Following the collision, the initial ball is now at rest. 4 m/s is the speed of the second ball after the collision.
This is an elastic collision, which means that both kinetic energy and momentum are conserved.
We can use the conservation of momentum to find the velocity of the second ball after the collision:
momentum initial = momentum final
m1v1 + m2v2 = m10 + m2v'2
where m1 and m2 are the masses of the balls, v1 is the initial velocity of the first ball, and v'2 is the final velocity of the second ball.
Since the mass of the two balls are equal and the first ball is initially moving, and the second ball is initially at rest, we can simplify the equation as:
m1v1 = m2v'2
v'2 = v1*(m1/m2)
Therefore, the final velocity of the second ball is 4 m/s * (m1/m2) = 4 m/s
We can conclude that the final velocity of the second ball is 4 m/s , and the speed of the first ball is 0 m/s after the collision, which confirms that it is an elastic collision and the total kinetic energy is conserved.
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Find the density of seawater at a depth where the pressure is 680 atm if the density at the surface is 1030 kg/m3. Seawater has a bulk modulus of 2. 3 × 109 N/m2. Bulk modulus is defined to be
B ≡ rho0 ∆P ∆rhoAnswer in units of kg/m3
The density of seawater at a depth where the pressure is 680 atm is 2576 kg/m3. Bulk modulus is defined to be measure of its resistance to compression.
The bulk modulus of a substance is a measure of its resistance to compression. It is defined as the ratio of the change in pressure to the resulting fractional change in volume. The density of a substance can be affected by changes in pressure. The equation to calculate density at a certain pressure is:
density = density surface x (1 + (bulk modulus x pressure) / (density surface x gravity x height surface))
where density surface is the density of the substance at the surface, bulk modulus is the bulk modulus of the substance, pressure is the pressure at a given depth, gravity is the acceleration due to gravity, and height surface is the height of the surface of the substance.
In the case of seawater:
density = 1030 kg/m3 x (1 + (2.3*10^9 N/m2 x 680 atm) / (1030 kg/m3 x 9.8 m/s^2 x 0))
density = 1030 kg/m3 x (1 + 1.502)
density = 1030 kg/m3 x 2.502
density ≈ 2576 kg/m3
So the density of seawater at a depth where the pressure is 680 atm is approximately 2576 kg/m3.
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monochromatic light is beamed into a michelson interferometer. the movable mirror is displaced 0.301 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright 1608 times. determine the wavelength of the light.
A michelson interferometer receives beams of monochromatic light. The central spot in the interferometer pattern changes from brilliant to dark and back to bright 1608 times as a result of the movable mirror being moved by 0.301 mm. then the light's wavelength is 3.74.
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
This length is typically set in meters in wireless systems (m) Colors that are monochromatic are all variations of a single hue, including tints, hues, and tones. Lighter and darker shades of the primary color or hue will make up a monochromatic color scheme.
d=mλ / 2
so λ = 2d/m
= {2* 0.301 *10^(-3)}/1608
λ = 0.000602/1608
λ = 3.74
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a positive charge is attracted to a negative charge a certain distance away. the charges are moved so that they are twice the distance apart. the force of attraction is
A positive charge and a negative charge held a certain distance apart are released and when they move, the force on each particle increases.
The charge carriers are the positively charged proton and the negatively charged electron. The movement of any of these charged particles constitutes and explained as electric current.
When there are more or fewer protons in an atom than electrons, the substance has an electric charge. Protons have a positive charge on them, while electrons have a negative charge on them. If a substance has more protons than electrons, it is positively charged; if it has more electrons, it is negatively charged.
The SI units for charge can be written as ampere-second or coulomb.
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a 80-cm-thick layer of oil floats on a 140-cm-thick layer of water. what is the pressure at the bottom of the water layer?
The pressure at the bottom of the water layer is 1.22 x 10⁵ Pa
The fluid's weight divided by the surface area gives an estimate of the pressure that the fluid exerts on its surroundings. The density of the fluid can be calculated by multiplying its mass by the acceleration caused by gravity. In this case, we are given that:
Depth of oil (h oil) = 80 cm = 0.8 m
Depth of water (h water) = 140 cm = 1.4 m
Density of water (ρ water) = 1000 kg/m³
Density of oil (ρ oil) = 881 kg/m³
The Standard Atmospheric Pressure (P) = 101325 Pa = 1.01 x 10⁵ Pa
To calculate the pressure due to the weight of liquid, we can use this following formula:
P= ρ g h
Where:
P = pressure
ρ = density of liquid
g = acceleration due to gravity
H = depth of the liquid
To calculate the absolute pressure at the bottom of the water layer, we use:
P(absolute)= P x [ρ(water) × h(water)× g] + [ ρ(oil) × h(oil)× g]
P(absolute) = 1.01 x10⁵ + (1000 x 1.4 x 9.8) + (881 x 0.8 x 9.8)
P(absolute) = 1.01 x10⁵ + 0.21 x 10⁵
P(absolute) = 1.22 x 10⁵ Pa
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a particle moves under the influence of a conservative force. at point a the particle has a kinetic energy of 12 j; at point b the particle is momentarily at rest, and the potential energy of the system is 25 j; at point c the potential energy of the system is 5 j.what is the potential energy of the system when the particle is at point a ?
The potential energy of the system at point A= 6 joules.
We know that there is no loss of energy when a conservative force acts on it. The total energy is constant it is only transferred to another form which can be easily calculated.
For a conservative force
Total energy = gravitational potential energy + kinetic energy
Now calculating total energy at point B
Total energy = 21 + 0 (velocity is 0 so kinetic energy is zero)
Total energy = 21 joules
Total energy at point A
21 = gpe + 15
gravitational potential energy = 6 joules
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A charge q= 2. 00 μC is placed at the origin in a region where there is already a uniform electric field = (100 N/C). Calculate the flux of the net electric field through a Gaussian sphere of radiuscentered at the origin. (ε0= 8. 85 × 10-12C2/N. M^2)
a. 2. 26 × 10^5 N · m^2/C
b. 5. 52 × 10^5 N · m^2/C
c. 1. 13 × 105 N · m^2/C
d. Zero
Hence, The net electric field flux is 2. 26* 10^ 5 N m2/C.
What is electric field?The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field. It also refers to the physical field of a charged particle system. The electric field can be thought of as an electric property associated with any point in space where a charge exists in any form. The electric force per unit charge is another way to describe an electric field. The formula for the electric field is E = F /Q. Volts per metre (V/m) is the SI unit for the electric field. This unit is the same as Newton's per coulomb. These are derived units in which Newton is a unit of force and Coulomb is a unit of charge.
Here,
Charge, Q=2.00 uC
Electric field E = 100 N/C i
Radius R = 10.0 cm
We need to find the flux. It can be calculate using Gauss's law
The flux of the net electric field,
flux=Q/E0
=2*10^-6/8.85*10^-12
=2.26*10^5 Nm²/C
Hence, The flux of the net electric field is 2. 26 × 10^5 N · m^2/C.
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What is the elastic potential energy of a spring that has 150.N applied to it to stretch it 5.00m?
a. Us = 750.J
b. Us = 1,880J
c. Us = 375J
d. Us = 150.J
The elastic potential energy of the spring is 375 J. Option C
What is the elastic potential energy?We have to note that the elastic potential energy has to do with the energy that has been stored in the elastic material and it can be released to do work once the spring has been stretched.
It should be noted that we would have that;
The elastic potential energy which we have shown as E is obtained from;
E = 1/2Fx
F = force applied
x = The stretching of the spring
Then
E = 0.5 * 150 * 5
E = 375 J
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Describe the motion of the object in the graph for the entire time. Explain how the motion changes, including direction and whether or not it is speeding up, slowing down or moving at a constant velocity.
The acceleration increases as the graph becomes more steep. A horizontal line indicates a constant speed of motion for the object. The object is slowing down when the line slopes downward.
What are the definition and examples of motion?Motion is the change in an object's location with relation to time. Motion can be heard in a book dropping off a table, water running from the faucet, rattling windows, etc. Even the air we breathe is in motion!
What is motion in science?Motion in physics is the shift in an object's location in relation to its environment over a specific period of time. Following phrases can be used to describe how a mass-containing object moves: Displacement. Distance. Speed.
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which will reach the spider first: the very slight sound of the impact or the disturbance traveling along the radial thread of the web?
The very slight sound of the impact will reach the spider first, as sound travels faster than the disturbance traveling along the radial thread of the web.
The speed of sound is about 343 meters per second, while the disturbance traveling through the web is much slower.
The spider's ability to detect and react to sound is an important part of its survival, as it allows it to detect predators and other potential threats. Additionally, spiders use sound to communicate with each other and to find potential mating partners.
By understanding how sound travels and how spiders use sound to detect their environment, we can gain a better understanding of how spiders interact with their environment and how they communicate with each other.
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a student has an unlabeled magnet and a piece of iron. these items are identical in appearance. how can she use a bar magnet to determine which item is which?
A bar magnet will pull unmagnetized iron toward it. A current loop is comparable to an atom. When placed in a bar magnet's magnetic field, a piece of iron, which has magnetic properties, aligns into two poles.
It is the north pole if the north pole reports the side in front of it, and vice versa if the south pole reports the south pole. When placed in a bar magnet's magnetic field, a piece of iron, which has magnetic properties, aligns into two poles.
An atom possesses charges that are in motion, which results in current. The rotational orbits of the atoms allow them to function as an analogous current loop. But despite the absence of current, iron is drawn to magnetic.
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when you boil a pot of liquid water, the water turns to steam and rises in the air. this is an example of
Water vapour, or the gaseous state of water, results from the vibration of the water molecules when it is heated. Some of these water molecules escape into the air as steam as a result. It is called evaporation because of this.
What sort of transformation takes place when water boils and turns into steam?
A shift in temperature causes a physical change in water as it boils and transforms into steam.
What kind of energy is transferred to moving water in a boiling pot?
Thermal energy can be seen in the boiling of water on a stove. When a substance's atoms and molecules vibrate more quickly as a result of a rise in temperature, thermal energy is created.
What does evaporation mean?
A liquid transforms into a gas during evaporation. It is simple to picture when puddles of rain "vanish" on a hot day or when wet clothing dries in the sun. In these instances, the liquid water is evaporating into a gas known as water vapor rather than really dissipating.
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The conversion of a liquid into a gas is known as evaporation.The global water cycle includes it as one of its three key stages.
Does liquid water transform to steam when it is boiled and ascend to the surface of the air? The conversion of a liquid into a gas is known as evaporation.The global water cycle includes it as one of its three key stages.When water is heated, its molecules vibrate, some of which escape into the air, converting to water vapor, or the gaseous state of water.Therefore, we refer to it as e VAPORation.The process by which matter transitions from the gaseous to the liquid phase in its physical condition is known as condensation.Condensation, for instance, happens when airborne water vapour, which is in the gaseous state, interacts with a colder surface to transform into liquid water.To learn more about evaporation refer
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Eduardo rode his bicycle 24 meters to his friends house. it took him 2 minutes yo arrive at his friends house. what was eduardo’s average speed
Eduardo rode his bicycle 24 meters to his friends house and it took him 2 minutes to arrive at his friends house, then Eduardo's average speed was 727 meters/hour.
What is average speed?Average speed is calculated by dividing total distance traveled by the total amount of time it took to travel that distance.
Given distance - 24m and time is 2 minutes
convert minutes to hours
Now, Average speed = distance traveled / time traveled = 24 meters / (2 minutes / 60 minutes) = 24 meters/ 0.033 hour
Hence, Average speed = 24 / 0.033 = 727 meters/hour
So, Eduardo's average speed was 727 meters/hour.
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the ability to do activities for more than a few minutes is
"Endurance" is the capacity to perform tasks for longer than a few minutes. Endurance, which typically refers to aerobic capacity, is the capacity to maintain an activity for prolonged periods of time.
Define the term Endurance and its features?Endurance, which typically refers to aerobic capacity, is the capacity to maintain an activity for prolonged periods of time.
The ability to withstand muscular fatigue and the capacity to sustain a particular type of contraction are the best definitions of local muscle endurance, which is often expressed in terms of repetitions. Muscular endurance depends on aerobic metabolism, just like aerobic endurance.The capacity of a muscle or a muscle group to sustain repeated contractions against such a force over a prolonged period of time is known as muscular endurance.The more repetitions you could perform, the stronger your muscle endurance was.
Increased metabolism as a result of being able to perform active activities for longerreduced exhaustion while exercisedecent posturefewer accidentsless likelihood of back issues because trunk muscles have become more resilient.improved athletic performanceimproved training methods for a variety of workoutsTo know more about the Endurance, here
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waves on a swimming pool propagate at 0.643 m/s. you splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in 36.7 s. how far away is the other end?
The other end of the pool is approximately 24.2 meters away.
What is pool?Pool is a game played on a table with six pockets, in which players use a cue stick to hit balls into the pockets. The game is enjoyed by people of all ages, and is especially popular in the United States and Europe.
The other end of the pool is approximately 24.2 meters away. This can be determined using the equation
speed = distance/time
In this case, the speed of the wave is 0.643 m/s, the time is 36.7 s, and the distance is unknown. We can rearrange the equation to solve for the distance:
distance = speed * time
Therefore, the distance is 0.643 m/s * 36.7 s = 24.2 m. This means that the other end of the pool is approximately 24.2 meters away.
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two point charges exert a 5.00 n force on each other. what will the force become if the distance between decreases by a factor of 2 (i.e. distance becomes 1/2 of original)?
Answer:55
Explanation: hope thi heps!
An Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 17.0 kg
attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 8.60 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping.
(a) Why must the tension T2 be greater than the tension T1?
(b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a
c) find the tensions
T1 =
T2 =
(a) The tension T2 must be greater than the tension T1 because it is pointing downwards, supporting both masses.
(b) The acceleration of the system is 9.74 m/s².
(c) The tension in T₁ is -0.78 N and T₂ is 1.02 N.
What are the tension in the cord?
There are two tensions in the cord and their magnitude is obtained from the following equation.
T₁ = m₁a - m₁g
T₁ = m₁ (a - g )
T₂ = m₂g - m₂a
T₂ = m₂ (g - a )
The resultant tension in the cord is determined as;
( T₂ - T₁)R = Iα
where;
R is the radius of the pulleyI is the moment of inertia of the pulleyα is the angular acceleration of the system( T₂ - T₁)R = I(aR)
where;
a is the tangential accelerationT₂ - T₁ = Ia
m₂g - m₂a - ( m₁a - m₁g ) = Ia
m₂g - m₂a - m₁a + m₁g = Ia
- m₂a - m₁a + m₂g + m₁g = Ia
a(m₂ + m₁) + Ia = m₂g + m₁g
a (m₂ + m₁ + I ) = m₂g + m₁g
a = ( m₂g + m₁g ) / ( m₂ + m₁ + I )
I = ¹/₂MR²
I = ¹/₂ x 8.6 x 0.2²
I = 0.172 kgm²
a = ( 17 x 9.8 + 13 x 9.8 ) / ( 17 + 13 + 0.172 )
a = 9.74 m/s²
The tension in the cords is calculated as;
T₁ = m₁ (a - g )
T₁ = 13 (9.74 - 9.8 )
T₁ = -0.78 N
T₂ = 17 (9.8 - 9.74 )
T₂ = 1.02 N
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students analyze their data from a gravity experiment. they find that objects fall at a greater speed from a greater height than from a lower height. what can they conclude?(1 point)
An experiment using gravity lead students to the conclusion that gravity affects the speed of objects.
This is thanks to the experiment that they conducted, which showed that objects fall faster when released from a higher height than when released from a lower height. This indicates that gravity is accelerating the objects as they fall.
The rate of acceleration is proportional to the force of gravity, meaning that the more gravity that is present, the faster the objects will fall. This means that the higher the height, the greater the force of gravity and the faster the objects will fall.
Students can also conclude that the time taken for an object to fall is greater from a lower height than one from a higher height. This is because the higher the height, the greater the force of gravity, meaning that the objects reach their terminal velocity quicker. Terminal velocity is the maximum speed an object will reach, and this can be reached quicker from higher heights.
Overall, students can conclude that gravity affects the speed of objects as they fall and that the higher the height, the faster the objects will fall. This is due to the force of gravity increasing with height, meaning that the objects reach their terminal velocity quicker, leading to faster falls.
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Answer:
1. Mass is the measure of the amount of matter in an object.
2. The objects do not have the same size, shape, or mass, so any differences in drop times cannot be attributed to one variable.
3. Gravity is a force that attracts objects with mass toward each other.
4. by repeating the experiment several times
5. The longer an object falls, the more gravity increases its speed.
which features do sound waves have that ocean waves do not?Check that all apply.
Answer:
-compressions
-rarefactions
Explanation: research
why is no harm done? why is no harm done? because very little charge is transferred between you and the doorknob. because there is very large voltage between you and the doorknob. because very large charge is transferred between you and the doorknob. because there is very little voltage between you and the doorknob. request answer
There's no harm done because this is really the low current there is and not many electrons transferred between you and the doorknob.
Voltage just says what is the tendency for charges to move. But it's actually the current that does harm to the body, which is the number of charges per second that move.
Electric field is the voltage or the potential difference between two points divided by the distance between them. We can solve this for V by multiplying both sides by d. So V is electric field times distance. We have electric field of about 3 times 10 to the six volts per meter when air starts to have dielectric breakdown and starts conducting and you have a spark. That's times by the separation between your finger and the doorknob which is one millimeter, which is one times 10 to the minus three meters. So the voltage must be about 3,000 volts.And in this case, there is not very many charges, and so no harm done.
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if the earth were of uniform density, what would be the value of g inside the earth at half its radius? (the value of g at the surface of earth is 9.8 m/s2 .) select all that apply 1. 4.9 m/s2 2. 9.8 m/s2 3. 39.2 m/s2 e4. 19.6 m/s
The value of g inside the earth at half of its radius is 4.9 m/s², if the value of g at the surface of the earth is 9.8 m/s².
Let the uniform density of the earth, = ρ
Radius of the earth, = R
We know the relation between the uniform density(ρ) of the earth and the acceleration due to gravity of the earth is as follows:
g = Gρ(4/3)πR
Let the value of acceleration due to gravity at (r = R/2) is g₁.
Then g₁ = Gρ(4/3)π(R/2)
g₁ = (1/2)Gρ(4/3)π(R)
g₁ = (1/2) × g
g₁ = (1/2) × 9.81 = 4.9 m/s²
Hence the correct option is 1.
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how many coulombs of positive charge are there in 1.54 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons?
Given that plutonium has an atomic mass of 244 and 94 protons per atom, there are 1.48108 C coulombs with positive charge present in 1.54 per kg plutonium.
What do the protons in atoms do?The particle possesses an electrical charge that is positive and opposite to the electron's. A single protons would weigh only 1.673? 10-27 kilograms if it were isolated, which is just a little bit less than a neutron.
What is the name for protons?Although protons were once thought of as elementary particles, the Standard Model of subatomic particles now recognizes them as composite particles made up of three valence quark, and they are grouped alongside neutrons as hadrons.
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you are given three wishes, but there's a catch: one of them won't come true for the rest of your life, and you don't get to pick which one it is. what do you wish for?
For myself and my loved ones, I would wish for good health, happiness, and success so that even if my wish did not come true, I would still have the things that matter most in life.
To interact with individuals from all over the world and fully appreciate all cultures, I would first wish for the capacity to comprehend and speak all languages with ease. This would significantly improve my capacity for international travel and communication. My second desire is for unrestricted riches and resources so that I might support charity causes, assist people in need, and have a constructive effect on society. To enjoy my money and resources and carry on having a beneficial influence on the world, a long and healthy life is my third and last wish.
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What is the speed of a car that goes 150 km in 45 minutes. What is its velocity is it is traveling south?
The speed of the car is 200 km/hour.
The velocity of the car is 200 km/hour in south direction.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Distance travelled is = 150 km.
Time taken is = 45 minute = 0.75 hour.
Hence, the speed of the car is = 150/0.75 km/hour = 200 km/hour.
As the car is traveling south, the velocity of the car is 200 km/hour in south direction.
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Where does the energy to run the mechanical clock (or grandfather clock) come from?
-electrical energy from a 120 volt outlet
-sound energy from bells ringing
-electrical energy from a battery
-the kinetic energy from a human hand
The energy to run the mechanical clock (or grandfather clock) come from the kinetic energy from a human hand.
option D.
What is mechanical energy?
Mechanical energy is a type of energy that a body or object possess due to its motion or height above the ground.
There are two type of mechanical energy and they include the following;
Potential energyKinetic energyThe kinetic energy of an object is obtained when the speed of the object increases or when the object is set in motion.
To run the mechanical clock or grandfather clock, the human hand is used pedal the clock to supply the energy needed for the clock to run.
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what is the overall displacement δx of the particle?
Answer: I am not sure about this but here you go
he overall displacement of the particle, δx, is equal to the final position of the particle minus its initial position. Since the initial and final velocities of the particle are given, the displacement can be calculated using the equation δx = vft - vit, where vf is the final velocity, vi is the initial velocity, and t is the time interval. In this case, δx = 18.0 m/s11.5 s - 29.0 m/s11.5 s = -131 m. Therefore, the overall displacement of the particle is -131 m.
Most geologist think the movement of Earth’s plates are caused by:
A- conduction
B- earthquakes
C- convection currents in the mantle
D- Earth's magnetic field
Most geologist think the movement of Earth’s plates are caused by: convection currents in the mantle. Option C- is the correct answer.
What is convection currents in the mantle?This occurs as a result of differential heating. Lighter (less dense), warm material rises while heavier (more dense) cool material sinks. It is this movement that creates circulation patterns known as convection currents in the atmosphere, in water, and in the mantle of Earth.
These convection currents are in three forms namely:
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calculate the energy per photon and the number of pho- tons emitted per second from (a) a 100-w yellow lightbulb ( 550 nm) and (b) a 1-kw microwave source ( 1 cm).
(a) Energy per photon is [tex]3.8 x 10^{-19 }J[/tex] and Number of photons per second is [tex]2.63 x 10^{20}[/tex] photons/s.
A 100-W yellow lightbulb emitting at 550 nm has a wavelength of [tex]550 x 10^{-9 }[/tex]meters. The energy per photon can be calculated using the relationship:
Energy per photon = h * c / wavelength
where h is Planck's constant ([tex]6.62607015 x 10^{-34} Js[/tex]) and c is the speed of light (299792458 m/s).
Substitute the values:
Energy per photon = [tex](6.62607015 x 10^{-34} Js) * (299792458 m/s) / (550 x 10^{-9} m)[/tex]
Energy per photon = [tex]3.8 x 10^{-19 }J[/tex]
To calculate the number of photons emitted per second, we can use the relationship:
Number of photons per second = Power / Energy per photon
By substituting the values:
Number of photons per second = [tex]100 W / (3.8 x 10^{-19} J)[/tex]
Number of photons per second = [tex]2.63 x 10^{20}[/tex] photons/s
(b) Energy per photon is [tex]2.0 x 10^{-25 }J[/tex] and Number of photons per second is [tex]5.0 x 10^{25}[/tex] photons/s
A 1-kW microwave source emitting at a wavelength of 1 cm has a wavelength of 1 x 10^-2 meters. The energy per photon can be calculated using the same relationship as before:
Energy per photon = h * c / wavelength
Energy per photon = [tex](6.62607015 x 10^{-34} Js) * (299792458 m/s) / (1 x 10^{-2} m)[/tex]
Energy per photon = [tex]2.0 x 10^{-25 }J[/tex]
To calculate the number of photons emitted per second, we can use the same relationship as before:
Number of photons per second = Power / Energy per photon
Number of photons per second = [tex]1000 W / (2.0 x 10^{-25} J)[/tex]
Number of photons per second = [tex]5.0 x 10^{25}[/tex] photons/s.
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a hypothetical planet has a radius 9 times that of earth, but has 3 times the mass of earth. what is the acceleration (m/s2) due to gravity near its surface? round your answer to the nearest tenth.
A hypothetical planet has seven times the mass of Earth and twice the radius of Earth.
what is hypothetical planet?
A hypothetical Solar System object is a planet, natural satellite, subsatellite or similar body in the Solar System whose existence is not known, but has been inferred from observational scientific evidence. Over the years a number of hypothetical planets have been proposed, and many have been disproved.Planet Nine is a hypothetical planet in the outer region of the Solar System. Its gravitational effects could explain the peculiar clustering of orbits for a group of extreme trans-Neptunian objects (ETNOs), bodies beyond Neptune that orbit the Sun at distances averaging more than 250 times that of the Earth.If something is hypothetical, it is based on possible ideas or situations rather than actual ones.To learn more about planet refers to;
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what is the boundary condition at a perfectly insulated surface expressed mathematically? (check all that apply.)
The boundary condition at a perfectly insulated surface (at x = 0, for example) can be expressed as [latex] -k frac{partial T(0, t)}{partial x}=0 [/latex]
Thermal InsulationThis node is the default boundary condition for all Heat Transfer interfaces. This boundary condition means that there is no heat flux across the boundary:
and hence specifies where the domain is well insulated. Intuitively, this equation says that the temperature gradient across the boundary is zero. For this to be true, the temperature on one side of the boundary must equal the temperature on the other side. Because there is no temperature difference across the boundary, heat cannot transfer across it. As the default boundary condition, it can be applied only on external boundaries; but when added manually, it can be applied also on interior boundaries.
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A 3. 8-mole sample of an ideal gas is gently heated at a constant temperature of 340 K. The gas expands to 2. 3 times its initial volume. What is the change in the internal energy of the gas? Let the ideal-gas constant R=8. 314 (mol x K)
The change in internal energy of an ideal gas is 826.9 J. Internal energy, represented by the symbol U, is the total energy of a system.
The change in internal energy of an ideal gas can be calculated using the equation:
ΔU = nCΔT
where ΔU is the change in internal energy, n is the number of moles of gas, C is the heat capacity at constant volume, and ΔT is the change in temperature.
Since the heat capacity at constant volume for an ideal gas is (3/2)R, we can use the ideal-gas equation to find the number of moles n = PV/RT = (810^-3 m^3)(101325 Pa)/(8.314 J/molK)(340 K) = 0.965 mol
We know that the volume of the gas expanded to 2.3 times its initial volume, thus the change in volume is 2.3 - 1 = 1.3 times
The change in internal energy can be calculated by using the equation:
ΔU = nCv(ΔT) + nRT ln(Vf/Vi)
where Cv is the heat capacity at constant volume = (3/2)R, T is the temperature, and Vf and Vi are the final and initial volume respectively.
So, ΔU = 0.965 x (3/2) x 8.314 x (340) + 0.965 x 8.314 x 340 x ln(2.3) = 826.9 J
Therefore, the change in internal energy of the gas is 826.9 J.
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