By using information about temperature & salinity of ocean water, oceanographers can determine the Density.
What is salinity?"Salinity" is a term used to describe water that has a lot of dissolved salt in it. It is commonly expressed in g/L or g/kg (grammes of salt per litre or kilogramme of water; the latter unit has no dimensions and equals ).
Along with temperature and pressure, salinity is a thermodynamic state variable that controls the physical properties of water, such as its density and heat capacity.
Salinity also has a significant impact on the chemistry of natural waters and the biological processes that occur there. A contour line with a constant salinity is referred to as isohaline, or isohale on occasion.
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An attack helicopter is equipped with a 20-
mm cannon that fires 197 g shells in the
forward direction with a muzzle speed of
576 m/s. The fully loaded helicopter has a
mass of 3980 kg. A burst of 187 shells is fired
in a 5.01 s interval.
What is the resulting average force on the
helicopter?
Answer in units of N. Answer in units of
N.
The resulting average force on the helicopter is 457,580.8 N.
What is the resulting average force on the helicopter?
The resulting average force on the helicopter is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
m is the total mass of the objecta is the acceleration of the objectF = ( mv / t )
where;
m is the total mass of the helicopterv is the muzzle speed of the cannont is the time of interval in which the shell is firedThe resulting average force on the helicopter is calculated as follows;
F = ( 3980 x 576 ) / ( 5.01 )
F = 457,580.8 N
Thus, the resulting average force on the helicopter is a function of the mass of the helicopter, muzzle speed of the cannon and the time interval in which the shell was fired.
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we have identified the general type of tire and car. what else could we do with the casts of the tire impressions to further narrow down the suspect pool?
Casting can be used to gather any plastic or three dimensional tire or shoe impressions. Casting involves filling the impression with a powdered stone substance, such as tooth stone, that has been diluted with water.
What kind of material works best for creating an impression of shoes and tires?Casting can collect impressions, such as those left by shoes or tire tracks, for laboratory analysis. These kind of casts are often made of dental stone casting material.
What information is contained in tire impressions?Because tire track imprints leave behind a distinctive pattern, they are categorized as pattern evidence. Tire tracks have had the ability to narrow down the brand, style, and size, much like shoe impressions may.
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what are the magnitudes of the angular velocity, the radial acceleration and the tangential acceleration of a spaceship taking a circular turn of raius 3240 km
The angular velocity of a spaceship taking a circular turn of radius 3240 km is equal to the circumference of the circle divided by the time it takes to complete the turn, or 2πr/t.
What is circumference ?
Circumference is the distance around the outside of a circle or other curved shape. It is calculated by taking the diameter of the circle and multiplying it by pi (approximately 3.14).
It is also sometimes referred to as the perimeter of a circle. Circumference is an important measurement in geometry, allowing us to calculate the area of a circle, or the distance between two points on a circle. It can also be used in practical applications such as determining the size of a wheel or the capacity of a container.
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where is q3 located if the net force on q1 is 7.00 n in the −x direction?
Q3 is located in the +x direction from Q1, since the net force on Q1 is 7.00 N in the −x direction.
What is force?Force is an influence that can cause an object to change its motion, direction, shape, or state of rest. It can cause an object to accelerate, slow down, or stop. Forces are measured in units called newtons (N). Examples of forces include gravity, friction, and electromagnetism. Force is a vector, meaning it has both magnitude and direction. It is one of the fundamental concepts of physics and is used to explain the motion of objects.
This means that Q3 must be pulling on Q1 in the +x direction in order to create the net force of 7.00 N. The exact location of Q3 depends on the magnitude of the force it exerts on Q1. If the force of Q3 is 7.00 N, then it is located one unit in the +x direction from Q1. However, if the force of Q3 is greater than 7.00 N, then it must be located further away from Q1 in the +x direction.
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5 c and 8 c charge give off a force of 2. 5 x 109 n. What is the distance between them?
The magnitudes of the two charges, and r is the distance between them. 0.018 m.
What is magnitudes?Magnitude is a measure of the size or strength of something, such as a physical quantity, a physical object, an event, or an occurrence. It is typically expressed as a numerical value, and is often used to compare different values or objects. Magnitude is a relative measure, and is used to compare two or more values, objects, or events.
The distance between the two charges can be calculated using Coulomb's law, which states that the force between two point charges is given by F = k*(q1*q2) / r^2, where k is Coulomb's constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the two charges, and r is the distance between them.
Plugging in the values given, we get:
2.5 x 10^9 = 8.99 x 10^9 * (5 x 10^-6 C * 8 x 10^-6 C) / r^2
Solving for r, we get:
r = sqrt(2.5 x 10^9 / (8.99 x 10^9 * (5 x 10^-6 C * 8 x 10^-6 C))) = 0.018 m
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a 0.25 kg object on the end of a spring moves simple harmonic motion. the spring constant is 200 n/m. the total energy of the system is 6.0 j. determine the amplitude.
A 0.25 kilogram object just on end of the a spring moves in simple harmonic motion with an amplitude of 18.75 cm. 200 n/m is the spring constant.
Why do we use amplitude?Amplitude modulation, or AM, is now utilized for two-way radio communication for aircraft at VHF frequencies and for audio transmission on the long, medium, and short wave bands. Due to the use of superior modulation techniques, it is only used in a very small number of other applications.
Angular velocity ω = 2π / T where T is time period of rotation .
= 2 x 3.14 / .34
= 18.47 rad /s
energy = 1/2 m ω²Α²
6 = .5 x 18.47² x A²
A² = 0.035176
A = .18753
= 18.75cm
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In thermodynamics, each of the system equations (i.e. for mass, energy and entropy transport) relates the change of a property inside the system to the processes crossing the system boundary that are responsible for this change. Which one of the thermodynamic properties (mass, energy or entropy) represented by these system equations is NOT conserved
Entropy is not conserved. Entropy is a measure of the disorder or randomness of a system, and it increases as the system moves away from equilibrium. Entropy is not conserved because it can be created or destroyed within a system, depending on the processes that are occurring.
What is randomness?Randomness is an unpredictable and unstructured phenomenon. It is a lack of pattern or predictability in events. Randomness is often used to describe processes that are unpredictable, and can be used to describe outcomes that appear to have no cause or underlying structure. Randomness is most commonly observed in nature and in quantum mechanics, but it can also be found in many other areas of life such as art, music, and games. Randomness can be used to create interesting and unexpected results, and can be used to explore the complexity of our world.
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In a science museum, a 120 kg brass pendulum bob swings at the end of a 11.4 m -long wire.
The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.7 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010kg/s.
1) At exactly 12:00 noon, how many oscillations will the pendulum have completed?
2) What is its amplitude at noon?
The pendulum will have completed approximately 7,200 oscillations at noon. The amplitude of the pendulum at noon will be approximately 1.7 m.
To find the number of oscillations completed at noon, we can use the formula for the period of a pendulum, T = 2π√(L/g), where L is the length of the wire and g is the acceleration due to gravity. Plugging in the given values, we get
T = 2π√(11.4/9.8) = 2π√(1.16) = 2π(1.07).
Since the pendulum is started at 8:00 a.m. and it is noon, it has been swinging for 4 hours or 14,400 seconds. Dividing 14,400 by the period of the pendulum (2π(1.07)) gives us approximately 7,200 oscillations.
To find the amplitude at noon, we can use the formula for the damping constant,
A = A0e^(-kt),
where A0 is the amplitude of the pendulum at time zero, k is the damping constant, and t is the time passed. Since we know the amplitude of the pendulum at time zero is 1.7 m, and we know the damping constant is 0.010kg/s, we can plug in the values to find the amplitude at noon.
A = 1.7e^(-0.010 * 14,400) = 1.7e^(-144) = 1.7 * 0.01 = 0.017 cm=0.017* 100 = 1.7 m.
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what is the answer for this vector
A quantity or phenomena with independent qualities for both magnitude and direction is called a vector.
What is vector?The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
A scalar is a number or phenomena that solely exhibits magnitude and no discernible direction. Scalars can be speed, mass, electrical resistance, or hard disk storage capacity, for instance.
A vector is commonly depicted by an arrow with an arrowhead for the head and a beginning or tail for the tail.
Therefore, A quantity or phenomena with independent qualities for both magnitude and direction is called a vector.
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a car drives straight down toward the bottom of a valley and up the other side on a road whose bottom has a radius of curvature of 115 m. at the very bottom, the normal force on the driver is twice his weight. at what speed was the car traveling, in m/s?
On a road whose bottom has a radius of curvature of 115 m an automobile travels straight down toward The speed of the car is 33.588 m/s at the very bottom.
What minimum static friction coefficient is required?The coefficient of static friction between the tires and the road needs to be 0.8 for a car to go at 95 km/h around a curve with a radius of 125 m.
What is an automobile carrying 1200 kg's top speed?As a result the acceleration due to gravity or g is approximately 9.81 m/s2 9.81 m/s 2 The equivalent of the frictional speed force is equivalent to the relating to the centripetal force The values in the equation above can be changed so the maximum speed of the vehicle is 22.2 m/s 22.2 m/s.
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Scenario A dump truck is making a very fast left turn as shown. In the back are two blocks of ice, one mass M and one mass m (M > m). The truck does not roll over.
The force for static friction, which itself is defined by the relationship FF, provides the centripetal force again for turn. Give a succinct explanation of why the truck experiences static friction rather than kinetic friction even though it is moving.
What exactly is centripetal force?Any force that induces a shift in velocity in the direction of the circular motion's center is referred to as a centripetal force. The part of the force that produces centripetal force is the part that is orthogonal to the velocity.
What kind of force is centrifugal?The apparent outer force that rotates a mass is known as centrifugal force. Think about the motion you feel as you turn a curve in a car, or imagine a ball being whirled around on a thread. Due to the system's lack of rotation, an inertial frame has no outward acceleration.
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convergent or divergent depending on how they refract light. what is the difference between these two types of lenses
Light flowing through a converging lens is brought to either a point or focus. The light disperses when seen via a divergent lens. Because they both focus light on your retina, they are converging.
What causes light refract?Since light moves through different material at varying rates, refraction—or a shift in the direction that the flow of light—occurs. Except for when i=00, a light ray's orientation changes when it travels from one substance to another due to a change in speed.
How does light refract?When light enters a material with a differing refractive index at an angle, it refracts (optical density). A shift in speed is what led to this direction change. For instance, light slows down when it passes through water from air and continues to move at a new angle or direction.
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The complete question is -
Lenses are described as convergent or divergent depending on how they refract light. What is the difference between these two types of lenses? Based on what you have learned, do you think the cornea and the eye lens act together as a convergent or divergent lens? Explain.
a 10 kg bomb is sliding across an ice rink southward at 6 m/s. it explodes. piece 1 with a mass of 2 kg moves southward at 12 m/s. find the direction and magnitude of the velocity of mass 2.
The direction and magnitude of the velocity of mass 2 is 5.6 m/s southward.
What is velocity?Velocity is a vector quantity that measures the rate of change of an object's position in a particular direction.
The direction and magnitude of the velocity of mass 2 can be determined by using the law of conservation of momentum. According to this law, when a system experiences no external force, the total momentum of the system before the explosion must equal the total momentum of the system after the explosion.
Before the explosion, the total momentum of the system is 10 kg * 6 m/s = 60 kg m/s.
After the explosion, the total momentum of the system is 2 kg * 12 m/s + (10 kg - 2 kg) * V2, where V2 is the velocity of mass 2.
Therefore, the equation for conservation of momentum can be written as:
60 kg m/s = 2 kg * 12 m/s + (10 kg - 2 kg) * V2
Solving for V2, we get V2 = 5.6 m/s.
Therefore, the direction and magnitude of the velocity of mass 2 is 5.6 m/s southward.
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two objects are moving in the same line as shown: they collide and stick together. what fraction of the initial kinetic energy is lost in the collision?
The fraction part of the total initial kinetic energy lost during the collision is 0.96.
What transpires to kinetic energy during impact?The total kinetic energy prior to the impact and the total kinetic energy following the collision are not identical. The kinetic energy is largely transformed into thermal and acoustic energy, among other energy types.
m1 = 300 g => 0.3Kg
m2 = 600 g => 0.6Kg
v1 = 1 m/s.
v2 = 0.75 m/s.
conservation of momentum : m1v1 + m2v2 = (m1+m2)v
=> 0.3x1 - 0.6x0.75 = (0.3+0.6) v
v => - 0.167m/s
KEi => 0.5 m1v1^2 + 0.5 m2 v2^2
=> 0.318J
KEf => 0.5 (m1+m2) v^2
=> 0.0125J
Fraction of initial kinetic energy = KEi - KEf / KEi
=> 0.318-0.0125/ 0.318
=> 0.96
After a collision, does kinetic energy remain constant?The deformation energy is again transformed into kinetic energy following the collision. As a result, in an elastic collision, the kinetic energy before and after the collision are identical.
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Two pieces of clay are moving directly toward each other. When they collide, they stick together and move as one piece. One piece has a mass of 300 grams and is moving to the right at a speed of 1 m/s. The other piece has mass 600 grams and is moving to the left at a speed of 0.75 m/s. What fraction of the total initial kinetic energy is lost during the collision?
fabian is organizing textbooks on his bookshelf. he has a spanish textbook, a biology textbook, a physics textbook, and a writing textbook. how many different ways can he line the textbooks up on his bookshelf?
There are 7 different ways can he line the textbooks up on his bookshelf.
What is physics ?
Physics is the branch of science that investigates how matter is put together and how the fundamental components of the universe interact. It studies everything from really small particles to the entire cosmos by using general relativity and quantum mechanics.
What is textbook?
A textbook is a book that gathers all the knowledge that exists about a subject with the intention of explaining it. In general, textbooks are produced in educational institutions to meet the needs of teachers. The term "schoolbooks" is used to describe textbooks and other books.
Therefore, 7 different ways can he line the textbooks up on his bookshelf.
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Answer:
24
Explanation:
4x3x2x1
12x2x1
24
At one instant an object in free fall is moving upward at 50 meters per second. One second later its speed is about:
a. 100 m/s
b. 60 m/s
c. 55 m/s
d. 50 m/s
e. 40 m/s.
After one second the speed of the object will be by newtons law of motion will be 40 m/s.
Which of Newton's three laws of motion apply?The first law states that an object's motion will not change until a force acts on it. According to the second law, the force of an object is determined by dividing its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.
What's the name of Newton's second law?We must apply Newton's second law, the law of acceleration (acceleration = force/mass), to comprehend this. Newton's second law states that an object's acceleration is directly related to the net force and inversely proportional to its mass.
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After a long day of driving you take a late-night swim in a motel swimming pool. When you go to your room, you realize that you have lost your room key in the pool. You borrow a powerful flashlight and walk around the pool, shining the light into it. The light shines on the key, which is lying on the bottom of the pool, when the flashlight is held 1.2 m above the water surface and is directed at the surface a horizontal distance of 1.5 m from the edge (Figure 1).
The distance at which key present at the bottom of pool was determined with help of light flash is 4.36m.
What occurs when light reaches the water's surface?Some light that is reflected off of water when light that is going through the air collides with it. The ray of light enters the water and travels through it, but it bends (or refracts) as it does so. When light hits glass or any other transparent substance, the same thing occurs.
i = angle of incident light
tan i = 1.5/1.2 => 5/4
sin i = 5/ sqrt(41)
sin r = 5x3/4x sqrt(41)
tan r = x/4 = 15/sqrt(41)
x=> 2.86m
x=> 1.5 + 2.86 => 4.36m
How do lights work?
Light is electromagnetic radiation that the human eye can experience. From radio waves with wavelengths estimated in metres to gamma rays with wavelengths lesser than around 1 1011 metres, electromagnetic radiation occurs across a very broad range of wavelengths.
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the condition ∑ fi = 0 is sufficient to assure that a rigid body is in equilibrium. T/F
The statement "The condition ∑ fi = 0 is sufficient to assure that a rigid body is in equilibrium." is False.
What is the condition of translational equilibrium?The condition that the vector sum of all forces acting on a rigid body is zero (∑ fi = 0) is necessary but not sufficient to assure that a rigid body is in equilibrium. This condition is known as the condition of translational equilibrium. A rigid body can be in a state of translational equilibrium, but still be rotating or accelerating.
To assure that a rigid body is in equilibrium, we need to satisfy both the condition of translational equilibrium and the condition of rotational equilibrium which means that the net torque acting on the body is zero.
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Cosmic Connection Definition
Cosmic connections are those individuals who come into our lives to assist us develop and grow. Everything is united, so there is nothing of the sort as a possible gathering. The characters in our world are not thereby some coincidence, but the reason is the vital cosmic connection.
Cosmic connections are people who come into our lives to help us grow and develop spiritually.
What is Cosmic connections?Cosmic Connections is a philosophy exploring the interconnectedness of all living things and the universe. It encourages us to see ourselves as part of a larger cosmic family, recognizing our relationships with the Earth, the stars, and the galaxies.
This interconnection is based on the concept that everything in the universe is connected and can affect each other, and that our lives are not just the result of random chance. These special people help us to develop spiritually and can be seen as guides on our journey. They may come in the form of friends, mentors, teachers, or even strangers. Ultimately, these cosmic connections are here to help us to become the best versions of ourselves.
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what is the energy of a 679 nm photon emitted from a light source? answer in units of j. answer in units of j.
The energy of a 679 nm photon emitted from a light source is 1.76*10^5 J.
What does "photon energy" mean?A photon is a tiny energy packet of electromagnetic radiation, also referred to as a light quantum. Albert Einstein's account of the photoelectric effect, in which he proposed the existence of discrete energy packets during the transmission of light, gave rise to the concept of the photon in 1905.
What does photon energy mean?The electron-volt (eV), rather than the joule, is a commonly used unit of energy when discussing "particles" like photons or electrons (J). A photon with an energy of 1 eV = 1.602* 10^-19 J is the energy needed to elevate an electron through 1 volt.
E =hν
E = h*c/λ
h = 6.626*10^-34 J.s
c = 3*10^8 m/s
λ = 679*10^-9 m
1 mol photons = 6.023 x 10^23 photon
Energy of one photon [tex]E=\frac{6.626*10^-34*3*10^8}{679*10^-9}[/tex]
[tex]E=\frac{6.023*10^23*6.626*10^-34*3*10^8}{679*10^-9}[/tex]
[tex]E=1.76*10^5J[/tex]
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a 2 in. raceway is to be installed in a pull box for a straight pull; conductors are 4 awg or larger. what is the minimum length of the pull box as required by the nec
Straight pushes necessitate the use of 16 in. Raceway with conductors that are 4 awg or required.
What does need require mean?The primary distinction between a need and a requirement is that a need pertains to the aims and objectives that a business must accomplish, whilst a requirement refers to the actions we must do to fulfill a need. The terms "need" and "requirement" are occasionally used interchangeably.
How do you properly form a sentence?A subject, a verb, and a complete thought are necessary components of well-written, complete sentences. An entire statement must make sense by itself. Complete sentences are occasionally referred to as independent clauses. A clause is a collection of words that could be used to form a sentence.
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Mrs. Young has a mass of 50.5 kg. Her computer has a mass of 2.3 kg. The separation between Mrs. Young and her computer is 0.75 meters.
How much gravitational force does Mrs. Young exert on her computer?
The gravitational force Mrs. Young exerts on her computer is approximately 0.0044 Newtons.
What is computer ?
Computer is an electronic device that is used to process data, store information, and perform various operations such as calculations, communications, and data processing. It is composed of a combination of hardware and software components that enable it to store, retrieve, and manipulate data.
Computer technology has revolutionized the way we communicate, work, and live. It has opened up new possibilities for businesses, education, and entertainment. Computers have become an essential part of our lives, and their use is only expected to grow in the future.
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What is significant about the temperature -40%
It's the temperature at which Fahrenheit and Celsius thermometers read the same exists significant about the temperature -40
What is the significance of temperature?
One of the most pervasive and significant physical elements in an organism's environment is temperature. It is a gauge for the typical speed of atoms and molecules moving at random; the higher the temperature, the faster the motion.
Because temperature affects the physical state of water, it has the greatest impact on how organisms are distributed. Most organisms cannot survive in environments where the temperature is consistently below 0°C or above 45°C.
Since there are 100 units between the freezing (0°C) and boiling (100°C) points of water, the Celsius scale is a centigrade scale. The majority of the world uses this temperature scale, which is also the recognized unit of measurement in science.
It's the temperature at which Fahrenheit and Celsius thermometers read the same exists significant about the temperature -40°.
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a wave wirh a period of 50 seconds is generated and the wave length is 2m calculate the speed
Answer:
0.04 m / s
Explanation:
distance over time will get you your speed
a block has an acceleration a when pulled by a string. if two blocks are glued together and pulled with twice the original force ,their acceleration will be
two blocks are glued together and pulled with twice the original force ,their acceleration will be
When a block is being dragged by a string the acceleration won't change.
When a block is being dragged by a string, it accelerates. Two identical blocks will accelerate if they are cemented together and dragged with two times the initial amount of force. As a result, even if the mass and force are both doubled, the acceleration won't change. According to the Second Law of Newton, if a force F is applied to a mass m object, the acceleration will be given by the formula a = F/m. Two identical blocks will have a mass of 2m if they are cemented together. The acceleration will be 2F/2m = F/m = a with a force of F.
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a hot water heater is operated by solar power. if the solar collector has an area of 6.0 m2, and the power delivered by sunlight is 550 w/m2, how long will it take to increase the temperature of 1.0 m3 of water from 20oc to 60oc?
It will take 762.1 hours to increase the temperature of 1.0 m3 of water from 20°C to 60°C using a solar collector with an area of 6.0 m2 and a power output of 550 W/m2.
What is area?
Area is a measure of the size of a two-dimensional shape, such as a square, rectangle, triangle, or circle. It is the amount of two-dimensional space occupied by a shape and is measured in square units.
Assuming the water has a specific heat capacity of 4.2 kJ/kg°C and a density of 1000 kg/m3, the energy needed to heat the water is:
Mass times Specific Heat Capacity times Change in Temperature equals energy.
Energy = 1.0 m3 x 1000 kg/m3 x 4.2 kJ/kg°C x (60°C - 20°C)
Energy = 2,520,000 kJ
The power delivered by the solar collector is 550 W/m2 x 6.0 m2 = 3,300 W.
The time required to heat the water is the energy required to heat the water divided by the power delivered by the solar collector:
Time = 2,520,000 kJ / 3,300 W = 762.1 hours
Therefore,it will take 762.1 hours to increase the temperature of 1.0 m3 of water from 20°C to 60°C using a solar collector with an area of 6.0 m2 and a power output of 550 W/m2.
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move the slider on the electromagnetic spectrum to several higher frequencies, towards the uv region. what changes, if any, occur?
Two forms of electromagnetic radiation that emanate from radio stations are included in the electromagnetic EM spectrum.
What transpires to an em phenomena at higher frequencies?Frequency is the number of full wavelengths in a certain amount of time. A wavelength's frequency and energy drop as it gets bigger. You may conclude from these equations that the wavelengths gets shorter as the frequency rises. The wavelength lengthens as the frequency drops.
What kinds of transitions occur in the various electromagnetic spectrum regions?If molecules are undergoing rotational transition, translational transitions, or electronic changes, the electromagnetic spectrum clearly identifies them. The ability to read a molecule or collection of molecules
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the relative enrichment in what isotope in venus' atmosphere is evidence of a significant loss of water over time?
The isotope that is relatively enriched in Venus' atmosphere is deuterium, or hydrogen-2.
This is evidence of a significant loss of water over time, as deuterium is heavier than regular hydrogen, and therefore it would be more likely to be lost to space than lighter hydrogen atoms.
What is deuterium?
Deuterium is an isotope of hydrogen with a nucleus that contains one proton and one neutron.
It is also known as heavy hydrogen or hydrogen-2, and is twice as heavy as the more common protium isotope of hydrogen.
Deuterium is used in nuclear reactors and is also a key component in heavy water, which is used in some types of nuclear reactors.
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What does the standard deviation of a set of data tell you?
A.The number of experiments that were performed
B.How many data points there are in the set
C.The largest and smallest data values of the set
D.How much each data point differs, on average, from the mean value of the set
Answer:
D. How much each data point differs, on average, from the mean value of the set
Explanation:
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
if the spring stretches 0.300 m while supporting an 8.2 kg child, what is its spring constant (in n/m)?
The spring constant is 27.333 N/m
The spring constant (k) can be found using Hooke's Law, which states that the force needed to stretch or compress a spring is directly proportional to the distance the spring is stretched or compressed. The proportionality constant is called the spring constant.
The equation for Hooke's Law is:
F = kx
Where F is the force applied to the spring, x is the distance the spring is stretched or compressed, and k is the spring constant.
In this case, the force applied to the spring is the weight of the child (8.2 kg) multiplied by the acceleration due to gravity (9.8 m/s^2)
F=8.2 kg * 9.8 m/s^2
and the distance the spring is stretched is given as 0.3m
Therefore, we can find the spring constant by rearranging the equation:
k = F/x
k = (8.2 kg * 9.8 m/s^2) / 0.3 m
k = 27.333 N/m (Newton per meter)
Therefore the spring constant is 27.333 N/m
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