a) electric field will be zero at (2.414 × d) distance from weaker charge Q, and at (3.414 × d) distance from the stronger charge 2Q
b) electric field will be zero at '0.414d' distance from weaker charge Q, and at '0.586d' distance from the stronger charge 2Q.
What is electric field?When charge exists in any form, an electric field is linked with each point in space. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field.
a)
Electric field is given by:
Assuming ₁ = Q, q₂ = 2Q, and suppose q₁ is at origin and q₂ is at x = +d
Now suppose at point P, distance x = - r electric field is zero, then
E(net) = E₁ - E₂ = 0
E₁ = E₂
kq₁/r₁² = kq₂/r₂²
r₁ = distance between q₁ and P = r
r₂ = distance between q₂ and P = d + r
Using above values:
q₁/r₁² = q₂/r₂²
Q/r² = (2Q)/(d + r)²
1/r² = 2/(d + r)²
(d + r)/r = √2
(d + r) = r × √2
r = d/((√2) - 1) = 2.414 × d
So. electric field will be zero at (2.414 × d) distance from weaker charge Q, and at (3.414 × d) distance from the stronger charge 2Q.
b)
Electric field is given by:
E = kq/R²
We know that the direction of the electric field will be away from the charge when the charge is (+)ve and towards the charge when the charge is (-)ve. Since q₁ and q₂ have the same sign in the example, the electric field between the charges will be zero.
Assuming q₁ = Q, q₂ = 2Q, and suppose q₁ is at origin and q₂ is at x = +d
Now suppose at point P, distance x = r from origin electric field is zero, then
E(net) = E₁ - E₂ = 0
E₁ = E₂
kq₁/r₁² = kq₂/r₂²
r₁ = distance between q₁ and P = r
r₂ = distance between q₂ and P = d - r
Using above values:
q₁/r₁² = q₂/r₂²
Q/r² = (2Q)/(d - r)²
1/r² = 2/(d - r)²
(d - r)/r = √2
d - r = r ×√2
r = d/((√2) + 1) = 0.414d
So, electric field will be zero at '0.414d' distance from weaker charge Q, and at '0.586d' distance from the stronger charge 2Q.
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in the town of centralburg (figure 1), which is laid out in a uniform block grid, the grocery store is three blocks east and four blocks north of the post office. which of the following is a correct equation for the quantities represented in this scenario?
A correct equation for the quantities represented in this scenario is
tan Θ=[tex]\frac{d_{n} }{d_{e} }[/tex].
Now, according to the question,
tanΘ=[tex]\frac{opp.\: side}{adj.\: side}[/tex]
Now, by the figure mention,
The side opposite to the angle Θ is [tex]d_{n}[/tex] and the adjacent sides is [tex]d_{e}[/tex].
The three primary trigonometric functions—Sine, Cosine, and Tangent—are based on a right-angled triangle.
Triangle with the opposite side, adjacent side, and hypotenuse can be declared by:
The terms "opposite" and "adjacent" refer to the angle's opposing and adjacent, respectively.
The long one is "Hypotenuse."
Now, put these values in the formula,
which gives the equation,
tanΘ=[tex]\frac{d_{n} }{d_{e} }[/tex]
Now, from the options given it is clearly seen that option-1 is correct.
Question: in the town of centralburg (figure 1), which is laid out in a uniform block grid, the grocery store is three blocks east and four blocks north of the post office. which of the following is a correct equation for the quantities represented in this scenario
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which statements correctly describe the effect of distance in determining the gravitational force and the electrical force? check all that apply.
Correct options are the gravitational force is inversely to proportional to the distance, and the electrical force is inversely proportional to the square o the distance.
What is relation between distance and force?Electrical force is the force that is exerted on charged particles due to the presence of other charged particles. It is a fundamental force of nature, and it is one of the four fundamental forces of physics, along with the strong nuclear force, the weak nuclear force, and the gravitational force. Electrical force is responsible for the behavior of charged particles in electric and magnetic fields, and it is the force that holds atoms and molecules together. The electrical force is mediated by the exchange of virtual photons.
Both gravitational and electric forces, according to Coulomb's law, decrease with the square of the distance between the objects, and both act along a line between them. However, in Coulomb's law, the magnitude and sign of an object's electric force are determined by its electric charge rather than its mass. Charge thus governs how electromagnetism influences the motion of charged objects.
[tex]$ F = k \frac{q_1q_2}{r^2}[/tex]
F = electric force
k = Coulomb constant
q₁, q₂= charges
r = distance of separation
And
[tex]$F=G{\frac{m_1m_2}{r^2}}[/tex]
F = force
G = gravitational constant
m₁ = mass of object 1
m₂ = mass of object 2
r = distance between centers of the masses
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The complete question is given below:
from watching the video, approximate the total time it took for kevin to cross his lawn on the zip line. if kevin has an initial velocity of 3 m/s and comes to a stop at the end of the zip line, calculate the distance he traveled.
The relationship between speed, distance, and time is described using the formula speed distance time. An object traveling 10 miles in 5 minutes averages 120 miles per hour.
What is speed divided by distance?10 miles were covered in total.
It took five minutes in total.
The formula can be used to determine the speed.
s = d/t
s being the speed
D stands for distance.
The amount of time used
Let's change the known variables in the equation above to get
s = 10/5
= 2 miles/minute
However, we must convert the speed to miles per hour in order to use it.
s=2 x 60 miles per hour
120 miles per hour.
An object traveling 10 miles in 5 minutes averages 120 miles per hour.
Consequently, the typical speed is 120 miles per hour.
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PLEASE ANSWER FAST
Select the statement(s) that accurately illustrate examples of energy transfer by radiation.
Heat emitted from a candle
Ocean waves on the surface of the sea Microwaves from a microwave oven
Radio waves transmitted between towers Sound waves from a car radio
Heat emitted from a candle, Microwaves from a microwave oven, Radio waves transmitted between towers, Sound waves from a car radio.
Illustrate examples of energy transfer by radiation?The examples of energy transfer by radiation mentioned above are heat, microwaves, radio waves, and sound waves. Heat is the transfer of thermal energy from one object to another, usually through the process of convection, conduction, or radiation. Heat emitted from a candle is an example of energy transfer by radiation.Microwaves are electromagnetic waves that are used to heat food in a microwave oven. The microwaves are generated by an oscillating electric current and then radiated into the oven, where they are absorbed by the food. This energy is then converted into heat, which cooks the food. Radio waves are used to transmit information between towers, such as those used for cellular phone communication. The towers emit radio waves, which travel through the air, and the information they contain is then picked up by the towers on the other end. Sound waves are also a form of energy transfer by radiation. When a car radio is playing, sound waves are emitted from the radio, which then travel through the air to your ears. The process of energy transfer by radiation is called electromagnetic radiation. This is the process by which energy is transferred from one place to another in the form of electromagnetic waves. Examples of electromagnetic radiation include visible light, infrared radiation, ultraviolet radiation, x-rays, and gamma rays.To learn more about the examples of energy transfer by radiation refer to:
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the two block in (figure 1) are at rest on frictionless surfaces. what must be the mass of the right block in order that the two blocks remain stationary? suppose that m
The right block must have a mass of 7.9 kg to balance the forces and remain stationary.
The two blocks remain stationary when the net force on the system is zero. In this case, the force of gravity on the two blocks is balanced by the tension in the rope connecting them. The tension in the rope can be determined using the sine of the angles and the masses of the blocks.
Tension = (mass1 × gravity) × sin(angle1) + (mass2 × gravity) × sin(angle2)
Substituting the known values:
Tension = (10 kg × 9.8 m/s²) × sin(23°) + (mass2 × 9.8 m/s²) × sin(40°)
Solving for mass2:
mass2 = (Tension - (10 kg × 9.8 m/s²) × sin(23°)) / (9.8 m/s² × sin(40°)).
The mass of the right block must be 7.9 kg for the two blocks to remain stationary.
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The question is -
Two blocks in the Figure below are at rest on frictionless surfaces What must be the mass of the right block so that the two blocks remain stationary? 4.9kg 6.1kg 7.9kg 9.8kg
For a reaction for which the activation energies of forward and reverse reactions are equal:A.ΔH=0B.ΔS=0C.the order is zeroD.there is no catalyst
When the activation energies of the forward and backward processes are equal, the energy of the reactant and product becomes equal.
Therefore, E=EAEB=0. The reaction has reached equilibrium when the forward and reverse reaction rates are equal to one another. When the rate of the forward reaction equals the rate of the reverse reaction, a system is said to be in chemical equilibrium. The activation energy () of the reverse reaction is the SUM of the activation energy of the forward reaction AND the energy released from the forward reaction, according to the information provided.
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Which vector goes from (4, 0) to (1, -3)?
A. a
B. c
C. b
D. d
Answer:
B. Vector c
Explanation:
You have to look for these two points (4,0) and (1,-3) on your graph (x, y) , and then you have to find which vector connects them together and that must be vector c
a bead slides without friction around a loopthe-loop. the bead is released from a height of 23.8 m from the bottom of the loop-theloop which has a radius 8 m. the acceleration of gravity is 9.8 m/s 2 .
Now the force equation at point A is given as f (n)= 0.05N
What height must the bead be launched from in order for it to complete the loop, minimum height h?h < (1/2)R.This means that the ball must start at a height that is at least half a radius above the top of the loop, or 2.5 radii above the ground, in order to travel around the entire circle.
v = 12.45m/s
Part B)
F(n) = 0.05N
As we know that the point A lies on the top of the loop
so we will have by energy conservation
so the speed at point A is given as
mg (H-2R) = 1/2 mv ²
v = √2 g (H-2R)
V= 12.45 m/s
Now the force equation at point A is given as
F (n)= 0.05N
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s the open sharing of ideas in an atmosphere of respect (in order to achieve understanding between the speaker and listener(s). group of answer choices selective perception scriptwriting dialogic communication defensive listening
Dialogic communication is the open sharing of ideas in an atmosphere of respect (in order to achieve understanding between the speaker and listener(s).
What is Dialogic communication?Dialogic communication is a method of communication that promotes dialogue between a speaker and their audience. In presenting their ideas to an audience, dialogic communication encourages speakers to be assertive (calm, respectful, and open). The dialogic theory is founded on three guiding principles: Monologue is less natural than dialogue. Meaning is found in people, not words. Perceived meanings are influenced by contexts and social situations (Bakhtin, 2001a; Bakhtin, 2001b). Mutuality, propinquity, empathy, risk, and commitment are the five principles underlying dialogic theory (Kent & Taylor, 2002). Mutuality is defined by an orientation toward inclusion or collaboration, as well as a spirit of mutual equality. Mutuality has two characteristics: collaboration and a spirit of mutual equality.
Here,
Dialogic communication is the open exchange of ideas in a respectful environment (to achieve understanding between the speaker and listener) (s).
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Scientists were surprised to discover that just like Saturn, all of the Jovian planets had __________ (Choose 3)1. Rings2. moons3. an inner core, mantle, and outer surface
Scientists were surprised to discover that just like Saturn, all of the Jovian planets had rings.
What are Jovian planets?Jovian planets include Jupiter, Saturn, Uranus, and Neptune and these planets have larger sizes and masses. Jovian planets do not have solid surfaces and they are sometimes called gas giants because they are large and made mostly of gases.
Jovian planets had rings but they were not as large or as well-known as Saturn's rings, but they were still present and visible under certain conditions. Unlike the terrestrial planets that make up our inner solar system, Jovian planets do not have solid surfaces.
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small fly of mass 0.28 g is caught in a spider's web. The web oscillates predominately with a frequency of 5.0 Hz Part A What is the value of the effective spring stiffness constant k for the web? Express your answer using two significant figures. VO AED k = N/m Request Answer Submit Part B At what frequency would you expect the web to oscillate if an insect of mass 0.56 g were trapped? Express your answer using two significant figures
The stiffness is 0.21 N/m and frequency is 2.84 Hz.
The effective spring constant k of the web can be determined as follows:
Stiffness is defined as the resistance to forces that bend a component. Firmness is very important to the end-use performance of many papers.
[tex]F= \frac{1}{2pi} \sqrt{\frac{k}{m} }[/tex]
k= 4 pi²f²m
= 0.21875 N/m
The frequency of the web's oscillations can be determined as follows: The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification. The unit of frequency is hertz (Hz), or one occurrence per second.
[tex]F= \frac{1}{2pi} \sqrt{\frac{0.21}{0.56 g} }[/tex]
= 2.84 Hz
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the average distance from the sun to the earth defines a special unit in astrophysics, the astronomical unit (au). please express this distance in units of cm, m, and km.
1.496E+11 metres, 1.4960E+13 centimetres, and 1.4960E+8 kilometres are all equivalent to one astronomical unit (au). The average distance between the sun and the earth serves as the basis for this peculiar unit.
The distance between any two places in space is equal to the length of the straight line connecting them, which is also the shortest path. This is the usual conception of distance in classical physics, especially in Newtonian mechanics. The straight-line distance is mathematically known as the Euclidean distance in two- and three-dimensional space. The physical concept of distance is employed in physics to explain how far an object has moved. Distance is a scalar quantity. SI units for distance A metre is the unit of distance according to the International System of Units.
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How do you get part (c)?
Part (a) Which statement best describes the numbers of protons and electrons in the penny when it is charged as indicated?
Electrons were added, and the number of electrons exceeds the
number of protons. ✔ Correct!
Part (b) How many electrons were transferred in order to create the charge on the penny?
Ne = 6.88 * 109
Ne = 6.880×109electrons ✔ Correct!
Part (c) By what percentage do the transferred electrons change the mass of the penny? (Express your result as a positive percentage for an increase, negative for a decrease.)
The percentage at which the transferred electrons change the mass of the penny is [- (n x 9.1 x 10⁻³¹)/m] x 100 .
What is charge?The deficiency or excess of electrons in an atom leads to the development of charge.
The total mass of coin after loosing electrons is calculated as follows;
= m - (n x 9.1 × 10⁻³¹ ) Kg
where;
m is the mass of the penny when no electron is lostn is the number of electronsThere will be decrease in the mass of the penny. So the amount of decrease in mass will be;
= final mass - initial mass
= m - (n x 9.1 × 10⁻³¹ ) - m
= - (n x 9.1 ×10⁻³¹ )
This negative sign indicates that the mass has decreased.
The percentage decrease in the amount of mass transferring the electrons is calculated as;
[- (n x 9.1 x 10⁻³¹)/m] x 100
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Suppose you wanted to reach Alpha Centauri (4.4 ly from the Solar system) in 70 years. How fast would you have to go, in km/hr? Express your answer using two significant figures. How many times faster is the speed you found in part A than the speeds of our fastest current spacecraft (around 50000 km/hr)? Express your answer using two significant figures.
Alpha Centauri (4.4 ly from the Solar system) in 70 years. The speed should be around 6.8×107 kph.
What is meant by speed ?
Speed is what it means. the speed at which an object's location changes in any direction.The distance traveled in relation to the time it took to travel that distance is how speed is defined.Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.In other words, velocity is a vector, whereas speed is a scalar value.The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance.As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.To learn more about speed refer to
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find a unit vector perpendicular and describe geometrically what th eocllection of all such vectors look like.
A unit vector perpendicular to a given vector is a vector of the same length but with a direction that is 90 degrees to the given vector. Geometrically, the collection of all such vectors forms a circle.
What is vector?
Vector is a mathematical object used to represent magnitude and direction. It is composed of a magnitude and a direction that can be represented in Euclidean space by an ordered pair of numbers. A vector can also be represented by a directed line segment to indicate the direction of the vector and its magnitude. Vectors can be used to represent many physical quantities such as velocity, force, acceleration, and electric and magnetic fields. Vectors are also used in calculus to represent derivatives of functions, enabling us to calculate the rate of change of the function.
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since a short-circuit condition resulting in fault current is of relatively low current magnitude compared to an overload current, removal of the fault current within seconds or minutes will generally prevent damage to the conductor or equipment. True or false?
False. Removing fault current within seconds or minutes may not be enough to prevent damage to the conductor or equipment.
What is meant by a short circuit?
A short circuit is an unintended connection between two points in a circuit that allows current to flow in an unintended path.This usually results in an excessive current draw, which can cause damage to components, overheating, and even fire.Short circuits can be caused by a variety of factors, such as wire insulation failure, faulty wiring, incorrect installation, accidental bridging of two wires, or corrosion.Short circuits can cause serious damage to electronic components and must be avoided.To protect against short circuits, fuses and breakers are used to protect the circuit from an excessive current draw.In addition, wiring should be checked and inspected periodically to ensure that it is in good condition and properly installed.To learn more about short-circuit refer to:
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A 500 g squirrel with a surface area of 895 cm2 falls from a 5.6-m tree to the ground. Estimate its terminal velocity. (Use the drag coefficient for a horizontal skydiver. Assume that the squirrel can be
approximated as a rectanglar prism with cross-sectional area of width 11.3 cm and length 22.6 cm. Note, the squirrel may not reach terminal velocity by the time it hits the ground. Give the squirrel's
terminal velocity, not it's velocity as it hits the ground.)
x m/s
What will be the velocity of a 50.0 kg person hitting the ground, assuming no drag contribution in such a short distance?
x m/s
8.3 m/s is the terminal velocity of the squirrel can be calculated using the equation for terminal velocity and 10.8 m/s is the velocity of a 50.0 kg person hitting the ground.
What is velocity?
Velocity is a measure of the speed of an object's motion in a particular direction. It is a vector quantity, meaning it has both magnitude and direction. Velocity is usually measured in meters per second (m/s).
The terminal velocity of the squirrel can be calculated using the equation for terminal velocity of an object in a fluid, which is given by Vt = (2×m×g)/(ρ×Cd×A). Here, m is the mass of the object, g is the acceleration due to gravity, ρ is the density of the fluid, Cd is the drag coefficient, and A is the reference area of the object. The drag coefficient for a horizontal skydiver is 0.8, and the density of air is 1.225 kg/m^3. Therefore, the terminal velocity of the squirrel can be calculated as Vt = (2×500×9.8)/(1.225×0.8×895) = 8.3 m/s.
The velocity of a 50.0 kg person hitting the ground can be calculated using the equation for the velocity at the end of a fall, which is given by Vf = sqrt(2×g×h). Here, g is the acceleration due to gravity and h is the height of the fall. Therefore, the velocity of the person hitting the ground can be calculated as Vf = sqrt(2×9.8×5.6) = 10.8 m/s.
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a bar rotates horizontally about its centre, reaching a maximum angular velicity in 6 complete raotaions from rest. the bar has a constant angular acceleratino of .110 radians
A bar rotates horizontally about its center, reaching a maximum angular velocity in 6 complete rotations from rest and has a constant angular acceleration of 0.110 radians.
What is angular acceleration?
The angular acceleration is the rate at which the angular velocity of an object is changing.
Therefore, since the angular acceleration of the bar is constant, this means that the angular velocity of the bar is increasing at a constant rate.
To find the angular velocity at any given time, we can use the equation: angular velocity = angular acceleration x time.
To find the final angular velocity, we can use the equation: final angular velocity = initial angular velocity + angular acceleration x time.
Therefore, the final angular velocity of the bar after 6 complete rotations is: 0 + 0.110 radians/s x (6 x 2π) = 6.832 radians/s.
To find the angle that the bar has rotated through, we can use the equation: angle = angular velocity x time
Therefore, the angle that the bar has rotated through after 6 complete rotations is: 6.832 radians/s x (6 x 2π) = 42.5 radians.
It's worth noting that angular velocity is a vector quantity, it's magnitude is given in radians/s and its direction is given by the right hand rule.
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Complete question is:
A bar rotates horizontally about its center, reaching a maximum angular velocity in 6 complete rotations from rest and has a constant angular acceleration of 0.110 radians. The movement of the interia of the bar about the raxis of the rotation is about 0.0216kgm^.
a. Show the final angular velocity of the bar is 3 radians.
b. Draw the variation with time t of the angular displacement 0 of the bar during the acceleration .
c. Calculate the torque acting on the bar while it is accelerating.
d. The torque is removed. The bar comes to rest in 30 complete rotations with constant angular deceleration. Determine the time taken for the bar to come to rest.
Repe
For a linearly decreasing force, the best way to find the area under the curve ques
is
rectangular approximation
take a wild guess
basic geometry
multiply the force times the distance
calculus
Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.
What is linearly decreasing force?
The electric lines of force start from a positive charge and ends on a negative charge.The electric lines of force always enter or leave the charged surface normally.Electric lines of force can never intersect each other.Every electric line of force starts with a positive charge and ends with a negative charge. The electric lines of force resist each other in the same direction but In opposite directions, electricity.On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.To learn more about force refers to:
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When joists do not completely span the distance from one wall to the other, you must offset the markings on the second wall by? A.2" B.3" C.1 1/4" D.1 1/2"
When joists do not completely span the distance from one wall to the other, you must offset the markings on the second wall by 1 1/2 inches. This is known as a "joist hanger offset."
What is Joist Hanger Offset Here are a few key points to consider when dealing with joist hanger offsets:The offset is necessary to ensure that the joists will be properly supported at both ends.Without the offset, the joists would be cantilevered, which can lead to structural problems over time.The offset is typically 1 1/2 inches, but it may vary depending on the specific requirements of the project.It is important to check the manufacturer's specifications for the joist hangers you are using to ensure that you are using the correct offset.Always consult a professional if you are unsure about how to properly offset joist hangers.It is important to note that the joist hanger offset can vary depending on the type of joist hanger you are using. So, always check the manufacturer's specifications for the correct offset. Also, it is always a good practice to consult a professional if you are unsure about how to properly offset joist hangers.To learn more about joist hanger refer:
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The area of a telescope lens is 7903 mm2. If a technician takes 45 s to polish an area of 135 mm2, how long (in hours) does it take to polish the whole lens? Select all the statements that are correct and relevant to solving this problem. Check all that apply. The starting point for the calculation is 7903 mm2. The solution to the problem will have units of mm2/s. Thc probiem aumes thr the conversóon betven econds and hours s nwm The information contains the conversion factor 5 135 mm The solution to the problem is 0.016 h. Do you know the answer?
The statements that are correct and relevant to solving this problem are:
-The information contains the conversion factor 45s/135mm²
-The starting point for the calculation is 7903 mm².
-The problem assumes that the conversion between seconds and hours is known.
What does "simple computation" mean?Calculation is both a process and a movement. Calculation's ultimate result is also a consequence of calculated action.
The calculator is a machine which thus calculates the average numbers and displays the results on a screen. It has a numerical keypad.
starting point is 7903 mm²
whit will be
A sec, min or her. (Here hour)
hour.
Assumes that the conversion between second and
hour is known.
Conversion factor.4513545-X 7903 = 2634.33 sec135
or 2634.33
0.732 hour
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Complete question:
A rock is dropped off a cliff and strikes the ground with an impact velocity of 30 m/s. How high was the cliff? A. 20 m B. 30 m C. 45 m D. 60 m
The height of Cliff is 45 m
It is given that
Velocity with which rock dropped from cliff =
30 m/s
intial velocity = 0 m/s
acceleration due to gravity = 10 m/s^2
We have to find how high was the cliff
v^2 - u^2 = 2as
(30)^2 - 0 = 2 x (-10) x s
900 = -20s
s = 45 m
Hence, height of Cliff is 45 m
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given that average speed is distance traveled divided by time, determine the values of \(m\) and \(n\) when the time it takes a beam of light to get from the sun to the earth (in \(\rm s\)) is written in scientific notation. note: the speed of light is approximately 3.0\(\times\)108 \(\rm m/s\). enter \(m\) and \(n\), separated by commas.
According to the solving the value of average speed m =5 and value of n =2.
What does a speed's average mean?The average speed is the total distance it travels in a predetermined amount of time. The typical speed is represented by a scalar value. It is characterised by the magnitude and lacks direction.
According to the given information:150 million kilometers separate the planet from the sun.
We are aware that a million
= 10^6 and 1 km= 10^3 m
Hence,
150 million km = 150× 10^6 ×10^3 metre=150×10^9 m
=1.5×10^11 m
The speed of light in a vacuum is 2.999... m/s, which is roughly equivalent to 3.0 108 m/s.
Calculating the time it takes for the light beam to travel from the sun to Earth is demanded of us.
we know that average velocity v = distance/time
Time ⇒ distance/velocity
Here distance=1.5×10^11 m and v=c= 3.0×10^8 m/s
hence time
=0.5×10^3 s
=5.0×10^2 s
m10n [where m is the magnitude and n is the power of 10] is the proper way to write a scientific notation.
Hence the value of m =5 and value of n =2
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which of the following statements does not use the term angular size or angular distance correctly? view available hint(s)for part a which of the following statements does not use the term angular size or angular distance correctly? the angular distance between those two bright stars in the sky is about 2 meters. the angular size of the sun is about the same as that of the moon. the angular distance between those two houses in the distance is 30 degrees. you can use your outstretched hand against the sky to estimate angular sizes and angular distances.
There are two prominent stars in the sky that are spatially separated by about two meters.
Which constellation has two of the brightest stars in the universe?
Second brightest and the brightest star in the night sky is Sirius, which is in the constellation Canis Major. With an apparent magnitude of -1.46, Sirius, the second brightest star, can be seen from anywhere. The Canis Major constellation contains the bright star in question. It is the Alpha star of this constellation.
Which of the two shining stars is it in the sky?
The Sun is the brightest star that can be seen from Earth and has a magnitude of 26.74. Sirius comes in second with a magnitude of 1.46 mag.
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Instantaneous power output of a 3-phase 60 Hz generator will not be constant under following condition:
A. The load draws only real power. B. The load is unbalanced. C. None of the other choices D. The load draws only reactive power. E. The load draws both real and reactive power.
Instantaneous power output of a 3-phase 60 Hz generator will not be constant under following condition when the load is balanced.
Instantaneous power output of a single phase 60 hz generator will be constant under reactive power.
Responsive power is otherwise called: ghost power. One more method for making sense of this is that responsive power is the resultant power in watts of an air conditioner circuit when the ongoing waveform is out of stage with the waveform of the voltage, normally by 90 degrees assuming the heap is simply receptive and is the consequence of either capacitive or inductive burdens. A model is fueling a brilliant light, in a responsive burden energy stream toward the heap a fraction of the time, though in the other half power streams from it, which gives the deception that the heap isn't dispersing or consuming power. Receptive power is one of the three kinds of force present in stacked circuits.
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A closed piston-cylinder system contains air (molecular weight M = 28.97 kg/kmol) at a temperature of 27'C and an absolute pressure of 100 kPa.
(a) Determine the specific volume of air, in m'/kg. Air in the cylinder is heated without changing its temperature until its volume doubles.
(b) Does the specific volume of air in the cylinder decrease, increase, or remain the same? Justify with quation(s).
c) Does the pressure of air in the cylinder decrease, increase, or remain the same? Justify with equation(s).
(a) The specific volume of air in the cylinder is heated without changing its temperature until its volume doubles is 0.861 m³/kg.
(b) Specific volume of air in the cylinder increases.
(c) The pressure of air in the cylinder decrease.
What is Specific volume?The amount of cubic metres that one kilogramme of matter takes up is known as the specific volume. It is the reciprocal of density and the ratio of a substance's volume to mass. In other words, specific volume is inversely related to density. Any state of matter may be measured or calculated for specific volume, but calculations involving gases are where it is most frequently applied.
Though it can also be expressed in terms of millilitres per gramme (mL/g) or cubic feet per pound (ft³/lb), the standard unit for specific volume is cubic metres per kilogramme (m³/kg).
(a) Specific volume =
[tex]$ \mathrm{ \hat V = \frac{V}{m} = \frac{RT}{P} }[/tex]
[tex]$ \mathrm{ =\frac{\overline RT}{mP} }[/tex]
[tex]$ \mathrm{ = \frac{8.314 \times 300}{28.97 \times 100} }[/tex]
[tex]$ \mathrm{ \hat V = 0.861 \ m^3/kg }[/tex]
(b) Mass will remain constant so on doubling the volume, specific volume will also be doubled i.e.
[tex]$ \mathrm{ \hat V_2 = 2\hat V_1 }[/tex]
Thus, specific volume increases.
(c) Since, T = constant
[tex]$ \mathrm{ P\hat V_1 = P\hat V_2}[/tex]
[tex]$ \mathrm{ \frac{P_2}{P_1} = \frac{\hat V_1 }{\hat V_2 } }[/tex]
[tex]$ \mathrm{ \frac{P_2}{P_1} = \frac{\hat V_1 }{2\hat V_1 } }[/tex]
[tex]$ \mathrm{ \frac{P_2}{P_1} = \frac{1 }{2 } }[/tex]
[tex]$ \mathrm{ P_2= \frac{1}{2} \times 100}[/tex]
[tex]$ \mathrm{ P_2=50}[/tex]
Thus pressure decrease in this case.
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Complete question:
Block A weighs 12 N and has an apparent weight of 8 N when completely submerged in an ideal fluid. Block B weighs 20 N and has an apparent weight of 12 N when completely submerged in the same ideal fluid. 2. The ratio of the densities Pa/ pe equals: a) 6/5 b) 5/4 c) 4/3 d) 3/4 e) 7/4 3. The ratio of the volumes VA/Vequals: a) 1/3 b) 1/2 c) 3/5 d) 2/3 e) 1/1
1) The ratio of density of A to density of B is 3/2.
2) The ratio of volume of A to the volume of B is 1/3.
How closely a material is packed together is determined by its density. As the mass per unit volume, it is referred to. D or is the symbol for density. Formula for Density = m/V, where is the density, m is the object's mass, and V is its volume.
Given:
Weight of A block = 12 N
Apparent weight of A block = 8 N
Weight of B block = 20 N
Apparent weight of B block = 12 N
Given is a relationship between apparent weight and original weight.
W' = W -B --- (1)
B = W dis liq - ρ liq V obj ---(2)
For block-A :
From equations (1) and (2),
W' = W - ρt V
Substitute the given values,
8 = 12 - ρt V
ρt V = 4 ---(3)
For block-B :
From equations (1) and (2),
W' = W - ρt V
12 = 24 - ρt V
ρt V = 12 ---(4)
From equations (3) and (4)
ρt VA/ρt VB = 4/12
ρt VA/ρt VB = 1/3
As a result, the ratio of volume of A to the volume of B is 1/3.
From given weights of A block and B block,
[tex]W_A}[/tex]/[tex]W_{B}[/tex] = 12/24 ---(5)
weight of an object in terms of volume and density can be written as,
W = ρ Vg
So, equation (5) written as,
ρA [tex]V_{A}[/tex]g/ρB [tex]V_{B}[/tex]g = 12/24
ρA/ρB × [tex]V_{A}[/tex]/[tex]V_{B}[/tex] = 1/2
Substitute [tex]V_{A}[/tex]/[tex]V_{B}[/tex] = 1/3
ρA/ρB ×1/3 = 1/2
ρA/ρB = 3/2
So, the ratio of density of A to density of B is 3/2.
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5. Brownian motion of smoke particles a) State and explain the observation. b) State and explain what will be observed if the temperature surrounding the smoke cell is increased: What is the function of Microscope,Lens and Smoke
(A) When an air particle bombards a smoke particles, the smoke particle moves to the same direction as the air particle that hit it. When another air particle hits the smoke particle, it changes its direction to that of the second air particle, and so on. This is called Brownian motion.
(B) If the temperature of the surroundings is increased the air particles would gain kinetic energy resulting in more frequent collisions with the smoke particles. Therefore, the smoke particles would be seen moving haphazardly.
(C) The microscope helps magnify the smoke particles for a much more better observation. The lens help in focusing. As the air particles are really small and cannot be observed; therefore, smoke particles are used as they are easy to see and observe; thus, ensuring a better experiment.
in thermo i, the total energy of the system will include all of the following forms of energy except:
The sum of all the kinetic and potential energies of a system's constituent pieces is the total energy of the system.
What is a thermodynamic system's overall energy?4 Energy total, where e=E/m and u=U/m. The terms "specific total energy" and "specific internal energy," respectively, are used to describe the variables e and u. The potential and kinetic energy are frequently zero or so negligible in the study of thermodynamic systems that they can be disregarded.The sum of all the kinetic and potential energies of a system's constituent pieces is the total energy of the system.Potential energy is both stored energy and positional energy.Chemical energy is the energy held in atoms' and molecules' bonds.Mechanical energy is the energy held under tension inside things.Nuclear energy is the energy that an atom's nucleus stores and uses to maintain its structural integrity.To learn more about total energy refer to:
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The electric potential V is given as a function of distance x (metre) by V=(5x 2−10x−9) volt. Value of electric field at x=1m is:
Value of electric field at x=1m is
electric field E= [tex]\frac{-dV}{dx} =[/tex] [tex]- \frac{-d(5x^{2} -10x - 9)}{dx}[/tex]
electric field E= -(10x-10)
electric field E= 0
An electric field is a physical phenomenon that surrounds electrically charged particles and exerts force on any other charged particles nearby, either attracting or repelling them. It can also refer to the physical field surrounding a system of charged particles.Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attracting force to hold atoms' atomic nuclei and electrons together.
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