Answer:
Resonance is a phenomenon that occurs when the frequency at which an external force is applied to an object is equal to the natural frequency of vibration of that object.
In physics, resonance is a common occurrence in mechanical, electrical, and acoustical systems.
In practical situations, when an electric appliance is connected to a known voltage source, then how does the heating effect of electric current can be calculated?
what is the azimuth of an object that is ten degrees south of east?
Azimuth is the angle measured from the horizon's north or south pole to the bottom of the vertical circle around a celestial body. The star's azimuth is 180 degrees if it is south of the zenith and facing south. The star's altitude is 90-10 = 80° if it is 10° from the zenith. Because the sky appears to change from East to West as the Earth spins, you do need to let your companions know what time it is.
Azimuth is the angle measured from the horizon's north or south pole to the bottom of the vertical circle around a celestial body. A horizontal direction's azimuth is defined as how much it deviates from north or south. heavenly coordinates, a group of numbers used to identify where in the sky (sometimes called the celestial sphere) a celestial object is located. The horizon system (altitude and azimuth), galactic coordinates, the ecliptic system (measured relative to the orbital plane of Earth), and the equatorial system are among the coordinate systems utilized (right ascension and declination, directly analogous to terrestrial latitude and longitude).
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what best describes the orbit of the earth around the sun?
The orbit of the Earth around the Sun is an elliptical, or oval-shaped, path that takes approximately 365.25 days to complete one full revolution.
The Earth's orbit is not perfectly circular, but rather slightly elongated, with the Sun located at one of the two foci of the ellipse.
During its orbit, the Earth's distance from the Sun varies, with the closest approach occurring in early January and the farthest distance occurring in early July. This variation in distance, along with the Earth's axial tilt, is responsible for the changing seasons on Earth.
The orbit of the Earth around the Sun is governed by the gravitational pull of the Sun, as well as the gravitational interactions between the Earth and other planets in the solar system. Despite the complex forces at play, the Earth's orbit remains remarkably stable over long periods of time.
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An electromagnet is the most powerful type of magnet there is . It is a magnet with a current running through it that can be turned on and off , Why might it be useful to be able to turn the electromagnet on and off ?
To control the strength of the magnet
To not waste electricity
To latch onto and let go of objects
To reduce wearing out of the magnet over time
It might be useful to be able to turn the electromagnet on and off so as to latch onto and let go of objects.
Electromagnets are incredibly useful because they can be used to create a magnetic field on demand. This means they can be used to quickly switch a device or system on or off. They can be used to quickly pick up and move objects, to switch circuits, and to control the flow of electricity in a device. They are also used in many industrial and scientific applications such as manufacturing, motors, generators, and MRI machines. While you cannot feel electromagnetic radiation, it does release specific pulses that have an impact on your physical and emotional well-being. It's a good idea to turn off anything that could actually cause some of your organs to shrink.
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A dust particle with a charge of 3.2 E−7 C is located near a dust cloth carrying a charge of +6.7 E−7 C. If the force acting on the dust particle from the cloth is 4.8 E−4 N, what is the distance between the particle and the cloth?
Group of answer choices
2.0 m
3.2 m
20 cm
2.7 m
According to the question, the distance between the particle and the cloth are: 2.7 m.
What is distance?
Distance is a numerical measurement of the amount of space between two points. It is usually measured in units such as meters, kilometers, feet, or miles. Distance can be used to measure the length of a path, the size of an area, or the length of a journey. Distance is also used to compare the size of two objects, such as the distance between two cities or the distance between two planets. Distance is an important concept in many fields, including mathematics, physics, engineering, geography, navigation, and astronomy.
The force between two charged particles can be calculated using Coulomb's Law, which states that the force between two charges is equal to the product of the charges divided by the square of the distance between them. In this case, we can rearrange the equation to solve for the distance between the two particles:
distance = (charge1 * charge2) / (force)
distance = (3.2 E−7 C * 6.7 E−7 C) / (4.8 E−4 N)
distance = 2.7 m
So, D is correct.
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Dark moths began to outnumber white moths in cities after the Industrial Revolution. What is the most likely reason for this change?
answer choices
Light-colored moths mutated into dark colored moths.
Light-colored moths began to die due to overpopulation.
Light-colored moths were less favored for survival in the new environment.
Light-colored moths began to turn black because of factory pollution.
The most likely reason for the change in moth coloration is that light-colored moths were less favored for survival in the new environment.
What is Industrial Revolution?In the late 18th and early 19th centuries, there was a huge period of economic and social transformation known as the Industrial Revolution. It started in Britain and later expanded to the rest of Europe and North America. Rapid industrialization and technological advancement throughout the Industrial Revolution changed how things were produced and distributed, spurring the development of new industries and contemporary cities.
A number of events led to the start of the Industrial Revolution in Britain around the middle of the eighteenth century. The abundance of natural resources, such as coal and iron ore, which were used to power the machinery and industries that would propel the Industrial Revolution, was one of the main motivators. Britain also had a solid banking system and a stable administration, which promoted investment and development. Technological advancements like the steam engine and the spinning jenny made it possible to produce items more quickly and effectively, while the construction of new transportation infrastructure like railroads and canals made it simpler to carry finished goods and raw materials.
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bulbs a and b in the figure are identical, and both are glowing. what happens to each bulb when the switch is closed?
When a circuit is finished and current can flow, it is said to be in a closed-circuit condition. In the closed position, the current has a clear passage.
What condition in which each bulb switch is closed?The light bulb turns on when the switch is closed because current passes through the circuit. The bulb receives its full 120 volts and the intended current flow, which allows it to operate at maximum brightness.
There is a closed (or full) circuit with the bulb when the circuit's wires are attached to the metal casing and metal tip of the lightbulb. The filament will be able to conduct electricity, which will result in the bulb lighting up.
Therefore, in this case, both bulbs receive the same amount of electricity both before and after the switch is closed. Consequently, the brightness doesn't change.
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an iron rod of length 30cm is heated through 50Kelvin. calculate it's increase in length °C (Linear expansivity of iron=1.2 x 10^-5K ^-1)
Answer:
0.018 cm
Explanation:
The increase in length can be calculated using the formula:
ΔL = α * L * ΔT
where ΔL is the increase in length, α is the linear expansivity of iron, L is the original length of the rod, and ΔT is the change in temperature.
Plugging in the values, we get:
ΔL = 1.2 x 10^-5 * 30 * 50
ΔL = 0.018 cm
So, the iron rod increases in length by 0.018 cm when heated through 50 Kelvin.
(21) If you want to create a pendulum that has a period of 5 seconds, how long would the string need to be?
a.
1.58 meters
c. 2.75 meters
b. 6.33 meters
d. 3.21 meters
(22) What would be the frequency of the pendulum?
0.16 Hz
c. 6.33 Hz
1.26 Hz
d. 0.2 Hz
The length of the string is 2.75m and the frequency of the pendulum is 0.2Hz.
What is frequency?Frequency is a measure of the number of cycles of a periodic wave that occur in a unit of time. It is usually expressed in Hertz (Hz), which is the number of cycles per second. The frequency of a wave determines its perceived pitch, with higher frequencies producing higher pitches and lower frequencies producing lower pitches.
a. The length of the pendulum required to achieve a period of 5 seconds can be calculated using the formula:
T = 2 * π * √(l/g)
where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity (approximately [tex]9.8 m/s^2[/tex]). Solving for l:
[tex]l = (g * T^2) / (4 * π^2)[/tex]
Substituting T = 5 seconds and g =[tex]9.8 m/s^2[/tex], we get:
[tex]l = (9.8 * 5^2) / (4 * π^2)[/tex] = 2.75 meters
So the correct answer is c. 2.75 meters.
(22) b. The frequency of a pendulum is given by the formula:
f = 1 / T
where f is the frequency and T is the period. Substituting T = 5 seconds, we get:
f = 1 / 5 = 0.2 Hz
So the correct answer is d. 0.2 Hz.
Therefore, The length of the string is 2.75m and the frequency of the pendulum is 0.2Hz.
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A student conducts an investigation on a bar magnet with unlabeled poles. To determine which side of the magnet is north (N) or south (S), what steps can the student take?
A. The student can cut the bar magnet in half and observe the direction of the magnetic field on each individual piece.
B. The student can place the bar magnet near a nonmetal surface and observe the direction of the magnetic field on the surface.
C. The student can place the bar magnet near a metallic surface and observe the direction of the magnetic field on the surface.
D. The student can place the bar magnet near the known pole of a second magnet and observe the interaction between the poles.
The student can place the bar magnet near the known pole of a second magnet and observe the interaction between the poles.
option D.
How can the student determine the poles of the magnet?When two magnets are brought near each other, the direction of the magnetic field lines can be used to determine the orientation of the poles.
If the two magnets are brought near each other with the same poles facing each other (north-north or south-south), they will experience a repulsive force and will push away from each other.
On the other hand, if the magnets are brought near each other with opposite poles facing each other (north-south), they will experience an attractive force and will move towards each other.
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You throw a rock horizontally off a cliff that’s 90 m high. How long will it take the rock to hit the ground?
An object is moving along a frictionless track and has a total energy of 210,000 J. At some point along the track, the object's potential energy is 92,000 J. Calculate how much kinetic energy the object has at that same point in the track. Explain how this follows the law of conservation of energy.
Answer:
118,000 J
Explanation:
The law of conservation of energy states that the total energy in a system remains constant, it can be transformed from one form to another, but the total energy remains the same.
Given that the total energy of the object is 210,000 J, and its potential energy at a certain point along the track is 92,000 J, we can use the law of conservation of energy to find the kinetic energy of the object at that point.
The total energy of the object is equal to the sum of its kinetic energy (KE) and its potential energy (PE):
E_total = KE + PE
Substituting the given values:
210,000 J = KE + 92,000 J
Solving for KE:
KE = 210,000 J - 92,000 J = 118,000 J
So, the object has a kinetic energy of 118,000 J at the same point where its potential energy is 92,000 J.
This follows the law of conservation of energy because the total energy of the object remains constant, and the change in potential energy is equal to the change in kinetic energy.
determine the longest wavelength of light capable to remove an electron from a sample of potassium metal, if the binding energy for an electron in k is 1.76 × 103 kj/mol?
The longest wavelength of the light that is capable to remove an electron from the potassium metal is 68 nm
The binding energy of the electron in potassium = 1.76 x 10⁶ J/mol
The longest wavelength required to remove the electron from the potassium can be found using the formula,
E = hc / λ
where E is the binding energy of the potassium
h is Planck's constant
c is the speed of light
λ is the wavelength of the light.
The energy required for one electron is
1.76 × 10⁶ / 6.02× 10²³ = 2.92 × 10⁻¹⁸
Let us substitute the known values in the above equation, we get
2.92 × 10⁻¹⁸ = 6.63 x 10⁻³⁴ x 3 x 10⁸ / λ
λ = 6.63 x 10⁻³⁴ x 3 x 10⁸ / 2.92 × 10⁻¹⁸
= 6.82 x 10⁻⁸
= 68.2 nm
Therefore, the wavelength of the light is 68.2 nm
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they also have different ____________ , or the amount of energy needed to increase the temperature of the object.
Different substances also have different specific heat capacities, which is the amount of energy needed to increase the temperature of an object by a certain amount.
Specific heat is defined as the amount of heat energy required to raise the temperature of one unit of mass of a substance by one degree Celsius (or one Kelvin). It is a physical property that depends on the chemical composition and molecular structure of the substance. Substances with a high specific heat capacity require more heat energy to increase their temperature than substances with a low specific heat capacity. For example, water has a very high specific heat capacity, which means that it takes a large amount of heat energy to raise its temperature by even a small amount. This is why water is often used as a coolant in industrial processes, as it can absorb a large amount of heat without increasing in temperature significantly. On the other hand, metals have low specific heat capacities, which means that they require relatively less heat energy to increase their temperature. This is why metals are often used in cooking utensils, as they can be quickly heated up and used to cook food. Specific heat is an important property in various fields of science and engineering, as it affects the way heat is transferred between different substances, such as in thermal insulation, heating and cooling systems, and chemical reactions.
In summary, specific heat capacity is a property of a substance that determines the amount of heat energy needed to increase the temperature of the substance by a certain amount. Different substances have different specific heat capacities due to differences in their chemical composition and molecular structure.
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assume each led has a voltage drop of 1.8 v when fully forward-biased. how much current does this circuit draw? is this a safe level of current for the leds?
Given voltage drop across
EDLED is 1.8V in forward bias.
1.8 1.8 1.8
100
if
3.1kn
Applying Kirchhoff's voltage law to the circuit,
we get 10-1.8-1.8-1.8 - EXLOUD
<= 0=)46= 8×1000 [= 4.6 MA.
It is safe current level for a LED-for typical Current is arand power LED maximum forward 20 mA.
Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light. In brief, voltage = pressure, and it is measured in volts (V).
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In the opposite electric circuit, if the reading of the
voltmeter is 6 V, the resistance of R equals
Answer:
[tex]2\; {\rm \Omega}[/tex].
Explanation:
The lower case "[tex]r = 1\; {\rm \Omega}[/tex]" in the circuit diagram indicates that the internal resistance of this [tex]12\; {\rm V}[/tex]-battery is [tex]1\; {\rm \Omega}[/tex].
In practice, the rated [tex]12\; {\rm V}[/tex] voltage drop across this battery is split across not just the resistors in the external circuit, but also across the internal resistance of the battery.
The voltameter in this circuit measures the voltage drop across the [tex]3\; {\rm \Omega}[/tex] resistor and the unknown resistor [tex]R[/tex]. The voltage drop across the internal resistance and the other resistor (a total of [tex]1\; {\rm \Omega} + 4\; {\rm \Omega} = 5\; {\rm \Omega}[/tex]) would be [tex]12\; {\rm V} - 6\; {\rm V} = 6\; {\rm V}[/tex].
Divide the voltage drop by the resistance to find the current:
[tex]\begin{aligned}I &= \frac{V}{R} \\ &= \frac{6\; {\rm V}}{5\; {\rm \Omega}} = 1.2\; {\rm A}\end{aligned}[/tex].
Since this circuit is serial, current would be the same everywhere in the circuit. Given that voltage drop across the [tex]3\; {\rm \Omega}[/tex] resistor and the unknown resistor is [tex]6\; {\rm V}[/tex], the resistance of that part of the circuit would be:
[tex]\begin{aligned}\frac{6\; {\rm V}}{1.2\; {\rm A}} = 5\; {\rm \Omega}\end{aligned}[/tex].
Subtract the [tex]3\; {\rm \Omega}[/tex] from the resistance to find the value of [tex]R[/tex]:
[tex]R = (5\; {\rm \Omega} - 3\; {\rm \Omega}) = 2\; {\rm \Omega}[/tex].
On a dry winter day, if you scuff your feet across a carpet, you build up a charge and get a shock when you touch a metal doorknob. In a dark room you can actually see a spark about 2 cm long. Air breaks down at a field strength of 3 × 10^6 N/C. How much charge have you built up? As- sume that just before the spark occurs, all the charge is in your finger, drawn there by in- duction due to the proximity of the doorknob. Approximate your fingertip as a sphere of di- ameter 1.42 cm, and assume that there is an equal amount of charge on the doorknob 2 cm away. Answer in units of C How many electrons does this correspond to? The elemental charge is 1.60218 × 10-19 C.
The number of electrons that corresponds to the number of charges is 2.71 × 10¹⁰ electrons.
How much charge have you built up?
The breakdown field strength of air is 3 × 10⁶ N/C, and the distance between the fingertip and the doorknob is 2 cm, so the electric field between the two is given by:
E = 3 × 10⁶ N/C
The electric field causes the charge on the fingertip to be drawn towards the doorknob, so we can calculate the charge on the fingertip using the formula:
q = 4π ε_0 x Er²
where;
r is the radius of the fingertip (0.71 cm) and
ε_0 is the permittivity of free space (8.854 × 10^-12 C^2/Nm²).
q = 4 x π x 8.854 × 10⁻¹² x 3 × 10⁶ x 0.71²
q = 2.17 × 10⁻⁸ C
The charge on the doorknob is equal and opposite to the charge on the fingertip, so the total charge on both is calculated as;
Q_total = 2 x 2.17 × 10⁻⁸ C
= 4.34 × 10⁻⁸ C.
The number of electrons is calculated as follows;
number of electrons = q / e
where;
e is the elementary charge (1.60218 × 10⁻¹⁹ C).number of electrons = ( 4.34 × 10⁻⁸ C / 1.60218 × ⁻¹⁹ C )
number of electrons = 2.71 × 10¹⁰ electrons
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the (nonconservative) force propelling a 1.50 103-kg car up a mountain road does 4.30 106 j of work on the car. the car starts from rest at sea level and has a speed of 24.0 m/s at an altitude of 2.10 102 m above sea level. obtain the work done on the car by the combined forces of friction and air resistance, both of which are nonconservative forces.
The required work done by the combined force is -2.572 × 10⁶ J and the negative sign indicates that the force has component in the direction to the displacement.
We know that the work done by all forces equals the change in potential energy
w friction + w air + w engine = mv²f + mghf/2 - mv²i + mghi/2
Here,
hi = 0 m
vi = 0 m/s
When we combine all of the supplied values, we get:
W friction + W air + 4.30 * 10⁶ = m × (v²f+ ghf)/2 - 0
W friction + W air = 1.5 × 10³ × (24² + 9.8 × 2.2 × 10²)/2 - 4.30 × 10⁶
W friction + W air = -2.572 × 10⁶ j
Friction is a force that resists the motion of things; friction may cause items to slow down. Friction is represented by air resistance. Moving objects are slowed by air resistance. The air resistance of an item is affected by physical features such as its form.
When air pushes against a moving object, it creates air resistance force. Frictional forces include air resistance. Force is always applied against the motion of an item.
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Correct Question:
The (nonconservative) force propelling a 1.50 × 10³ kg car up a mountain road does 4.30 × 10⁶ J of work on the car. the car starts from rest at sea level and has a speed of 24.0 m/s at an altitude of 2.10 × 10² m above sea level. obtain the work done on the car by the combined forces of friction and air resistance, both of which are nonconservative forces.
Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears _________ star B. Choose one: A. 3 times brighter than B. 9 times brighter than C. one-third as bright as D. the same brightness as E. one-ninth as bright as
The brightness of a star increases as it becomes bigger. It stands to reason that a larger star would have a larger surface. The larger surface area allows for the emission of more light and energy. The temperature of a star also affects its luminosity. Thus option E is correct.
What is the equal luminosity of stars?The amount of light emitted from a star's surface, on the other hand, is referred to as brightness. The relationship between apparent brightness and luminosity changes with distance.
The size and effective temperature of a star can be used to calculate its brightness. The former is often expressed in terms of solar radii, whilst the latter is typically expressed in kelvins, but neither is typically physically measurable.
Therefore, 1/9 as bright. So it must appear fainter. Since brightness scales as 1/d^2 it will appear 3^2=9 times fainter.
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Worth 50 points, please answer quick.
A snowboarder stands at the edge of a 4.50 m high half-pipe. The mass of the snowboarder is 55.0 kg. What is the gravitational potential energy of the snowboarder?
Answer:
he gravitational potential energy of the snowboarder is 2532.5 J.
Explanation:
The gravitational potential energy of an object is given by the formula:
PE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.
In this case, the mass of the snowboarder is 55.0 kg, the acceleration due to gravity is 9.8 m/s^2, and the height of the snowboarder is 4.50 m. So, the gravitational potential energy of the snowboarder can be calculated as:
PE = (55.0 kg)(9.8 m/s^2)(4.50 m) = 2532.5 J
So, the gravitational potential energy of the snowboarder is 2532.5 J.
Answer:
2425.5 J
Explanation:
The gravitational potential energy of an object can be calculated using the formula:
PE = m * g * h
where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth), and h is the height of the object above a reference point.
Plugging in the values, we get:
PE = 55.0 kg * 9.8 m/s^2 * 4.50 m = 2425.5 J
So the gravitational potential energy of the snowboarder is 2425.5 J (joules).
at maximum performance, a particular engine performs 19800 j of work in 95 minutes. what is its power rating?
The power rating of an engine that has maximum performance which performs 19800 j of work in 95 minutes is 3.46kW.
Power is calculated by the equation Power = Work / Time.
Power is the rate at which work is done or energy is transferred or converted. It is the rate at which work is done or energy is transformed from one form to another. It is commonly expressed in watts (W) or joules per second (J/s). Power is the product of work and time. The amount of work done is determined by the amount of time it takes for the work to be completed, and the amount of power is determined by the amount of work accomplished in a given amount of time.
Power rating = 19800 J / (95 minutes x 60 seconds/minute)
Power rating = 19800 J / 5700 s
Power rating = 3.46 kW
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riding the elevator, is the normal force on you larger than, smaller than, or equal to your weight under each of the following circumstances? why? (a) the elevator is moving down and coming to a stop. (b) the elevator is moving up and coming to a stop. (c) the elevator is moving up, speeding up. (d) the elevator is moving down at constant speed.
Your perceived weight is equal to the normal force. Therefore, when the elevator accelerates upward or downward, you truly feel a little heavier than usual and a little lighter than usual.
(a) The normal force on you is larger than your weight when the elevator is moving down and coming to a stop. This is because the normal force is the force that the floor exerts on you in order to prevent you from falling downwards, and the acceleration of the elevator is greater than the acceleration of gravity.
(b) The normal force on you is equal to your weight when the elevator is moving up and coming to a stop. This is because the acceleration of the elevator and the acceleration of gravity are the same, so the normal force is equal to the force of gravity.
(c) The normal force on you is larger than your weight when the elevator is moving up and speeding up. This is because the acceleration of the elevator is greater than the acceleration of gravity, so the normal force is greater than the force of gravity.
(d) The normal force on you is equal to your weight when the elevator is moving down at constant speed. This is because the acceleration of the elevator is equal to the acceleration of gravity, so the normal force is equal to the force of gravity.
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Which energy associated with movement is energy while energy is stored energy? Kinetic Energy | Potential Energy | Mecanic Energy | Biodiesel Energy
The energy associated with movement is Kinetic Energy, while energy that is stored is Potential Energy.
What is Kinetic vs Potential energy?Two types of energy—kinetic energy and potential energy—describe the condition of a system. While potential energy is the energy stored in an object or system based on its location or configuration, kinetic energy is the energy of motion.
The energy that an object has as a result of motion is known as kinetic energy. The formula KE=1/2mv2 can be used to calculate an object's kinetic energy, which depends on its mass and speed. In this instance, m stands for the object's mass and v for its speed. An object has more kinetic energy the faster it moves. For instance, a moving vehicle has more kinetic energy than a vehicle that is stationary.
On the other hand, potential energy is the energy that an object has as a result of its position or configuration. It is frequently referred to as the energy that a thing possesses as a result of its capacity for labor. Gravitational potential energy, or the energy an item has as a result of its position with respect to a reference point like the ground, is the most typical illustration of potential energy. A lower-altitude item has less gravitational potential energy than a higher-altitude object. PE=mgh, where m is the object's mass, g is the acceleration brought on by gravity, and h is the object's height above the reference point, is the formula for gravitational potential energy.
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Electromagnetic radiation consists of particles called ______, each of which has a discrete amount, or quantum, of energy. However, since electromagnetic radiation also has wave properties, each particle is also characterized by a specific ________ (m) and frequency (s-1).
Electromagnetic radiation consists of particles called photons, each of which has a discrete amount, or quantum, of energy. However, since electromagnetic radiation also has wave properties, each particle is also characterized by a specific wavelength(m) and frequency (s-1).
What is wavelength?
A periodic wave's wavelength is the distance that its shape repeats. It is a feature of both travelling and standing waves, as well as other spatial wave patterns. It is the distance between two successive points on a wave that belong to the same phase, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. Lambda (λ), a Greek letter, is typically used to represent wavelength. The term wavelength is occasionally used to refer to all modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.
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under favorable circumstances including reaction time
A car with adequate brakes traveling at 50 mph can be stopped within: 229 feet under ideal conditions, including response time.
How much time does it take to respond?Reaction time is a term used to describe how rapidly an organism responds to a stimuli (RT). The length of time (RT) that passes between the stimulus's presentation and the emergence of the subject's appropriate voluntary response is calculated.
Is IQ a factor in reaction time?Reaction time is a more straightforward measure of the brain's information-processing capacity than intelligence, and it has a mildly positive relationship with IQ. It also has little to do with other, potentially confusing aspects like knowledge, education, or history.
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one revolution per hour is how many rad/s? if the object in question has a radius of 4m, what is the linear velocity at a point on the edge?
The linear velocity at a point on the edge of the object is π/450 meters per second. One revolution per hour is equivalent to 1/3600 revolutions per second (since there are 3600 seconds in an hour).
To convert revolutions per second to radians per second, we need to multiply by 2π since there are 2π radians in one revolution. So, 1/3600 revolutions per second is equal to (1/3600) * 2π radians per second, which simplifies to π/1800 radians per second. To find the linear velocity at a point on the object's edge, we can use the formula: v = ωr; where v is the linear velocity, ω is the angular velocity (in radians per second), and r is the radius of the object.
In this case, the radius is 4m, and we just found that the angular velocity is π/1800 radians per second. So, we can plug these values into the formula to get: v = (π/1800) * 4
Simplifying this expression gives: v = π/450 m/s
So, the linear velocity at a point on the object's edge is π/450 meters per second.
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a shiny sports car at the top of a vertical cliff has a potential energy of 100 mj relative to the ground below. unfortunately, a mishap occurs and it falls over the edge. when it is halfway to the ground, its kinetic energy is
The car has 50,000,000 J of kinetic energy when it's halfway to the ground.
What is kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. Kinetic energy, which may be transferred to other objects or changed into other kinds of energy, is present in every moving item.
According to question:
At the top of the cliff, the total energy of the car is purely potential energy, which is given by:
PE = mgh
where m is the mass of the car, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height of the cliff relative to the ground.
In this case, the potential energy of the car is given as 100 MJ. However, we need to convert this to joules in order to use it in the kinetic energy calculation later.
1 MJ = 1,000,000 J, so
PE = 100 MJ = 100,000,000 J
Now, when the car falls halfway to the ground, it has lost half of its potential energy, which means it now has:
PE = 0.5 * 100,000,000 J = 50,000,000 J
At this point, the car has also gained some kinetic energy due to its motion. The total energy (potential + kinetic) must still be conserved, so we can use the law of conservation of energy to find the kinetic energy of the car when it's halfway to the ground:
PE(initial) = KE(final)
where KE is the kinetic energy of the car at the final point (when it's halfway to the ground).
So, substituting the values we have:
50,000,000 J = KE
We now know that the car has 50,000,000 J of kinetic energy when it's halfway to the ground.
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at the instant , the athlete is running with a constant speed of 2 m/s. determine the angular velocity at which the camera must turn in order to follow the motion.
In order for the camera to follow the motion of the athlete, it must rotate at an angular velocity of approximately 1.74 rad/s.
We assume that the athlete has a non-zero size, then we can estimate the radius of the athlete's body as follows. Let's say the athlete has a height of 1.8 meters and a width of 0.5 meters. Then, we can estimate the radius of the athlete's body as the average of the height and width, or:
r = (1.8 m + 0.5 m) / 2 = 1.15 m
Using this value of r, we can calculate the angular velocity of the camera as:
ω = v / r
= 2 m/s / 1.15 m
≈ 1.74 rad/s
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8. What is meant by the critical angle of a boundary of two materials? Show how to derive the critical
angle equation.
9. Explain how the concept of total internal reflection can be applied to optical fibres.
10. Give three advantages of using optical fibres for communication.
11. a) An optical fibre has a core and cladding with refractive indices of 1.52 and 1.40 respectively. Find
the critical angle for the boundary.
1. b) What angle of incidence would light need to be at for total internal reflection to happen at this
boundary?
(8) The critical angle of a boundary of two materials is the angle of incidence, measured from the normal to the surface.
The critical angle equation can be derived from Snell's law of refraction, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two materials.
(9) Total internal reflection can be applied to optical fibers by using it to confine light inside the fiber.
(10) Three advantages of using optical fibers for communication are:
Low attenuation, Immunity to electromagnetic interference and Large bandwidth.
(11. a) The critical angle for the boundary is 67 degrees.
(11. b) The angle of incidence is 90 degrees.
What is the critical angle for the boundary?The critical angle for the boundary can be found by using the critical angle equation derived from Snell's law.
Setting the refractive index of the first material (core) to 1.52 and the refractive index of the second material (cladding) to 1.40, we have:
sin(critical angle) = (1.40)/(1.52) = 0.92
The critical angle can be found using the inverse sine function:
critical angle = sin^-1(0.92) = 67.3 degrees
The angle of incidence at which total internal reflection occurs can be found by setting the angle of refraction to 90 degrees in Snell's law:
sin(90) = (1.52)/sin(angle of incidence)
Solving for the angle of incidence:
angle of incidence = sin^-1((1.52)/(1.40)) = 90 degrees.
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Answer:
The critical angle of a boundary of two materials is defined as the angle of incidence at which the angle of refraction becomes 90°, causing total internal reflection to occur. In other words, it is the minimum angle of incidence required for light to be completely reflected back into the material with the higher refractive index.
The concept of total internal reflection can be applied to optical fibres by using them to guide light through a core with a higher refractive index surrounded by a cladding with a lower refractive index. The light is completely reflected at the core-cladding boundary and guided along the fiber, allowing it to be transmitted over long distances without significant loss of signal. This is the basic principle behind optical fiber communication.
The advantages of using optical fibers for communication are:
High bandwidth: Optical fibers have a much larger bandwidth compared to traditional copper wires, allowing for much faster and more efficient communication.
Immunity to Electromagnetic Interference (EMI): Optical fibers are immune to EMI and do not emit electromagnetic radiation, making them more secure and reliable for communication.
Immunity to environmental factors: Optical fibers are less susceptible to environmental factors such as temperature, humidity, and water damage compared to copper wires, leading to fewer signal disruptions and failures.
a) The critical angle for the boundary can be found using the equation:
sin(Θc) = n2/n1
where n1 is the refractive index of the core (1.52) and n2 is the refractive index of the cladding (1.40). Plugging in these values, we find:
sin(Θc) = 1.40/1.52 = 0.921
Taking the inverse sine of both sides, we find the critical angle:
Θc = sin^-1(0.921) = 63.7°
b) For total internal reflection to happen at the boundary, the angle of incidence must be greater than the critical angle. Thus, the angle of incidence required for total internal reflection to occur is:
Θ = Θc = 63.7°
Civilian los operations are usually conducted on the ___ mhz, ____ ghz, or the ____ ghz radio frequencies
Civilian los activities are often carried out on the9.15 mhz, 2.45 ghz, or 5.8ghz radio frequencies.
The oscillation rate of an alternating electric current or voltage, or of a magnetic, electric, or electromagnetic field, or of a mechanical system in the frequency range of roughly 20 kHz to around 300 GHz, is referred to as radio frequency (RF). This is about between the upper and lower limits of audio and infrared frequencies; these are the frequencies at which energy from an oscillating current may radiate into space as radio waves. Different sources offer different upper and lower frequency limitations.
The flow of electricity
Electric currents that oscillate at radio frequencies (RF currents) have particular features not shared by direct current or lower audio frequency alternating current, such as the 50 or 60 Hz current utilized in electrical power distribution. RF currents in conductors can radiate energy into space as electromagnetic waves (radio waves). This is the fundamental principle of radio technology.
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