Electrical energy which is provided to the pump is transformed into gravitational potential energy and into sound in equal portions. Thus, the correct option is C.
What is the law of conservation of energy?
The principle of conservation of energy establishes that the energy cannot be created nor it can be lost alone. Energy can only be transformed, based on the principle of conservation of energy, the mechanical energy of the system is established as formed by the kinetic energy and the different in potential energies.
In this case, the electrical energy of the system is transformed into kinetic energy to raise the water temperature, when it reaches a height level where its actual speed is zero, all the mechanical energy is transformed into gravitational potential energy.
Therefore, the correct option is C.
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Your question is incomplete, most probably the complete question is:
Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only 50\%50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.
What happened to the electrical energy provided to the pump?
a. It mostly transformed into gravitational potential energy, and a small portion transformed into sound.
b. It mostly transformed into sound, and a small portion transformed into gravitational potential energy.
c. It transformed into gravitational potential energy and into sound in equal portions.
d. It mostly transformed into sound energy and gravitational potential energy, and a small portion disappeared.
the resistance of the connecting wires in a series circuit is generally ? the resistance of the load.
a car starts from rest at a stop sign. it accelerates at 3.47 m/s2 for 5.89 seconds, coasts for 2.61 s, and then slows down at a rate of 2.18 m/s2 for the next stop sign. how far apart are the stop signs?
The distance apart are the stop signs is found to be 208.78m
What is the length of the motion?The length of the maintains close an object's starting point and its destinations dictates how far it travels. Distance is the amount of time that an object moves over time. A force is applied to an item, and the more force is applied, the farther the thing will move.
The initial velocity =0
[tex]t_1= 5.89s ; a_1 = 3.47m/s^2\\\\t_2 = 2.61s ; a_2 =0\\a_3 = -2.18m/s^2[/tex]
d1 =
[tex]ut1 + 1/2a_1\times t_1^2 ;\\ u=0 = 1/2 x 3.47 x 5.89^2 = 60.1m[/tex]
v1 =
[tex]u + a_1\timest_1 = 0 + 3.47 \times 5.89 \\= 20.4m/s[/tex]
d2
[tex]= > v_1t_2 + 1/2a2t_2^2 = 20.4 \times 2.61 + 1/2 \times 0 \times t2^2 = 53.24m[/tex]
[tex]v_f = v_1 + a_3t_3[/tex]
=0 = 20.4 + (-2.18) x t3
[tex]t_3= 9.35[/tex]
d3
[tex]20.4 \times 9.35 -1/2 \times 2.18 \times 9.35^2 = 95.44m[/tex]
The distance between two stop is
[tex]d1+ d2+d3 = 60.1+ 53.24+95.44 \\ 208.78m[/tex]
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(a) what is the magnitude of the average acceleration of a skier who, starting from rest, reaches a speed of 12.0 m/s when going down a slope for 3.98 s? (b) how far does the skier travel in this time?
The magnitude of the average acceleration of the skier is 3.10 m/s²
The total distance traveled by the skier from the rest is 24.55 m
The initial velocity of the skier = 0 m/s
The final velocity of the skier = 12 m/s
The time taken to reach the slope = 3.98 seconds
The magnitude of the acceleration can be found using the formula,
a = (v - u) / t
where a is the acceleration
v is the final velocity
u is the initial velocity
t is the total time taken
Let us substitute the known values in the above equation, we get
a = 12 - 0 / 3.98
= 12/3.98
= 3.01 m/s²
The distance traveled by the skier can be found using the formula
s = ut + 0.5at²
= 0 x 3.98 + 0.5 x 3.10 x 3.98²
= 0.5 x 3.10 x 15.84
= 24.55 m
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magnetostatic fields have no divergence anywhere in space, but have a set of points with non- zero curl. what does this imply about the behavior of field lines for a magnetostatic field? explain.
Magnetostatic fields have no divergence anywhere in space but have a set of points with non-zero curls. this indicates the presence of magnetic charges.
The electromagnetic field, which is a type of magnetostatic field, exists when there are no time-varying electric fields. These fields are produced by the existence of magnetic charges, or "magnetic monopoles", which are imaginary particles having only a magnetic charge and no electric charge. In contrast to electric fields, magnetostatic fields are represented by the curl of a vector potential, and as a result, they do not diverge anywhere in space. Since the gradient of a scalar potential is what defines electric fields, they never have a zero divergence.
However, at some points in space, a magnetostatic field's curl might not be zero, indicating the presence of magnetic charges. The right-hand rule, which states that the thumb points in the direction of the field lines if the right hand's fingers are curled in the direction of the field's curl, can be used to describe the behavior of field lines in a magnetostatic field. In other words, the size of the curl at a particular place depends on the intensity of the magnetic charge there. In a magnetostatic field, field lines coil around magnetic charges.
In contrast, because electric fields are defined by the gradient of a scalar potential, they have field lines that are radial and point away from positive charges and in the direction of negative charges. Since magnetostatic fields do not diverge, they are conservative, scalar potential-explainable fields that do not change over time. Since the strength and placement of magnetic charges can be inferred from the curl of the field, they are advantageous in applications like magnetic imaging.
Magnetic materials and magnetostatic fields are closely related. For instance, in magnetic elements like iron, cobalt, and nickel, unpaired spin electrons produce magnetic moments. A magnetic field is created when these magnetic moments line up in the same direction.
The magnetostatic field is produced in this case by the interaction of the magnetic moments with the curvature of the field, which causes the field lines to bend inward around the magnetic moments. Given that they have a set of non-zero curl points but no divergence and that their behavior can be explained by the right-hand rule and scalar potential, it is assumed that magnetostatic fields are coiling around magnetic charges. This is related to magnetic materials' behavior and explains why they are useful in some electromagnetic applications.
Understanding the behavior of magnetostatic fields is essential for a range of applications, such as electromagnets, magnetic storage systems, and magnetic imaging technologies.
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when switching from a lower power objective to a higher power objective on a bright-field microscope, what happens to the amount of light that reaches the eye
When switching from a lower power objective to a higher power objective on a bright-field microscope : amount of light decreases. Higher power objective has smaller lens and so less light penetrates.
What is bright-field microscope?Bright-field microscopy is the simplest of all optical microscopy illumination techniques and sample illumination is transmitted white light, and contrast in sample is caused by attenuation of transmitted light in dense areas of sample.
Its simplicity makes it a popular technique. Appearance of bright-field microscopy image is dark sample on bright background. Light path of a bright-field microscope is extremely simple and no additional components are required beyond normal light-microscope setup.
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39. a 5.0-kg rock falls off of a 10 m cliff. if air resistance exerts an average force of 10 n, what is the kinetic energy when the rock hits the ground?
SOLUTION:
The kinetic energy when the rock hits the ground is 400 J.
The gravitational force acting on the rock = mg = 5 Kg × 10 m/s² = 50 N.
The net force on the rock = 50 N - 10 N = 40 N.
By the Work energy theorem,
Work done by net force = Change in kinetic energy of rock.
Since the initial kinetic energy is zero, F × S = K₁ - K₀ ( K₀ = 0)
→ F × S = K₁
→ 40 N × 10 m = K₁
→ K₁ = 400 J.
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At what temperature does water freeze in each scale?
Water freezes at 32 degrees Fahrenheit, 0 degrees Celsius, and 273.15 Kelvin, as we have all been taught.
What range of temperatures does water freeze at?Due to the salt in seawater, it freezes at a lower temperature than fresh water—approximately 28.4 degrees Fahrenheit. However, because only the water part of seawater freezes, a very little salt is present in the ice when it is formed.
At what scale of temperatures does water freeze at 273 degrees?The Kelvin scale, which measures temperatures in Kelvin, is frequently used by scientists, particularly those who investigate what happens to things when they get extremely cold (K). The steps on this scale are the same as those on the Celsius scale, however, they are moved downward. Water freezes at 273 K and boils at 373 K on this scale.
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what is the minimum cooking temperature for ground beef
The minimum internal cooking temperature for ground beef is 160°F (71°C) to ensure that harmful bacteria such as E. coli and Salmonella are destroyed.
At what temperature should ground beef be cooked?Ground beef should be cooked to an internal temperature of 160°F (71°C) as measured with a food thermometer to ensure that it is safe to eat. It is a versatile ingredient that can be used in a variety of dishes such as burgers, meatloaf, tacos, and spaghetti sauce
Why is it important to measure the temperature of beef?It is important to measure the temperature of ground beef in multiple places, especially for thicker cuts, to ensure that it is fully cooked and that harmful bacteria have been destroyed.
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A 2270kg elephant climbs a pedestal 1.2m high during a circus act. What is the elephant's potential energy
The formula for potential energy is:
PE = mgh
Where:
m = mass of the object (in kilograms)
g = acceleration due to gravity (9.8 m/[tex]s^{2}[/tex])
h = height above a reference point (in meters)
So for the elephant:
PE = 2270 kg × 9.8 m/[tex]s^{2}[/tex] × 1.2 m
PE = 27424 kg [tex]m^{2}[/tex]/[tex]s^{2}[/tex]
The elephant's potential energy is 27,424 kg [tex]m^{2}[/tex]/[tex]s^{2}[/tex].
What is potential energy?A form of energy stored in an object as a result of its position or state is called potential energy. It is determined using the object's mass, height, and gravitational force. It is the energy that an object holds due to its height, position, or tension. A stretched rubber band has potential energy because of the strain within it, whereas a rock placed at the peak of a cliff has potential energy because of its height. When the object is released or changes state, the potential energy can be converted into kinetic energy, which is the energy of motion.
Potential energy (PE) can be calculated using the formula PE = mgh.
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the mass of a subway car and passengers is 34,800 kg. if its acceleration as it leaves a station is 0.8 m/s2, what is the net force (in n) acting on it? (enter the magnitude.)
The net force acting on the subway car and passengers can be calculated using Newton's second law of motion:
F = ma = 34,800 kg * 0.8 m/s^2 = 27,840 N.
So the net force is 27,840 N, or 27,840 N in magnitude.
What is the acceleration of the subway car as it leaves the station?The acceleration of the subway car as it leaves the station is 0.8 m/s2. This means that every second, the subway car's velocity is increasing by 0.8 meters per second. The acceleration is a measure of how quickly the speed of an object changes and it plays an important role in determining the net force acting on the subway car and passengers. The net force is the force that drives the subway car forward and it is calculated by multiplying the mass of the subway car and passengers by the acceleration.
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hanna wants to calculate the terminal velocity of a typical meteorite just before it hits earth. she researches meteorites at the library and on the internet. what information does she need to find?
Answer:
a typical meteorite’s weight, surface area, and coefficient of drag; air density close to Earth
Explanation:
i just took the quiz lol :3
a hockey puck sliding along frictionless ice with speed v to the right collides with a horizontal spring and compresses it by 3.0 cm before coming to a momentary stop. part a what will be the spring's maximum compression if the same puck hits it at a speed of 2v ? what will be the spring's maximum compression if the same puck hits it at a speed of 2? 3.0 cm 3.8 cm 6.0 cm 7.6 cm 10 cm
The spring's maximum compression if the same puck hits it at a speed of 2v will be 7.6 cm.
This is because the force of the impact is directly proportional to the puck's speed, so when the puck's speed doubles, the force of the impact doubles as well.
To calculate the spring's maximum compression, we can use the equation F = kx, where k is the spring constant, x is the maximum displacement, and F is the force of the impact.
Since we know the puck's speed (2v) and the maximum displacement (3 cm), we can solve for k to get k = F/x = (2v)/3. We can then use this value of k to calculate the maximum displacement at a speed of 2v, which is
x = F/k = (2v)/(2v/3) = 3*(2/3) = 2v.
Finally, we can multiply this value of x by 2 to get the spring's maximum compression for a speed of 2v, which is 7.6 cm.
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a fighter jet is launched from an aircraft carrier with the aid of its own engines and a steam-powered catapult. the thrust of its engines is 1.80 105 n. in being launched from rest it moves through a distance of 87 m and has a kinetic energy of 4.30 107 j at lift-off. what is the work done on the jet by the catapult?
A fighter jet being launched from such an aircraft carrier using a steam-powered catapult and its own engines. Its engines produce 2.3 x 105 N of thrust.
What speed is reached when a jet fighter aircraft is fired from a slingshot on an aircraft carrier?
42 m/s On an aircraft carrier, a catapult is used to launch a jet fighter. Just at end of the sling, it takes 2 seconds to achieve velocity of 42 m/s. What is the catapult's length if the acceleration is constant?
How strong is the aircraft carrier's catapult?
Catapults A 48,000-pound aeroplane was launched 300 feet and increased in speed from 0 to 165 miles an hour in two seconds by four steam-powered catapults. On every
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a solid sphere of radius is made of a metallic conductor. a hollow spherical shell of the same radius is made of the same conducting material. an excess charge is deposited on each. 1) which object has the greatest surface charge density?
From the information given, both objects have the same surface charge density.
What do you mean by surface density?A two-dimensional object's area density (also known as areal density, surface density, superficial density, areic density, mass thickness, column density, or density thickness) is calculated as the mass per unit area. The kilogramme per square metre (kgm2) is the SI-derived unit. A related area number density can be established by replacing mass with a countable quantity such as the number of particles.
surface charge density() is the amount of charge per unit area measured in coulombs per square metre (Cm2) at any location on a two-dimensional surface. If q is the charge and an is the area of the surface over which it flows, the surface charge density formula is = q/A, and the S.I.
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onsider a solid cylindrical rod whose ends are maintained at constant but different temperatures while the side surface is perfectly insulated. there is no heat generation. it is claimed that the temperature along the axis of the rod varies linearly during steady heat conduction. is this claim reasonable?
Yes, the claim is reasonable. In steady-state heat conduction, the temperature distribution in a solid cylindrical rod with constant temperature boundary conditions and insulated side surface will indeed be linear along the axis. This is because heat is conducted through the rod by diffusion and the rate of heat flow is proportional to the temperature gradient. In a cylinder, the temperature gradient is maximum at the boundaries and zero at the center, leading to a linear temperature distribution.
About TemperatureTemperature, or temperature is a measure of the level or degree of heat on an object. Temperature shows the level of the amount of heat energy that is in the object. Discussion: The higher the temperature of an object, the hotter it is, and the more heat energy in that object.
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the forces shown on the pole can be reduced to a single force and a single moment about which point?
The forces shown on the pole can be reduced to a single force and a single moment about the base of the pole. This is because the base is considered to be the pivot point, and all other forces and moments acting on the pole can be resolved into a single force and moment at this point.
About ForcesForce in physics is any interaction that can cause an object with mass to change motion, either in terms of direction or geometric construction. Force is the push or pull exerted on an object. To perform a style, energy is needed. Force and power have different meanings, but they are related. Style cannot be seen, but its influence can be felt. The pull and push that is done requires energy.
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p1.7. the charge of an electron is a current of 1 a flows in a wire carried by electrons. how many electrons pass through a cross section of the wire each second? *p1.8. the end
A wire carrying electrons experiences a 1A current. How many electrons traverse a wire's cross - sections every second. This is a somewhat easy but challenging task.
The definition of "current" as given by Techopedia What Does It Mean, Today?
Electrons are one type of electrical charge carrier that flow as current. Current flows from positive to good elements. The SI unit for measuring electric current is the ampere (A). One ampere of current is the amount of electrical current that crosses a specific area in one second and has the color pink.
What stands in for the moment?
The letter I, which is derived from the French term translation initiation du courant, is often used to denote current (current intensity). Current intensity is usually described by the word "current." The electric current unit's inventor André-Marie Ampère used the I symbol to create his force law (1820).
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g a motorboat is heading straight across a river (the boat points its bow straight towards the other side). due to the river's current, it will not reach the shore directly across from its starting point. the motorboat moves at a velocity of 4 m/s directly across the river (east), and the river moves at a velocity of 3 m/s (north). what is the resultant angle of the motorboat's direction of motion, relative to a line drawn directly across the river?
In relation to a line drawn exactly across the river, the angle at which the motorboat is moving, as a result, is 53.1°.
According to the question;
Finding the resulting angle between the motorboat's motion direction and a line drawn directly across the river is the solution to the problem.
The motorboat's speed may be represented by the vector (v₁) = 4 m/s in the east
The river's speed by the vector (v₂) = 3 m/s in the north.
The motorboat's final speed is determined by adding these two speeds together:
v = v₁ + v₂.
v = (3 m/s)j + (4 m/s)i
The inverse of the tangent function may be used to calculate the angle θ between the direction of the resulting velocity and a straight line across the river:
θ = tan^-1 (v₂/v₁) = tan^-1 (3/4)
⇒ θ = 0.93 radians or 53.1°
Therefore, the motorboat's direction of travel is at an angle of 53.1° with respect to a line that is drawn immediately across the river.
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Rank the following worlds by the strength of wind erosion currently operating on their surfaces, from greatest to least: a. Mercury b. Venus c. Earth d. Moon e. Mars
The five planets listed in order of the strength of the wind erosion that is currently occurring on their surfaces are EARTH, VENUS, MARS, MOON, and MERCURY.
What is the name of Earth?Contrary to popular belief, Earth does not possess a recognized international name. "Terra" is only a widespread misunderstanding of the planet's scientific name. Earth is the planet's commonly used name in English, including in science.
What exactly is the Earth?Our own planet, Earth, is a world unto itself. Earth, the third planet around the sun, represents the only place as in known cosmos where the presence of life has been established. Earth is really the fifth biggest planet within the solar system with the a radius of accredited miles, and it is the only one whose existence is known for definite.
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John walks away from his house at a constant speed of 2 m/s for 10 seconds , he then remembers he lost his key and immediately runs back to his house at a speed of 4 m/s in 5 seconds
The acceleration of John during the entire motion is 1.2 m/s².
What is the acceleration of John?
The acceleration of John during the entire motion is calculated by applying the following formula as shown below.
a = Δv / Δt
where;
Δv is the change in velocityΔt is the change in time of motiona = ( v - u ) / ( t₂ - t₁ )
a = ( 4 m/s - - 2 m/s ) / ( 10 s - 5 s )
a = ( 6 m/s ) / ( 5 s )
a = 1.2 m/s²
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The complete question is below:
John walks away from his house at a constant speed of 2 m/s for 10 seconds , he then remembers he lost his key and immediately runs back to his house at a speed of 4 m/s in 5 seconds. find the average acceleration during the journey
if the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?
The impact velocity of a stone thrown from a cliff with a certain beginning speed and angle is determined by various parameters, including air resistance, cliff height, and angle of throw.
What is velocity?The velocity of an object or particle with respect to time is represented as a vector. The conventional unit of velocity magnitude is the meter per second (m/s) (also known as speed). The magnitude of velocity can also be given in centimeters per second (cm/s). The velocity of a body or item defines its moving direction. Speed is a scalar number at its core. Velocity is essentially a vector quantity. It refers to the rate at which distance changes. It is the rate of change in displacement.
Here,
The vertical component of the initial velocity would also be decreased, resulting in a lower impact velocity when the stone lands. The precise impact velocity would be determined by the scenario's characteristics, such as the height of the cliff, the angle of the throw, and the air resistance encountered by the stone.
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water goes through a constant-pressure process from a state with a temperature of 225 of and a pressure of 10 psi to a temperature of 500 of. determine the change in internal energy of this water, in btu/lb.
The change in internal energy can be calculated as q = 275 BTU/lb.
The change in internal energy of the water can be determined using the First Law of Thermodynamics, which states that the change in internal energy is equal to the heat added to the system.
Assuming that the pressure is constant throughout the process, the heat added can be calculated using the formula:
q = C-pm (T-f - T-i), where C-p is the specific heat of water at constant pressure (1.0 BTU/-lb-°F), m is the mass of the water (1 lb), and Ti and T-f are the initial and final temperatures (225°F and 500°F respectively).
Therefore, the change in internal energy can be calculated as q = 1.0 * 1 * (500 - 225) = 275 BTU/lb.
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a mack truck and a volkswagen traveling at the same speed have a head-on collision. the vehicle that undergoes the greatest change in velocity will be the
The vehicle that undergoes the greatest change in velocity will be the mack truck.
A head-on collision occurs when the front ends of two moving objects, such as cars, trains, ships, or aeroplanes, collide while moving in the opposite direction.
A mack truck and a Volkswagen are moving at the same speed.
They collide head on collision.
The vehicle that undergoes the greater change in velocity is to be found out.
Due to the nature of the vehicle, the Volkswagen will experience a bigger shift in velocity following the impact. Compared to the truck's weight, the Volkswagen is lighter. Volkswagen is lighter due to streamlining.
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2. Wave that requires a medium and can not travel through a vacuum
Answer:
Longitudinal (sound waves, heat transmission, etc.) require a medium for transmission, air, insulation, etc.
Transverse waves - light, radio, etc can travel thru a vacuum
A person is playing on a merry-go-round, where they spin on a large rotating disk. They spin around at two different positions: close to the center and on the edge. Which
statement best describes how the moment of inertia and angular velocity change to conserve the angular momentum at each position?
The person will experience a greater force of centripetal acceleration when they are positioned on the edge of the merry-go-round.
What is centripetal acceleration?Centripetal acceleration is the acceleration that acts towards the centre of a circle and is required to maintain an object in circular motion. It is a type of acceleration that is directed towards the centre of the circle and is perpendicular to the velocity of the object.
The formula for centripetal acceleration is given by:
a = v^2 / r
where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.
In simple terms, centripetal acceleration is what keeps an object moving in a circular path. It is the result of a force that acts towards the centre of circle and is proportional to the square of the object's velocity and inversely proportional to the radius of the circle.
In context to the above statement
When the person is positioned on the edge of the merry-go-round, the radius of their circular path is at its maximum. As the radius increases, the velocity required to maintain circular motion also increases. Therefore, the centripetal acceleration experienced by the person is greater on the edge compared to when they are positioned close to the centre.
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g water travels down a pipe with a square cross-section at a velocity v1. this pipe is connected to another pipe with a circular cross-section by a small fitting. if the square pipe has side length a, and the circular pipe has a radius of a, what is the velocity of the water in the circular pipe?
The velocity of the water in the circular pipe is v2 = v1 / π, where v1 is the velocity of the water in the square pipe.
What is the velocity of water?The velocity of water in the circular pipe can be determined using the principle of conservation of mass and the equation of continuity. The equation of continuity states that the product of the cross-sectional area of a pipe and the velocity of the fluid flowing through it must be constant.
For the square pipe, the cross-sectional area is given by A1 = a^2, and for the circular pipe, the cross-sectional area is given by A2 = πr^2 = πa^2.
So, we can write the equation of continuity as:
A1 * v1 = A2 * v2
Substituting the values for A1 and A2, we get:
a^2 * v1 = πa^2 * v2
Solving for v2:
v2 = v1 / π
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A food calorie (kilocalorie) tells you how much energy is in different foods.
Each type of carbon compound has a certain number of food calories per gram. Fat contains 9 food calories per gram. Carbohydrate and protein each contain 4 food calories per gram.
Based on this information, answer the following.
1. How many food calories in the product above come from fat?
2. How many food calories come from carbohydrate?
3. How many food calories come from protein?
4. How many food calories are in a serving of the product?
1. Fat produces 9 food calories per gram.
2. Carbohydrate produces 4 food calories per gram.
3. Protein produces 4 food calories per gram.
What is calorie?The term "calorie" and the symbol "cal" usually generally refer to the big unit in nutrition and food research. It is typical practice to describe the energy content of foods in terms of serving size or weight, the recommended daily calorie intake, metabolic rates, etc. on package labels and in publications.
To prevent misunderstanding, some authors advise using the capital C-spelled terms Calorie and Cal instead of other terms. This standard, however, is frequently disregarded.
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which one of the following is not true about energy conversion devices?
Energy conversion devices do not follow the equation Overall Energy Intake = Energy Output / Efficiency.
What are energy and its measure?Energy is the capability to accomplish labor. The amount of labor an organism's stored energy is capable of performing after it is expended. energy is a scalar quantity. The term "joule" refers to the SI unit of energy. The quantity of energy required to do one photon of activity is one joule.
What is the simplest definition of energy?Scientists refer to energy as the ability to work. Modernity is feasible because people have learned how to transfer information from one media to another and then use it to complete tasks.
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a 40-kg crate attached to a rope is being lowered with a downward acceleration of 2.0 m/s2. what is the magnitude of the force exerted by the rope on the crate?
The magnitude of the force exerted by the rope on the crate is 312.4 N (Newtons).
We can use Newton's second law of motion to find the net force on the crate:
[tex]\[ F_{\text{net}} = m \cdot a \][/tex]
where:
[tex]\( F_{\text{net}} \)[/tex] = net force on the crate (the force exerted by the rope)
[tex]\( m \)[/tex] = mass of the crate (40 kg)
[tex]\( a \)[/tex] = downward acceleration of the crate [tex](2.0 m/s\(^2\))[/tex]
Substitute the given values into the equation:
[tex]\[ F_{\text{net}} = 40 \, \text{kg} \times 2.0 \, \text{m/s}^2 \]\[ F_{\text{net}} = 80 \, \text{N} \][/tex]
Now, we need to consider the force of gravity acting on the crate, which is given by:
[tex]\[ F_{\text{gravity}} = m \cdot g \][/tex]
where:
[tex]\( g \)[/tex] = acceleration due to gravity [tex](approximately 9.81 m/s\(^2\))[/tex]
Substitute the given values into the equation:
[tex]\[ F_{\text{gravity}} = 40 \, \text{kg} \times 9.81 \, \text{m/s}^2 \]\\\ F_{\text{gravity}} = 392.4 \, \text{N} \][/tex]
The force exerted by the rope on the crate is equal in magnitude but opposite in direction to the force of gravity. So, the magnitude of the force exerted by the rope on the crate is:
[tex]\[ F = F_{\text{gravity}} - F_{\text{net}} \]\\\\\ F = 392.4 \, \text{N} - 80 \, \text{N} \]F = 312.4 \, \text{N} \][/tex]
The magnitude of the force exerted by the rope on the crate is 312.4 N (Newtons).
Know more about Newton's law:
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what is the grain fall or settling velocity? how is it determined? when does grain suspension occur?
The grain fall or settling velocity is the speed at which a single grain of sediment falls through a fluid under the influence of gravity. It is determined by the size, shape, and density of the grain, and the fluid properties such as temperature, viscosity, and fluid density.
Grain suspension occurs when the upward fluid velocity exceeds the settling velocity of the grain, causing the grain to remain suspended in the fluid and not settle to the bottom. This can occur in a variety of natural systems, such as rivers and oceans, and is an important factor in the transport of sediment in these systems.
About GravityGravity is one type of force that is affected by the force of attraction of an object to the center of the object. Therefore the notion of the gravitational force of the earth is the pulling force of an object towards the center of the earth. The force of gravity is very important for living things, including humans. We certainly cannot live on Earth without gravity. Reporting from NASA, the force of gravity keeps the Earth orbiting the Sun so that all living things can enjoy the sun's light from a comfortable distance.
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