Answer:
(B) hot air is lighter than cold air
P V = N R T ideal gas equation
If T (temperature) is smaller then N (number of moles) must be larger if other quantities remain constant,
a car is traveling with a velocity of 17.0 m/s on a straight horizontal highway. the wheels of the car have a radius of 48.0 cm. if the car then speeds up with an acceleration of 2.10 m/s for 5.10 s, find the number of revolutions of the wheels make during this period
The wheels make approximately 47.65 revolutions during the 5.10 s period.
What is Linear Speed?
Linear speed, also known as tangential speed, is the distance traveled by an object in a circular path per unit of time, measured in units such as meters per second (m/s) or kilometers per hour (km/h). It is the magnitude of the velocity vector of an object moving in a circular path at a constant speed, and is perpendicular to the centripetal acceleration vector.
The linear speed of the wheels is equal to the velocity of the car:
v = 17.0 m/s
The circumference of the wheels is:
C = 2πr = 2π(0.48 m) = 3.01 m
The angular speed of the wheels is related to the linear speed by:
ω = v/r
Therefore, the initial angular speed of the wheels is:
ω₀ = v/r = 17.0 m/s / 0.48 m = 35.42 rad/s
The final angular speed of the wheels after accelerating for 5.10 s at a constant rate of 2.10 m/s² is given by:
ω = ω₀ + αt
where α is the angular acceleration of the wheels. Since the wheels are assumed to roll without slipping, the linear acceleration of the car is equal to the angular acceleration of the wheels:
α = a/r = 2.10 m/s² / 0.48 m = 4.38 rad/s²
Substituting the given values into the equation for angular speed, we have:
ω = 35.42 rad/s + (4.38 rad/s²)(5.10 s) = 58.64 rad/s
The number of revolutions made by the wheels during this period is equal to the change in the angle of rotation of the wheels:
Δθ = ωt
Substituting the given values, we have:
Δθ = (58.64 rad/s)(5.10 s) = 299.58 rad
The number of revolutions is equal to the angle of rotation divided by 2π:
n = Δθ / 2π = 299.58 rad / 2π ≈ 47.65 revolutions
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A car travelling at 22.4 m/s skids to a stop in 2.55s. Determine the skidding distance of the car (assume uniform acceleration).
Answer:
Approximately [tex]28.6\; {\rm m}[/tex].
Explanation:
Let [tex]u[/tex] denote the initial velocity of the vehicle, and let [tex]v[/tex] denote the velocity of the vehicle after skidding. It is given that the initial velocity was [tex]u = 22.4\; {\rm m\cdot s^{-1}}[/tex]. Since the vehicle skidded to a stop, [tex]v = 0\; {\rm m\cdot s^{-1}}[/tex].
Let [tex]t[/tex] denote the duration of the skid. It is given that [tex]t = 2.55\; {\rm s}[/tex].
Under the assumption that acceleration is constant, SUVAT equations will apply.
Specifically, the SUVAT equation [tex]x &= (1/2)\, (u + v)\, t[/tex] will be satisfied. In this equation, the displacement of the vehicle is equal to average velocity times duration. This equation allows the displacement [tex]x[/tex] to be found from [tex]u[/tex], [tex]v[/tex], and [tex]t[/tex] without knowing the exact value of acceleration:
[tex]\begin{aligned}x &= \left(\frac{u + v}{2}\right)\, t \\ &= \left(\frac{22.4 + 0}{2}\; {\rm m\cdot s^{-1}}\right)\; (2.55\; {\rm s}) \\ &\approx 28.6\; {\rm m}\end{aligned}[/tex].
you are designing a spacecraft to a giant planet. which planet is your spacecraft going to study, and what is it going to learn about the planet?
A spacecraft is a vehicle that can travel into space. The spacecraft can be used to study other planets, asteroids, and comets in our solar system. Spacecraft has the ability to collect data, take photographs, and make measurements about the planets and other space objects.
What can you learn about a planet?With a spacecraft, scientists can learn a lot about planets. Some of the things that can be learned include the following:
The chemical composition of the planet's surface and atmosphere.The geology of the planet, such as mountains, valleys, and other features.How the planet rotates, and how long it takes to complete one rotation.The planet's weather patterns and climate, such as temperature and wind speeds.The planet's magnetic field, and how it interacts with the solar wind.The planet's moons and rings, and how they interact with the planet.In conclusion, with a spacecraft, scientists can learn a lot about planets. Information about a planet can vary depending on the planet.
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which of the following capacitors, each of which has plates of area a, would store the most charge on the top plate for a given potential difference v ? A. 2 vacuum with d
B. 2 plates with glass with d
C. 2 vacuum with d/2
D. 2 plates with air d/2
E. 2 plates with glass d/2
In this case, the plates of the d/2 have an area a and a separation of d, d/2, or 2d. The correct option D have separation of d/2 is the one that can store the maximum charge on its top plate.
Capacitance is the capability of an object to store an electrical charge. Capacitance is calculated as the ratio of the charge stored to the potential difference between the plates of the capacitor.Capacitance = Charge/ Potential differenceThe equation shows that the charge that can be stored on a capacitor plate increases when the capacitance of the capacitor is high.The capacitance of a capacitor is proportional to the plate area and inversely proportional to the separation between the plates. It implies that if the plate area of a capacitor increases, the capacitance increases and if the separation between the plates decreases, the capacitance increases.Considering the above information, option D has plates with air of separation d/2. Since the air between the plates has a lower dielectric constant, the capacitance of the capacitor decreases. So, the charge stored on the capacitor will increase as the capacitance decreases. Therefore, the capacitor with the separation of d/2 can store the maximum charge on the top plate for a given potential difference v. Hence, the correct answer is option D.Learn more about capacitors: https://brainly.com/question/13578522
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An asteroid Swift ha 3700 n on Earth what is the masa of the asteroid?
The mass of the asteroid Swift is approximately 377.55 kg.
What is mass?Mass can be best described as the amount of matter present in any object or body.
On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
To calculate the mass of the asteroid Swift, we will convert its weight from newtons to kilograms (kg), which is the unit of mass in the International System of Units (SI):
Weight = 3700 N
Acceleration due to gravity on Earth (g) = 9.8 m/s^2
Weight = Mass x Acceleration due to gravity
Mass = Weight / Acceleration due to gravity
Mass = 3700 N / 9.8 m/s^2
Mass = 377.55 kg
In conclusion, The mass of the asteroid Swift is approximately 377.55 kg.
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a ball is thrown upward in the air, and its height above the ground after seconds is feet. find the time when the ball will be traveling downward at feet per second.
The time required for the ball to travel downward at the feet per second will be 32 feet per second will be 1.5 seconds.
What is the time required by ball?The ball is thrown upward in the air, and its height above the ground after seconds is feet. To find the time when the ball will be traveling downward at feet per second. In order to find the time when the ball will be traveling downward at feet per second, it is required to find the velocity of the ball when it reaches the maximum height.
In order to find the velocity, we need to differentiate the given function of height with respect to time. Now let's differentiate the given function of height with respect to time. Differentiating the function of height with respect to time, we get:
h(t) = -16t² + 48t + 64 = -16(t - 3)² + 160
Differentiating h(t) with respect to time, we get:
h(t) = -32t + 48
We know that the ball is thrown upward, so the initial velocity is 48 feet per second, and the acceleration is -32 feet per second per second. The ball is at maximum height when the velocity becomes 0.
So,
0 = -32t + 48
32t = 48
t = 1.5 seconds
Hence, the time when the ball will be traveling downward at 32 feet per second is 1.5 seconds.
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Suppose a neutron star with a mass of about 1.5MSun and a radius of 10 kilometers suddenly appeared in your hometown. How thick a layer would Earth form as it wraps around the neutron star's surface? Assume that the layer formed by Earth has the same average density as the neutron star. (Hint: Consider the mass of Earth to be distributed in a spherical shell over the surface of the neutron star and then calculate the thickness of such a shell with the same mass as Earth. The volume of a spherical shell is approximately its surface area times its thickness: Vshell=4πr^2×h. Because the shell will be thin, you can assume that its radius is the radius of the neutron star.)Express your answer to two significant figures and include the appropriate units.
Earth would form a layer around the neutron star with a thickness of 6.2 km.
Mass of the neutron star = 1.5 MSun. Radius of the neutron star = 10 km. Let's assume that the layer formed by Earth has the same average density as the neutron star. Since the mass of the neutron star is 1.5 MSun, this means that Earth will wrap around the neutron star's surface in a spherical shell over the surface of the neutron star whose mass is equal to the mass of the Earth.
Let's first calculate the volume of the neutron star, VNS:VNS = (4/3)πr³= (4/3)π(10 km)³= 4,188.8 km³. We can now calculate the mass of the neutron star, MNS, using its average density, D, which is:
D = MNS / VNS 1.5 MSun = MNS / 4,188.8 km³. Therefore, MNS = (1.5 MSun)(4,188.8 km³) = 6,283.2 MSun.We know that the thickness, h, of the shell is needed to calculate the volume, Vshell, of the spherical shell with the same mass as Earth. The volume of a spherical shell is approximately its surface area times its thickness: Vshell=4πr^2.h, so we can now use the above equation to calculate h.h = Vshell / (4πr²)= MEarth / (D × 4πr²). Where MEarth is the mass of the Earth. MEarth = 5.97 × 10²⁴ kgD = MNS / VNS = (6,283.2 MSun) / (4,188.8 km³) = 1.50 × 10¹⁷ kg/km³r = 10 km. Putting in these values:h = (5.97 × 10²⁴ kg) / (1.50 × 10¹⁷ kg/km³ × 4π(10 km)²) = 6.2 km.
Therefore, Earth would form a layer around the neutron star with a thickness of 6.2 km.
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all of the wavelengths of visible light combine to form
All the wavelengths of visible light combine to form white light.
What is visible light?
Visible light is made up of different wavelengths of electromagnetic radiation that range in color from violet (shortest wavelength) to red (longest wavelength). When all of the wavelengths of visible light are combined, they form white light.
This can be observed in various phenomena, such as the splitting of white light into its component colors when passing through a prism, or when white light is shone onto a surface and reflects back as white.
What is an electromagnetic radiation?
Electromagnetic radiation is a form of energy that travels through space as a wave, without the need for a medium to propagate. It is made up of electric and magnetic fields that oscillate perpendicular to each other and to the direction of the wave's travel.
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Complete question is: All the wavelengths of visible light combine to form white light.
Consult Multiple-Concept Example 10 in preparation for this problem. Traveling at a speed of 16.1 m/s, the driver of an automobile suddenly locks the wheels by slamming on the brakes. The coefficient of kinetic friction between the tires and the road is 0.720. What is the speed of the automobile after 1.30s have elapsed? Ignore the effects of air resistance.
The speed of the automobile after 1.30 seconds have elapsed is 15.164 m/s.
Given the following data,
we will have to calculate the velocity of the car after 1.30 seconds:
Initial velocity, u = 16.1 m/s
Final velocity, v =?
Time elapsed, t = 1.30s
Coefficient of kinetic friction, μk = 0.720
We will apply the law of motion, i.e., v = u - μkt
Where, v is the final velocity of the car after 1.30 seconds,
u is the initial velocity of the car,
μk is the coefficient of kinetic friction,
t is the time elapsed after 1.30 seconds
Given values,
u = 16.1 m/sμk = 0.720t = 1.30s
Substituting the given values in the equation,
we get v = 16.1 m/s - (0.720 x 1.30s)
v = 16.1 m/s - 0.936v = 15.164 m/s
Therefore, the speed of the automobile after 1.30 seconds have elapsed is 15.164 m/s.
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Use the radius-luminosity-temperature relation to calculate the radius of a red supergiant with temperature 3000 K and total luminosity 60000 times that of the Sun. (Sec. 17.3 in the textbook)Express your answer using two significant figures.R= ___________ AU
A red supergiant with a temperature of 3000 K and a total luminosity of 60000 times that of the Sun, using the radius-luminosity-temperature relationship the radius is 700 AU (to two significant figures).
The radius-luminosity-temperature relation can be used to calculate the radius of a red supergiant. Given a temperature of 3000 K and a total luminosity of 60000 times that of the Sun, the radius can be calculated as follows:
R = (L/Lsun)[tex]^{\frac{1}{2} }[/tex]* (Teff/Teff,sun)⁻²
where R is the radius of the star, L is the luminosity, Teff is the effective temperature, and Lsun and Teff, sun are the luminosity and effective temperature of the Sun, respectively.
Substituting the given values, we get:
R = (60000)[tex]^{\frac{1}{2} }[/tex] * (3000/5777)⁻²
R = 4657.88 AU
Therefore, the radius of the red supergiant is approximately 4700 AU (two significant figures).
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a solenoid with 400 turns has a radius of 0.040 m and is 40 cm long. if this solenoid carries a current of 12 a, what is the magnitude of the magnetic field at the center of the solenoid? select one: a. 15 mt b. 9.0 mt c. 16 mt d. 4.9 mt e. 6.0 mt
The magnetic field at the center of the solenoid is 15 mT
We are required to calculate the magnetic field at the center of the solenoid.
Number of turns in solenoid, N = 400
Radius of solenoid, r = 0.040 m
Length of solenoid, l = 40 cm = 0.4 m
Current passing through solenoid, I = 12 A
Magnetic field at the center of the solenoid can be calculated using the following formula: B = μ_0 n I
μ_0 is the magnetic permeability of free space which is equal to 4π × 10⁻⁷ Tm/A.
N is the number of turns per unit length of the solenoid.
n = N/l Where N is the total number of turns in the solenoid and l is the length of the solenoid.
Substituting the given values in the above formula: B = (4π × 10⁻⁷ Tm/A) × (N/l) × I
We know that l = 0.4 m and N = 400Therefore, n = N/l = 400/0.4 = 1000 turns/m
Now, substituting the values of N, l, n and I in the above formula we get:
B = (4π × 10⁻⁷ Tm/A) × (1000 turns/m) × (12 A) = 0.015 T = 15 mT
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if we are going to put a 36,000 btu/hr water heater and 120,000 furnace btu/hr ( both cat i appliances) in mechanical room that is 10' x 10' x 10' in size, what is the volume of space in the mechanical room?
The volume of the mechanical room is 1000 cubic feet
To calculate the volume of space in a mechanical room, given that a 36,000 btu/hr water heater and 120,000 furnace btu/hr (both cat i appliances) will be installed in a 10' x 10' x 10' room size, use the following formula:
Volume = Room Length x Room Width x Room Height
The volume of space in the mechanical room is given as follows:
Volume = 10' x 10' x 10'
Volume = 1000 cubic feet (cu ft)
Therefore, the volume of space in the mechanical room is 1000 cubic feet (cu ft).
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which compound in each set is aromatic? part a cyclopropene is a ring with three vertices and a double bond between the first and the second (clockwise) vertices. a cyclopropenyl cation is a ring with three vertices, a double bond between the first and the second (clockwise) vertices, and a positive charge at the third vertex. a cyclopropenyl anion is a ring with three vertices and a double bond between the first and the second (clockwise) vertices. there is a negative charge and a lone pair at the third vertex. cyclopropene is a ring with three vertices and a double bond between the first and the second (clockwise) vertices. a cyclopropenyl cation is a ring with three vertices, a double bond between the first and the second (clockwise) vertices, and a positive charge at the third vertex. a cyclopropenyl anion is a ring with three vertices and a double bond between the first and the second (clockwise) vertices. there is a negative charge and a lone pair at the third vertex. cyclopropene cyclopropenyl cation cyclopropenyl anion
Cyclopropene is a ring with three vertices and a double bond between the first and the second (clockwise) vertices.
A cyclopropenyl cation is a ring with three vertices, a double bond between the first and the second (clockwise) vertices, and a positive charge at the third vertex. A cyclopropenyl anion is a ring with three vertices and a double bond between the first and the second (clockwise) vertices. There is a negative charge and a lone pair at the third vertex. Cyclopropene is the only compound in the set that is aromatic.
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A circular coil lies flat on a horizontal table. A bar magnet is held above its centre with its north pole pointing down, and released. As it approaches the coil, the falling magnet induces (when viewed from above) ...no current in the coil.a clockwise current in the coil.a counter clockwise current in the coil.a current whose direction cannot be determined from the information provided
As the released bar magnet approaches the coil, the falling magnet induces a counter clockwise current in the coil.The direction of the induced current in the coil is counter-clockwise.
A magnetic field exists when there is a change in magnetic flux. The change in magnetic flux is due to the relative motion between the bar magnet and the coil. The bar magnet produces a magnetic field as it falls towards the coil. The change in magnetic flux is proportional to the rate of change of the magnetic field.
Faraday's law of electromagnetic induction states that when a magnetic field that varies with time is passed through a coil, an electromotive force (EMF) is induced in it. When the magnet is dropped through the coil, the magnetic field through the coil varies, inducing an EMF in it. The EMF causes an induced current to flow through the coil. The direction of the induced current is counter-clockwise.
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A 2100 kg truck has put its front bumper against the rear bumper of a 2400 kg SUV to give it a push. With the engine at full power and good tires on good pavement, the maximum forward force on the truck is 18,000 N. At this acceleration, what is the force of the SUV's bumper on the truck's bumper?
The force of the SUV's bumper on the truck's bumper would be 18,000 N.
The bumper on the truck is pushing the bumper of the SUV, which is acting as a reaction force back on the truck's bumper. According to Newton's Third Law, if the truck applies a forward force to the SUV, the SUV will apply an equal and opposite force back on the truck. Therefore, at this acceleration the force of the SUV's bumper on the truck's bumper would be the same as the forward force applied by the truck, which is 18,000 N.This is because the two vehicles are in contact with each other, so the force applied by one is equal and opposite to the force applied by the other.
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A__ is a measure of the electric power an appliance uses
An appliance's use of electricity is measured in watt (W). It displays the rate at which an electrical device uses energy while it is in operation. The power needed to generate one joule of energy per second is equal to one watt.
WattAn electrical device uses energy from the electrical power source that powers it when it is in use. Watts (W), a unit of power, is used to assess the rate of energy consumption. The pace at which one joule of energy is used up per second is equal to one watt.A 60-watt light bulb, for instance, means that when it is turned on, it uses energy at a rate of 60 joules per second. Similarly to this, when a fan with a 100-watt rating is switched on, it uses 100 joules of energy each second.An appliance's wattage can be found on its label or in its user manual.learn more about watt here
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the regular satellites of the giant planets formed via the process of
The regular satellites of the giant planets formed via the process of accretion from a circumplanetary disk.
The giant planets in our solar system, such as Jupiter, Saturn, Uranus, and Neptune, are surrounded by a system of moons, which are divided into two main categories: regular and irregular. The regular satellites are large, spherical, and have nearly circular orbits around their host planets. They are believed to have formed from a circumplanetary disk of gas and dust that surrounded the planet during its formation. The gravitational forces of the planet caused the material in the disk to accrete into small bodies, which eventually coalesced into the regular satellites we see today.
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action potentials do not stay in one place, they are _____ throughout the entire sarcolemma like ripples in a pond.a. repolarization
b. endemic
c. point-source
d. propagated
d. propagated. Action potentials spread over the whole sarcolemma like pond ripples, never remaining in one spot. This indicates that an action potential spreads or propagates down.
the length of the membrane after being originated at a single location in the membrane. The electrical charge of the membrane fluctuates in response to the flow of ions, causing a sequence of depolarizations and repolarizations that serve as the basis for this propagation. The transmission of nerve impulses and the contraction of muscles depend on the propagation of action potentials, This indicates that an action potential spreads or propagates down. which also enables quick and efficient communication inside the body.
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which researcher discovered the principles of classical conditioning?
The principles of classical conditioning were first discovered by Ivan Pavlov, a Russian physiologist, in the late 19th century.
Pavlov was conducting research on digestion in dogs when he observed that the dogs began to salivate at the sound of a bell that was regularly associated with the presentation of food.
This led him to develop the concept of conditioned reflexes, where a neutral stimulus (like the sound of the bell) could become associated with a meaningful stimulus (like the presentation of food) and elicit a response. Pavlov's research on classical conditioning laid the foundation for the study of learning and behavior, and his work has had a profound impact on psychology and other fields of study.
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When an arrow is shot from a bow, it has kinetic energy in it. From where does it get its kinetic energy?
An arrow shot from a bow gets its kinetic energy from the potential energy stored in the bowstring and limbs. When the bowstring is pulled back, it stores energy in the limbs as elastic potential energy.
What is kinetic energy?
Kinetic energy is defined as the energy an object has due to its motion. When an arrow is shot from a bow, it is set in motion and therefore has kinetic energy. The kinetic energy of the arrow depends on its mass and speed. The heavier the arrow, the more kinetic energy it has, and the faster the arrow, the more kinetic energy it has.
The energy stored in the bow is transferred to the arrow when the string is released and the limbs snap back to their original position. This causes the arrow to be propelled forward with a significant amount of kinetic energy.
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how many types of classifications are there for a lunar eclipse?
There are three types of lunar eclipses: total, partial, and penumbral.
During a total lunar eclipse, the moon is completely shadowed by the Earth, resulting in a reddish-brown color. In a partial lunar eclipse, only a portion of the moon is shadowed, while in a penumbral lunar eclipse, the moon passes through the Earth's outer shadow, resulting in a subtle darkening of the moon's surface. These classifications are based on the degree to which the moon passes through the Earth's shadow during the eclipse.
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Find the value of x. Round the length to the nearest tenth.
Answer:
well first u divide the numbers
Calculate the translational speed of a cylinder when it reaches the foot of an incline 7.20 m high. Assume it starts from rest and rolls without slipping.
Express your answer using three significant figures and include the appropriate units. Thank you!!
The translational speed of the cylinder when it reaches the foot of the incline is approximately 9.43 m/s.
We can use conservation of energy to solve this problem. The initial energy of the cylinder is all potential energy, and the final energy is all kinetic energy. The potential energy at the bottom of the incline is zero.
The potential energy of the cylinder at the top of the incline is given by:
PE = mgh
where m is the mass of the cylinder, g is the acceleration due to gravity, and h is the height of the incline. Substituting the given values, we get:
PE = (mass of cylinder) x (acceleration due to gravity) x (height of incline) = mgh
The kinetic energy of the cylinder at the bottom of the incline is given by:
KE = (1/2)mv^2
where v is the translational speed of the cylinder at the bottom of the incline.
According to the conservation of energy, the initial potential energy is equal to the final kinetic energy, so we can set these two expressions equal to each other:
mgh = (1/2)mv^2
We can cancel the mass of the cylinder from both sides, and solve for v:
v = sqrt(2gh)
Substituting the given values, we get:
v = sqrt(2 x 9.81 m/s^2 x 7.20 m) ≈ 9.43 m/s
Therefore, the translational speed of the cylinder when it reaches the foot of the incline is approximately 9.43 m/s.
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While analyzing smoke detector designs that rely on the photoelectric effect, you are evaluating surfaces made from each of the materials listed in (Figure 1). One particular application uses ultraviolet light with wavelength 273 nm
Photodetectors that rely on the external photoelectric effect are known as photoemissive detectors (sometimes spelled photoelectric detectors).
A photocathode of some kind is present in such a device, where incident light is partially absorbed to produce photoelectrons, which are released into free space.
The light reflected off of particles by a light beam inside the sensor chamber is used by smoke detectors to detect smoke. When there are no particles in the sensing chamber, the beam's light does not hit the light detector, signaling that everything is in order.
Ionization smoke alarms detect smoke from rapidly blazing fires, while photoelectric smoke detectors are best for detecting smoke from smoldering fires.
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two technicians are discussing the parallel circuit laws. technician a says the total resistance of a parallel circuit is always less than that of the lowest resistance leg. technician b says the voltage is the same for each leg of a parallel circuit. who is correct?
Technician B is correct, i.e., the voltage is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is the same across all components, but the current through each component varies.
The voltage, however, is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is equal to the voltage across the entire circuit, regardless of the number of branches in the circuit.
According to the question statement, two technicians are discussing the parallel circuit laws. Technician A says the total resistance of a parallel circuit is always less than that of the lowest resistance leg. Technician B says the voltage is the same for each leg of a parallel circuit. We need to find out who is correct.
Parallel Circuit: A parallel circuit is an electrical circuit that consists of two or more components connected across the same two points. Each of the components has the same voltage across them, but they do not have the same current passing through them. The current is split among each component, and the total current entering the circuit equals the total current leaving the circuit. Hence, Ohm's law is valid for each component in parallel. Two rules should be followed in a parallel circuit:1. The voltage across each component in a parallel circuit is the same, but the current through each component varies.2. The reciprocal of the total resistance in a parallel circuit is equal to the sum of the reciprocals of each resistance in the circuit. So, the statement by Technician B is correct, i.e., the voltage is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is the same across all components, but the current through each component varies. The statement by Technician A is not correct. The total resistance of a parallel circuit is less than the resistance of the smallest resistance leg. In a parallel circuit, the total resistance of the circuit is always less than the smallest resistor in the circuit. It is due to the inverse relationship between resistance and current: when resistance decreases, current increases. And since current divides in a parallel circuit, the total resistance is always less than any single resistance value. Therefore, technician A is incorrect.
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a piston cylinder containing air has an area of 0.011 m2 and a piston with a mass of 20.4 kg. if the atmospheric pressure is measured to be 102.3 kpa, what is the gauge pressure of the air inside the piston cylinder? the absolute pressure?
The gauge pressure of the air inside the piston cylinder is 21.849 kPa if the atmospheric pressure is measured to be 102.3 kpa .
What is gauge pressure ?The pressure relative to atmospheric pressure is known as gauge pressure. Gauge pressure is positive for pressures greater than atmospheric pressure and negative for pressures less than atmospheric pressure. In fact, atmospheric pressure increases the pressure in any fluid that is not contained in a rigid container. This occurs as a result of Pascal's principle.
Absolute pressure on piston = atmospheric pressure + pressure on piston
solving , 102.3 kPa
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The gauge pressure of the piston cylinder will be 17889.5 KPa and the absolute pressure of the piston cylinder will be 17991.8 KPa.
What is the gauge pressure?The gauge pressure inside the piston cylinder is calculated by subtracting the atmospheric pressure from the total pressure inside the cylinder. Therefore, the gauge pressure of the air inside the piston cylinder is calculated as follows:
Pgauge = Ptotal - Patm
Pgauge = F/A - Patm
Pgauge = (20.4kg × 9.8m/s²) / 0.011m² - 102.3 kPa
Pgauge = 17991.8 kPa - 102.3 kPa
Pgauge = 17889.5 kPa
The absolute pressure inside the piston cylinder is the sum of the atmospheric pressure and the gauge pressure. Therefore, the absolute pressure of the air inside the piston cylinder is calculated as follows:
Pabsolute = Pgauge + Patm
Pabsolute = 17889.5 kPa + 102.3 kPa
Pabsolute = 17991.8 kPa
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the diagram below shows four cannons firing shells with different masses at different angles of elevation. the horizontal component of the shell's velocity is the same in all four cases. in which case will the shell have the greatest range if air resistance is neglected? (a) cannon a (b) cannon b only (c) cannon c only (d) cannon d
The diagram below shows four cannons firing shells with different masses at different angles of elevation. the horizontal component of the shell's velocity is the same in all four cases. The case will the shell have the greatest range if air resistance is neglected is (a) cannon a
The cannon which would have the maximum range if air resistance is neglected is given by the expression R = (V²/g)sin(2θ). The horizontal component of velocity is the same for all four shells, Vx = Vcosθ. Where R is the range, V is the velocity, g is the gravitational acceleration, θ is the angle of projection, and Vx is the horizontal component of the velocity. The diagram below shows four cannons firing shells with different masses at different angles of elevation.
For the maximum range, we need to take the angle of projection to be 45°. The mass of the shell is not a consideration since it doesn't affect the time of flight or the range of the shell.Therefore, the maximum range is given by the highest value of V²sin(2θ)/g. As sin(90) = 1, sin(0) = 0, sin(30) = 1/2, sin(45) = √2/2, sin(60) = √3/2, sin(70) = 0.94, the maximum value of sin(2θ) is obtained when θ = 45°.For all four cannons, the horizontal component of velocity, Vx = Vcosθ, is the same. Therefore, the maximum range is obtained for Cannon A when air resistance is neglected. Therefore, the correct answer is (a) Cannon A.
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now consider the case of impending tipping. where do the normal force and friction force act in this case? a. at the midpoint of the bottom edge of the block. b. at the point directly below the center of gravity of the block. c. at the edge of the block closest to the top of the ramp. d. at the edge of the block closest to the bottom of the ramp. e. at an unknown point along the bottom edge of the block.
The normal force and friction force act at the point directly below the center of gravity of the block in the case of impending tipping.
Impending tipping occurs when the force of gravity acting on an object is unbalanced, causing it to start to tip over or become unstable.
When a solid object is about to tip over, the net torque about its center of gravity should be zero, or else it will fall.
In the case of impending tipping, the normal force and friction force act at the point directly below the center of gravity of the block.
When an object is about to tip over, the normal force (or the weight) acting on the center of mass should be equal to the maximum possible friction force at the base of the object.
Normally, a force is applied to the object that exceeds this friction force, causing the object to tip over.
When an object is about to tip over, the normal force (or the weight) acting on the center of mass should be equal to the maximum possible friction force at the base of the object.
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calculate the work done by gravity on the watermelon during its displacement from the roof to the ground
The work done by gravity on the watermelon during its displacement from the roof to the ground is 196 J.
The work done by gravity on the watermelon during its displacement from the roof to the ground can be calculated using the formula W = mgh, where W is the work done, m is the mass of the watermelon, g is the acceleration due to gravity and h is the height of the displacement.What is Work Done?Work done can be defined as the energy transferred when a force is applied to an object to move it over a certain distance. It is a scalar quantity and is measured in joules (J). The mass of the watermelon is not given in the question, so let us assume that the mass of the watermelon is 2 kg. The acceleration due to gravity, g is 9.8 m/s2, and the height of the displacement is not given in the question, so let us assume that the height of the displacement is 10 meters. Therefore, the work done by gravity on the watermelon during its displacement from the roof to the ground can be calculated as follows: W = mgh= (2 kg) (9.8 m/s2) (10 m)= 196J
Therefore, the work done by gravity on the watermelon during its displacement from the roof to the ground is 196 J.
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The angular speed of a rotating platform changes from
ω
0
=
2. 8
r
a
d
/
s
to
ω
=
8. 8
r
a
d
/
s
at a constant rate as the platform moves through an angle
Δ
θ
=
5. 5
r
a
d
i
a
n
s
. The platform has a radius of R = 28 cm.
(a) Calculate the angular acceleration of the platform.
(b) Calculate the tangential acceleration of a point on the surface of the platform at the outer edge.
(c) Calculate the final centripetal acceleration of a point at the outer edge of the platform
(a) The angular acceleration of the platform can be calculated using the formula:
α = (ω - ω0) / Δθ
where α is the angular acceleration, ω0 is the initial angular speed, ω is the final angular speed, and Δθ is the change in angle.
Substituting the given values, we get:
α = (8.8 rad/s - 2.8 rad/s) / 5.5 rad
α = 1.45 rad/s^2
Hence, the angular acceleration of the platform is 1.45 rad/s^2.
(b) The tangential acceleration of a point on the surface of the platform at the outer edge can be calculated using the formula:
at = R * α
where it is the tangential acceleration and R is the radius of the platform.
Substituting the given values, we get:
at = (0.28 m) * (1.45 rad/s^2)
at = 0.406 m/s^2
Hence, the tangential acceleration of a point on the surface of the platform at the outer edge is 0.406 m/s^2.
(c) The final centripetal acceleration of a point at the outer edge of the platform can be calculated using the formula:
ac = R * ω^2
where ac is the centripetal acceleration and ω is the final angular speed.
Substituting the given values, we get:
ac = (0.28 m) * (8.8 rad/s) ^2
ac = 67.686 m/s^2
Hence, the final centripetal acceleration of a point at the outer edge of the platform is 67.686 m/s^2.
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