Answer:
C.30 meters
Explanation:
m = meters
s = seconds
10 m/s = 10 meters/second
3 seconds * 10 meters/second =
3 seconds * 10 meters / 1 second =
3 * 10 meters/1 = ==> cancel the seconds unit
3 * 10 meters = ==> simplify
30 meters
A) Which metals exhibit the photoelectric effect for light with ? =400nm ?Which metals exhibit the photoelectric effect for light with ?
O sodium
O copper
O gold
B)Which metals exhibit the photoelectric effect for light with ?=250nm?
O gold
O iron
Only sodium work function is less than the energy of the photon
max Kinetic Energy (Kmax) = Ephoton - Wfunction.
What is Work Function?
When a free electron tries to leave the metal surface, this positive charge pushes it back. For electrons, this force creates a "surface barrier." Only until external energy is used to break through the surface barrier will the free electrons be able to escape the metal surface. "Electron emission" is the process of releasing electrons from a metal surface.
The work function of a metal is the amount of additional energy required to remove an electron from a metal surface barrier. The term "work function" refers to the minimal amount of energy needed for an electron to simply escape from the metal surface.
Energy of a photon of wavelength (lambda) 400 nm = hf = hc/lambda = 3.105 eV
Work functions of
Sodium = 2.28 eV
Copper = 4.7 eV
Gold = 5.1 eV
In order for the metals to exhibit the photoelectric effect, their electrons must absorb a photon of energy that is greater than their work functions!
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Which color of light will generate photoelectrons with the highest kinetic energy?
(Remember, a photoelectron is an electron that absorbed a photon.)
Near Ultraviolet
Violet
Green
Blue
Yellow
Violet light has the highest frequency, hence. Consequently, violet light has the most energy.
Violet light has the shortest wavelength of all visible light, giving it the most energy. The longest wavelength and lowest energy are found in radio waves. Yellow light is less energetic than green light. This is due to the fact that yellow light's wavelength is 580 nanometers, whereas green light's is 550 nanometers. The highest energy photons ever observed have been discovered by a team of Chinese and Japanese astronomers. These photons are gamma rays with energies up to 450 trillion electron volts (TeV). Violet light has the highest frequency, hence. Consequently, violet light has the most energy.
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The sixth energy level can hold up to 32 electrons.
How many orbitals are in energy level 6?
The 7 - 16 orbitals are in energy level 6.
What is orbitals ?
A mathematical function called orbitals in physics and chemistry illustrates the wave-like behaviour of an electron or a pair of electrons in an atom. Using this function, one can figure out the likelihood of discovering an electron near the nucleus.
What is energy level ?
Energy level, also known as energy state, is any discrete value from a range of total energy values for a system of subatomic particles, such as an atom or a nucleus, that are constrained by a force in a finite region.
Therefore, 7 - 16 orbitals are in energy level 6.
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You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
You would need to survive the thermosphere: The temperature ( 2000° C or more), the cosmic radiation and charged particles.
What is thermosphere?The layer of the Earth's atmosphere known as the thermosphere is situated above the mesosphere and under the exosphere. The thermosphere is the bigger portion of the ionosphere because ultraviolet energy inside this layer of the atmosphere promotes photoionization/photodissociation of molecules, creating ions.
The remaining atmospheric gases stratify at these high elevations according to molecular mass. As a result of the sun's intensely powerful energy being absorbed, atmospheric temperatures rise with altitude. Temperatures, which can reach 2,000 °C or higher, are largely reliant on solar activity.
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A 10-year-old boy has 20/20 distance vision and 20/60 near vision. What refraction abnormality does he have?
Hyperopia is the refraction abnormality does he have.
What is Hyperopia ?
Farsightedness (farsightedness) is a common visual impairment in which distant objects can be seen clearly, but near objects may be blurred.
See your eye doctor if your farsightedness is preventing you from doing your job, or if the quality of your vision is affecting your enjoyment of activities. He or she can determine your degree of farsightedness and advise you on how to correct your vision .The degree of farsightedness affects your ability to concentrate. People having severe farsightedness can only see distant objects and things clearly, while people with mild farsightedness can see near objects clearly . This condition can be easily corrected with glasses or contact lenses. Another treatment option is surgery.
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Two long straight wires each carry a current I out of the figure toward the viewer (Figure 1) .
I O o 4
o 1
o 2 o 5
o 3
I O o6
Part A
Mark the points in which the magnetic field is zero.
Check all that apply.
Check all that apply.
O 6
O 2
O 1
O 5
O 4
O 3
Part A Mark the points in which the magnetic field is zero.The points in which the magnetic field is zero are O 2 and O 4.
A magnetic field is a force field that is created by a magnet or a moving electric charge. It is characterized by the direction of the field lines, which show the direction of the magnetic force at a given point, and the magnitude of the field, which is determined by the strength of the magnet or the amount of electric charge. Magnetic fields are used in a variety of applications, including in electric motors, generators, and MRI machines. They can also be found in natural phenomena such as the Earth's magnetic field.
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Mass- 1.50 kg. Angle- 34.4. Coefficient of friction 0.350. find net force and acceleration. Use degrees not radians
The gravitational force has an acceleration of 14.
What is gravity?Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. It is by far the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter. On the other hand, through its long reach and universal action, it controls the trajectories of bodies in the solar system and elsewhere in the universe and the structures and evolution of stars, galaxies, and the whole cosmos. On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth’s mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects. At Earth’s surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second. At the surface of the Moon the acceleration of a freely falling body is about 1.6 metres per second per second.To learn more about acceleration refer to:
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Rank the vectors in the figure in order of decreasing value of their x component. (Figure 1) Rank from the largest to the smallest. To rank items as equivalent, overlap them.
The Rank of the vectors is D A C B.
What is Vectors?
In contrast to a scalar number, a vector quantity also includes a direction component that aids in locating one point in relation to another. Here is more information on vectors. A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. In mathematics, a vector's magnitude is defined as the length of a segment of a directed line, and the vector's direction is indicated by the angle at which the vector is inclined.
A vector primarily consists of two elements, the horizontal component and the vertical component. The horizontal component's value is cos, and the vertical component's value is sin. Here is further information about vector components.
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A paramecium is covered with motile hairs called cilia that propel it at a speed of 1 mm/s.. If the paramecium has a volume of 2x10^13m^3 and a density equal to that of water, what is its de Broglie wavelength when in motion? What fraction of the paramecium's 150um length does this wavelength represent?
The de Broglie wavelength of the paramecium is 3.313 x 10^-19 m.
And the fraction of de Broglie wavelength of the paramecium represents about 2.2 x 10^-17 or 0.00000022% of its 150um leng
The de Broglie wavelength of a particle is given by the equation:
wavelength = h / (mass * velocity) where
h is Planck's constant (6.626 x 10^-34 Js)mass of paramecium = 210^13m^3 * density of water = 210^13 * 1000 kg/m^3 = 2*10^16 kgvelocity of paramecium = 1 mm/s = 10^-3 m/sSo, wavelength = (6.626 x 10^-34 Js) / (2*10^16 kg * 10^-3 m/s) = 3.313 x 10^-19 m
To calculate the fraction of the paramecium's 150um length that this wavelength represents, you would divide the wavelength by the length and multiply by 100%
3.313 x 10^-19 / 150 x 10^-6 = 2.2 x 10^-17
So the de Broglie wavelength of the paramecium represents about 2.2 x 10^-17 or 0.00000022% of its 150um length.
Key points:
The de Broglie wavelength is a concept in quantum mechanics that describes the wave-like properties of particles, such as electrons and atoms.It is named after Louis de Broglie, who first proposed the idea in his Ph.D. thesis in 1923.The wavelength is inversely proportional to the momentum of the particle and is given by the formula: wavelength = h/p, where h is Planck's constant and p is the momentum of the particle.The de Broglie wavelength can be used to explain phenomena such as diffraction and interference, which were previously only observed in wave-like systems.It also plays a key role in the understanding of electron diffraction in solid-state physics, and it is used to calculate the probability of finding an electron in a specific region of space in an atom (wave function)The wavelength can be extremely small, on the order of nanometers or even picometers, for particles with high momenta, such as high-energy electrons in a microscope.The de Broglie wavelength of macroscopic objects, such as the paramecium, is incredibly small.Learn more about de Broglie wavelength here:
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An iron atom has a magnetic dipole moment of about 1.8×10^−23A⋅m2.
Part A
Determine the dipole moment of an iron bar 9.9 cm long, 1.3 cm wide, and 1.0 cm thick, if it is 100 percent saturated.
Express your answer using two significant figures.
Part B
What torque would be exerted on this bar when placed in a 0.80-T field acting at right angles to the bar?
Express your answer using two significant figures.
A)If an iron atom has a magnetic dipole moment of about 1.8×10^−23A⋅m2.
B)Then the dipole is 3.4 x 10^-22 A.m^2 and should be 2.7 x 10^-22 N.m
Part A:
To determine the dipole moment of an iron bar, we need to know the number of atoms present in the bar and their individual magnetic dipole moments. The formula for dipole moment is given by:
dipole moment = number of atoms * individual atomic dipole moment
The volume of the bar is (9.9 cm) x (1.3 cm) x (1.0 cm) = 13.47 cm^3.
If we assume the density of iron is 7.87 g/cm^3, we can find the mass of the bar as:
mass = density x volume
= 7.87 g/cm^3 x 13.47 cm^3 = 106.07 g
Since the atomic mass of iron is about 55.847 g/mol, we can find the number of atoms present in the bar as:
number of atoms = mass / atomic mass
= 106.07 g / 55.847 g/mol = 1.91 x 10^22
Therefore, the dipole moment of the iron bar can be found as:
dipole moment = number of atoms x atomic dipole moment
= 1.91 x 10^22 x 1.8 x 10^-23 A.m^2 = 3.42 x 10^-22 A.m^2
The answer should be 3.4 x 10^-22 A.m^2
Part B:
The torque on a dipole in a magnetic field is given by the formula:
torque = dipole moment x magnetic field x sin(theta)
Where theta is the angle between the dipole moment and the magnetic field. Since the bar is placed at right angles to the field, theta is 90 degrees and the sine is 1.
Therefore, the torque can be found as:
torque = dipole moment x magnetic field
= 3.4 x 10^-22 A.m^2 x 0.8 T = 2.7 x 10^-22 N.m
The answer should be 2.7 x 10^-22 N.m
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What is the temperature of a gas in which the atoms are moving very, very rapidly?
O cold
O room temperature
O hot
The temperature of a gas in which the atoms are moving very, very rapidly is hot.
The correct option is C.
What is temperature?Temperature is defined as the degree of hotness or coldness of something.
Temperature increase results when heat energy is added to a substance resulting in an increase in the kinetic energy of the partticles of the substance.
The effect of temperature increase on substances includes an increase in the motion of the particles of the substances, a color change, an increase in pressure for gases, etc.
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The vibration of a 0.3-kg mass on a spring can be described by the equation 0.7cos(1.2t+4.3), where tt is in seconds and x is in meters. Determine the following for this system:
a. The period of the oscillation (in seconds)
b. The total energy in the system (in Joules)
c. The potential energy (in Joules) when the spring is stretched 0.253 m.
d. The kinetic energy (in J) when the spring is stretched 0.253 m.
a. The period of the oscillation is 0.833 seconds.
b. The total energy in the system is 0.2646 J
c. The potential energy when the spring is stretched 0.253 m is 0.0162 J
d. The kinetic energy when the spring is stretched 0.253 m is 0.0078 J
The displacement of the mass on the spring is given by the equation x(t) = 0.7cos(1.2t+4.3), where x is in meters and t is in seconds.
The potential energy of a spring-mass system is given by 1/2 kx^2, where
k is the spring constant x is the displacement from the equilibrium position.Using this equation, we can find the spring constant k by equating the equation for the potential energy to that of the displacement equation:
1/2 kx^2 = 1/2 * 0.7^2 * cos^2(1.2t+4.3)
Solving for k, we get k = 0.7^2 * 1.2^2
a. The period of the oscillation is given by the reciprocal of the frequency, which is 1/1.2=0.833 seconds.
b. The total energy in the system is given by the sum of the potential and kinetic energy.
As we know the spring constant we can calculate the potential energy when mass is at the extreme position,
Potential energy = 1/20.7^21.2^2*0.7^2 = 0.2205 J.
As we know, the mass of the system we can calculate the kinetic energy when mass is at the extreme position,
Kinetic energy = 1/20.31.2^2*0.7^2 = 0.0441 J.
Total energy = kinetic + potential = 0.2205 + 0.0441 = 0.2646 J
c. The potential energy when the spring is stretched 0.253 m can be calculated using the formula 1/2 kx^2, where x is the displacement from the equilibrium position.
Potential energy = 1/20.7^21.2^2*0.253^2 = 0.0162 J
d. The kinetic energy when the spring is stretched 0.253 m can be calculated by using the formula 1/2mv^2, where
v is the velocity at that point m is the mass of the systemv = dx/dt = -1.20.7sin(1.2t+4.3)
Kinetic energy = 1/20.3(-1.20.7sin(1.2t+4.3))^2 = 0.0078 J
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a dog runs 25 meters over 4 seconds what is the dog’s average speed
Answer:
The dog's average speed is 6.25 m/s.
Explanation:
To calculate the dog's average speed, you would divide the distance traveled (25 meters) by the time it took to travel that distance (4 seconds).
Average speed = distance / time
Average speed = 25 meters / 4 seconds
Average speed = 6.25 m/s (meters per second)
Answer:6.25 m/
Explanation:average speed =distance/time
can opinion lead to truth?
Answer:
No
Explanation: An opinion is a judgment, viewpoint, or statement that is not conclusive, rather than facts, which are true statements.
The four conducting cylinders shown in the figure are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I. Rank the four voltages. V_1, V_2, V_3, and V_4. in order of decreasing value. Rank from largest to smallest. To rank items as equivalent, overlap them.
The voltages V2, V3, V4 and V1 are ranked in decreasing order of voltage value as follows: V2 > V3 > V1 >V4
What is an electric circuit's voltage?The difference in potential or pressure that pushes or ignites the passage of electrical current in a conducting loop is known as a voltage.
The following formula can be used to determine the current flowing through the circuit:
I = V/ R
The conductivity formula is presented as follows;
σ = l / RXA
Where;
σ = The material's conductivity
| = The length
R stands for electrical resistance.
A is the conductor's cross-sectional area.
Therefore;
R = V/I
R = l / A σ
V/I = l × L / A × σ
Based on the cylinders' dimensions, which were discovered using a similar query, we discover;
V1 = 3V4
V2 = 8 V4
V3 = 4 V4
The rank is - V2 > V3 > V1 >V4
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In 1933, work by Irène and Frédéric Joliot-Curie proved Einstein’s prediction. They produced:
A. the first working model of a nuclear bomb.
B. an equation to calculate the fusion reaction inside a star.
C. produced an x-ray crystallography image of a nucleus.
D. produced a photograph that showed the creation of two particles when a particle of light was destroyed.
D. produced a photograph that showed the creation of two particles when a particle of light was destroyed.
In 1933, Irène and Frédéric Joliot-Curie produced a photograph that showed the creation of two particles when a particle of light was destroyed, which was Einstein's prediction in the concept of pair production, which was a process in which two particles are created when a photon is absorbed. This photograph was the first experimental evidence of this process, which was a significant discovery in the field of nuclear physics.
The two graphs in (Figure 1) are for two different vertical mass/spring systems.
0 t (s) 12
Part A
What is the frequency of system A?
Express your answer using two significant figures.
Part B
What is the first time at which the mass of system A has maximum speed while traveling in the upward direction?
Express your answer using two significant figures.
Part C
What is the period of system B?
Express your answer using two significant figures.
Part D
What is the first time at which the mechanical energy of system B is all potential?
Express your answer using two significant figures.
Part E
If both systems have the same mass, what is the ratio kA/kB of their spring constants?
Express your answer using two significant figures.
We have two graphs for two different vertical mass spring systems that are relevant to this query. We have to explain in the first section that the frequency is the system frequency.
A Because of this, we can observe that the time period Or for solutions is 34 a from the graph. It is four seconds since we know that one cycle takes one second to complete, and one cycle takes four seconds to complete. Thus, this time frame applies.
As a result, we can observe that the frequency will be one upon the And that is 1.4, which is 0.25, if A is equal to this. Therefore, the integration of the 50 frequency, number information. We must mention that when using the mask for the first time, it moves at its fastest pace while moving in an unfavorable direction toward 50.
Since we are aware that it is maximum at the mean position, at which the displacement is zero, we must inform you that I am currently in second place. Inferring from the graph that a's displacement on the time axis is zero at three seconds Consequently, it equals 23 seconds. We can see that the maximum is, in fact, quite the maximum.
The system's time period must be determined in the following section, and we must state when the mechanical energy was initially used. which also applies to kinetic energy. As a result, we can state that from the perspective of the time. The cycle does end after six seconds. It lasts for six seconds. And as we are aware, there is no kinetic energy at the extreme point. So, at the extreme, kinetic energy is equal to both zero and the potential of one mechanical energy. Therefore, an extreme point is where there is a maximum amount of displacement on either side.
Thus, we may still perceive that. To 1.5 seconds, he moves. Given that this is the extreme point, we obtain the total energy as mechanical energy. A maximum displacement point is there. No, in the following one we must ensure that both systems have the same mask. By using M by K as masses as the under root, the risk taken is equal to these two. Directly proportionate to one upon under the root of K is the same time period. That contrasts with a K note from KB. We can observe that the value of K upon kb is obtained from here. 2.25 has been vanquished there.
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What is the surface area of disk if it's circumstance is 30cm?
The area of the disk, AD = ㅤㅤ Units.
Answer the same question for a perfect square with the perimeter 30cm.
The area of the square, As = Units.
The surface area of the disk is π x (15cm)2 = 706.858 cm2.
The area of the square is (30cm)2/4 = 225 cm2.
What is surface area ?
Surface area is a measurement used to describe the total area of a two-dimensional object such as a flat surface or a curved surface. It is measured in units such as meters squared (m2) or feet squared (ft2). Surface area is an important concept in geometry and calculus, as it can help to determine the size of an object and the total area of a shape. It can also be used to calculate the surface area of a 3D object such as a sphere, cone, or cylinder. Surface area is also used to measure the amount of air or water on a surface, for example to determine the surface area of a lake. It can also be used to calculate the area of a room or a building, as well as the area of a plot of land.
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A 250 g ball travels at a velocity of 40 m/s. Its momentum is
The momentum of a 250 g ball travelling at 40 m/s is 10 kg m/s.
What is velocity?Velocity is a measure of the rate of change in a physical quantity over time. It is a vector quantity, meaning it is composed of both magnitude and direction. Velocity measures the speed of an object at a specific point in time, as well as the direction of its motion.
Momentum is a vector quantity, meaning it has both a magnitude and a direction. In this case, the magnitude of the momentum is 10 kg m/s and the direction is the same as the velocity, i.e. 40 m/s.
Momentum is a product of mass and velocity. It is calculated by multiplying mass (in kg) by velocity (in m/s) and then multiplying the answer by the direction of the velocity (1 for positive and -1 for negative). In this case, the momentum is calculated as follows:
Momentum = Mass x Velocity x Direction
= 250 g x 40 m/s x 1
= 10 kg m/s
In physics, the law of conservation of momentum states that the total momentum of a system remains constant. This means that if an object has a certain momentum, it will keep this momentum unless an external force acts on it to change it. The only way to change the momentum of the 250 g ball travelling at 40 m/s is to apply an external force to it, such as a collision or a frictional force.
In conclusion, the momentum of a 250 g ball travelling at 40 m/s is 10 kg m/s. This momentum can only be changed by applying an external force to the ball.
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3. A mother was trying to dissuade her son from marrying a girl he had met just three weeks
before. The son's response was, "But I know she's the one; the first time I saw her I began to
tremble and see spots before my eyes, and I had flutters in my chest and strange sensations in
my stomach. When I'm with her, I feel like I could just take off and fly."
Answer:
He is his choice to leave with
A 600kg roller coaster car is at the top of a loop (it is upside down) that has a radius of 6m. If the normal force on the roller coaster car is -12,000N, how fast is the car moving?
____ m/s (round to the nearest tenth)
Answer: 77.5 m/s
Explanation: We can use the following equation to calculate the velocity of the roller coaster car:
velocity = sqrt( (normal force + weight) * radius / mass)
where weight is the gravitational force acting on the car (mass * g)
Substituting the given values:
velocity = sqrt( (-12,000 N + (600 kg * 9.8 m/s^2)) * 6 m / 600 kg) = sqrt( -12,000 N + 5,880 N) * 6 m/s = sqrt( -6,120 N) * 6 m/s = 77.5 m/s (round to the nearest tenth)
The negative sign on the normal force indicates that it is acting in the opposite direction of the gravitational force. This can happen when the roller coaster car is upside down, which is the case in this problem
Two pieces of clay, one white and one gray, are thrown through the air. The white clay has a momentum 25kg. M/s and the grey clay has a momentum of -30kg. m/s immediately before they collide
What is the magnitude and direction of their final momentum immediately after the collision?
Your answer should have one significant figure.
___ kg. m/s
Two clay pieces—one white and the other gray—are hurled through the air. The white clay has a momentum of 25 kg/m/s.
What direction is momentum after a collision?The momentum will be conserved in each direction separately for a collision if the moving objects are travelling in two dimensions (for example, x and y) (as long as there is no external impulse in that direction). In other words, both before and after the impact, the total momentum will be the same in the x direction.
The momentum of the cue ball is defined as mass times velocity. Because it isn't moving yet, the 8 ball has no momentum. Due to the conservation of momentum, if you strike it straight on and the cue ball stops at the point of collision, all of its momentum must transfer to the 8 ball.
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In Young's double slit experiment, the bright spots correspond to
O regions of constructive interference
O regions of either constructive or destructive interference
O regions of destructive interference
In Young's double slit experiment, the bright spots correspond to regions of constructive interference.
Thomas Young carried out an experiment in 1801, which contributed to the debunking of the light-wave hypothesis. Since Isaac Newton's late 1600s proposal, the wave theory of light has been the preeminent explanation for how light moves across space. However, Young's experiment also served to highlight certain flaws in the wave theory. The Young's Double Slit Experiment involves shining a coherent light source—like a laser—on a screen that has two slits cut into it. Coherent light waves going through the two slits interfere with one another, resulting in the interference pattern behind the slits seeming like a wave.
Coherent light emits a distinctive interference pattern of dark and bright bands on a screen with two apertures. The wavelength of the light is closely correlated with the separation between the light bands. This finding demonstrated that light acts as a wave and backed the wave theory of light over Newton's particle theory.
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A student notices that the image produced from a large concave mirror of a distant skyscraper (h = 59 m) is inverted and the magnitude of the height is |hi| = 1.07 m tall. The image is located d = 175 cm in front of the mirror. ds = - d h/hi ds = 96.49 m Numerically, what is the focal length of the mirror, f , in cm
The focal length of a concave mirror of distant skyscraper is 127.65 cm.
The formula for the focal length of a concave mirror is:
1/f = (1/d) + (1/di)
Where d is the distance from the object to the mirror, di is the distance from the image to the mirror, and f is the focal length.
Given that d = 175 cm and |hi| = 1.07 m, we can calculate the distance from the image to the mirror (di) as follows:
di = (h/|hi|) * d = (59 m / 1.07 m) * 175 cm = 96.49 m
Now we can use this value of di in the above mentioned formula to get the focal length of the mirror :
1/f = (1/d) + (1/di) = (1/175 cm) + (1/-96.49 m)
f = -1/((1/175 cm) + (1/-96.49 m))
f = -1/(1/175 cm - 1/96.49 m)
f = -175 cm / (-1.085)
f ≈ 127.65 cm
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The figure below shows two charges. Calculate the magnitude of the electric field at point P. Q1= -1.90 muC Q2=-1.10 muC d1= 1.50 m d2= 1.90 m.
Coulomb's law, which states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them, can be used to determine the size of the electric field at point P.
E = k * Q / r2 is the formula for the electric field resulting from a single point charge. where Q is the point charge, r is the distance from the point charge, k is the Coulomb's constant (8.99 * 109 N*m2/C2), and E is the electric field.We must sum the electric fields resulting from each charge in order to determine the overall electric field at point P.
E equals k * (Q1/d1 + Q2/d2 ).where d1 = 1.50 m, d2 = 1.90 m, Q1 = 1.90 x 10-6 C, and Q2 = 1.10 x 10-6 C.E = 1.90 * 10-6 C / (1.50 m) + 1.10 * 10-6 C / (1.90 m) * (-1.90 * 10-6 C / (1.90 m)) * (-1.10 * 10-6 C / (1.90 m))
E = -1.07 * 10^6 N/C
Therefore, the electric field at point P is 1.07 * 106 N/C in size.
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A 1.5-kg ball is thrown at 10 m/s. What is the ball's momentum?
Explanation: Momentum: It is defined as the motion of a moving body. Or it is defined as the product of the mass or velocity of an object.
The formula of momentum is: p=mt
where,
p = momentum =?
m = mass = 1.5 kg
v = velocity = 10 m/s
Now put all the given values in the above formula, and we get:
p = 1.5 kg * 10 m/s
p = 15kg.m/s
Therefore, the momentum of the ball is 15 kg.m/s
An 800kg roller coaster is at the top of a hill (the hill radius is 7m) moving with a speed of 4 m/s. What is the normal force on the roller coaster at this point?
Normal Force =____ N (round to the nearest tenth)
Explanation:
normal force = mass times gravity
Fn = MG
Fn=?
M=800kg
G=4m/s
Fn = 800*4
Fn = 3200 N
What happens to the internal energy of a system when mechanical work is done on it? What happens to its temperature?
When the system performs mechanical work, internal energy decreases.
Explanation:
Likewise, U (internal energy) = Q (heat) + W (work completed). If the system performs work, then work is negative and internal energy declines.
If done quickly, the internal energy will drop, which will lead to a drop in temperature. Any internal energy loss, if gradual, is offset by heat entering the system to maintain the same temperature.
When mechanical work is done on a system, the internal energy of the system increases. The temperature of the system does not necessarily change.
What is temperature?
Temperature is a physical property of matter that quantitatively expresses the common notions of hot and cold. It is measured by a thermometer and usually expressed in units of degrees Celsius (°C) or Fahrenheit (°F). Temperature is an important parameter in many natural processes and is an essential component of weather forecasting. Temperature is related to the amount of energy in a system; the higher the temperature, the greater the average energy of the system's constituent particles. The average kinetic energy of the particles in a system is proportional to the absolute temperature. Temperature also has an effect on the physical properties of matter, such as its phase and viscosity. Heat transfer from one system to another is a major component of thermodynamics, and is dependent on the temperature difference between the two systems.
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Two objects are placed 0.088meters away from each other. One object has a mass of 730Kg. The resulting attractive force is 0.0053Newtons. Find the mass of the second object.
Weight and mass are measurements of the amount of substance and the gravitational pull, respectively, on an item. The quantity of matter in an item is its mass. Kilograms are used to measure mass (kg).
What is the meaning of mass of an object?Weight is the force of gravity acting on an object, whereas mass is the quantity of "matter" (though "matter" may be difficult to define) in an object. To put it another way, a 1.0 kilogram object weighs about 9.81 newtons on the surface of the Earth, which is equal to its mass times the gravitational field's strength. The object weighs the same amount whether it is on Mars, where gravity is weaker, Saturn, where gravity is stronger, or space, where gravity is light and the object is very far from any important sources of gravity.
The attractive force between two objects is given by the equation F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the objects.
Given that F = 0.0053 N, m1 = 730 kg, and r = 0.088 m, we can solve for m2:
0.0053 N = (6.67 x 10^-11 N*(m^2)/(kg^2)) * (730 kg) * m2 / (0.088 m)^2
Therefore, m2 = 0.0053 N * (0.088 m)^2 / (6.67 x 10^-11 N*(m^2)/(kg^2) * 730 kg)
m2 = 0.0053 N * (0.088 m)^2 / (6.67 x 10^-11 N*(m^2)/(kg^2) * 730 kg)
m2 = 0.0053 / (6.67 * 10^-11 * 730) = 0.0053 / (4.6*10^-9) = 1144.78 kg
So the mass of the second object is approximately 1144.78 kg.
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The volume of the gas decreased from 2.40 L to 2.00 L and the final is set at 313 K. Assuming a constant pressure, calculate the law initial temperature of the gas in kelvins
So, the initial temperature of the gas in kelvins is 375.6 K.
IntroductionHi! Here I will help you to solve the problem about the relationship between volume and temperature of the gas in a closed system. Look again at the sentence in the problem. It states that gas has a constant pressure in every condition. In other words, this is an isobaric process that also indirectly leads to Charles' Law. Charles' Law states the proportionality between the volume of a gas in a closed system and its absolute temperature. The general equation of Charles' Law in general, is expressed in the equation:
[tex] \boxed{\sf{\bold{\frac{V}{T} = C}}} [/tex]
With the following condition:
V = volume of the gas in closed systemT = temperature of the gas in closed systemC = constant conditionFormula UsedIn this case, we can calculate the relationship between changes in temperature and changes in gas volume in a closed system with the following equation:
[tex] \boxed{\sf{\bold{\frac{V_i}{T_i} = \frac{V_f}{T_f}}}} [/tex]
With the following condition:
[tex] \sf{V_i}[/tex] = the volume at initial sample[tex] \sf{V_f}[/tex] = the volume at final sample[tex] \sf{T_i}[/tex] = the temperature at initial sample[tex] \sf{T_f}[/tex] = the temperature at final sampleProblem SolvingWe know that:[tex] \sf{V_i}[/tex] = the volume at initial sample = 2.40 L[tex] \sf{V_f}[/tex] = the volume at final sample = 2.00 L[tex] \sf{T_f}[/tex] = the temperature at final sample = 313 KWhat was asked?
[tex] \sf{T_i}[/tex] = the temperature at initial sample = ... KStep by step:
[tex] \sf{\frac{V_i}{T_i} = \frac{V_f}{T_f}} [/tex]
[tex] \sf{\frac{2.40}{T_i} = \frac{2.00}{313}} [/tex]
[tex] \sf{2.00(T_i) = 2.40(313)} [/tex]
[tex] \sf{T_i = \frac{2.40(313)}{2.00}} [/tex]
[tex] \sf{T_i = 1.20(313)} [/tex]
[tex] \sf{\bold{T_i = 375.6 \: K}} [/tex]
ConclusionSo, the initial temperature of the gas in kelvins is 375.6 K.
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