According to the given statement a river has an average 3 * 10⁵ W is its discharge.
What is velocity definition with example?The scalar metric of speed and direction of motion is known as velocity. The speed that an object goes in one side is known as its velocity. Speed may be used to calculate both the vehicle speed traveling north just on main freeway and the velocity of a explosion bursting in space.
Briefing:Water's speed is 2 m/s.
Flow area = 5m x 15m = 75m²
Water has a density of 1000 kg/m³
The volume of water flowing per second in the continuity equation is written as v=Av.
Hence, mass of water m=vρ=Avρ
K.E. = 1/2 mv² = 1/2 Avρ²
K.E. = 1/2 Avρ³
ρ = 1/2 Avρ³
ρ = 1/2 * 75 * (2)³ * 1000
ρ = 3 * 10⁵ W
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What are two things that happen when a home computer scanner uses electromagnetic waves.
When a home computer scanner employs electromagnetic waves, two things happen:
A silicon chip inside the charge-coupled device releases electrons via the photoelectric effect, creating an image.
A charge-coupled device needs to receive visible light after it has bounced off an object.
Electromagnetic waves: what are they?
By varying the wave's amplitude, frequency, or phase, electrical signals can be transmitted across electromagnetic waves. To transfer music and video between televisions and mobile devices, the signal is converted into a series of binary ones and zeros.
A type of radiation that moves in waves at the speed of light is called electromagnetic energy. Light, electromagnetic radiation, electromagnetic waves, radiant energy, or the movement of radiation are some other names for it. Electromagnetic field radiation can be used to transfer heat.
An electric field and a magnetic field oscillate to create electromagnetic waves, or EM waves. In other words, the oscillation of the magnetic and electric fields results in electromagnetic waves.
At the speed of light, they all move. In the process of transferring energy via a medium, the material's atoms absorb and emit wave energy .Mechanical waves. require a medium to pass through in order to transmit their energy from one location to another.
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Kieran is driving his chevrolet spark around a level turn with a radius of curvature of 70. 9 m at a speed of 22. 4 m/s. Calculate the acceleration of the car.
The Chevrolet Spark accelerates at 7.1 m/s around a flat turn with a radius of curvature of 70.9 m at a speed of 22.4 m/s.
Describe acceleration.The rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates.
A is the centripetal acceleration, and V is the linear velocity.
Radius v = 22.4 m/s
Radius = 70.9 m
a = 22.42 / 70.9 m a
a = 7.1 m/s / s
Centripetal acceleration is the term used to describe the speed of a body rotating in a circle. A vector quantity, that is. It is represented as m/s2.
Consequently, the car's acceleration is 7.1 m / s
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suppose an experiment determines that the amount of work required for a force field f to move a particle from the point s1, 2d to the point s5, 23d along a curve c1 is 1.2 j and the work done by f in moving the particle along another curve c2 between the same two points is 1.4 j. what can you say about f? why?.
The force of moving a particle is 0.00262 N.
The electric field exerts force on a charged particle when it shifts from one position to another while moving through the same electric field. We can define a potential energy for the force produced by an electric field because it is conservative work. This enables us to analyze physical processes involving charged particles and electric fields using the concepts of work, energy, and the conservation of energy.displacement is (1,2) to (5,23)
Work is 1.2 J
[tex]Work =Force * Displacement\\\\Force= Work/Displacement[/tex]
F=1.2/[(X-x)²+(Y-y)²]
F=1.2/457
F=0.00262 N
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in our milky way galaxy, the orion spur is the select an answer and submit. for keyboard navigation, use the up/down arrow keys to select an answer. a closest arm to the central bulge. b closest arm to our sun. c farthest arm from the central bulge.
According to the given information in our milky way galaxy, the orion spur is closest arm to our sun.
Where is the central bulge?A vast disc of stars has an element of stars in the centre. Even though there are many spiral galaxies that share this characteristic, researchers have spent decades trying to figure out how and when the Way Way for sure central bulge may have developed. A spiral galaxy is the Spiral Galaxy. We think it has four large arms, several lesser arm segments, and a central bulge.
What type of galaxy has a central bulge?A spiral known universe structure is intricate; it consists of a revolving disc with a spiral architecture that originates at a dense central bulge. Halos, which are roughly spherical regions along each plane of the discs, encircle spiral galaxies and are sparsely inhabited.
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A car, mass 1225 kg, traveling at 105 km/h, slows to a stop in 53 m. What is the size of the force that acted on the car
The force acting on the car is 9700N.
First, the speed has to be converted to m/s units (SI)
105 km/h x 1000m/3600s ≅ 29 m/s
Then, using kinematics, we must determine the acceleration to determine the force. Kinematics is the area of mechanics that studies pure motion without taking into account the masses or forces at play, likewise known as applied kinematics. The concept of mechanical devices that change one type of motion into another.
[tex]V_{final^{2} } = V_{intial^{2} } + 2ax[/tex]
[tex]29^{2} = 0^{2} + 2 * a * 53[/tex]
a ≅ [tex]7.9\frac{m}{s^{2} }[/tex]
Using equation,
F = ma
F = 1225 x 7.9
9677 N ≅ 9700 N
Therefore, The force acting on the car is 9700N.
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the nuclear force is group of answer choices long range and charge independent electromagnetic in nature. short range and charge dependent. short range and charge independent. long range and charge dependent
The term "short range forces" refers to nuclear forces. Due to the fact that nuclear forces only work over relatively short distances, such as 1 fermi or 10-15 m.
This means that option a) is the appropriate response.
What is the nature of nuclear force?
The nuclear force is electromagnetic in nature, with a vast range and no charge. charge dependent and limited range. limited range and independent of charging. extended and charge-dependent
A force known as the nuclear force interacts with the protons and neutrons of atoms. The force that holds protons and neutrons in a nucleus together is known as the nuclear force. Protons and protons, neutrons and neutrons, or neutrons and neutrons can all be affected by this force.
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I understand that the question you are looking for is:
The nuclear force is:
a) short range and charge independent electromagnetic in nature.
b) long range and charge dependent.
c)short range and charge independent.
d)long range and charge dependent
how much excess charge must be placed on a copper sphere 25.0 cm in diameter so that the potential of its center is 3.75 kv ?
The excess charge required to reach the given potential is 4.6 x 10-6 C.
What is potential?
Potential typically refers to a skill that is still being developed. The phrase is used in a wide range of disciplines, from physics to a social sciences, to describe things that are capable of changing in a variety of ways, from the straightforward release of energy besides objects to the realisation of abilities in people. In his works Physics, Ontology, Nicomachean Ethics, as well as De Anima, which deals with the human psyche, the philosopher Aristotelian incorporated this idea in to the his theory of potentiality as well as actuality, a pair of interconnected principles he used to analyse motion, causality, ethics, as well as physiology.
The charge required to reach the given potential is given by the formula
Q = 4πεrV
Where Q is the charge, ε is the permittivity of free space, r is the radius of the sphere, and V is the potential.
Plugging in the given values, we get
Q = 4π(8.85 x 10-12 F/m)(0.125 m)(3.75 x 103 V)
Q = 4.6 x 10-6 C
Therefore, the excess charge required to reach the given potential is 4.6 x 10-6 C.
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A 500 kg empty elevator moves with a downwards acceleration of 2 m/s2. What is the tension force of the cable on the elevator?
The tension force of the cable on the elevator is 4000N.
From the question,
Mass of an elevator(m) = 500kg
It is accelerating downhill at a rate of [tex]2\frac{m}{s^{2} }[/tex]. It is necessary to determine the tension force of the cable on the elevator. We know that the net force on the elevator when it is traveling downhill is provided by:
F = m(g - a)
Here, g is the acceleration due to gravity
g = [tex]9.8\frac{m}{s^{2} }[/tex]
g ≅ 10[tex]\frac{m}{s^{2} }[/tex]
F = 500 × (10 - 2)
F = 500 × 8
F = 4000N
Therefore, the tension force of the cable on the elevator is 4000N.
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Why do astronomers suspect that a supernova explosion occurred near the nebula that gave birth to the solar system?.
Answer:
Meteorites Contain Magnesium-26
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does it take the same amount of time for something at a steeper angle to fall than something at a less steep angle
The starting vertical velocity determines the time in the air. Increasing the relevant results lengthens the duration in the air because higher release degrees have a better and improve velocity component.
Why does physics recommend a launch angle of 45 degrees?
We see that for the lengthiest punts 2 = 90 degrees and, consequently, = 45 degrees because the sine function has an intake average of 90 degree that results in its highest output value, 1. In other words, a projectile moves and furthest when it is fired at a 45-degree angle.
Which direction has lowest range?
Range reduces with increasing projection angle.
The reach will be at its narrowest when the projected angle is extremely distant from 45 degrees.
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Nuclear decay occurs according to first-order kinetics. What is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes?.
3.10 minutes is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes.
What is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes?For first order kinetics, t = 2.303/λ log[N₀]/[Nt]
Also, t₁₁₂ = 0.693/λ
λ = 0.693/t₁₁₂
From above equation:
t = 2.303 ÷ 0.693/t₁₁₂log[N₀]/[Nt]
t₁₁₂ = 0.693 × t/2.303 × log[N₀]/[Nt]
t₁₁₂ = 0.693 × 2.50/2.303 × log[55.9]/[31.7]
t₁₁₂ = 1.73/0.557
t₁₁₂ = 3.10
Therefore, 3.10 is the correct answer.
Which equation yields a first order process's proper integrated rate law?ln[A] t = -kt + ln[A] 0 is the integrated rate rule for the first-order reaction A's products. A straight line is produced when the natural log of [A] is plotted as a function of time because this equation has the form y = mx + b.
What is nuclear decay?The collection of diverse processes known as radioactive decay are how an unstable atomic nucleus spontaneously emits subatomic particles. According to theory, a daughter nucleus is created when the parent nucleus decays.
What is meant by first - order kinetics?When a fixed percentage of the drug is excreted per unit of time, this is known as first order kinetics. The amount of drug in the body has a direct relationship to the rate of removal. The amount of medication eliminated per unit time increases with concentration. The medication concentration decreases by 50% for each half life.
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determine force p on the cable if the spring is compressed 0.025 m when the mechanism is in the position shown. the spring has a stiffness of k
Force P on the cable if the spring is compressed 0.025 m when the mechanism is in the position shown is 0.198 kN.
The force applied by a spring on objects joined to its finishes is corresponding to the spring's adjustment of a length away from its balance length and is constantly coordinated toward its harmonious position. F = - kx. The proportional constant k is known as the spring steady. It is a proportion of the spring's solidness. Assuming x is positive (uprooting to the right), the subsequent power is negative (toward the left), as well as the other way around. As such, the spring force generally acts to reestablish mass back toward its harmony position. Hence the force P on the cable is 0.198 kN if the spring is compressed 0.025 m when the mechanism is in the position shown.
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a 140 nf capacitor is used in a standard 120 volt ac circuit with a frequency of 60 hz, what is the capacitive resistance?
The capacitive resistance [tex]x_c[/tex] = 18956 ohms
as per given in the question,
a capacitor having a capacitance (c) is 140nf
the standard voltage of the ac circuit (v) is 120 volts
the frequency of the circuit (f) is 60 hertz
we need to find the capacitive resistance of the given circuit
The opposition offered by a capacitor to the flow of ac current in the ac circuit is known as capacitive resistance.
the formula to find capacitive resistance of the circuit is
[tex]x_c = \frac{1}{2\pi fc}[/tex] ----(1)
where
[tex]x_c[/tex] is the capacitive resistance
[tex]\pi[/tex] is a constant value 3.14
[tex]f[/tex] is the frequency
[tex]c[/tex] is the capacitance of the capacitor
[tex]c =140nf[/tex]
[tex]f=60hz[/tex]
[tex]v=120\ volt[/tex]
substitute all the values in equation (1) we get
[tex]x_c = \frac{1}{2(3.14)(60)(140\times10^{-9}) }[/tex]
=> [tex]x_c = \frac{1}{6.28(60)(140\times10^{-9}) }[/tex]
=> [tex]x_c = \frac{1}{376.8(140\times10^{-9}) }[/tex]
=>[tex]x_c = 1.8956\times10^{4}[/tex]
=>[tex]x_c[/tex] = 18956 ohms
the capacitive resistance is 18956 ohms
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The capacitive resistance of the capacitor is 18947 ohms.
The capacitive resistance of a capacitor is given by the formula:
Xc = 1 / (2πfc)
where:
Xc is the capacitive resistance in ohms
π is a constant with the value of 3.14
f is the frequency in hertz
c is the capacitance in farads
In this case, the capacitance is 140 nf, which is equal to 140 * 10^-9 farads. The frequency is 60 hz.
Plugging these values into the formula, we get:
Xc = 1 / (2π * 60 * 140 * 10^-9)
= 18947 ohms
A 140 nf capacitor is used in a standard 120-volt ac circuit with a frequency of 60 hz. The capacitive resistance of the capacitor is given by the formula Xc = 1 / (2πfc). Plugging in the values for capacitance, frequency, and pi, we get Xc = 18947 ohms. Therefore, the capacitive resistance of the capacitor is 18947 ohms.
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a 0.40 kg mass is attached to a 0.5 m string and displaced an angle of 12 degrees before it is released. 1. what is the initial potential energy of the pendulum? 2. what is the angular frequency of the pendulum? 3. what is the velocity of the pendulum at the lowest point in its swing? 4. what is the height of its displacement?
A pendulum is a weight released from a starting point so that it can swing freely. When a pendulum is displaced sideways it restores a force due to gravity that will accelerate it back toward the equilibrium position from the resting position.
How to find initial potential energy, angular frequency, velocity and height of displacement of a pendulum?
We know, m= 0.40kg
L=0.5m
Angle = 12°
i) Main answer is : initial potential energy = PE = mgh (1-cos∅)
= 0.9×9.81×0.5×(1-cos12°)
= 0.0429 J
ii)Main answer is: Angular frequency= W= √g/l
=4.43 rad/s
= 0.7 rev/s
iii) Main answer is : velocity of pendulum = V=√2gl(1-cos∅)
=0.46m/s
iv) Main answer is : height of displacement= h=L (1-cos∅)
=0.01m
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The pendulum's angular frequency is 4.42 rad/s, and its potential energy is 0.04 J. the pendulum's lowest in its swings has a speed of 0.44 m/s, a motion time of 0.010905 m, and a lateral distance of 0.1039 m.
What is potential energy, exactly?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or strained, its energy increases. If a steel ball is lifted above the ground as contrasted to falling to the ground, it has higher potential energy.
Briefing:Given data:
The associated mass is m=0.40kg.
The string measures L=0.5m in length.
Angle misplaced is equal to 12°.
(1). Calculate the potential energy of pendulum:
PE=mg[L−Lcosθ]
PE=0.40kg×9.8m/s[0.5m−0.5m×cos12°]
PE=0.04J
Consequently, the pendulum's potential energy is 0.04 J.
(2). Determine the pendulum's angular frequency:
[tex]\omega=\sqrt{\frac{g}{L}}[/tex]
Changing every variable in the aforementioned equation:
[tex]\omega=\sqrt{\frac{9.8 \mathrm{~m} / \mathrm{s}^2}{0.5 \mathrm{~m}}}[/tex]
ω = 4.42 rad/s
Consequently, the pendulum's angular frequency is 4.42 rad/s.
(4). Do the vertical displacement calculation:
[tex]x_V=L-L \cos \theta[/tex]
[tex]\begin{aligned}& x_V=0.5 \mathrm{~m}-0.6 \mathrm{~m} \cos 12^{\circ} \\& x_V=0.010905 \mathrm{~m}\end{aligned}[/tex]
Do the horizontal displacement calculation:
[tex]\begin{aligned}& x_H=L \sin \theta \\& x_H=L \sin 12^{\circ} \\& x_H=0.1039 \mathrm{~m}\end{aligned}[/tex]
The height of the horizontal displacement is therefore 0.1039 m, while the height of the deformation is 0.010905 m.
(3).Calculate the pendulum's rock bottom in its swing by using energy balance to determine its velocity.
KE = PE
[tex]\frac{1}{2} 0.40 \mathrm{~kg} \times v^2=0.04 \mathrm{~J}[/tex]
v = 0.44 m/s
Calculate the pendulum's velocity at its rock bottom in its swing, which is 0.44 m/s.
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what is the lift (in newtons) due to bernoulli's principle on a wing of area 89 m2 if the air passes over the top and bottom surfaces at speeds of 260 m/s and 180 m/s , respectively?
The lift in newtons due to Bernoulli's principle on a wing of area 89 m² is 22,704 N.
How to calculate lift force?According to this question, the following information are given:
Area of the wing = 89m²
Density of air = 1.29kgm³
Speed at the top surface (V2) = 260m/sec
Speed at the bottom surface (V1) = 180m/sec
According to Bernoulli's principle, force is given by the following expression: F = A × d × V2 - V1/2
Where;
F = force
A = area
d = density
F = 89 × 1.29 × (260² - 180²)/2
F = 1.29 × 17,600
F = 22,704 N
Therefore, the lift in newtons due to Bernoulli's principle on a wing of area 76 m² is 22,704 N.
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a small artery has a length of 1.6 ✕ 10−3 m and a radius of 2.4 ✕ 10−5 m. if the pressure drop across the artery is 1.8 kpa, what is the flow rate (in mm3/s) through the artery? (assume that the temperature is 37°c.)
The flow rate through the artery is 7.03*10-11 m3/s (measured in mm3/s). What is the flow rate through the artery in mm3/s if the pressure drop across the artery is 1.8 kpa?
How can I calculate flow rate?
To determine the flow rate represented as Q, which is equal to Q = V/t, we must define both the volume V and the instant in time that it is passing past represented by t. In addition, the relationship between flow rate and velocity is shown by the equation Q = Av, where A is the flow's cross-sectional area and v is its average velocity.
What three different flow rates are there?
Vacuum technology primarily deals with three forms of flow: viscous or continuous flow, molecular flow, and at the interface between these two.
Briefing:
Given,
Pressure Δp = 1.8 kPa
Viscosity μ = 2.03*10-3Pa
Subsituting the values in equation,
Δp = 8μLQ / π
Q = Δp × π / 8μL
Q=7.03*10-11 m3/s
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what is the pressure of the system when all the stopcocks are opened, assuming that the temperature remains constant? (we can neglect the volume of the capillary tubing connecting the bulbs.)\
Through a stopcock, this bulb was connected to a 0.5 liter evacuated bulb. When the stopcock was opened, the pressure at each location increased to 530 mm, but the temperature stayed the same.
The relationship between temperature and pressure for a given volume of gas is direct. Pressure increases in systems as temperature increases and vice versa. The Gay-Lussac's law specifies the relationship between a gas's pressure and temperature. the relationship between a gas's temperature and the force it applies to its container. Gay-Lussac's Law or Amontons' Law of Pressure-Temperature are two names for this. A gas will press more forcefully against its container as its temperature rises. By heating a gas, you can hasten the motion of its molecules. The pressure will rise and there will be more impacts on the container's walls.
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if you pull them back together the same distance and release them to start them swinging, what will you notice about the oscillations of the two children?
The motion of the lighter child would look faster than that of the heavier child, but both have the same period of oscillation.
Oscillation is a type of simple harmonic motion which involves the to and fro movement of an object. The oscillation takes place at a required time called the period of oscillation.
Since the swings are similar, the period of oscillation of the two children are the same and they would complete one oscillation in the same time. Though the oscillation of the lighter child seems faster than that of the heavy child, their masses does not affect the period of oscillation.
When a heavy object oscillates, its mass increases the drag or damping force, but not the period of oscillation. Thus, it oscillate slowly.
Therefore, we can notice about the oscillation that the motion of the child having light weight will be faster than the motion of child having heavy weight.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS :
At a playground, two young children are on identical swings. One child appears to be about twice as heavy as the other. Part A If you pull them back together the same distance and release them to start them swinging, what will you notice about the oscillations of the two children]
the swirling gas that collects around a compact object, as its binary companion transfers material to it, is called
The swirling gas that collects around a compact object, as its binary companion transfers material to it, is called NOT an event horizon.
NOT an event horizon is its binary counterpart, which transports matter to it.
What is an object in a sentence?
To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.
What is a picture or an object?
Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.
The object we are talking about here is the death of the star.
Starlight is impacted by atmospheric winds, as well as regions with varying temperatures and densities, when it enters our atmosphere. The night sky appears to sparkle because of the impact of the Earth's atmosphere.
When starlight reaches the atmosphere, it is affected by winds in the atmosphere and areas with different temperatures and densities. This causes the star's light to sparkle when seen from Earth.
But when they run out of fuel, they die and supernova happens.
Therefore here, the object, we are talking in context with star and the swirling gas that collects around a compact object, as its binary companion transfers material to it, is called NOT an event horizon.
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what was the key discovery that led to the identification and definition of the intense radio emitters known as quasars?
Strong emission lines in their visible spectra were found to be hydrogen lines with very high redshifts.
What is quasars ?A nearly disastrous attempt to observe a far-off radio source results in the discovery of the first quasar, also known as a quasi-stellar astronomical phenomenon.
Quasars produce as much energy from a volume as small as our solar system as more than 100 regular galaxies.
According to NASA, "quasars are some of the most brilliant and energetic objects in the entire universe, with the ability to emit hundreds or even thousands of times the energy output of our galaxy.
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if quasars often resemble little blue stars, what was it about them that so surprised astronomers when they were discovered?
Quasar is famous for being an intergalactic object which is billions of years away from the earth yet can still be seen, unlike the other star body, unlike giant galaxies.
Hence, the fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that "they must be intrinsically far more luminous than the brightest galaxies."
This condition, including other related evidence gotten in recent years concerning our galaxy, has shown that quasars are probably the central nuclei of very distant, very active galaxies.
The surprising thing was that quasars and active galaxies have a lot of mass in the center of the very small volume of the space.
Therefore, the surprising thing about quasars was that due to this mass and energy they are 100 times more luminous than Milky Way which means they have high recession velocity and a very large amount of red-shifting.
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Which factor is most important to keep the same when looking at the meniscus to compare the surface tension of different liquids?.
Temperature and impurities are most important factors to keep the same when looking at the meniscus to compare the surface tension of different liquids.
Define surface tension.
Surface tension is a characteristic of liquids brought on by an imbalance in molecular forces at their surfaces. The surface tension is also impacted by factors that influence the molecular forces. The liquid's nature, the environment it is in, and its purity all affect how much surface tension there is.
Impurities:
Impurities that are soluble: The surface tension may rise or fall if the contaminants are soluble. If the contaminants are less soluble, the surface tension of the liquid will be reduced. For instance, camphor lowers the surface tension of water because it is less soluble in water. On the other hand, when the contaminants are more soluble, the liquid's surface tension will rise.
Insoluble impurities :Dirt, grease, and other insoluble contaminants will reduce a liquid's surface tension.
Temperature:
As the temperature rises, the molecular attraction between liquid molecules weakens. As a result, liquid surface tension falls as liquid temperature rises.
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For a hydrogen atom, calculate the wavelength of light (in m) that would be emitted for the orbital transition of n(initial) = 3 to n(final) = 1. Submit an answer to four significant figures. The Rydberg constant is 1.09678 x 10⁷ m⁻¹.
The wavelength of the light emitted for the orbital transition from n = 3 to n = 1 is 0.975m.
For hydrogen, the wavelength of the light emitted for the orbital transition of n = 3 to n = 1 is given by,
1/λ = R(1/n²-1/n'²)
Where,
R is the Rydberg's constant,
n is the initial orbital,
n' is the final orbital,
Putting values,
1/λ = 1.097(1/1-1/9)
1/λ= 1.097 x 8/9
λ = 0.975 m.
Hence, the wavelength of the light emitted is 0.975m.
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consider two objects moving in uniform circular motion around two circular tracks of the same radius. if the linear speed of object 2 is 50\p% greater than the linear speed of object 1, then how does centripetal acceleration of object 2 compare to the centripetal acceleration of object 1?
Centripetal acceleration of object 2 with 1 is [tex]& a c_2=2.25 a c_1[/tex]
What is Centripetal Acceleration ?The pace at which a body moves through a circle is known as centripetal acceleration. When a body travels in a circle, its direction is constantly changing, which results in a change in velocity, which generates an acceleration because velocity is a vector quantity (i.e., it contains both a magnitude, the speed, and a direction).
By applying the formula for the Centripetal acceleration :
[tex]& a_c=\frac{v^2}{R} \\& a_{c_1}=\frac{v_1^2}{R} \\& a_{c_2}=\frac{v_2^2}{R} \\[/tex]
[tex]& \frac{a c_2}{a c_1}=\frac{v_2^2}{v_1^2}=\left(\frac{1.5 v_1}{v_1}\right)^2=2.25 \\[/tex]
[tex]& \left.a_{c_2}=2.25 a c_1\right) \\[/tex]
By Comparing the centripetal acceleration of two objects
Centripetal acceleration of object 2 with 1 is [tex]& a c_2=2.25 a c_1[/tex]
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A 80 g , 35-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 11 g ball of clay traveling horizontally at 2.3 m/s hits and sticks to the very bottom tip of the rod. To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?
The maximum angle measured from vertical is [tex]\theta=57^{o}}[/tex]
Calculation:-
Substituting values:
[tex]\small (1-\cos\theta)=\frac{\left (\frac{1}{3}(0.08\;kg)+(0.011\;kg) \right )\left (0.67168\;m/s \right )^{2}}{(0.011\;kg\times 9.8\;m/s^{2\times } 0.35\;m)}\small (1-\cos\theta)=0.4503\small \cos\theta=1-0.4503\small \cos\theta=0.5496\small \therefore \theta=\cos^{-1}\left (0.5496 \right )\small \boldsymbol{\therefore \theta=56.66^{o}}ROUNDING TO 2 SIGNIFICANT FIGURES:\small \boldsymbol{\therefore \theta=57^{o}}[/tex]
The maximum angle at which a given quantity of bulk goods can be conveyed in a given time even if the conveyor is tilted. Bulk material throughput generally decreases as the maximum angle is approached. The sum of the three angles of a triangle is 180 degrees.
Maximum Permissible Slope means the steepest slope of excavation that can be tolerated to prevent collapse under the most favorable field conditions, expressed as the ratio of horizontal distance to the vertical slope. The maximum elevation angle at solar noon is a function of latitude and declination.
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Which two options are reasons that electromagnetic waves are effective for use in communication devices?.
The two options are reasons that electromagnetic waves are effective for use in communication devices:
1. Electromagnetic waves can travel long distances with minimal energy loss.
2. Electromagnetic waves can easily be modulated to carry information.
What is electromagnetic wave?
In terms of physics, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel through space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of a electromagnetic spectrum. Electromagnetic waves, that are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. Due to the periodic alteration of the electric or magnetic field, electromagnetic radiation or waves are produced. Different wavelengths of the electromagnetic spectrum are produced depending on the manner in which this periodic change takes place and the power generated. Electromagnetic waves move at the speed of light, commonly abbreviated as c, in a vacuum.
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Answer:
Explanation:
Which two options are reasons that electromagnetic waves are effective for use in communication devices?.
a capacitor has a capacitance of 1.1 pf. what potential difference would be required to store 13 pc? answer in units of v.
The potential difference required to store 13pc charge is 11.72Volt if a capacitor capacitance value is 1.1pf.
Capacitance is a capability just of the math of the plan of the capacitor, e.g., the restricting surface region of the plates and the distance among them, and the permittivity of the dielectric material between the plates. For the vast majority dielectric materials, the permittivity and in this manner the capacitance, is autonomous of the likely distinction between the conduits and the absolute charge on them.
The SI unit of capacitance is the farad (image: F), named after the English physicist Michael Faraday. A 1 farad capacitor, when accused of 1 coulomb of electrical charge, has a possible distinction of 1 volt between its plates. The proportional of capacitance is called elastance.
We know that charge enclosed around capacitors=product of capacitance of capacitor and potential difference around the plates of capacitors, or
=>q=CV
We have C as 1.1pf and q as 13pc
Therefore,13=1.1×V
=>V=13/1.1
=>V=11.72Volt
Hence, value of potential difference is 11.72 Volt.
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A scuba diver fills her lungs to capacity (6.0 L) when 10.0 m below the surface of the water and begins to ascend to the surface. Assume the density of the water in which she is swimming is 1000 kg/{eq}m^3 {/eq} and use g = 10 m/{eq}s^2 {/eq}A. Assuming the temperature of the air in her lungs is constant, to what volume must her lungs expand when she reaches the surface of the water?B. What effect would the warming of the air in her lungs have on the volume needed when she surfaces?C. Assuming the temperature of the air in her lungs is constant, what effect does her ascent have on the vrms of the air molecules in her lungs?
The lungs of the scuba diver should expand to a volume of 12L, the volume of the air will increase in her lungs with increase in temperature on the surface and the rms speed of the velocity of air will not change in her lungs.
The density of the water is given to be 1000 kg/m³. The capacity of the lungs of the diver is 6L and she goes down will 10m in the water. We can assume the temperature of the water to be constant.
A. The pressure P₁ at the surface of water is 100000 Pa.
So, the pressure at the depth of 10m in water will be given by,
P₂ = 1000x10x10 + P₁
P₂ = 100000 + P₁
P₂ = 200000 Pa
Now, we can write,
P₁V₁ = P₂V₂
Putting values,
6 x 200000 = V₂ x 100000
V₂ = 12L.
So, her lungs should expand to 12L.
B. On the surface, the pressure will be constant, so, the warming of air will further increase the volume of air in the lungs.
C. The Vrms is given by,
Vrms = √(3RT/M)
So, if the temperature is constant, the Vrms will not change because the mass of the air will also be the same.
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this chapter considers a downhill race between a rolling sphere, a rolling cylinder, a rolling hoop, and a sliding particle. who wins?
According to the assertion, the sliding particle will dominate the downhill race between the rolling sphere, rolling cylinder, rolling hoop, and sliding particle.
What is sliding friction, exactly?Sliding friction is the resistance that any two items produce as they slide against one another. This friction, sometimes referred to as kinetic friction, is the force required to keep one surface moving along another.
Briefing : A sphere, a cylinder, and a hoop, all of mass M and radius R, are released from rest and roll down a ramp of height h and slopeθ. They are joined by a particle of mass M that slides down the ramp without friction.
for particle c = 0 where c is a constant that depends upon the object .
a=a (particle), rolling sphere c=2/5, a (cm) = 5/7a (particle) =0.71a (particle)
rolling cylinder ,c=1/2 ,a(cm)=2/3a (particle) =0.67a (particle), rolling hoop =0.50a (particle).
then we have ¹/₂ I cm ω² ₊¹/₂ Mv cm²=Mgh
ω=Vcm/R , Icm = cMR² where c is a constant that depends upon the object .
Mgh= ¹/₂(cMR²)(Vcm/R )+¹/₂M v cm² , therefore v cm =[tex]\sqrt2gh/\sqrt\ (1+c)[/tex]
therefore , v(particle)>v(sphere)>v(cylinder)>v(hoop)
and a (particle)>a(sphere)>a(cylinder)>a(hoop).
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what is the magnetic field in the middle of the capacitor plates at a distance d from the center, as a function of time t ? give your answer in terms of d , r , i0 , t , r , c , and any necessary constants.
That completely depends on the voltage wave-form that's being impressed across the capacitor
What is magnetic field and capacitor ?The area in which the force of magnetism acts around a magnetic material or a moving electric charge is known as the magnetic field. Moving electric charges and magnetic dipoles combine to form a magnetic field, which acts as a force field on other adjacent moving charges and magnetic dipoles.
A two-terminal electrical device known as a capacitor is capable of storing energy in the form of an electric charge. It is made up of two electrical wires that are spaced apart by a certain amount. Vacuum may be used to fill the space between the conductors, or a dielectric, an insulating substance, may be used instead.
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