From the top of a tall cliff of height y, a soccer ball is kicked horizontally so that it leaves the cliff with a velocity v. Assuming air friction is negligible, the speed of the ball just before it hits the ground is:
Answers
Answer:
[tex]\sqrt{v^{2} + 2\, g\, y}[/tex].
Explanation:
Apply the SUVAT equation [tex]{v_{1}}^{2} - {v_{0}}^{2} = 2\, a\, x[/tex] to the vertical component of the soccer ball's motion to find the vertical velocity right before the ball lands. In this equation:
[tex]v_{1}[/tex] represents the vertical velocity of the ball right before it lands (needs to be found);[tex]v_{0}[/tex] represents the initial vertical velocity of the soccer ball ([tex]0[/tex] in this question since the ball was initially travelling horizontally); [tex]a[/tex] represents the acceleration (equal to [tex]g[/tex] since air friction is negligible);[tex]x[/tex] represents the vertical displacement of this ball (in this question, this vertical displacement is equal [tex]y[/tex], the height of the cliff.)Rearrange this equation to find an expression for the vertical velocity [tex]v_{1}[/tex] in terms of [tex]y[/tex] and [tex]g[/tex]:
[tex]\begin{aligned}v_{1} &= \sqrt{{v_{0}}^{2} + 2\, a\, x} \\ &= \sqrt{2\, g\, y}\end{aligned}[/tex].
Since air friction is negligible, the horizontal velocity of the ball would stay unchanged. Thus, the horizontal velocity of the ball would still be [tex]v[/tex] right before the ball lands.
Notice that these two components of velocity are perpendicular to one another. Thus, find the combined velocity of the ball right before landing could be found using Pythagorean's Theorem:
[tex]\sqrt{v^{2} + {v_{1}}^{2}} = \sqrt{v^{2} + 2\, g\, y}[/tex].
Related Questions
Calculate the range of wavelengths that are received by the radio in a car. Suppose that the range of frequencies of FM radio is 88.0 MHz to 108 MHz.
Answers
The range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.
To find the range of wavelengths, we use the equation for the speed of a wave
Speed of a waveThe speed of a wave v = fλ where
f = frequency and λ = wavelengthWhat is Wavelength?This is the distance a wave travels in one cycle of the wave.
Making λ subject of the formula, we have
λ = v/f
Given that the range of frequencies of FM radio is 88.0 MHz to 108 MHz and
v = speed of electromagnetic wave = 3 × 10⁸ m/s, f' = lowest frequency = 88.0 MHz = 88.0 × 10⁶ Hz and f" = highest frequency = 108 MHz = 108 × 10⁶ HzThe longest wavelength, λ'λ' = v/f'
= 3 × 10⁸ m/s ÷ 88.0 × 10⁶ Hz
= 0.0341 × 10² m
= 3.41 m
The shortest wavelength, λ"λ" = v/f"
= 3 × 10⁸ m/s ÷ 108 × 10⁶ Hz
= 0.0278 × 10² m
= 2.78 m
So, the range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.
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A solid weighs weighs 20g in air,a8.2g in a liquid and 18g in water. Calculate
i. Relative density of the body
ii. Relative density of the liquid
iii. Density of the liquid
Answers
Answer:
Weight of the body in air = 20gf ( Wa)
Weight of the body in water = 18gf ( Ws)
Weight of the body in liquid =18.2gf ( Wl)
Now,
The loss of weight in the water = 20 - 18 or, 2 gf
So the relative density of the body is = Wa / ( wa - ws )
= 20 / 2
= 10
2) The weight loss in liquid = 20 - 18.2 or, 1.8 gf
So the relative density of the liquid is =( Wa - Wl ) / ( Wa - Ws )
= 1.8 / 2
= 0.9
Explanation:
i need help, please. ASAP!!!!
Answers
Answer: A
Explanation:
Work is defined as the inner product between the force vector and the distance traveled. Due to the energy-work theorem, the total work done is equal to the change in kinetic energy. But since there is friction, we must also take into account that frictional force. The frictional force opposes the motion of the object, and will take away energy from the object in the form of heat. Therefore, we must subtract the amount of energy done by friction from the total kinetic energy.
For your case, the answer would be A. Although, that is technically incorrect. The car does not gain energy due to friction.
What is the moons gravity
Answers
Answer:
The moons gravity is 1.62 m/s²
What happens when light waves strike a mirror? question 5 options: most of the light waves are refracted. most of the light waves are absorbed. most of the light waves are scattered. most of the light waves are reflected.
Answers
Answer: "Most of the light waves are reflected", might be the correct answer.
Explanation: it might be the correct answer because the light waves spread out from the source in all directions, and upon striking a mirror, are reflected at an angle determined by the angle at which the light arrives. The reflection process inverts each wave back-to-front, which is why a reverse image is observed.
Answer:
most light waves are reflected
explanation:
when light hits a mirror it bounces back at the same angle it hit this is called reflection refraction on the other hand Refraction is the bending of light
Image result for what is refraction of light
Refraction is the bending of light
In outer space, a piece of rock continues moving at the same velocity for
thousands of years. What makes this possible?
Answers
The absence of external force in the outer space, allows the piece of rock to continue moving at the same velocity for thousands of years.
Absence of external force on the outer spaceThe outer space is almost an absolute vacuum, because it's nearly empty. There is no matter such as air in the outer space that will provide an external force needed to change the velocity of the piece of rock.
From Newton's first law of motion, an object in a state of rest or uniform motion in a straight line, will continue in that state unless it is acted upon by an external force.
Thus, the absence of external force in the outer space, allows the piece of rock to continue moving at the same velocity for thousands of years.
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Answer:
inertia
Explanation:
A student watches the tide change, and sees water waves pass the end of the dock
that follow the pattern shown below:
13)
The student counts the waves with a stopwatch, and determines that it takes 8.75
seconds for a single wave to go by. The wave frequency is ----
Answers
The frequency of the wave at the given period is 0.114 Hz. This frequency shows the number of revolution of the wave in a second.
What is frequency of a wave?The frequency of a wave is the number of revolutions of the wave per second.
Frequency of a wave is determined by taking the inverse of period of the wave.
The frequency of the wave at the given period is calculated as follows;
f = 1/T
Where;
f is the frequencyT is period of the wavef = 1/8.75
f = 0.114 Hz
Thus, the frequency of the wave at the given period is 0.114 Hz.
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If c is a positive real number and ak=klnc, for what values of c, if any, does the infinite series ∑k=1[infinity]ak converge?
Answers
There is no value of c such that the infinite series converges.
How to analyze the converge of an infinite series
Convergence is a characteristic of infinite series, in which a sum tends to be a given number when n tends to +∞.
In this question we must prove for which values of c the infinite series may converge.
There are different criteria to prove whether a given series converges or not, one of the most used criteria is the ratio criterion, which states that:
[tex]r = \frac{a_{k+1}}{a_{k}}[/tex], where the series converges if and only if r > 1. (1)
If we know that [tex]a_{k} = k\cdot \ln c[/tex], then the rational formula is:
[tex]r = \frac{(k+1)\cdot \ln c}{k\cdot \ln c}[/tex]
[tex]r = 1 + \frac{1}{k}[/tex]
We notice that resulting expression does not depend on c and is greater than 1. Therefore, there is no value of c such that the infinite series converges. [tex]\blacksquare[/tex]
RemarkIf [tex]c[/tex] is a positive real number and [tex]a_{k} = k\cdot \ln c[/tex], for what values of [tex]c[/tex], if any, does the infinite series [tex]\sum_{k=1}^{\infty} a_{k}[/tex] converge?
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There is no values of c, for the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.
What do you mean by infinite series?The infinite series is the sum of addition of a sequence in which the number of terms present are infinite.
[tex]a_1+a_2+a_3....+a_n[/tex]
Here, ([tex]a_n[/tex]) is the nth term of the sequence. For infinite series, the ratio criterion can be given as,
[tex]r=\dfrac{a_{k+1}}{a_k}[/tex]
If c is a positive real number and
[tex]a_k=k\ln c[/tex]
Put the value in above shown ratio,
[tex]r=\dfrac{(k+1)\ln c}{k\ln c}\\r=\dfrac{k\ln c}{k\ln c}+\dfrac{\ln c}{k\ln c}\\r=1+\dfrac{1}{k}[/tex]
With the value of r, we can say whether the series is converge or not. This value of r does not depends on c.
Thus, there is no values of c, for the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.
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In order to compare the two thermal conductivities ,a scientist pours hot water into two beakers .
The two different insulators are wrapped around the beakers . The scientist records the intial temperatures of the hot water
State two further measurements he scientist should make
( if you don’t know please don’t reply )
Answers
Answer:
Time domain and frequency domain
2. Describe asteroids and their orbits in the solar system.
Answers
Asteroids, often known as minor planets, are stony, airless leftovers of our solar system's early development about 4.6 billion years ago.
The majority of this ancient space junk may be found in the main asteroid belt, orbiting the Sun between Mars and Jupiter. Asteroids range in size from Vesta, the largest at 329 miles (530 kilometers) in diameter, to asteroids as small as 33 feet (10 meters). The cumulative mass of all asteroids is less than that of the Earth's Moon.
Use the electron arrangement interactive to complete the table
Answers
The number of electrons that is needed to fill the following sublevels are:
1s = 2 electrons. 2s = 2 electrons. 2p = 6 electrons. 3s = 2 electrons. What is the number of electrons needed to complete the table?The formula to find this out is:
= 2 x (2 x Level +1)
1s = 0 levels
Number of electrons:
= 2 x (2 x 0 + 1)
= 2 electrons
2s = 0 levels
= 2 x (2 x 0 + 1)
= 2 electrons
2p = 1 level
= 2 x (2 x 1 + 1)
= 6 electrons
3s = 0 levels
= 2 x (2 x 0 + 1)
= 2 electrons
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The completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.
What is electron arrangement?The electron arrangement is the way or process to arrange the electrons in an atom. The number of electron needed per sublevel are expressed in following points.
The number of electron need to feel sublevel 1s is 2.The number of electron need to feel sublevel 2s is 2.The number of electron need to feel sublevel 2p is 6.The number of electron need to feel sublevel 3s is 2.The image of the table which fill the sublevel is attached below. In this table all the electron is fulfilled with needed electrons.
Thus, the completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.
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An empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin. What is the speed of the coal car afterward?
Answers
Answer:
3 m/s
Explanation:
Initial = Final
Mass * Velocity = Mass *Velocity
8000kg * 12m/s = (8000kg+ 24000kg) * (Final Velocity)
(96000 kgm/s) / (32000kg) = (Final Velocity)
Final Velocity = 3 m/s
The speed of the coal car afterward is 3 m/s if an empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin.
What is the law of conservation of momentum?The momentum of the body before the contact is always equal to the momentum of the body after the collision, according to the law of conservation of momentum.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
We have:
Mass of the empty coal car of train M(e) = 8000 kg
Speed V(e) = 12 m/s
Mass of the coal M(c) = 24000 kg
Let's suppose the speed of the coal car afterward V(c)
M(e) ×V(e) = (M(c)+M(e))× V(c)
8000×12 = (24000+8000)×V(c)
V(c) = 3 m/s
Thus, the speed of the coal car afterward is 3 m/s if an empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin.
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Your friend left their science project off until the "night before" and now they are frantic to build a home made weather station that can measure relative humidity. They build the standard two – thermometer setup but their water had just been shut off and so they use salad oil on the wet bulb thermometer. Please describe how well their instrument will work and the physics behind your answer.
Answers
The usage of the wet bulb thermometer is important to measure the relative humidity or the air.
How to explain the temperature?It should be noted that air can be saturated with different amount of water vapors according to its temperature.
The percentage of water vapor with the amount of water at the temperature is the relative humidity. Based on the question, the salad oil is important rather than using water since oil doesn't evaporate.
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What is the Earth’s atmosphere composed of, and why is it important?
Answers
Answer:
i hope this helps you have a good day i hope you get an 100% on you quiz!
Explanation:
The atmosphere is a mixture of nitrogen (78%), oxygen (21%), and other gases (1%) that surrounds Earth. High above the planet, the atmosphere becomes thinner until it gradually reaches space. The atmosphere is an important part of what makes Earth livable.
Prelab exercise 1. Why is it important for your measurements that the track is level?
Answers
It is very important for your measurements that the track is level because unlevel track change the acceleration of an object.
Why track's level is important?A non-level track leads to bring change in the acceleration of an object which leads to different value of experiment.
So we can conclude that it is important for your measurements that the track is level because unlevel track change the acceleration of an object.
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The track must be level for your measurements because an unlevel track changes the acceleration of an object.
What is measurement?It is defined as the numerical quantity that gives an idea about object length, width, and many more. It can be used to compare two objects.
The non-level track causes changes in an object's acceleration, resulting in various experiment values.
As a result, we can deduce that now the levelness of the track is critical for your measurements, as an uneven track changes an entity's acceleration.
Thus, the track must be level for your measurements because an unlevel track changes the acceleration of an object.
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2. What is the difference between electric potential energy and gravitational potential energy? Name one
example of an object having one type of potential energy but not the other.
Answers
Stretching a rubber band or spring, punching a non elastic ball, binding a cracker with string. In this the energy is stored in the objects after applying force on them and when released it is converted to other forms of energy like kinatic energy, chemical energy or sound
Gravitational potential energy is the energy stored in the object when work is done or applied in opposition with the gravitational force acting on it. e. g. water stored in dam, ball thrown in air or an elevator going up.
Obviously gravitational potential energy is the subset of all potential energies stored in the body..
Gravitational potential energy is an energy acquired by an object due to a change in its height when it is present in a gravitational field. It is denoted by P or U. and it its expressed in joule. Gravitational potential energy is given by U = mgh where m is the mass of the object, g is acceleration due to gravity and h is the height.
when we take an object of mass m to a certain height in the field of gravitation, we can say that body has potential energy and we release that body from that height, it falls.
Electric potential energy is the energy that is needed to move a charge against the electric field.
Electric Potential Energy is given by,
[tex]U_E = k \frac{q_1q_2}{r}[/tex] where k is dielectric constant, q is charge r is the distance.
Electric Potential Energy is the potential energy stored against electric field. it exist around the charged particle.
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50 points
lab report guide (4).docx What do the results tell you about your hypothesis(es)? Results will tell you which hypothesis is true How do the data support your claim above?
Answers
Answer: Put simply, a hypothesis is a specific, testable prediction. More specifically, it describes in concrete terms what you expect will happen in a certain circumstance. A hypothesis is used to determine the relationship between two variables, which are the two things that are being tested.
Explanation:
The work done in moving a block across a rough surface and the heat energy gained by the block can both be measured in ...
Answers
The work done in moving a block across a rough surface and the heat energy gained by the block can both be measured in Joules.
What are Joules?Joules is a unit of measurement used in physics that indicates the force exerted on a particular object.
A Joule is a work when a force that equals one (1) newton moves an object one (1) meter in a given direction.
Joules is the most widely extended unit of force and energy in physics and related disciplines.
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The energy for _____ transport comes from the gradient itself
Answers
Answer:
the anwser is atp
Explanation:
To move substances against a concentration or an electrochemical gradient the cell must use energy. This energy is harvested from ATP that is generated through cellular metabolism. Active transport mechanisms, collectively called pumps or carrier proteins work against electrochemical gradients.
The energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.
What is passive transport?The passive transport is the shifting or transfer of a solute from a place where the electrochemical potential is high to a place where the electrochemical potential is low.
Energy require for passive transport-
Compound moves free from high electrochemical potential to low in memberne.Due to free movement, there in no energy required in passive transport.Thus, the energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.
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What happens to force if you decrease the charge on one of two charges?
Answers
Answer:
This repulsion would be reduced to one-quarter of its former value.
Explanation:
hope this helps. (MARK ME BRAINLIEST, please.)
What is Al's hypothesis?
options:
If I freeze fresh water and salt water then the salt water will freeze more quickly because salt increases the freezing point temperature.
If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature
If I freeze fresh water and salt water then both will freeze at the same time because salt doesn't affect the freezing time.
If I freeze cool aid and water then the water will freeze more quickly because cool aid increases the freezing point temperature.
Answers
Answer:
This is your answer
If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature
Explanation:
I hope it helped you
A garbage can of mass 12 kg standing on horizontal ground is pushed by a horizontal force of 40N. If the coefficient of static friction is 0. 32 and the coefficient of dynamic or
kinetic friction is 0. 24 between the can and ground, the acceleration of the garbage can is
____ m/s2
Answers
The acceleration of the garbage can is 2.55 m/s².
What is acceleration?Acceleration is the rate of change of velocity with respect to time.
To calculate the acceleration of the can, we use the formula below
Formula:
ma = F-mg(η-μ)............ Equation 1Where:
F = Horizontal forcem = mass of the cang = acceleration due to gravitya = acceleration of the canμ = Coefficient of static frictionη = Coefficient of kinetic frictionMake a the subject of the equation
a = [F-mg(η-μ)]/m.................. Equation 2From the question,
Given:
F = 40 Nm = 12 kgg = 9.8 m/s²μ = 0.32η = 0.24Substitute these values into equation 2
a = [40-12×9.8(0.32-0.24)]/12a = (40-9.408)/12a = 30.592/12a = 2.55 m/s²Hence, the acceleration of the garbage can is 2.55 m/s².
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An object is in simple harmonic motion of the following quantities related to the object, which set of three can have maximum
magnitudes at the same instant of time?
i. displacement
ii. velocity
iii. acceleration
iv. kinetic energy
v. potential energy
Answers
Answer:
displacement, acceleration, potential energy
Explanation:
pretty sure this is correct but dont hold me to it.
The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.
What is simple harmonic motion?Simple harmonic motion is periodic motion caused by a restoring force that is proportionate to the deviation from equilibrium.
Simple harmonic motion is periodic motion but many other conditions are dependent.
The object is in simple harmonic motion of the following quantities related to the object.
The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.
Hence the set of three quantities is the options i, iii,v.
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The electric field is measured for points at distances r from the center of a uniformly charged insulating sphere that has volume charge densi
Answers
For the electric field is measured for points at distances r,Electric field is mathematically given as
E=19.9*10^{-5}c/m^3
What is the Electric field?Generally, the equation for the electric field uniform charged is mathematically given as
[tex]E=\frac{lr}{3e0}[/tex]
Therefore
E=lr/3E0=3Ee0/r
Therefore
E=3*6*10^4*8.85*10^{-12}
E=19.9*10^{-5}c/m^3
In conclusion, E=19.9*10^{-5}c/m^3
E=19.9*10^{-5}c/m^3
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CQ
Complete question attached below
The field found in this problem for a moving charge is the same as the field from a current element of length dl carrying current i provided that the quantity qv is replaced by which quantity?
Answers
The magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.
Magnetic force on charged particleThe magnetic force on a charged particle is determined from the product of the magnetic field strength (B), speed of the charge (v) and magnitude of the charge (q).
The magnitude of the force is caculated using the following formula;
F = qvB
Magnetic force on a current carrying elementThe magnitude of the force is calculated using the following formula,
F = BILsinθ
when the angle of inclination = 90 degreesF = BIL
Where;
B is the magnetic field strengthI is currentL is length of the wireAt equal magnetic force, the magnetic field can be calculated as follows;
B = F/qv = F/IL
Thus, the magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.
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The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".
What is a magnetic field?It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.
The magnetic force on the charged particle is found as;
[tex]\rm F = qvB[/tex]
The magnetic force on the current-carrying wire is found as;
[tex]\rm F = BIL sin \theta[/tex]
When the angle of inclination is at a right angle;
[tex]\rm F= BIL[/tex]
The magnetic field is;
[tex]\rm B = \frac{F}{qv} \\\\ B= \frac{F }{IL}[/tex]
The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".
Hence the quantity qv is replaced by "IL".
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Create your own simple metaphor illustrating how demand and supply work together to create equilibrium. Label the following on your metaphor: quantity demanded, quantity supplied, equilibrium point
Answers
''When the quantity demanded intersect with quantity supplied, it leads o the formation of equilibrium point.''
How equilibrium occur?The equilibrium price and equilibrium quantity occur where the supply and demand curves cross with each other. The equilibrium occurs when the quantity demanded is equal to the quantity supplied.
So we can conclude that when the quantity demanded intersect with quantity supplied, it leads o the formation of equilibrium point.
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Equilibrium is the condition when the supply of any goods meets the demands completely. The point at which the graph intersects is the equilibrium price.
What is Equilibrium?Equilibrium is the condition when the supply of any goods meets the demands completely. Therefore, no extra goods are left.
Equilibrium is the condition when the supply and the demand line cross each other on a price and quantity graph as shown below. The point at which the graph intersects is the equilibrium price.
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A plot of the maxwell distribution for the same gas against temperature shows that.
Answers
Air in a piston cylinder assembly undergoes a process from state 1 where t1=300k
Answers
For a process where T1 = 300K, P1 = 100 kPa, and where T2 = 500K, P2 = 650 kPa, the change in entropy is mathematically given as
S1-S2=-0.0288KJ/Kgk
What is the change in entropy between the two states, in kJ/kg-K?Generally, the equation for the entropy is mathematically given as
S1-S2=mcp*lnt2-t1-Rlnt2/t1
Therefore
S1-S2=1+1.004*ln(500/300)-0.287*ln(650/100)
S1-S2=-0.0288KJ/Kgk
In conclusion, Entropy
S1-S2=-0.0288KJ/Kgk
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Complete Question
Air in a piston-cylinder assembly undergoes a process from state 1, where T1 = 300K, P1 = 100 kPa, to state 2, where T2 = 500K, P2 = 650 kPa. Using the ideal gas model for air, determine the change in entropy between the two states, in kJ/kg-K
The change in entropy between the two states, in a piston cylinder assembly, undergoes a process from state 1 where t1=300k is 2.36 kJ/kg K.
How to find change in entropy?The change in entropy can be find out using the following formula,
[tex]S1-S2=s^oT_1-R\ln \dfrac{p_2}{p_1}[/tex]
Here, (p1 and p2) are the pressure at state 1 and 2 and R is the gas constant. The value of R is,
R=(8.314/28.97).
Air in a piston-cylinder assembly undergoes a process from state 1, where T1 = 300 K, p1 = 100 kPa, to state 2. where T2 = 500 K, p2 = 650 kPa.
Put these values,
[tex]S_2-S_1=1.70203_1-\dfrac{8.314}{28.97}\ln \dfrac{10\text { bar}}{1\text { bar}}\\S_2-S_1=2.36\rm\; kJ/kg K[/tex]
Thus, the change in entropy between the two states, in a piston cylinder assembly undergoes a process from state 1 where t1=300k is 2.36 kJ/kg K.
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define one meter lendth
Answers
Explanation:
The metre is currently defined as the length of the path travelled by light in a vacuum in 1299 792 458 of a second.
Hope it helps
Have a great day
TC
:DD
What is current of 12 ohm? help me pleasee
Answers
Answer:
2.5A
Explanation:
We know the relation :
V = IR
V = voltage (potential difference)I = currentR = resistanceBy using the formula,
I = V/RI = 30/12I = 10/4I = 2.5AAnswer :-
Current of Device = 2.5 Ampere .Explanation :-
As per the provided information in the given question, we have been given that the Potential Difference is 30 Volt . The Resistance is given as 12 Ohm . And, we have been asked to calculate the Current of the Device.
For calculating the Current , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed { \sf{ \: Current \: = \: \dfrac{Potential \: Difference}{Resistance} \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf { Current \: = \: \dfrac{Potential \: Difference}{Resistance} } [/tex]
[tex] \longmapsto \: \: \: \sf { Current \: = \: \dfrac{30}{12} } [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Current \: = \: 2.5 }} [/tex]
Hence :-
Current = 2.5 Ampere .[tex]\underline {\rule {180pt} {4pt}} [/tex]