?
A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. It takes 1.28 sec to reach its its maximum height of 26.27feet.
a ball is shot straight up into the air with initial velocity of 41ft/sec
S = [tex]S_{0} +V_{t} - 16t^{2}[/tex]
height [tex]S_{0} = 0[/tex]
velocity [tex]V_{0}[/tex] = 41ft/sec
S= 0+41t- 16[tex]t^{2}[/tex]
S = 41t -16[tex]t^{2}[/tex]
instantaneous velocity v
V = ds/dt = [tex]V_{0}[/tex]- 32t
V = 41-32t
32t = 41
t = 41/32 = 1.28 sec.
S = 41t-16[tex]t^{2}[/tex]
= 41 ( 1.28)- 16 [tex](1.28)^{2}[/tex]
= 52.48 - 26.21
= 26.27
What is velocity?The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction. Its SI equivalent is the meter per second (ms-1). A body is considered to be accelerating if the magnitude or direction of its velocity changes.
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an electron traveling due north enters a region that contains a uniform magnetic field that points due east. in which direction will the electron be deflected?
An electron moving north will slow down and eventually reverse its direction if it enters an electric field that points north.
What is a uniform magnetic field?Parallel straight lines that are evenly spaced apart represent a homogenous magnetic field. The direction that a tiny magnet's north-seeking pole points indicates the flux direction. The flux lines form closed loops and are continuous.While the magnetic field around a bar magnet is not uniform, the lines of the Earth's magnetic field are uniform (parallel and equally spaced) (neither parallel nor equidistant).If the magnetic field's lines are parallel, the magnetic field's strength will be the same at every point, meaning the field's strength will remain constant. We are able to create a consistent magnetic field by creating a relatively long cylindrical coil.To learn more about uniform magnetic field refer to:
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you are in bed and wish to shut your bedroom door without getting up. you happen to have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off. which one would be more effective to throw at your door to close it?
Using the concepts of momentum, we got that bouncy ball will be more effective as to throw at my door to close it when both with the same mass. the play dough will stick to the door, the ball will bounce off.
The momentum of an object is equal to the product of its mass and its velocity. The momentum of the system is conserved even if the collision is inelastic.
When the bouncy ball or the blob of clay actually hits the door, their momentum changes. Since momentum is conserved, the door would move in the opposite direction so that the total momentum stays at zero.
Let the mass of each object be . Suppose that both of the objects hit the door at a speed of in the same direction.
The bouncy ball will actually bounce back at about the same speed (in the opposite direction, away from the door.) The magnitude of the change in velocity will be at most . The magnitude of the change in momentum will be at most .However, when the blob of clay hits the door, its shape would change (and it would potentially stick to the door.) In other words, its velocity becomes almost after the collision. The magnitude of the change in its momentum will only be around , which is only about the momentum change due to the bouncy ball.By Newton's Second Law, the net force on the door is proportion to the rate of change in its momentum.
Hence, when I am in bed wish to shut my bedroom door without getting up and have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off, the more effective ball to throw at my door to close it is the bouncy ball.
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if the age of the universe were compressed to one year, with the big bang on january 1, about when did the milky way galaxy system form? in january in february in september in december
February is the month that the Milky Way galaxy system begins to develop.
What is milky way galaxy?
The Milky Way is a massive cluster of stars, gas, and dust. Because it would appear to be a whirling pinwheel from the top or bottom, this galaxy is a spiral galaxy. About 25,000 light-years from the galactic center, on one of the spiral arms, is where the Sun can be found.
What is the Big Bang hypothesis?
According to the Big Bang hypothesis, the universe originated from a single, unfathomably hot, and dense point (also known as a "singularity") more than 13 billion years ago. It didn't happen at a location that was previously there. Instead, it was the one who started space's expansion and cooling.
Therefore, February is the month to be considered as the formation of the Milky way galaxy.
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a glass slab of thickness 3 cm and refractive index 1.67 is placed on on ink mark on a piece of paper. for a person looking at the mark from a distance of 9.8 cm above it, what well the distance to the ink mark appear to be in cm?
The distance to the ink mark appear to be in 3.58cm.
How do you define refractive index?The refractive index, also known as the index of refraction, is a numerical value that is determined by comparing the difference between the speed of light in a vacuum and that of light in a material with a higher density. The refractive index variable is most usually represented by the letter n or n' in mathematical computations and descriptive language.
The measurement of how much a light ray bends when moving from one medium to another is called the refractive index. It is also known as n = c/v, which is the ratio of the speed of a light beam in a substance to that of a light ray in a vacuum.
The perceived depth of the link noted = real depth/µ
The perceived depth of the link noted = 3/1.67
The perceived depth of the link noted = 1.79cm
So, the person sees the mark from a distance = 1.79+1.79 = 3.58cm
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(a) what are the wavelengths of the following frequencies in the am radio band (540-1600 khz)? 560 khz m 1510 khz m (b) what are the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz)?
the wavelength of the following frequencies in the am radio band (540-1600 khz) is 555.55 m,187.5 m
the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz) is 3.409 m,2.7777 m
Wave length λ = c / f
(a). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 540 * 10 ^3 Hz )
= 555.55 m
minimum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 1600 * 10 ^ 3 Hz)
= 187.5 m
(b). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 88 * 10 ^ 6Hz )
= 3.409 m
Minimum wavelength = ( 3 * 10 ^ 8 m /.s ) / ( 108 * 10 ^6 Hz )
= 2.7777 m
Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire. In wireless systems, this length is typically expressed in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation().
Frequency, or the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing frequency. The pattern of disruption brought on by energy moving through a medium is known as a sound wave.
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the base of an aluminum block, which is fixed in place, measures 90 x 90 cm. the height of the block is 60cm. a force, applied to the upper force and parallel to it, produces a shear strain of 0.0060. the shear modulus of aluminum is 3.0 x 10^10 pa. what is the displacement
The displacement of an aluminum block, which is fixed in place, measures 90 x 90 cm with a height of 60 cm is 0.36 cm
S = Shear ε / Shear γ
S = Shear Modulus
ε = Stress
γ = Strain
S = 3 * [tex]10^{10}[/tex] Pa
Shear γ = 0.006
Shear ε = S * Shear γ
Shear ε = 3 * [tex]10^{10}[/tex] * 0.006
Shear ε = 1.8 * [tex]10^{8}[/tex]
Shear ε = 180 MPa
Displacement = Shear ε * l
l = Length = 60 cm
Displacement = 0.006 * 60
Displacement = 0.36 cm
Therefore, the displacement of the upper phase aluminum block is 0.36 cm in the direction of applied force.
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3) A block with an unknown mass rests on a rough table. Attached to the mass is a
string which is attached to a 12 kg mass that hangs over the edge of the table via a
pulley. The coefficient of friction is 0.35. When released from rest, the system
reaches a speed of 8 m/s after traveling a distance of 6 m.
a. Calculate the acceleration of the system.
b. What equation can you use to represent the force of friction acting on the
unknown mass.
c. Write out Newton's Second Law and solve for the unknown mass.
a. The acceleration of the system is 0.21 m/s^{2}
b. The equation of the force of friction is -
tension force - force of friction = unknown mass x its acceleration and force of friction is equal to product of coefficient of friction and normal force acting on unknown mass .
c. Newton's second law of motion applies when there are unbalanced forces acting on an object. According to the second law, the mass and the net force acting on the object both affect how quickly an object is accelerating . An object's acceleration is directly proportional to the net force applied and inversely proportional to the object's mass. An object's acceleration increases as the amount of force exerted on it does. A decreasing acceleration is caused by an increase in an object's mass.
The unknown mass is nearly equal to 30 kg .
What is acceleration ?
the rate at which the speed and direction of a moving object vary over time is termed as acceleration . An object going straight ahead when it accelerates or decelerates, is said accelerated. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
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a parallel-plate capacitor in air has circular plates of radius 2.7 cm separated by 1.1 mm. charge is flowing onto the upper plate and off the lower plate at a rate of 7 a. find the time rate of change of the electric field between the plates.
The time rate of change of the electric field between the
is 1.43x [tex]10^{14}[/tex]N C [tex]s^{1[/tex] .
The radius is 2.7 cm = 0.027m
The distance of separation is 1.1 mm = 0.0011m
The current is 7A
Generally the electric field generated is mathematically represented as
E = [tex]\frac{q}{\pi r^{2}E_{0} }[/tex]
=
Where [tex]E_{O}[/tex] is the permittivity of free space with a value
[tex]E_{0} = 8.85\times 10^{-12} m^{-3} kg^{-1} s^{4} A^{2}[/tex]
So the time rate of change of the electric field between the plates is mathematically represented as
[tex]\frac{E}{t} = \frac{q}{t} \times \frac{1}{\pi r^{2} E_{o} }[/tex]
[tex]\frac{q}{t} = I[/tex]
[tex]\frac{E}{t} = \Ifra \times \frac{I}{\pi r^{2} E_{o} }[/tex]
substituting values
[tex]\frac{E}{t} = \Ifra \times \frac{7}{3.142 (0.027)^{2} 8.85\times 10^{-12} }[/tex]
= 1.43x [tex]10^{14}[/tex]N C [tex]s^{1[/tex]
What is charge?"Electric charge is a property of a subatomic particle that causes a force when placed in an electric and magnetic field." There are two types of electrical charges: positive and negative, which are usually carried by the charge-carrying protons and electrons. Examples of charge types are subatomic particles or particles of matter: Protons are positively charged. Electrons are negatively charged. neutrons have zero charge. Electric charge is a scalar quantity. In addition to magnitude and direction, a quantity called a vector should also obey the laws of vector addition, such as the triangular law of vector addition and the line law of vector addition; only then is the quantity said to be a vector quantity.
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A person shakes a sealed, insulated bottle containing coffee for a few minutes. What is the change in the temperature of the coffee?.
A person shakes a sealed, insulated bottle containing coffee for a few minutes, then the change in the temperature of the coffee increases slightly.
What happens when insulated bottle with coffee is shaken?The temperature of the coffee increases when insulated bottle is sealed and shaken because the exchange of heat from the surrounding from the thermos bottle is zero. From the first law of thermodynamics, the work done on system is equal to the change in internal energy.
As thermos flask is insulated, therefore no heat energy is added to the system,
Therefore, △Q=0
Work is done by shaking it against viscous force.
Now, △w=−ve
Internal energy , △U=△Q−△w=0−(−△w)
△U=+△w
So, △U=+ve
Hence, temperature of the system increases due to the increase in internal energy.
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what is the direction of the induced current in the loop when the loop is above the solenoid, moving downward?
The direction of the induced current in the loop will be clockwise.
What is induced current?The current brought on by the electromagnetic induction phenomena is known as the induced current.Electric power generation depends heavily on electromagnetic induction. It can be used for many things. After conducting numerous tests in his London lab for more than ten years, Michael Faraday made his discovery of electromagnetic induction in 1831.The size of the induced EMF is proportional to the rate of change of the magnetic field in which the wire is situated, according to Faraday's second law of induction.[tex]e = -N*\frac{1}{dt}[/tex]ФWhere "e" denotes the intensity of the induced emf, "Ф" denotes the quantity of magnetic flux connecting the coil, and "N" is the coil's number of turns. The induced current will flow in a direction that opposes the change in the magnetic field, according to the negative sign.To learn more about induced current, refer to
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