To solve this problem, we can apply the principle of conservation of angular momentum. According to this principle, the total angular momentum before the collision should be equal to the total angular momentum after the collision. Therefore, the common final angular speed of the system is approximately 12.42 rev/s.
The angular momentum of a rotating object can be calculated using the formula:
L = Iω
The moment of inertia of a disk can be calculated using the formula:
I = (1/2) × m × r²
Let's calculate the initial and final angular momenta of the system.
For the first disk:
m₁ = 3.5 kg (mass of the first disk)
r₁= 15 cm = 0.15 m (radius of the first disk)
ω₁ = 15 rev/s (angular speed of the first disk)
I₁ = (1/2) ₓ m1 ₓ r₁²
For the second disk:
m₂ = 5 kg (mass of the second disk)
r₂ = 9 cm = 0.09 m (radius of the second disk)
ω₂ = ? (angular speed of the second disk)
I₂ = (1/2) ₓ m2 ₓ r₂²
The initial angular momentum of the system (before the collision) is the sum of the angular momenta of the individual disks:
\(L_{initial}\)= I₁ ₓ ω₁ + I₂ ₓ 0 (since the second disk is initially non-rotating)
The final angular momentum of the system (after the collision) is the sum of the angular momenta of the two disks, assuming they rotate with a common final angular speed ω_final:
\(L_{final}\)= I₂ ₓ ω\(_{final}\) + I₂ₓ ω\(_{final}\)
Since the total angular momentum is conserved, we can equate the initial and final angular momenta:
\(L_{initial}\)= \(L_{final}\)
I₁ ₓ ω₁ = (I₁ + I₂) ₓ ω\(_{final}\)
Substituting the values:
(1/2) × m× r₁² × ω₁ = [(1/2) × m₁ × r₁² + (1/2) × m₂ * r₂²] × ω\(_{final}\)
Simplifying the equation:
m₁ × r₁² × ω₁ = m₁ × r₁² × ω\(_{final}\) + m₂ × r₂² × ω\(_{final}\)
ω\(_{final}\) × [m₁ × r₁² + m₂ × r₂²] = m₁ * r₁² * ω₁
Finally, solving for ω\(_{final}\):
ω\(_{final}\) = (m₁ × r₁² × ω₁) / [m₁ × r₁² + m₂ × r₂²]
Plugging in the values:
ω\(_{final}\) = (3.5 kg × (0.15 m)² × 15 rev/s) / (3.5 kg × (0.15 m)² + 5 kg × (0.09 m)²)
Calculating the result:
ω\(_{final}\) =12.42 rev/s
Therefore, the common final angular speed of the system is approximately 12.42 rev/s.
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Warm air is _____ dense than cold air, and warm air holds _____ moisture than cold air.
Answer:
Warm air is less dense than cold air, and warm air holds more moisture than cold air.
Explanation:
HOPE THIS HELPS AND HAVE A NICE DAY <3
HEY CAN ANYONE PLS HELP ME OUT IN DIS PLS!
Answer:
A) 169.0167
Explanation:
ive done this before
The significant figure rules for addition and subtraction basically has you add or subtract as normal, but the rounding is where the rule kicks in. Specifically you round based on the least accurate decimal portion (the term with the least number of digits to the right of the decimal point).
We do this because we want to make sure we don't involve digits we aren't 100% sure of their accuracy.
==========================================================
Part A
Add up the values like normal
32.567+135.0+1.4567 = 169.0237
Now we look at the decimal portions of each number. We look at the number of digits to the right of each decimal point.
32.567 has three such digits (5,6 and 7)
135.0 only has one digit (the 0)
1.4567 has four digits (4,5,6,7)
The least accurate is 135.0 since we only know this to the tenths place. So we'll be rounding the sum we got above (169.0237) to the nearest tenth
169.0237 rounds to 169.0
Answer before rounding = 169.0237Answer after rounding = 169.0==========================================================
Part B
Add like normal
246.24+238.278+98.3 = 582.818
Then round to one decimal place since this is the fewest number of digits after the decimal point (in the number 98.3)
582.818 rounds to 582.8
Answer before rounding = 582.818Answer after rounding = 582.8==========================================================
Part C
Subtraction is handled in a similar fashion
4.829-0.26 = 4.569
Which rounds to 4.57 since two digits is the smallest number of digits after the decimal point. Put another way, 0.26 is the least of the accurate measurements comparing 4.829 and 0.26; we always go with the least accurate or weakest link when it comes to rounding sig figs. If we went the other way around, then we could be introducing data that isn't really there.
Answer before rounding = 4.569Answer after rounding = 4.57have a conversation with me
Answer:
to live and function. Rememb
Explanation:
Answer:
to live and be social
Explanation:
What is the magnitude of your displacement when you follow directions that tell you to walk 225 m in one direction, make a 90° turn to the left and walk 350 m, then make a 30° turn to the right and walk 125 m?
Start by facing East. Your first displacement is the vector
d₁ = (225 m) i
Turning 90º to the left makes you face North, and walking 350 m in this direction gives the second displacement,
d₂ = (350 m) j
Turning 30º to the right would have you making an angle of 60º North of East, so that walking 125 m gives the third displacement,
d₃ = (125 m) (cos(60º) i + sin(60º) j )
d₃ ≈ (62.5 m) i + (108.25 m) j
The net displacement is
d = d₁ + d₂ + d₃
d ≈ (287.5 m) i + (458.25 m) j
and its magnitude is
|| d || = √[ (287.5 m)² + (458.25 m)² ] ≈ 540.973 m ≈ 541 m
The magnitude of the displacement is 291.08 m
From the given parameters;
initial displacement, x₁ = 225 msecond displacement, x₂ = 350 m at 90⁰ to the leftfinal displacement, x₃ = 125 m at 30⁰ to the rightDisplacement is the shortest distance between the initial position and the final position.
From the image added, the magnitude of the displacement is length PQ.
Apply Pythagoras theorem, t o determine the magnitude of the displacement.
"check the image uploaded"
\((125 + x)^2 = 350^ 2 + 225^2\\\\(125 + x)^2 = 173,125\\\\125 + x = \sqrt{173125} \\\\125 + x = 416.08 \\\\x = 416.08 - 125\\\\x = 291.08 \ m\)
Thus, the magnitude of the displacement is 291.08 m
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what must the charge (sign and magnitude) of a particle of mass 1.46 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 670 n/c ?
To remain stationary in a downward-directed electric field of magnitude 670 N/C, the electric force acting on the charged particle must be equal in magnitude and opposite in direction to the gravitational force acting on the particle.
The gravitational force acting on the particle can be calculated using the formula Fg = mg, where m is the mass of the particle and g is the acceleration due to gravity (9.81 m/s^2).
Fg = mg = (1.46 g)(9.81 m/s^2) = 14.33 × 10^-3 N
The electric force acting on the charged particle can be calculated using the formula Fe = qE, where q is the charge of the particle and E is the electric field strength. Fe = qE = (q)(670 N/C)
To remain stationary, the electric force and gravitational force must be equal and opposite, so we can set them equal to each other and solve for the charge q: Fe = Fg
\((q)(670 N/C) = 14.33 × 10^-3 N\)
\(q = (14.33 × 10^-3 N) / (670 N/C)\)
\(q = 2.14 × 10^-5 C\)
Since the particle is stationary in a downward-directed electric field, the charge must be negative, so the charge of the particle is\(-2.14 × 10^-5 C.\)
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Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are
accurate to 2 significant figures, what is the equivalent resistance between points A and B?
The equivalent resistance between points A and B in the diagram is 22 Ω
How do I determine the equivalent resistance?We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:
Resistor 1 (R₁) = 6 ΩResistor 2 (R₂) = 6 ΩResistor 3 (R₃) = 6 ΩEquivalent resistance (Rₜ) = ?1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃
1/Rₜ = 1/6 + 1/6 + 1/6
1/Rₜ = 3/6
1/Rₜ = 1/2
Rₜ = 2 Ω
Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:
Resistor 1 (R₁) = Resistor 2 (R₂) = ... = Resistor (R₁₁) = 2 ΩEquivalent resistance (R) =?R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁
R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2
R = 22Ω
Thus, we can conclude that the equivalent resistance is 22 Ω
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If so, how far from the castle end of the bridge will the center of gravity of the horse plus rider be when the cable breaks?
The castle end of the bridge the center of gravity of the horse plus rider will be when the cable breaks, The length of the bridge or the distance from the cable attachment point to the castle end.
The center of gravity is the point where the entire weight of the horse plus rider is considered to be concentrated. When the cable breaks, the horse plus rider will be in free fall and subject to the forces of gravity. The position of the center of gravity will depend on the initial position of the horse plus rider, their motion, and any external forces acting on them.
To estimate the distance, we would need to consider the trajectory of the horse plus rider as they fall, taking into account factors such as their initial position, velocity, and the influence of air resistance. However, without specific details, it is not possible to provide a precise answer.
In summary, without additional information about the bridge and the specific circumstances, we cannot determine the exact distance from the castle end of the bridge where the center of gravity of the horse plus rider will be when the cable breaks.
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what is the velocity of a wave that has a frequency of 200 Hz and a wavelength of 0.50 m
Answer:
The velocity of the wave is 100 m/s.
Explanation:
What is viscosity? What is the cause of it in liquids and in gases? Do liquids or
gases have higher dynamic viscosities?
Viscosity is a measure of a fluid's resistance to flow or deformation. It is often described as the thickness or "stickiness" of a fluid. The higher the viscosity, the more difficult it is for a fluid to flow.
The cause of viscosity in liquids and gases is related to the internal friction between molecules within the fluid. In liquids, the molecules are closely packed together and interact with each other through intermolecular forces. As a result, there is a strong resistance to any motion that disrupts these forces. This leads to a relatively high viscosity in liquids.In gases, the molecules are more spread out and interact with each other through collisions. The viscosity of gases is primarily caused by collisions between molecules, which can slow down the flow of the gas. However, the viscosity of gases is generally much lower than that of liquids.In terms of dynamic viscosity (also known as absolute viscosity), liquids generally have higher values than gases. This is because the intermolecular forces in liquids create a greater resistance to flow than the molecular collisions in gases. However, the viscosity of gases can increase significantly with pressure or temperature changes, while the viscosity of liquids is less affected by changes in these factors.for such more question on viscosity
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how do i explain how to draw a stick figure in Microsoft
Simple!
Depending on the subject, if it's Microsoft drawing, say "It's the same way" but if it's with coding, that is a whole other can of worms
simple machines are widely used in our daily life. why?
Answer:
Simple machines are useful because they reduce effort or extend the ability of people to perform tasks beyond their normal capabilities. Simple machines that are widely used include the wheel and axle, pulley, inclined plane, screw, wedge and lever.
Answer:
Simple machines are useful because they reduce effort or extend the ability of people to perform tasks beyond their normal capabilities. Simple machines that are widely used include the wheel and axle, pulley, inclined plane, screw, wedge and lever.
Explanation:
funny answer cuz peeps be lazy
PLEASE HURRY
What does the investigation of Earth's layers reveal about the history of the
formation of our planet?
Answer:
there's a center of the earth..and there is every later of it..just like in a movie...it is true
Answer:
The layers of rock at Earth ’s surface contain evidence of the evolutionary processes undergone by these components of the terrestrial environment during the times at which each layer was formed. By studying this rock record from the very beginning, it is thus possible to trace their development and the resultant changes through time.
If three crests pass Pin in one second, the wavelength is?
The wavelength of the wave as we have it is 3m
What is the wavelength of a wave?A wave's wavelength is the separation between two successive locations on the wave that are in phase, or at the same stage of their cycle. In other terms, it is the separation between two wave crests or troughs.
We know that the wavelength = Number of crests = 3m
Wave speed = 3 m/s
We would then have that;
v = λf
v = wave speed
f = frequency
λ = wavelength
Thus since there are three crests then the wavelength must be 3m
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The coldest clouds in the ISM are molecular clouds, so named because their temperatures are low enough and their densities high enough for atoms to join together into molecules. These clouds are capable of collapsing to form new stars, in a stellar nursery like the one in the left image. The Pleiades (right image) is an example of stars that formed recently within such a nursery.
Molecular clouds range in mass from a few times the mass of our Sun (solar masses) to 10 million solar masses. Individual stars range from 0.08 to about 150 solar masses.
What does all of this imply about how stars form from molecular clouds?
Stars form from molecular clouds through a process known as stellar formation.
These clouds, characterized by low temperatures and high densities, provide the ideal conditions for atoms to combine and form molecules. With a mass range spanning from a few solar masses to millions of solar masses, molecular clouds serve as the birthplaces of new stars. The Pleiades cluster serves as a notable example of stars that have recently formed within such a stellar nursery.
The formation of stars from molecular clouds involves several key steps. Firstly, gravitational forces acting on regions of higher density within the cloud cause them to collapse under their own gravity. As the cloud collapses, it begins to fragment into smaller, denser clumps called protostellar cores. These cores continue to collapse, and their central regions become increasingly dense and hot. At this stage, they are known as protostars.
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Which is a primary energy source used by power plants to generate electricity
A:wind power
B:solar
C:coal
D:hydropower
Answer:
it would be coal
Explanation:
coal is the most used energy source in many countries as of China , India and, the United States
Coal is a primary energy source used by power plants to generate electricity
Electricity generation plants convert the chemical energy of fuel into electricity. Coal, oil, natural gas and nuclear fuels are the energy sources most commonly used for generating electricity.
What is coal ?"Coal is a combustible black or brownish-black sedimentary rock with a high amount of carbon and hydrocarbons. Coal is classified as a nonrenewable energy source because it takes millions of years to form. Coal contains the energy stored by plants that lived hundreds of millions of years ago in swampy forests."
What is electricity?"A fundamental form of energy observable in positive and negative forms that occurs naturally (as in lightning) or is produced (as in a generator) and that is expressed in terms of the movement and interaction of electrons. "
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chemical, potential energy is stored in a battery. the negative end of a battery is connected to a wire. the wire loops numerous times around a piece of steel. the wire returns to the positive end of the battery. what happens to the piece of steel?
Answer:
When the wire loops around the piece of steel, it creates an electromagnet. The magnetic field generated by the electromagnet interacts with the magnetic properties of the steel, causing it to become magnetized. The strength of the magnetic field depends on the number of loops of wire, the amount of current flowing through the wire, and the magnetic properties of the steel. When the battery is disconnected, the magnetic field collapses, and the steel loses its magnetization.
Briefly explain the circumstances in which velocity and acceleration of a car are
a) parallel
b) anti parallel
Explanation:
a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.
b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.
Answer:
a)
There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.
b)
There are 3 cases where velocity and acceleration are antiparallel.
(i) When both are moving in different direction
It means :
Either velocity towards +ve direction and acceleration towards -ve direction.Or, velocity towards -ve direction and acceleration towards +ve direction.It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.
(iii) In case of motion reversal.
Explanation:
How much more energy per photon is there in green light of wavelength 516 nm than in red light of wavelength 610 nm
The energy per photon in green light of wavelength 516 nm is approximately 0.136 eV higher than in red light of wavelength 610 nm.
The energy of a photon can be calculated using the equation E = hc/λ, where E represents the energy, h is the Planck's constant (\(6.626 x 10^-34\) J*s), c is the speed of light (3\(3.00 x 10^8 m/s\)), and λ is the wavelength of light.
To determine the energy difference between green light (516 nm) and red light (610 nm), we can plug in the respective values into the equation.
For green light
E_green = \((6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / (516 x 10^-9 m)\)
E_green ≈\(3.84 x 10^-19 J\)
For red light:
E_red = \((6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / (610 x 10^-9 m)\)
E_red ≈ \(3.27 x 10^-19 J\)
The energy difference can be calculated as:
ΔE = E_green - E_red
ΔE ≈ \(3.84 x 10^-19 J - 3.27 x 10^-19 J\)
ΔE ≈ \(0.57 x 10^-19 J\)
Converting the energy difference to electron volts (eV):
1 eV ≈ \(1.6 x 10^-19 J\)
ΔE ≈ \(0.57 x 10^-19 J * (1 eV / 1.6 x 10^-19 J)\)
ΔE ≈ 0.36 eV
Therefore, the energy per photon in green light (516 nm) is approximately 0.36 eV higher than in red light (610 nm).
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2. could you predict what would happen if you hold the tube horizontally and rotate the bob in a vertical circle? support your answer with calculations.
a graph that illustrates the thresholds for the frequencies as measured by the audiometer is known as a(n) ______.
A graph that illustrates the thresholds for the frequencies as measured by the audiometer is known as an audiogram. The audiogram is a chart used by audiologists and hearing specialists to describe a patient's hearing thresholds.
Hearing thresholds are the levels at which people hear a tone or sound. The horizontal axis of the audiogram indicates the frequency of sound, which is measured in Hertz (Hz), while the vertical axis indicates the intensity of sound, which is measured in decibels (dB). The threshold is the lowest intensity level at which the patient can hear the sound. The audiogram aids in identifying hearing loss and its severity.
Audiogram: The audiogram is a graphical representation of a person's hearing thresholds for different frequencies. An audiogram is a graphical representation of a person's hearing ability. It is created by plotting the lowest intensity at which an individual hears different frequencies on a chart. The audiogram aids in determining the type and degree of hearing loss. The degree of hearing loss can be classified as normal, mild, moderate, severe, or profound, based on the hearing thresholds. The shape of the audiogram may also provide insight into the type of hearing loss. An audiogram can be used to show a patient's hearing loss and to help audiologists recommend the best hearing aid or other hearing assistive technology.
An audiogram is a graph that shows the thresholds for different frequencies of sound as measured by an audiometer. An audiogram is used to assess a person's hearing levels and determine the type and degree of hearing loss. It is a tool used by audiologists and other hearing specialists to diagnose and treat hearing problems.The audiogram is typically created by playing a series of tones or beeps through headphones or earbuds at different frequencies and intensities.
The person undergoing the test indicates when they can hear the sound, and the audiologist records the results on the audiogram chart. The chart typically includes a grid with frequency ranges along the horizontal axis and decibel levels along the vertical axis. The results of the audiogram are plotted on the chart, with the lowest level at which the person can hear a sound for each frequency tested.Audiograms can be used to detect hearing loss and to determine the type and severity of hearing loss. A hearing loss can be categorized as conductive, sensorineural, or mixed, based on the audiogram results.
Conductive hearing loss is caused by damage to the outer or middle ear, while sensorineural hearing loss is caused by damage to the inner ear or auditory nerve. Mixed hearing loss is a combination of both conductive and sensorineural hearing loss.The information gathered from the audiogram can be used to recommend hearing aids or other hearing assistive technology. It can also be used to monitor changes in a person's hearing over time and to adjust treatment plans as needed.
An audiogram is a valuable tool for assessing and managing hearing loss. It provides a comprehensive assessment of a person's hearing ability and can help identify the best course of treatment.
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What is the acceleration of a car with the mass of 1’980 kg if it experiences a net horizontal force of 1’000 N
Answer:
See below
Explanation:
For the, just remember the equation
F = m a
1000 N = 1980 kg * a
1000/1980 = a = .505 m/s^2
How will the electrostatic force be changed if the distance between electric charges is reduced one half of the original distance?
A) more than original force
B) less than original force
C) impossible to determine
D) the same as original force
It is difficult to lift a Large stone but easy to lift a smaller one on the surface of the earth .why ?
Answer:
the weight of the large stone is greater than a small one
Explanation:
because the large stone has greater mass then the small stone.therefore it is difficult to lift the large stone on the surface of the earth but easy to lift the small one
what is the magnitude and direction of magnetic field b1 on the right-hand side of the following wire-1, that carries current i1 of 2.0 a, in upward direction?
The magnetic field due to a current-carrying wire can be calculated by using Biot-Savart's Law, which states that the magnetic field produced at a point due to a current element is directly proportional to the product of the magnitude of the current element.
To find the direction of the magnetic field, we will apply the right-hand thumb rule, which states that if we wrap our right-hand fingers around the wire such that the direction of current is along our fingers and the direction of curl of our fingers gives the direction of the magnetic field,
So, in this case, if we hold the wire such that the thumb points towards the point at which we want to find the magnetic field, then the direction of the fingers will give the direction of the magnetic field.
The formula for calculating the magnetic field due to a current carrying wire is given as;
B = (μ₀ / 4π) * [(i * dl) / r²]
Where;
B = magnetic fieldi = current in the wirerd
L = vector length of the current element
0 = permeability of free space.
μ₀ = 4π × 10⁻⁷ Tm/A
By substituting the given values in the above formula, we can find the magnitude and direction of the magnetic field B1 due to wire 1 as follows:
B1 = (μ₀ / 4π) * [(i1 * L1) / r²]
Where L1 is the length of wire 1, and r is the distance between wire 1 and the point at which we want to find the magnetic field.
According to this rule, the magnetic field due to wire 1 will be clockwise on the right-hand side of the wire. The direction of the magnetic field due to wire 1 can be represented by a circle with a dot in it at the end of the wire.
The magnitude and direction of magnetic field B1 on the right-hand side of wire 1 carrying current i1 of 2.0 A in the upward direction are 5.6 10⁻⁷
T in the clockwise direction.
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How much force is required (in Newtons) to accelerate a 12-kg bicycle, along with its 50-kg rider, at 2 m/s2?
Give your answer as a number.
Answer:
F = 124 N
Explanation:
Given that,
The mass of bicycle and the rider, m = 12 kg + 50 kg = 62 kg
Acceleration of system, a = 2 m/s²
We need to find the force required to accelerate the system. We know that,
Net force, F = ma
Put all the values,
F = 62 kg × 2 m/s²
F = 124 N
So, the required force is equal to 124 N.
what is the BEST example of an external communication?
Social media is the example of an external communication.
What are the external communication?The procedures in charge of communicating with individuals and groups outside of your organization are known as external communications. Customers, companies, suppliers, partners, investors, government organizations, and law enforcement are a few of these.
Email, brochures, newsletters, posters, advertisements, and other types of multi-media marketing are common examples of external communication that are used to entice clients, partners, and suppliers to engage in profitable business dealings.
What are goals of external communication?External communications' main objective is to convey to the public an important message about the organization's efforts and level of excellence. An aspect of communication that organizations cannot directly control is informal external communication.
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a sample of octane burns releasing 2290 j of heat to the surroundings, and the gases produced expands against a piston to do 560 joules of work. calculate the internal energy change for this reaction.
Therefore, this reaction's internal energy change is -2850 J. This indicates a loss of 2850 J in the system's internal energy.
What is a energy in science?The definition defined energy as that of the "power to accomplish work" refers to the capacity to apply a force that moves an object. Kinetic energy and potential energy are the two categories of energy. The quantitative characteristic that is transferred to the a body or into a physical process in physics is energy, which is visible in the performance of labor as well as in form of heat and light. Energy is a resource that is conserved; it can only be changed through one form to another and it cannot be produced or destroyed, according to the law of conservation of energy.
What is the formula of energy and who defined energy?According to the formula E = mc2, a body's mass (m) will vary by an amount equal to E/c2 if its energy increases by an amount E (in any form). This equation was developed by Albert Einstein.
Thomas Young coined the term "energy" for the first time in the realm of physics in 1800, but it didn't catch on. Later, Young utilized interference tests to demonstrate that light is indeed a wave.
The equation: can be used to determine the internal energy change for a reaction.
ΔU = Q - W
where U represents the change in internal energy, Q represents heat added to or released from the system, and W represents work performed by or on the system.
Since it is being released into the environment, the heat contributed to the system in this instance is -2290 J, and the work performed by the system is 560 J. Consequently, the internal energy change can be determined as follows:
ΔU = Q - W
ΔU = -2290 J - 560 J
ΔU = -2850 J
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a patient has a temperature of 38.5 °c. what is the temperature in degrees fahrenheit?
Explanation:
F = 9/5 C +32
9/5 ( 38.5) + 32 = 101.3 F
The patient's temperature (38.5 °) in degrees Fahrenheit is 101.3 °F.
To convert a temperature from degree Celsius to degrees Fahrenheit, you can use the following formula: (Celsius * 9/5) + 32. In this case, the patient's temperature is 38.5 °C.
Applying the formula, we have: (38.5 * 9/5) + 32. Firstly, calculate 38.5 multiplied by 9/5, which is 69.3. Then, add 32 to this value: 69.3 + 32 = 101.3.
Therefore, the patient's temperature in degrees Fahrenheit is 101.3 °F. This conversion allows medical professionals to understand and compare temperatures in different units, ensuring appropriate care for the patient.
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listed following is the same set of fictitious stars given in part a. rank the stars based on how bright each would appear in the sky as seen from jupiter, from brightest to dimmest.
Sure, here are the steps to rank the fictitious stars based on their brightness as seen from Jupiter:
Determine the distance of each star from Jupiter. The closer a star is to Jupiter, the brighter it will appear in the sky.
Use the inverse square law to calculate the relative brightness of each star as seen from Jupiter.
The inverse square law states that the brightness of an object decreases with the square of its distance from the observer.
So, if star A is twice as far away from Jupiter as star B, it will appear four times dimmer than star B.
Rank the stars based on their relative brightness.
The star that appears brightest from Jupiter will be ranked first, while the star that appears dimmest will be ranked last.
Keep in mind that the brightness of a star also depends on its intrinsic brightness, or luminosity.
A star with a higher luminosity will appear brighter than a star with a lower luminosity, even if they are at the same distance from Jupiter.
However, since the set of stars is fictitious and we do not have information about their intrinsic brightness, we cannot take this factor into account in our ranking.
Overall, to rank the fictitious stars based on their brightness as seen from Jupiter, we need to consider their distance from Jupiter and use the inverse square law to calculate their relative brightness.
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A copper water tank of mass 20 kg contains 150 kg of water at 15°C. Calculate the energy needed to heat the water and the tanks to 55°C
The energy needed to heat the water and the copper tank to 55°C is 25,083,080 J.
Q = mCΔT
m = 150 kg (mass of water)
C = 4.18 J/g°C (specific heat capacity of water)
ΔT = 55°C - 15°C = 40°C (change in temperature)
Using the formula, we get:
\(Q_{water}\) = mCΔT
\(Q_{water}\) = (150 kg) x (4.18 J/g°C) x (40°C)
\(Q_{water}\) = 25,080,000 J
m = 20 kg (mass of tank)
C = 0.385 J/g°C (specific heat capacity of copper)
ΔT = 55°C - 15°C = 40°C (change in temperature)
Using the formula, we get:
\(Q_{tank}\) = mCΔT
\(Q_{tank}\) = (20 kg) x (0.385 J/g°C) x (40°C)
\(Q_{tank}\)= 3080 J
Finally, we can add the two energies together to get the total energy needed:
\(Q_{total}\) = \(Q_{water}\) \(+\) \(Q_{tank}\)
\(Q_{total}\) \(= 25,080,000 J + 3080 J\)
\(Q_{total}\) \(= 25,083,080 J\)
Energy is a fundamental concept that refers to the ability of a physical system to do work or cause a change. It is a scalar quantity that is measured in units of joules (J) in the International System of Units (SI). According to the law of conservation of energy, energy cannot be created or destroyed, but it can be transformed from one form to another. This means that the total amount of energy in a closed system remains constant.
Energy is a crucial concept in many areas of physics, including mechanics, thermodynamics, and electromagnetism. Understanding energy is essential for understanding how the physical world works, and it has numerous applications in technology and everyday life, from powering our homes and vehicles to the production of food and the functioning of our bodies.
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