The pressure reading on the upper portion of the pipe can be determined by using Bernoulli's equation. Bernoulli's equation relates the pressure, velocity, and height of a fluid in a steady state and incompressible flow.
The Bernoulli's equation states that:
P1 + 1/2ρv1^2 + ρgh1 = P2 + 1/2ρv2^2 + ρgh2
Where:
P1 = pressure at point 1 (232 kPa)
v1 = velocity at point 1 (2.04 m/s)
h1 = height at point 1 (0 m)
P2 = pressure at point 2 (unknown)
v2 = velocity at point 2 (3.26 m/s)
h2 = height at point 2 (12.28 m)
ρ = density of the fluid (842 kg/m3)
g = acceleration due to gravity (9.81 m/s^2)
We can plug in the given values and solve for P2:
P2 = P1 + 1/2ρv1^2 + ρgh1 - 1/2ρv2^2 - ρgh2
P2 = 232 + 1/28422.04^2 + 8429.810 - 1/28423.26^2 - 8429.8112.28
P2 = 232 + 8424.16 + 0 - 84210.66 - 10,205.9
P2 = -9,973.7 Pa
Therefore, the pressure reading on the upper portion of the pipe is -9,973.7 Pa which is approximately -99.74 kPa.
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Application of refraction of waves (at least 2 pls.Assignment to summit tomorrow and have test)
For numerous purposes, including magnification, a lens creates a picture of an object by refraction. People with poor vision use glasses that work on the refraction principle.
What is refraction?Refraction occurs when light bends or changes direction as it passes through one material and then another. For instance, when light strikes water after passing through the air, it refracts. As a result, a straw in a glass of water may appear bent at the water's surface. Some surfaces don't refract light or reflect it.
What causes refraction to occur?Refraction occurs as a result of variations in wave speed. In a denser substance like glass, light moves more slowly (in comparison to the speed it moves in the air). To keep the frequency constant, the wavelength will also shorten. Shallower water has slower-moving waves.
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True or False: a) In the Newton's law of gravitation, F = Gm1m2/r2, the masses m1 and m2 refer to inertial masses. b) For a cart moving along a track, with the x-axis parallel to the track, only the x-coordinate of the cart can change. c) If the cart is moving on the positive x axis, the x-component of velocity must be positive.
A) The given statement is true, Masses are inertial.
B) The given statement is true, parallel to x axis x coordinate is variable y coordinate is constant.
C) The given statement is false, x component of velocity may be positive. For a cart moving along positive x axis towards origin the x component of velocity is negative.
What is the gravitational law?Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them, according to Newton's law of gravitation.
All of the universe's material objects are subject to the force of gravity, also known as gravitation. If there is a difference in mass between any two objects or particles, gravity will tend to pull them in that direction.
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a 0.300 kg yo-yo hangs at the end of a 0.25 m long string. the yo-yo and string are whirled around such that they are rotating in a vertical plane. the velocity of the yo-yo at the top of the path is 4.00 m/s. what is the tension in the string at that top of the path?
G = 9.8 m/s2 is the gravitational acceleration. Yo-weight yo's is m = 0.3 kg. The string's length is L = 0.25 meters. Yo-top-of-the-path yo's velocity is equal to 4 m/s. At the top of the walkway, there is tension in the string.
In simple terms, what is gravitational force?
Any two mass-containing objects are attracted to one another by the gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive. d
What is gravity, and what does it look like?
The term gravitational force refers to the force that the earth exerts on a body. A ball that is tossed up goes up in the air, as do the leaves and fruits that fall from a tree downward towards the ground.
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suppose you throw a ball downwards with a certain initial speed from a certain height h above the ground, and someone else throws a ball directly upward at the same speed, so the two balls collide. will the two balls collide in the middle of the path (h/2), above the middle or below? please explain.
In the center of the pathway h by 2, below the Centre, the two balls clash.
When you throw the ball down, how quickly does it accelerate?9.8 m per s down .When an is thrown or dropped, the gravitational laws and relative motion are essentially the same. All three are comparable in that the ball always accelerates downward at a 9.8 m per sec rate, regardless of how it is dropped or tossed.
Is the ball accelerating or decelerating as it descends?The speed of an object falling downward, toward the attraction of gravity, increases with each passing second. However, if the object's original velocity was upward, it slows by around 10 m per sec for every second that passes.
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A migrating bird can travel at a speed of 30meter per second, how far Will it travel in 25minutes at this speed . give your answer in meters and in kilometers plss I need this answer in 15minutes
45 kilometres far Will it travel in 25minutes at this speed .
how far will it travel ?When a bird is migrating, its speed is 30 m/s, thus we must calculate how far it will fly. The distance we need to calculate should be in metres as well as kilometres in 25 minutes of journey time. The distance in metres will be calculated first in this case. Let's convert this time to seconds for that. Therefore, there will be 25 times 60 seconds in a minute. Given that there are 60 seconds in each minute, that is 15:00. Now that we have this equation, the distance here will be determined by multiplying it by the number of metres because we are treating all of the units as one. It will be 30 times 1500 miles. And if we multiply 1500 by 30, we get 45,000 metres as the distance. Now that we are aware that one mile is made up of 1000 metres, we may convert this distance to kilometres. Thus, we just divide this 45,000 by 8000. in order to convert the kilometres to 45.To learn more about speed refer to:
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: experiment with other values of strength and freq. to create other examples of standing waves. what values of strength and freq. lead to a standing wave with four nodes? five nodes? describe your results on a separate page.
For a standing wave with four nodes, you need a strength of 2 and a frequency. This creates a wave pattern with two loops, and four areas of minimum displacement.
what is frequency?
Frequency is a measure of how often something occurs, such as a sound wave or a particular event. It is expressed as a number of occurrences per unit time, such as vibrations per second, or as a fraction of the total number of occurrences over a specified interval, such as the proportion of a population that have a particular trait.
Frequency is an important concept in physics, engineering, mathematics, and other sciences. It is used to describe and analyze natural phenomena such as sound, light, and electricity, and to describe and analyze the behavior of systems such as mechanical, chemical, and biological systems.
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Two positive point charges q are placed on the x-axis, one at x = a and one at x = -a.
a. Derive an expression for the electric field at points on the x-axis, where ?a < x < a.
b. Derive an expression for the electric field at points on the x-axis, where x > a.
c. Derive an expression for the electric field at points on the x-axis, where x < -a.
The electric field at a point between 2 points is given by
E = 4 k Qax/(a² - x²)² (-i^)
The formula for the electric field at a location on the x-axis is,
E = k Q /r² ---(1)
where,
k is constant
q is magnitude of charge
r is the separation between the charge and the location of the electric field
So, we have to find the electric field at point (x,0) due to the both charges shown in the figure.
Due to point charge at point (-a,0) the electric field is in the positive x direction and due to charge at point (a,0) the electric field is in negative x direction.
E₁ be the electric field due to charge at point (-a,0)
E₂ be the electric field due to charge at point (a,0)
E₁ = k Q/(a + x)² i^
where the unit vector along the x-axis is i^
E₂ = k Q/(a - x)² (-i^)
E₁ + E₂ = k Q/(a + x)² i^ + k Q/(a - x)² (-i^) = -4 k Qax /(a² - x²)² i^
Thus, for a point between -a < x < a, electric field is given by E = 4 k Qax/(a² - x²)² (-i^)
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what is the speed of an electromagnetic wave with a frequency of 1.33 x 10 ^17 hz and a wavelength of 2.25 nm?
2.99x10^8ms is the speed of an electromagnetic wave with a frequency of 1.33x10^17Hz and a wavelength of 2.25nm.
What is electromagnetic wave?
Electromagnetic waves are undetectable shapes of vitality that travel in spite of the fact that the universe. In any case, you'll be able "see" a few of the comes about of this vitality. The light that our eyes can see is really portion of the electromagnetic range.
Given,
Frequency of wave = 1.33x10 ^17Hz =1.33x10 ^17s^-1
Wavelength of wave = 2.25nm=2.25x10 ^-9m
Formula utilized :
v=c/λ
where,
v = recurrence of light
λ= wavelength of light
c = speed of electromagnetic wave = ?
Now put all the given values within the over equation, we get:
1.33x10 ^17s^-1 =c/2.25x10 ^-9m
c=(1.33x10 ^17s ^-1) x (2.25x10 ^-9m)
c=2.99x10 ^8m/s
Therefore, the speed of electromagnetic wave is 2.99x10^8ms
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a 1 mf capacitor is fully charged with a 12 v battery. the battery is then removed and the capacitor is connected to an uncharged 2 mf capacitor. after the system reaches equilibrium, what will be the charge on the 1 mf capacitor?
After the system reaches equilibrium, the charge on the 1 mF capacitor will be 4 mC.
Since Q = CV, we see that the battery delivers (1 mF)(12 V) = 12 mC to the capacitor.
After the battery is removed and the second capacitor is connected, some of this charge will flow to the new capacitor.
Equilibrium is established when the potential difference, or voltage, is the same across each capacitor.
The two capacitors share 12 mC of charge and, since Q C, the 2 mF capacitor should get twice as much charge as the 1 mF capacitor: 8 mC vs. 4 mC.
What do you mean by capacitance?
Capacitance is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Capacitors are energy-storing devices available in many sizes and shapes.
What is the charge q on the capacitor?
The charge Q on the plates is proportional to the potential difference V across the two plates. The capacitance C is the proportional constant,
Q = CV, C = Q/V.
What are Q and V in capacitance?
The amount of charge that can be stored on each conducting plate of a capacitor can be calculated using the formula q = CV where q is the charge, C is the capacitance and V is the voltage.
Thus, the charge on the 1 mf capacitor is 4 mC.
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The Sierra Madre Oriental is located at number _____ on the map above; this is easy to remember because “oriental” is the Spanish word for “__________.”
The Sierra Madre Oriental is located at number 4 on the map above; this is easy to remember because “oriental” is the Spanish word for “east.”
What is oriental?Oriental is a term used to describe the cultures, people, and products of the far East, especially those of East and Southeast Asia. It is also sometimes used to describe the cultures of North Africa and the Middle East. In its broadest sense, orientals are any people from the Orient, which is considered to be the regions east of the Mediterranean Sea. The term has also been used to describe aspects of the cultures of the countries within this region.
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Why can work out never be greater than work in? What would that do to efficiency?
Answer:
Explanation:
Work out can never be greater than work in because when work out is greater than work in, this means that more energy is being produced than what is being put into the system. This is not possible, as it would violate the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed.
If work out were greater than work in, this would lead to an increase in efficiency, as the system would be able to produce more energy than what is being put into it. However, this increase in efficiency would be unsustainable, as it would eventually lead to an energy imbalance and a decrease in efficiency over time.
what is the speed uuu of the object at the height of (1/2)hmax(1/2)hmax ? express your answer in terms of vvv and ggg . you may or may not use all of these quantities.
The speed of the object at the height of (1/2)hmax is expressed in terms of vvv and ggg, without using the value of g and h.
What does the word "speed" mean?Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled about relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
How can we determined this?The speed of the object at the height of (1/2)hmax can be represented by the equation:
Speed = sqrt(2gh)
Where:
g = acceleration due to gravity
h = height
At the height of (1/2)hmax, the object has reached its maximum height and its speed is at its minimum, known as the "top speed." At this point, the object's vertical velocity (vvv) is equal to zero and its kinetic energy is equal to its potential energy, so we can write:
1/2mvvv^2 = mgh
Where:
m = mass of the object
By substituting the first equation into the second equation, we get:
1/2m(sqrt(2gh))^2 = mgh
Simplifying this equation, we get:
g = vvv^2 / 2h
Now, we can substitute the value of g back into the first equation:
Speed = sqrt(2gh) = sqrt(2 * (vvv^2 / 2h) * (1/2)hmax)
So, the speed of the object at the height of (1/2)hmax is:
Speed = sqrt(vvv^2 / 2)
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A 2110 kg car moving east at 10.2 m/s collided with a 3170 kg car moving east. The cars stick together and move east as a unit after the collision at a velocity of 5.03 m/s.
A) What is the velocity of the 3170 kg car BEFORE the collision? Please show your work and use this formula: +=(+)
B) what is the decrease in kinetic energy during the collision?
A) To find the velocity of the 3170 kg car before the collision, we can use the conservation of momentum principle. The principle states that the total momentum of a system remains constant if no external forces act on the system. In this case, the two cars form a closed system and no external forces are acting on them.
Given:
m1 = 2110 kg (mass of first car)
v1 = 10.2 m/s (velocity of first car)
m2 = 3170 kg (mass of second car)
v2f = 5.03 m/s (velocity of both cars after collision)
Using the conservation of momentum formula:
m1v1 + m2v2 = (m1 + m2)vf
2110 kg * 10.2 m/s + m2v2 = (2110 kg + 3170 kg) * 5.03 m/s
21632.2 + m2v2 = 5234.3 + 5.03 m/s
21632.2 = 5234.3 + m2v2
subtracting 5234.3 from both sides
16397.9 = m2v2
dividing both sides by m2
v2 = 16397.9/3170
v2 = 5.15 m/s
The velocity of the 3170 kg car before the collision is 5.15 m/s
B) To find the decrease in kinetic energy during the collision, we can use the conservation of energy principle. The principle states that the total energy of a closed system remains constant.
Given:
m1 = 2110 kg (mass of first car)
v1 = 10.2 m/s (velocity of first car)
m2 = 3170 kg (mass of second car)
v2 = 5.15 m/s (velocity of second car before collision)
vf = 5.03 m/s (velocity of both cars after collision)
Initial kinetic energy of first car = 1/2 * m1 * v1^2 = 1/2 * 2110 kg * 10.2 m/s^2 = 11096.2 J
Initial kinetic energy of second car = 1/2 * m2 * v2^2 = 1/2 * 3170 kg * 5.15 m/s^2 = 8073.36 J
Initial total kinetic energy = 11096.2 J + 8073.36 J = 19169.56 J
Final kinetic energy of both cars = 1/2 * (m1 + m2) * vf^2 = 1/2 * (2110 kg + 3170 kg) * 5.03 m/s^2 = 16100.57 J
Decrease in kinetic energy = Initial total kinetic energy - Final kinetic energy = 19169.56 J - 16100.57 J = 3068.99 J
The decrease in kinetic energy during the collision is 3068.99 J
if the electrical stress across a capacitor is excessive, it will be destroyed. therefore, the ? rating of capacitors should never be exceeded.
A capacitor's voltage would be destroyed if the electric stress across it is too great. Capacitor ratings should not be exceeded because of this.
What is voltage, exactly?An electric circuit's power source exerts pressure known as voltage on charged electrons (current), causing them to flow through a conducting loop and perform tasks like lighting a lamp. The voltage is expressed in volts and is simply equal to pressure (V).
Voltage and power definitions?A conducting wire's two terminals can differ in potential in units of volts. When ever a current from one amp travels over a voltage differential of one volt, the amount of work completed electrically is measured in watts. There is a proportionate relationship between watt and volt. Consequently, watt is precisely proportional to
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A Lego train moves 1. 25 m east and then 0. 75 m west along its track in 8 seconds. Determine the average speed and the average velocity of the train
The average speed and the average velocity of the train are 1.34m/s and 0.0625 m/s respectively.
Why is average speed equal to average velocity?Average speed is the total distance traveled by an object to the total time taken. However, average velocity is the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. Hence, the average speed and average velocity are equal if the total displacement is equal to the total distance that is if the body travels along a straight line without changing the direction.
Total distance /time = Average speed
=> Average speed = (1.25 + 0.75)/8
=> 1.34m/s.
Total displacement/ time = Average velocity
=> (1.25 - 0.75)/8 => 0.0625 m/s
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the wrecking crane shown below is moving toward a brick wall which is to be torn down. at what point in the swing of the wrecking ball should the ball make contact with the wall to make a collision with the greatest kinetic energy?
The ball should make contact with the wall at point (3) in order to to make a collision with the greatest kinetic energy.
What is Simple Harmonic Motion?Any oscillatory motion can be considered a simple harmonic motion if –{1} : If the acceleration of the oscillating body is directly proportional to its displacement from the mean position.
{2} : And the direction of the acceleration vector (a) is towards the mean position.
{3} : For a body undergoing simple harmonic motion, we can write
Displacement : x(t) = a sin(ωt + ϕ)Velocity : v(t) = ωa cos(ωt + ϕ)Acceleration : a(t) = -ω²a sin(ωt + ϕ)Potential Energy : U = (1/2) mω² a² sin²(ωt + ϕ)Kinetic Energy : K.E = (1/2) mω² a² cos²(ωt + ϕ)Total Energy : T = (1/2) mω² a²Given is the wrecking crane shown below is moving toward a brick wall which is to be torn down.
The wrecking ball is undergoing simple harmonic motion. Now, the Kinetic energy of the wrecking ball is maximum at point (3). The potential energy of the ball will be maximum and same at the points (1) and (4). At point (2), the energy will be 50% Kinetic and 50% potential.
E{1} = E{2} = U {max}E{3} = K.E. {max}E{2} = U{50%} + K.E.{50%}Therefore, the ball should make contact with the wall at point (3) in order to to make a collision with the greatest kinetic energy.
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Suppose the albedo of a planet is measured to be 40 percent. This means that: 40 percent of the Sun's energy is absorbed. 40 percent of the Sun's energy is reflected. 60 percent of the Sun's energy is reflected. more energy is reflected than absorbed.
If the albedo of a planet is 40% then it means that 40% of the sun's energy is reflected by the planet.
Albedo of a planet is the amount of solar energy that is reflected by a planet of surface. This term is used in astronomy to describe the reflective properties of a planet, satellite, or asteroids. Venus planet has the highest albedo in our solar system, which is 0.7 as a ratio of the light strikes the surface of the planet to the light reflected by the planet. Venus reflect 70% of the sunlight.
Albedo can be measured using a pyranometer device or satellite imagery, which detects the solar radiation of shorter wavelength in the form of watts per square meter (W/sq m).
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if you scuff electrons from your feet while walking across a rug, are you now negatively charged or positively charged?
If you scuff electrons from your feet while walking across a rug, you will become positively charged.
What is triboelectrification?Triboelectrification is the process by which two firstly uncharged bodies come charged when brought into contact and also separated.
This is because the friction between your feet and the rug causes electrons to get transferred from the rug to your feet. Since electrons carry a negative charge, and you have lost some electrons, you now have a net positive charge. The rug will be negatively charged because it has gained electrons. This process is popularly known as triboelectrification, which occurs commonly in nature.
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You get positive charge after walking on a rug since you lose electrons while doing so. The root cause of this is triboelectrification.
What is triboelectrification?Triboelectrification is the process by which two initially uncharged bodies become charged when brought into contact and then separated.
This is because the friction between your feet and the rug causes electrons to be transferred from the rug to your feet. Since electrons have a negative charge and you have lost part of your electrons, you now have a net positive charge. The carpet will now be negatively charged as a result of picking up electrons. It is frequently called as triboelectrification and occurs frequently in nature.
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A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position being 13 cm below yi.
Oscillation refers to the repetitive motion of an object that periodically returns to a fixed position. It can be described as the motion of an object back and forth around an equilibrium point.
What is Oscillations?Oscillations can be classified into different types based on the restoring force that causes the motion. The most common types of oscillations are harmonic oscillations, which are caused by a restoring force that is proportional to the displacement from the equilibrium point. A massless spring hanging from the ceiling with a small object attached to its lower end is a good example of harmonic oscillation. When the object is displaced from its equilibrium position and released, it will oscillate up and down, with its lowest position being 13 cm below yi.
This is a simple harmonic motion problem. The object oscillates about an equilibrium point, which is at yi. The amplitude of the oscillation is 13 cm, and the restoring force is provided by the spring. The motion can be described by the equation: y(t) = A * cos(2πft + φ), where A is the amplitude, f is the frequency, and φ is the phase constant. The frequency of the oscillation can be calculated using the formula: f = 1 / (2π * sqrt(k/m)), where k is the spring constant and m is the mass of the object.
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a force vector has a magnitude of 40 n and points at an angle of 300 above the positive x-axis. what are the x and y components of the vector (fx, fy)?
Another method for locating vector components is to use the angle measured in the opposite direction from the +x axis. Then, the x-component will always be cos and the y-component will always be sin.
What is the resultant vector's formula?
R = A + B. Instance 2 To create the resulting vector, two vectors facing the opposite direction are subtracted from one another. Here, the vector B is pointing in the opposite direction of the vector A, and the resulting vector is called R.
What is the equation for a vector's component form?
Form of Component: A vector's component form is represented as v=vx,vy, where vx is the distance between the initial and terminal points in a horizontal direction and vy is the distance in a vertical direction.
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Tatiana wrote a report for science class. Read these sentences from her report: Mars rotates nearly as fast as planet Earth. It is also tilted on its axis like Earth. The transition also is used to show what kind of relationship between the two ideas
Mars rotates nearly as fast as planet Earth, and its axis is also tilted just like the earth's axis. These ideas show the similarity of mars days and environment and the Earth's days.
Mars's radius is about 2106 miles, making it half the size of the earth. Its one rotation on its axis takes 24.6 hours, which is very close to the earth's day duration(23.9 hours). Mars days are called sols. Mars orbits around the sun in 669.6 sols, which is equivalent to 687 days of earth. Mars also has many terrestrial similarities like mountain, valleys, weather, etc. But the duration of various seasons on mars is longer than that of the earth.
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If an object'$ mass is decreasing while constant force is applied to the object; the acceleration a. decrceases b. remains the same c. increases.
If an object' mass is decreasing while constant force is applied to the object, the acceleration will increases option -c is correct.
Explain what acceleration is.Acceleration is the rate at which the speed and direction of a moving object change over time. When something speeds up or slows down, it is said to be accelerating. Motion on a circle accelerates even when the speed is constant because the direction is always changing.
An object's motion is altered by a net force; the greater the net force, the greater the acceleration. To accelerate at the same rate as less massive objects, heavier net forces are needed.
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For which of the regions shown in the figure is the observed effect the strongest? Region B Region CThe observed effect is the same for all three regions Region A
A region. Since Region A has the most severe temperatures and the most dramatic changes in temperature over time, the observed effect is largest there.
How does temperature work?
Temperatures describe how hot or cold something is to a specific degree. Both Celsius and Fahrenheit are frequently used units of measurement, with Celsius being the more popular one.
With typical temperatures between -40 and 40 degrees Celsius, temperatures can fluctuate from extremely cold to extremely hot. Numerous variables, such as height, latitude, and closeness to the water, can influence temperature. It is crucial to be aware of the temperature in a specific place before going because various climates might experience drastically varying temperatures.
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Note the complete question could be as bellow,
For which of the regions shown in the figure is the observed effect the strongest? O Region B O Region CO The observed effect is the same for all three regions O Region A
a 2 kg block starts at rest and is slides down a ramp from a height of 3 meters above the ground and reaches the ground with a kinetic energy of 50 j. determine the total work done by friction on the block as it slides down the ramp and explain what has happened to some of the gravitational potential energy
The total work done by friction on the block (2 kg block starts at rest and is slides down a ramp from a height of 3.0 meters above the ground and reaches the ground with a kinetic energy of 50 J) as it slides down the ramp = 44 J (option 4)
When an external force is applied to a system in a such that one of the components of the force is parallel to the displacement of the system, mechanical energy—the sum of kinetic and potential energy—is transported into or out of the system. Work is the term for the activity of transferring energy.
The change in the block's mechanical energy is what is known as the work done by friction;
ΔME = W
KE - PE = W
(50 - (2 x 3) = W
W = 50 - 6
= 44 J
The question is incomplete, it should be:
A 2.0-kilogram block sliding down a ramp from a height of 3.0 meters above the ground reaches the ground with a kinetic energy of 50 Joules. The total work done by friction on the block as it slides down the ramp is approximately
(1) 6 J
(2) 9 J
(3) 18 J
(4) 44 J
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Gold ornaments look new even after several years. Give reason.
Gold ornaments look new even after several years because gold is a very stable metal and does not corrode or tarnish easily. It is also a very soft metal, which means that it does not scratch easily.
The shiny appearance of gold is due to its metallic luster, which is maintained even after many years.
Additionally, gold does not react with most chemicals, so it does not discolor or degrade over time. This means that gold ornaments can retain their original appearance for a long time.
A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer radius r2=2r1 (see the figure (Figure 1)). At the center of the sphere is a point charge +Q/2. Plot V as a function of r from r=0 to r=2r2. Assume V0=3Q8πϵ0r2.
The graph V as a function of r determines the potential of charge at different radius. This instructs how to estimate the charge-related electric field strength.
What is the hollow sphere's net charge?There won't be any net charge within the Gaussian surface if we suppose any imaginary sphere inside the charged sphere. So, Σq = 0 . So, the net flux is equal to 0. Consequently, a hollow sphere has no electric field inside of it.
Where is the charge on a conducting hollow sphere?The entire charge will be on the periphery of a conducting hollow sphere, and the electric field strength within the conducting sphere will be zero. The entire charge will reside on the shell's outside in the case of a spherical shell, and there will be no interior field as well.
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Let A represent the ball moving at 2.00 m/s, and call that direction the positive direction. Let B represent the ball moving at 3.60 m/s in the opposite direction. Thus, VA =2.00 m/s and VB=-3.60 m/s. Use Eq. 7-7 to obtain a relationship between the velocities.
VA-VB=-(V’A-V’B) → V’B = 5.60 m/s+ V’A
Substitute this relationship into the momentum conservation equation for the collision, noting that MA=MB
Answer:
So the velocity of ball A after the collision is 1.80 m/s.
Explanation:
The momentum conservation equation for a collision is given by the equation:
MAVA + MBVB = MAV'A + MBV'B
Substituting in the given values, we have:
MA2.00 m/s + MB(-3.60 m/s) = MAV'A + (MB(5.60 m/s + V'A))
Since MA=MB, we can simplify the equation further:
2.00 m/s + (-3.60 m/s) = V'A + (5.60 m/s + V'A)
Solving for V'A, we get:
V'A = 1.80 m/s
So the velocity of ball A after the collision is 1.80 m/s.
you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.
you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.
Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.
To calculate the pressure at a depth of 10.9 ft below the surface of the water, you would use the formula for pressure due to a fluid: P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid above the point of measurement.In this case, the density of the water is 61.0 lbm/ft^3, the acceleration due to gravity is 32.2 ft/s^2. So the pressure at a depth of 10.9 ft is: P = (61.0 lbm/ft^3)(32.2 ft/s^2)(10.9 ft) = 2088.82 lbf/ft^2 or 1461.9 psiIt's important to note that the pressure underwater increases by 1 atmosphere or 14.7 psi (or 14.7 lbf/in^2 or 101,325 Pa) for every 33 ft of depth, this means that you have to add the atmospheric pressure (13.9 psi) to the pressure calculated above. Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.
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the length of perpendicular from the centre of a circle to a chord is 9 cm, if the length of the chord is 24 cm, find the radius and the circumference of the circle
the radius and the circumference of the circle
After solving the equation: The circumference of the circle is 159.7 cm.
What is circumference?Circumference is the distance around the edge of a two-dimensional shape or a three-dimensional object such as a circle or sphere. It is calculated by multiplying the diameter of the circle or sphere by the number pi (π).
Radius: Let AB be the chord of the circle with centre O.
We are given that the length of perpendicular from the centre O to the chord AB is 9 cm.
Let r be the radius of the circle.
We know that the line segment joining the centre of a circle to any point on the circle is the radius.
Therefore, in triangle OAB,
r = 9 cm (given)
AB = 24 cm (given)
By using Pythagoras Theorem in triangle OAB, we get
r2 = (9 cm)2 + (24 cm)2
r2 = 81 + 576
r2 = 657
r = √657
r = 25.6 cm
Therefore, the radius of the circle is 25.6 cm.
Circumference:
We know that the circumference of a circle is given by the formula
Circumference = 2πr
Therefore, the circumference of the circle is
Circumference = 2π × 25.6 cm
Circumference = 159.7 cm
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which requires more force, lifting 3kg vertical distance of 5 m or lifting 6kg load a vertical distance of 2 m
Lifting the 3kg load a vertical distance of 5m requires more force than lifting the 6kg load a vertical distance of 2m.
How to calculate the work done on an object?The work done on an object can be calculated using the formula:
Work = force x distance x cos(theta)
Where force is the force exerted on the object, distance is the distance moved in the direction of the force, and theta is the angle between the force and the direction of motion. The unit of work is Joules (J). To calculate the work done, we multiply the force exerted on an object by the distance moved in the direction of the force.
The work done on an object can be calculated using the formula:
Work = force x distance x cos(theta)
Where force is the force exerted on the object, distance is the distance moved in the direction of the force, and theta is the angle between the force and the direction of motion. The unit of work is Joules (J). To calculate the work done, we multiply the force exerted on an object by the distance moved in the direction of the force.
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