Assume there is little air resistance the acceleration of a projectile has no horizontal component.
What happens to a projectile's horizontal component of velocity in a projectile's typical motion?The object is moved downward from its position if gravity didn't exist as a result of the downward force and acceleration. A projectile maintains the same angular momentum because there are no horizontally forces acting on it, hence the force of gravity has no effect on the angular position of motion.
Is there zero acceleration in the horizontal component?The speed, which is larger than 115 m/s as expected, is a result of both vertical and horizontal velocity components. As seen in Figure 3.10, the velocity vector forms an aspect q with the horizontal: A crucial aspect of falling object.
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Which of the following scientists is most directly responsible for ushering in the communications age in the 20th century?
Galileo
Newton
Maxwell
Michelson
Carnot
James Clerk Maxwell is most directly responsible for ushering in the communications age in the 20th century.
He developed a set of equations that described the behavior of electric and magnetic fields and their interactions with each other. These equations, known as Maxwell's equations, form the foundation of our understanding of electromagnetism and helped pave the way for many of the technological advancements in the fields of communications and electronics in the 20th century. The concept of electromagnetic waves, which Maxwell described in his equations, is the basis for our modern-day technologies like radio, television, and cell phone communication. Therefore, Maxwell's work is considered a cornerstone of the communications age and his contributions are greatly valued in the field of physics.
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the load impedance in (figure 1) absorbs 2.5 kw and generates 5 kvar . the sinusoidal voltage source develops 7.5 kw . suppose that r
I = I sin t, where I is the maximum current and I is the current at time t, can be used to describe a sinusoidal alternating current. Similarly, we can write v = V sin t for an alternating sinusoidal voltage.
How would one define sinusoidal?A variable that is based just on sine function, a periodic value that oscillates smoothly between low and high values is referred to as a sinusoidal function. Since the cosine function is simply a horizontally shift of sine function, sinusoidal calculations can also be built on it.
Why is AC known as sinusoidal?Periodic waveforms known as sine waves can be represented graphically using the sin or cosine trigonometric functions. Electrical circuits that receive "AC" voltages and currents, or sinusoidal waveforms that polarity alternates on each cycle.
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you are hired by an optics manufacturer to design a high-precision mirror alignment system. the resolution for mirror displacements must be on the order of a few nanometers and these deflections must be driven by electrical voltages. which of the following materials properties would you consider most important when selecting a material for this system? you are hired by an optics manufacturer to design a high-precision mirror alignment system. the resolution for mirror displacements must be on the order of a few nanometers and these deflections must be driven by electrical voltages. which of the following materials properties would you consider most important when selecting a material for this system? thermal expansion coefficient electrical resistivity thermal conductivity piezoelectric coefficient
An optics manufacturer commissions you to create a highly accurate mirror alignment system. Mirror displacements must have a resolution of a few nanometers, and these
What is placement dis?
An volume or mass of a liquid (such as water) that is displaced by a lifting surface (such as a vessel) of equivalent weight is referred to as displacement: the distinction between an object's initial position and any subsequent positions additionally: the total volume that all of an internal combustion engine's pistons displace in this manner
Displacement activity: what is it?
furthermore, automobiles: Internal combustion engines' required amount so displaced by all of their pistons is referred to as displacement activity or displacement behavior. Numerous people have been displaced as a result of the war. shifts in the Earth's mantle soil shifting brought on by farming
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A block of white color is kept on a table. Suppose you are looking at this block through a glass which allows only red light to pass through it. What would be the color of the block as seen by you using the glass
Answer:
red
Explanation:
The color of the block as seen by you using the glass would be red.
When white light passes through a red filter, only the red portion of the light is allowed to pass through. The other colors (blue, green, yellow, etc.) are absorbed by the filter. So, when you look at the white block through a red filter, you will only see the red portion of the light reflected off the block, making it appear red to your eye.
Answer:
Red only
Explanation:
The colour of the block as seen by you using the glass would be red.
how far (in m) is it from where they drop the rock to the bottom of the shaft? the speed of sound at the temperature of air in the shaft is 336 m/s. (round your answer to at least three significant figures. use g
The distance is equal to 2.28 km if rock is dropped to bottom of shaft when air temperature of shaft is given, if we round at least three significant figures.
The distance from where the rock was dropped to the bottom of the shaft can be calculated using the formula for free fall, which is the distance traveled by an object under the influence of gravity. Free fall is described by the equation:
[tex]d = 1/2 * g * t^2[/tex]
Where d is the distance traveled, g is the acceleration due to gravity ([tex]9.8 m/s^2[/tex]), and t is the time elapsed.
We can use the speed of sound to determine the time elapsed. The time elapsed is equal to the time it takes for the sound of the rock hitting the bottom of the shaft to travel back to the top of the shaft:
t = d / v
Where v is the speed of sound.
Substituting this into the free fall equation gives:
[tex]d = 1/2 * g * (d / v)^2[/tex]
Solving for d, we find:
[tex]d = (v^2) / (2 * g)[/tex]
Plugging in the given values of v = 336 m/s and g = [tex]9.8 m/s^2[/tex], we find that the distance is:
d = (336^2) / (2 * 9.8) = 336^2 / 19.6 = 44864 m / 19.6 = 2280 m
Rounding to three significant figures, the distance is approximately 2.28 km.
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Complete Question: How far (in metres) is it down the shaft from where they drop the rock? At the air's temperature in the shaft, the sound speed is 336 m/s. (Round your response to at least three decimal places. use g = 10
Black hole radius, large to small. What is the Schwarzschild radius of (a) the supermassive black hole with
4.0×10 10
solar masses in the Abell 85 galaxy cluster, (b) the imaged
M87
black hole with
6.4×10 9
solar masses, (c) an intermediate mass black hole with
1.0×10 4
solar masses, (d) the Sun, with mass
1.99×10 30
kg
, and (e) a micro black hole with a mass of
2.0×10 −8
kg
The Schwarzschild radius of different materials supermassive black hole and M87black hole are[tex]4.80528 \times 10^{-19} and 9.49 \times 10^{-18}[/tex] respectively.
What is a black hole's Schwarzschild radius?The distance connecting a Schwarzschild black hole's centre and event horizon is known as the Schwarzschild radius. The event horizon is positioned above the Schwarzschild radius, that starts at the black hole's centre. Black holes have a rather important characteristic called the Schwarzschild radius.
Schwarzschild radius (Rs)= 2GM/c²
G=> gravitational constant = [tex]6.674 \times 10^{-11} m^3/kgs^2[/tex]
c=> speed of light =>[tex]3\times10^{8}m/s[/tex]
M => solar mass
A) Rs of supermassive black hole =>
[tex]2 \times 6.674 \times 10^{-11} \times 4.0\times10^{1}0/(3\times10^{8})^{2} = 4.80528 \times 10^{-19}[/tex]
B) Rs of M87black hole
[tex]= 2 \times 6.674 \times 10^{-11} \times 6.4 \times 10^{9} /(3 \times 10^{8})^{2} = 9.49 x 10^{-18}[/tex]
C) Rs of intermediate mass black hole =
[tex]2 \times 6.674 \times 10^{-11} \times 1.0\times10^{4} /(3\times10^{8})^{2} = 1.48 x 10^{-23}[/tex]
D) Rs of the Sun =
[tex]2 \times 6.674 \times 10^{-11} \times\frac { 1.99 \times 10^{30}}{(3x10^{8})^{2}} = 2.95 \times 10^{3}[/tex]
E) Rs of micro black hole =>
[tex]2 \times 6.674 \times 10^-11 x\frac{ 2.0\times 10^{−8}}{(3 \times 10^8)^{2}} = 2.96 \times 10^{-35}[/tex]
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Complete question -
Black hole radius, large to small. What is the Schwarzschild radius of
(a) the supermassive black hole with 4.0×10^10 solar masses in the Abell 85 galaxy cluster
(b) the imaged M87black hole with 6.4×10^9 solar masses
(c) an intermediate mass black hole with 1.0×10^4 solar masses
(d) the Sun, with mass 1.99×10^30 kg
(e) a micro black hole with a mass of 2.0×10^−8 kg
a 10-n block and a 1-n block lie on a horizontal frictionless table. to impart equal horizontal accelerations, we would have to push the heavier block with
We would need to apply 10 times as much force to the heavier block in order to impart equivalent horizontal accelerations.
What is the correct unit of measurement for an object's weight?When the weight or gravitational force of an item is represented in "kilograms," the SI-noncompliant kg of kg f or kg-f, also called as the kilopond kp, is truly meant. The gravitational acceleration experienced by all things on the surface of the Earth is roughly 9.8 m/s2.
What is the weight formula?Weight = energy x gravity is the formula for relating mass and weight. This formula, which is also known as Newton's Second Law of Motion, states that force (or mass) is measured in Newtons (N), mass (m), and acceleration.
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Particle motion DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The acceleration of a particle is defined by the relation a= k (1-e-x), where k is a constant. The velocity of the particle V +9 m/s whenx3 m and it comes to rest at the origin. Problem 11.021.b -Obtaining velocity from a position-dependent acceleration by integration etermine the velocity of the particle when x=-2 m. he velocity of the particle is -13.58 m/s
If the velocity of the particle when x=-2 m. The velocity of the particle is +4.70 m/s.
Velocity is a measure of the rate at which an object changes its position in a given direction. It is a vector quantity, meaning that it has both magnitude and direction. The magnitude of velocity is the speed of an object, and the direction is the path that the object takes. In physics, velocity is defined as the rate of change of an object's position with respect to time. It is expressed mathematically as the derivative of position with respect to time, or v = dx/dt.
The velocity of a particle can be constant, meaning that it moves at a constant speed in a straight line, or it can be changing, meaning that the speed or direction of the particle is changing. For example, a car traveling down a road at 60 miles per hour has a constant velocity. However, if the car slows down, its velocity is changing, and if it turns a corner, its velocity is changing in direction as well.
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1.
Mechanical advantage is expressed in newtons squared.
True or false ?
Mechanical advantage has no unit, Hence, the statement that Mechanical advantage is expressed in newtons squared is False.
What is a mechanical advantage?A primary machine's mechanical advantage quantifies how much work goes into it and is used to manipulate the load. In other words, it is the ratio of a machine's input to output work. It has no units because it is the ratio of two identical quantities.
Mathematically, mechanical advantage = load/effort or work output/ work input
The higher the mechanical advantage of a machine, the more efficient will be the machine.
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the wheels on a car are spinning at 625625625 revolutions per minute. the car travels 888 feet every time the wheels spin around 111 revolution. what is the speed of the car in miles per hour? (round your answer to the nearest whole number. 1\,\text{mile}
The speed of the wheel on a car is 377 miles per hour. The result is obtained by using the equation of angular speed in relation to linear speed.
What is angular speed?An angular speed is a speed of an object in rotational motion. The angular speed in relation to linear speed is
ω = vr
Where
ω = angular speedv = linear velocityr = radius of a circleThe wheel on a car is spinning.
ω = 625 rev/minIt travels 8 feet/revolutionFind the linear speed of the wheel!
1 revolution means a circle of the wheel. The perimeter of the wheel is 8 feet.
The radius of the wheel is
P = 2πr
8 = 2(3.14)r
r = 8/6.28
r = 1.274 feet
r = 1.274 × 0.3048 m
r = 0.3883 m
We change the unit of angular speed to rad/s.
ω = 625 rpm
ω = 625 × 2π/60 rad/s
ω = 65.42 rad/s
The linear speed will be
ω = vr
65.42 = v(0.3883)
v = 65.42/0.3883
v = 168.5 m/s
Remember that 1 m/s = 2.237 mph.
v = 168.5 × 2.237 mph
v ≈ 377 mile per hour
Hence, the wheel of the car has the speed of 377 mile per hour.
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an ideal gas expands isothermally and reversibly to twice its original volume. which of the following statements are true?
A solid nonconducting sphere of radius R has a charge Q uniformly distributed throughout its volume. A Gaussian surface of radius r with r < R is used to calculate the magnitude of the electric field E at a distance r from thecenter of the sphere. Which of the following equations resultsfrom a correct application of Gauss’s law for this situation? And Why?1. E (4 p r^2) = (Q r^3)/( epsilon sub0 * R3)2. E(4pr^2)= (Q 3r^3)/ (epsilon sub0 * 4 p R)3. E (4 p r^2) = (Q) / (epsilon sub0)
Option 3 that is E (4 p r^2) = (Q) / (epsilon sub0) results from a correct application of Gauss’s law for this situation.
What is electric field?The electric flux through a closed Gaussian surface is proportional to the charge enclosed inside the surface, according to Gauss' law. Because the electric field is uniform at r from the sphere's center, the electric flux through a spherical Gaussian surface of radius r is proportional to the charge contained, Q, and the surface area, 4r2. As a result, the equation E (4 p r2) = (Q)/ is found. Option 1 and 2 are erroneous because they do not account for the uniform charge distribution throughout the sphere. The electric field at r from the center of the sphere is proportional to the charge enclosed within the Gaussian surface and the area of the surface, not to r3.
Here,
Option 3, E (4 p r2) = (Q) / (epsilon sub0), is the right application of Gauss' law in this scenario.
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new starif you follow the arc of the big dipper handle to the next bright star in the sky, you will finds appear to be formed in
If you follow the arc of the big dipper handle to the next bright star in the sky, you will find Arcturus.
Arcturus is a giant, orange star located in the constellation Bootes and is the brightest star in the northern celestial hemisphere. If you follow the arc of the Big Dipper handle, you will eventually find Arcturus, which is considered one of the most prominent stars in the night sky. It is approximately 36.7 light-years away from Earth and has a luminosity that is approximately 110 times greater than our sun.
Arcturus is a type of star known as a K-type giant, which means it has exhausted the hydrogen fuel in its core and expanded to its current size. This star is also known for its high proper motion, which means it appears to move rapidly across the sky relative to other stars. Arcturus is considered a key star for navigation, as its position in the sky remains relatively constant and can be used as a reference point for astronomers and stargazers alike.
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Your question seems to be missing, but I suppose the question was:
"If you follow the arc of the big dipper handle to the next bright star in the sky, you will find _____."
three objects are brought close to each other, two at a time. when objects a and b are brought together, they repel. when objects b and c are brought together, they also repel. which of the following are true? (select all that apply.)
Since all three objects a, b and c repel one another, they possess charges of the same sign.
Assuming all three objects are conductors, the electric charge, either positive or negative, will be evenly distributed throughout the object.
Opposite charges attract each other, while same charges repel. Object a and b repel when they are brought together, which means that both objects have the same charge. This is the same case with object b and c. This means that all three objects possess the same charge.
The multiple choices are most probably these:
A. Objects a and c possess charges of the same sign.B. Objects a and c possess charges of opposite sign. C. All three objects possess charges of the same sign. D. One object is neutral.E. Additional experiments must be performed to determine the signs of the charges.Learn more about electric charges at https://brainly.com/question/874116.
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A roller coaster starts from rest at its highest point and then descends on its (frictionless) track. Its speed is 34 m/s when it reaches ground level. What was its speed when its height was half that of its starting point? 12 m/s 24 m/s 17 m/s 28 m/s
A roller coaster begins at its highest point, where it is at rest, & then drops on its frictionless track. When it reaches the bottom, it moves at a velocity of 34 m/s & 24 m/s when it is halfway up from its starting place.
What is the potential energy whenever a roller coaster hits its greatest point?On a roller coaster, the gravitational potential is greatest at the top and lowest at the bottom. Kinetic energy (KE) is known as energy an item has due to its motion and thus is equal with one the item's mass multiplied by the object's velocity squared (mv2).
Is the descent and acceleration of a roller coaster potential or kinetic?The transformation of potential energy into kinetic energy drives the motion of a roller coaster. The potential energy of the rollercoaster ride cars increases as they are propelled to the summit of the initial hill. Potential energy is transformed into kinetic energy as the cars fall.
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a 12v battery delivers 3.5A at 10.95. Determine the internal Resistence of cell.
According to Ohms law, the resistance in a circuit is the ratio of its voltage to the current across the circuit. The resistance of the circuit with 12 v and 3.5 A current is 3.4 ohms.
What is Ohm's law?Ohm's law is one of the fundamental law in physics. It states that, the voltage over a circuit is the product of the resistance and current through the circuit.
hence, V = IR
Therefore, the voltage through a circuit is directly proportional to the current and resistance through the circuit. As the resistance increases, current through the circuit decreases.
The voltage in the cell = 12 V
current I = 3.5 A.
then internal resistance R = V/I
R = 12/3.5 = 3.4 Ω
Therefore, the resistance in the cell is 3.4 ohms.
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consider a naca 2412 airfoil with chord of 0.64 m in airstream at standard sea level conditions. the free steam velocity is 70 m/s. lift per unit span is 1254 n/m. using lift coefficient (cl) and drag coefficient (cd) data from figures below find: a. reynolds number of the flow over the airfoil. (3 points) b. angle of attack the airfoil is flying at. (3 points) c. drag force per unit span, in n/m. (6 points)
The airfoil's flow has a Reynolds number of 3013.5 N/m2 and is flying at a 23.77° angle of attack.
A chord on an aero foil is what?A chord line is a hypothetical straight line made between an aero foil's leading and trailing edges in the direction of the usual wind.
c=0.64m at sea level
V=70m/s at infinity
Lift per unit span is
L=1254N
The dynamic pressure is given as
Density of water at infinity p∞=1.23kg/m³
q=½p∞V∞²
q=½×1.23×70²
q=3013.5 N/m²
Now,
Lift coefficient is given as
Cl = L/qc
Cl= 1254 /(3013.5 × 2)
Cl= 0.83
Then, coefficient is given as
Cl=2πα
Where α is the required angle
α= Cl/2π
α = 0.83/2π
α=0.415rad
Now, 1 rad= 57.296°
Then, α=0.415rad =0.415×57.296°
α=23.77°
The angle attack is 23.77°
Or Cl can also be
Cl=2πSinα
Sinα=Cl/2π
Sinα=0.83/2π
Sinα=0.415
Then, α=arc sin(0.415)
α=7.24°
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listed below are the results of measurements taken on several different junction diodes. for each diode, the data provided are the diode current i and the corresponding diode voltage v. in each case, estimate is and the diode current at 750 mv
For each diode, the data provided are the diode current (I) and the corresponding diode voltage (V).
In each case, you can estimate the diode saturation current (IS) using the equation ([tex]VT = kT/q \cdot \ln(IS/I)[/tex]), where (VT) is the thermal voltage and (k) is Boltzmann's constant.
To estimate the diode current at 750 mV, you can use the diode equation ([tex]I = IS \cdot (e^{V/VT}-1)[/tex]) with the value of ([tex]I_S[/tex]) calculated above.
Boltzmann's constant, also known as k or kB, is a physical constant that connects the average kinetic energy of a particle to its temperature.
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genetic engineering 10 concept
Class 10 Genetic Engineering:
Genetic engineering is the modification of the genetic information of living organisms by manipulating DNA. H. Adding, deleting, or repairing pieces of genetic material (DNA) to change the phenotype of an organism. Also known as genetic engineering or recombinant DNA (r-DNA) technology.
About Genetic engineeringGenetic engineering is a technique of modifying the genetic molecular composition of an organism so that it has new properties. Genetic engineering is the essence of biotechnology which aims to obtain superior organisms or products. Genetic engineering can be applied to any organism, from plants to animals and even humans.
But until now, genetic engineering is more often applied in the fields of food, agriculture, and certain microorganisms. Genetic engineering allows scientists to transfer or implant genes from one organism to another. It can also remove certain genes that are considered unfavorable from an organism.
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calculate the velocity at time 2.1 s for a ball thrown straight up with an initial velocity of 15.0 m/s. take the point of release to be y0
Answer:
v = -5.38 m/s
Explanation:
can be calculated using the kinematic equation for vertical motion under constant acceleration (gravitational acceleration):
v = v_0 + a * t
v = 15.0 m/s + (-9.8 m/s^2) * 2.1 s
= 15.0 m/s - 20.38 m/s
= -5.38 m/s
which of the constructors below successfully updates the values of the newly constructed object's fields? (select all that apply) public class point { private int x; private int y; //constructor 1 public point() { int x
None of the provided constructors will change the values of the fields in the freshly created object.
public point()
{
this.x = 0;
this.y = 0;
}
When a new instance of an object belonging to a class is produced, a function Object() { [native code] }, a specific kind of method, is invoked. It is employed to initialise the fields of the object and establish their starting values. Constructors cannot have void as a return type and must have the same name as the class. Java will automatically create a default function Object() { [native code] } for you in the absence of a function Object() { [native code] } for a class. The default function Object() { [native code] } is not constructed, though, if you define a function Object() { [native code] } in the class. It's possible to have numerous constructors in a class, known as overloaded constructors, each with a unique set of arguments. Based on the arguments supplied to the relevant function Object() { [native code] } during object creation,
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graphing calculator is recommended. If a rock is thrown upward on the planet Mars with velocity 14 m/s; its height in meters seconds later is given y = 14t 1.86t2. (Round your answers to two decimal places (a) Find the average velocity (in m/s) over the given time intervals_ [1, 2] m/s [1, 1.5] mls [1, 1.1] mjs [1, 1.01] m/s [1, 1.001] mls (b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t = 1 m/s
A). The average velocity (in m/s) over the given time intervals is 7.94 m/s.
B). This value is the instantaneous velocity of the rock at t = 1 s, which is approximately 7.94 m/s.
The average velocity of the rock can be found using the formula: average velocity = (final position - initial position) / (final time - initial time).
(a) [1, 2] s: average velocity = (14(2) - 14(1) - 1.86(2^2) + 1.86(1^2)) / (2 - 1) = 4.14 m/s
[1, 1.5] s: average velocity = (14(1.5) - 14(1) - 1.86(1.5^2) + 1.86(1^2)) / (1.5 - 1) = 5.61 m/s
[1, 1.1] s: average velocity = (14(1.1) - 14(1) - 1.86(1.1^2) + 1.86(1^2)) / (1.1 - 1) = 7.31 m/s
[1, 1.01] s: average velocity = (14(1.01) - 14(1) - 1.86(1.01^2) + 1.86(1^2)) / (1.01 - 1) = 7.88 m/s
[1, 1.001] s: average velocity = (14(1.001) - 14(1) - 1.86(1.001^2) + 1.86(1^2)) / (1.001 - 1) = 7.94 m/s
(b)This value is the instantaneous velocity of the rock at t = 1 s, which is approximately 7.94 m/s.
Average velocity is a measure of the overall rate of motion of an object over a certain time period. It is different from average speed, which is a measure of the total distance traveled over a certain time period. Average velocity takes into account not only the distance traveled, but also the direction of motion.
Average velocity is calculated by dividing the change in position (displacement) by the time interval over which the motion occurs. It is expressed in units of distance per unit time, such as meters per second or miles per hour. The formula for average velocity is given by v = Δx / Δt, where Δx is the change in position and Δt is the change in time.
Average velocity is commonly used in physics and engineering to determine the motion of objects in one-dimensional systems, such as along a straight line. For example, the average velocity of a car traveling from one location to another can be determined by measuring the change in its position over a certain time period.
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let m be a square upper triangular matrix (as defined in exercise 12 of section 1.3) with nonzero diagonal entries. prove that the columns of m are linearly independent.
Let M n stand for an n-dimensional upper triangular square matrix. On n, we apply induction. There is no evidence to support the null hypothesis for n = 1. Assume that the assertion is accurate for n 1 and n > 1.
What is accurate ?
English language learners The definition of exact is the absence of faults or mistakes and the capacity to provide correct outcomes. view the definition of accurate in the Learner's Dictionary for English Language Learners.
What does accurate proofreading mean?
being diligent; acting or acting with care and accuracy: a thorough proofreader. [Latin: accrtus, done with care; accrre, to do with care] Ad-, ad- + crre, to care for (form cra, care; see cure) Accuracy (noun) Fifth Edition of the American Legacy® Lexicon of the English Language.
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a ball is thrown directly downward with an initial speed of 7.70 m/s, from a height of 29.9 m. after what time interval does it strike the ground
The ball strikes the ground after 2.46 seconds.
The time interval can be calculated using the following equation:
t = [tex]\frac{2h}{g}[/tex]
where h is the height from which the ball was thrown (29.9 m), g is the acceleration due to gravity (9.8 m/s), and t is the time interval.
Substituting the values, we get:
t = (2 x 29.9 / 9.8) = (59.8 / 9.8) = [tex]\sqrt{6.1}[/tex] = 2.46s
So, the ball strikes the ground after 2.46 seconds.
Time is a continuous progression of events that occur in a linear sequence. It is a measure of the duration between two events and is an essential aspect of our lives. Time is fundamental to our understanding of the world and our place in it, as it allows us to track the passing of days, seasons, and years. It is an intangible concept that is difficult to define but is central to our experiences of the world. Time is an essential component of physics, as it is used to measure the duration of physical events and the speed of processes. Time is often described as the fourth dimension and is related to space and matter, as well as energy and momentum.
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The jet car is originally traveling at a velocity of 10 m/s when it is subjected to the acceleration shown. When t = 0, s = 0. Suppose that a1 = 5.5 m/s2 , a2 = -3.5 m/s2 , and t′′ = 15 s
a. The car's maximum velocity is 92.5 m/s.
b. The time t' when the car stops is 41.429 s.
The question is not complete. A similar question is in the attachment. A jet car has acceleration, so the car moves in a non-uniform motion. The formula to calculate the final velocity in non-uniform motion
v₂ = v₁ + at
v₁ = initial velocity (m/s)a = acceleration (m/s²)t = time (s)v₂ = final velocity (m/s)Look at the picture. First part from t = 0 to t"
v₁ = 10 m/sa = a₁ = 5.5 m/s²Second part, from t" to t'
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determine the length of a hex head bolt for the following application: mounting hole size: 0.875 inch, mounting thickness including foot: 1.500 inches, plain washer thickness: 0.102 inch, lock washer thickness: 0.188 inch.
The minimum length of the bolt required is 2.665 inches, plus an additional length for the hex head.
The length of a hex head bolt for a specific application can be determined by adding up the thicknesses of the different components that make up the assembly. In this case, the components include the mounting hole, the mounting thickness including the foot, the plain washer, and the lock washer.
The mounting hole size is 0.875 inches, which is the distance between the surfaces being connected. The mounting thickness including the foot is 1.500 inches, which represents the thickness of the material to which the bolt will be attached.
The plain washer thickness is 0.102 inches, which is added to ensure even distribution of pressure on the mounting surface and to prevent damage to the surface during tightening. The lock washer thickness is 0.188 inches, which is added to prevent the bolt from loosening over time.
In total, the thicknesses of these components are 0.875 + 1.500 + 0.102 + 0.188 = 2.665 inches. Therefore, the minimum length of the hex head bolt required for this application is 2.665 inches.
It is important to note that this length does not include the length of the hex head itself. In most cases, an additional 0.25 to 0.375 inches is required for the length of the hex head.
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the pressure drop across a short hallowed plug placed in a circular tube through which a liquid is flowing through can be expressed as g
The pressure drop across a short, hallowed plug in a circular tube through which a liquid is flowing can be expressed as: ΔP = KΔv^2,
where ΔP denotes the pressure drop, Δv is the velocity change of the fluid and K is a constant of proportionality that depends on the geometrical parameters of the tube and the fluid properties.
What doe sthe above equation shows?The equation shows that the pressure drop is proportional to the square of the velocity change. The value of K can be determined experimentally or calculated using fluid dynamics models.
What causes pressure drop?The pressure drop is caused by various factors, including fluid viscosity, pipe roughness, diameter, and flow rate. The pressure drop across a pipeline is directly proportional to the fluid velocity.
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a river flows with a uniform velocity v. a person in a motorboat travels 1.52 km upstream, at which time a log is seen floating by. the person continues to travel upstream for 91 min at the same speed and then returns downstream to the starting point, where the same log is seen again. find the flow velocity of the river. assume the speed of the boat with respect to the water is constant throughout the entire trip. (hint: the time of travel of the boat after it meets the log equals the time of travel of the log.) answer in units of m/s
The uniform velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
What is speed?The pace and direction of an object or particle's movement are described by the vector quantity known as velocity. It consists of two elements: direction and speed.
motorboat is v + u
u is the speed
the person travels 1.52 km upstream
total distance covered by the motorboat is 1.52 km x (v + u).
The time taken by the person to travel upstream is 91 min. Therefore, the total time taken by the motorboat to cover the round trip (upstream + downstream) is 182 min.
total distance covered by the motorboat during the round trip is 3.04 km x (v + u).
the distance covered by the log during the round trip is also 3.04 km.
Therefore, the velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
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After an initial test run Mike determines that his pump does 240 J of work (W1). Calculate the amount of work (W2) in J that Mike would expect his pump to do if its volume were 3.5 times greater.
The Pump has a 240 J of work in normal condition. The change in volume of work will decrease the work performance of pump,
Since water discharge is equal to volume: [tex]Q=\frac{V}{t}[/tex]
And Power is equal to Work: [tex]P=\frac{J}{s}[/tex]
Then if the volume were 3.5 greater, than the Work of Pump will be 3.5 less than before, around 68.75 J
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two stones are thrown vertically upward from the ground, one with three times the initial speed of the other. assume free fall.
Stone speed is equal to three times stone speed if the stones are the same size. The stone will touch the earth in 10/3s, or 3.3 seconds because gravity will affect both stones equally during the fall.
When a stone is thrown vertically upward, what two forces are at work on the object?Gravitational force acts downhill when a stone is propelled vertically, while muscular force or an applied force acts upward.
Why does a stone being hurled vertically upward lose speed?Gravity tries to pull the stone down when it is thrown vertically upward, slowing down its motion. After a period, the velocity falls to zero as a result of this persistent downward drag.
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