The positive angular frequency ω that leads to maximum practical resonance depends on the specific system and its parameters. However, in general, the frequency that produces the maximum practical resonance is the natural frequency of the system.
This is the frequency at which the system vibrates with the highest amplitude when excited. To achieve maximum resonance, the driving frequency should be close to the natural frequency, but not exactly the same, as this can lead to instability and damage to the system. It is important to note that practical considerations, such as the limitations of the equipment and the desired performance, also play a role in determining the optimal frequency for maximum resonance.
To find the positive angular frequency (ω) that leads to maximum practical resonance, you'll need to consider the following terms: "frequency," "resonance," and "practical."
Resonance occurs when a system is driven at its natural frequency, resulting in an increase in amplitude. In this case, we are looking for the angular frequency, which is related to the regular frequency (f) by the formula ω = 2πf.
For maximum practical resonance, the driving frequency should match the system's natural frequency. To determine the natural frequency, you may need additional information such as the properties of the system (e.g., mass, spring constant, or damping coefficient).
In summary, to find the positive angular frequency (ω) that leads to maximum practical resonance, identify the system's natural frequency and match it to the driving frequency. Then, use the formula ω = 2πf to calculate the angular frequency.
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The north pole of a bar magnet is rapidly introduced into a solenoid at one end (say A). Which of the following statements correctly depicts the phenomenon taking place?
(a) No induced emf is developed.
(b) The end A of the solenoid behaves like a south pole.
(c) The end A of the solenoid behaves like north pole.
(d) The end A of the solenoid acquires positive potential.
Answer:
The correct option is;
(b) The end A of the solenoid behaves like a north pole
Explanation:
According to Lenz's law we have that the induced emf direction in the solenoid due to the rapid introduction of the bar magnet will be such that the electric current induced will have a resultant magnet field that will oppose to the movement of the north pole of the bar magnet that resulted in the magnetic field
Therefore, the opposing magnetic pole to the north pole of a magnet is a north pole and the solenoid end A will act like the north pole.
You calculated a equivalent capacitance of 0.72 μF ± 0.08 μF. If the manufacturer has labeled the capacitor as 0.5 μF ± 10%, is this consistent with your result?
To determine if the manufacturer's label is consistent with your calculated equivalent capacitance of 0.72 μF ± 0.08 μF, we need to compare the ranges of the values.
1. Determine the manufacturer's label range:
The manufacturer labeled the capacitor as 0.5 μF ± 10%. To find the range, we will calculate 10% of 0.5 μF.
0.5 μF * 10% = 0.05 μF
The range of the manufacturer's label is 0.5 μF ± 0.05 μF, meaning it could be between 0.45 μF and 0.55 μF.
2. Determine your calculated range:
You calculated the equivalent capacitance as 0.72 μF ± 0.08 μF. This means your calculated range is between 0.64 μF and 0.8 μF.
3. Compare the ranges:
Manufacturer's range: 0.45 μF to 0.55 μF
Your calculated range: 0.64 μF to 0.8 μF
Since there is no overlap between the two ranges, the manufacturer's label of 0.5 μF ± 10% is not consistent with your calculated result of 0.72 μF ± 0.08 μF.
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Equal in number to the number of protons
Answer:
atomic number (Z)
Explanation:
The atomic number (Z) is equal to the number of protons in the nucleus. In a neutral atom, the number of protons is equal to the number of electrons. The mass number of an atom (M) is equal to the sum of the number of protons and neutrons in the nucleus.
HOPED THIS HELPED!!!!!
Two airplanes leave an airport at the same
time. The velocity of the first airplane is
690 m/h at a heading of 68.5
◦
. The velocity
of the second is 590 m/h at a heading of 156◦
.
How far apart are they after 1.8 h?
Answer in units of m.
The distance between first airplane and second airplane after 1.8 hours of their departure is 1598.22 meters.
What is cosine formula for vector addition?The cosine formula for vector addition is -
|R|² = |A|² + |B|² + 2AB cosφ
Where - φ is the angle between vectors A and B.
Given is two airplanes that leave the airport at same time. The velocity of the first airplane is 690 m/h at a heading of 68.5°. The velocity of the second airplane is 590 m/h at a heading of 156°.
The length of the position vector of first airplane →
|OA| = velocity x time = 690 x 1.8 = 1242 miles.
The length of the position vector of second airplane →
|OB| = velocity x time = 590 x 1.8 = 1062 miles
Angle between vectors OA and OB →
φ = 156° - 68.5° = 87.5°
In the triangle ΔOAB, using the triangle law of vector addition, we get →
OA + AB = OB
AB = OB - OA
AB = OB + (- OA)
Now, using the formula for resultant of addition of two vectors →
AB² = (OB)² + (- OA)² + 2(OA)(- OB) cosφ
AB² = OB² + OA² + - 2(OA)(OB)cosφ
AB² = 11,27,844 + 15,42,564 - 2 x 1242 x 1062 x cos(87.5°)
AB² = 11,27,844 + 15,42,564 - 2 x 1242 x 1062 x 0.044
AB² = 26,70,408 - 1,16,072.352 = 25,54,335.648
AB = √25,54,335.648
AB = 1598.22 meters
Hence, the distance between first airplane and second airplane after 1.8 hours of their departure is 1598.22 meters.
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When work is done by a system, does the internal energy of the system increase or decrease?
Decrease
Explanation:The mathematical relationship between heat, internal energy and work done by the system is given as:
△U = Q + W
where △U is the change in the internal energy
W is the workdone by the system
Q is the heat energy in the system
Since the workdone by the system is negative, when a system does work, there is a depletion in the amount of energy possessed by the system.
Due to this loss of energy by the system as a result of the workdone, the internal energy decreases.
What is the tendency of an object to resist a change in velocity called?
The tendency of an object to resist a change in velocity is called inertia. It is the resistance of an object to a change in its direction or speed of motion.
This property of matter is explained by Newton's First Law of Motion, which states that an object at rest or in motion will remain in that state unless an external force acts on it.
Inertia is the basis for the concept of momentum, which is the product of an object's mass and velocity.
When an object is in motion, it has momentum and is resistant to any change in its velocity. This is because it has inertia, which is the tendency of an object to resist a change in motion.
Inertia is an important concept in physics and is essential for understanding the motion of objects in the universe.
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draw a model diagram to represent water
Answer:
hope this will help
please give brainliest if correct
A plastic rod is charged up by rubbing a wool cloth, and brought to an initially neutral metallic sphere that is insulated from ground. It is allowed to touch the sphere for a few seconds, and then is separated from the sphere by a small distance. After the rod is separated, the rod:.
After the rod is charged and then touched on the neutral metallic sphere and then separated from it, the rod is repelled by the sphere. Option A
What is a static charge?There are very ways in which a static charge could be built up in an object. The ways include;
FrictionElectrostatic induction and ContactNow, after the rod is charged and then touched on the neutral metallic sphere and then separated from it, the rod is repelled by the sphere.
Missing parts;
A plastic rod is charged up by rubbing a wool cloth, and brought to an initially neutral metallic sphere that is insulated from the ground. It is allowed to touch the sphere for a few seconds, and then is separated from the sphere by a small distance. After the rod is separated, the rod
A. is attracted by the sphere
B. is repelled by the sphere
C. feels no force due to the sphere
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All of the halogens are____to humans.
poorly reactive and not dangerous very reactive, but not dangerous very reactive and dangerous • poorly reactive, but dangerous
Answer:
b bc they are a dangerous threat to humans health
earth's magnetosphere is generated by question 12 options: 1) dynamo-like motions in earth's interior. 2) nuclear fusion in earth's core. 3) nuclear fission in earth's core. 4) gravitational accretion.
Earth's inner movements resemble dynamos and produce the magnetosphere. The magnetosphere of Earth is a dynamic, networked system that reacts to solar, planetary, and interstellar circumstances.
The area surrounding a planet where the magnetic field of the planet is dominant is called a magnetosphere. All of the rocky planets in our solar system have magnetospheres, but Earth's is the strongest. The enormous, comet-shaped bubble that makes up Earth's magnetosphere has been essential to the planet's capacity to support life. This magnetic environment has protected life on Earth from its inception and continues to do so. The magnetosphere protects our planet from solar and cosmic ray radiation as well as the solar wind's steady stream of charged particles that stream off the sun, which may erode the atmosphere.
Due to the convective motion of charged,
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does the international space station have gravitational pe? ke? explain.
The International Space Station (ISS) has both gravitational potential energy (PE) and kinetic energy (KE). PE is the energy an object possesses due to its position in a gravitational field, while KE is the energy an object possesses due to its motion. Both energies are essential for the ISS to maintain a stable orbit.
The International Space Station (ISS) orbits Earth at an altitude of approximately 408 kilometers. While it is true that the ISS is in a state of constant freefall, it still experiences gravitational force due to Earth's gravitational pull. This gravitational force allows the space station to remain in its orbit, otherwise, it would drift off into space. The ISS has both potential energy (PE) and kinetic energy (KE) due to its orbit around the Earth. PE refers to the energy an object possesses due to its position, while KE refers to the energy an object possesses due to its motion. In the case of the ISS, its potential energy is determined by its distance from Earth's surface, and its kinetic energy is determined by its velocity as it orbits the planet. Thus, the ISS has both gravitational potential energy and kinetic energy.
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In a gas equation, (P+a/v²)(v-b)=RT... What are the dimensions of a
Answer:
The dimensions of a is L⁵·M·T⁻²mol⁻²
Explanation:
The gas equation for a real gas, can be presented as follows;
\(\left (P + \dfrac{n^2 \cdot a}{V^2} \right) \cdot \left (V - n \cdot b\right) = R \cdot T\)
Where;
P = The pressure
V = The volume
a = A constant representing intermolecular forces
b = A constant representing molecular volume
n = The number of moles
The dimensions of the expression \(P + \dfrac{n^2 \cdot a}{V^2}\) is in units of pressure, given that 'P' is in units of pressure, bar, therefore, the expression, \(\dfrac{n^2 \cdot a}{V^2}\), is also measured in units of pressure
The dimensions of pressure, P = M·L⁻¹·T⁻²
'n²' unit dimension is mol², while V² is measured as liter² (L³), therefore, 'a' will convert the units of n² and V² to bars, therefore, we have;
The unit dimension of a = L²·bar/(mol²)
(L³)²·(M/(L·T²))/(mol²) = L⁵·M·T⁻²mol⁻²
The dimension of a = L⁵·M·T⁻²mol⁻²
Where;
L = Length in meters
T = Time in seconds
M = Mass in kilogram
Which planetary body has the fastest orbit, and which has the slowest orbit? Do you notice a general pattern here? Briefly explain a relationship between orbital velocity and orbital radius.
The planetary body with the fastest orbit is Mercury, and the one with the slowest orbit is Neptune.
There is a general pattern between orbital velocity and orbital radius known as Kepler's second law of planetary motion. According to this law, a planet sweeps out equal areas in equal times as it orbits the Sun. This implies that planets closer to the Sun have smaller orbital radii and must travel faster to cover the same area in the same amount of time.
The relationship between orbital velocity and orbital radius can be expressed as v ∝ 1/r, where v represents the orbital velocity and r denotes the orbital radius. This relationship shows that as the orbital radius increases, the orbital velocity decreases. In other words, planets farther from the Sun have slower orbital velocities compared to those closer to the Sun.
This pattern is consistent with observations in our solar system. The inner planets, such as Mercury, have smaller orbital radii and faster orbital velocities, while the outer planets, like Neptune, have larger orbital radii and slower orbital velocities.
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Hurry please I don’t have long for this for a test !!!
Which object has the least amount of inertia? *
A. Tennis ball (60 g)
B. Bowling ball (5000 g)
C. Beach ball (109)
D. Golf ball (50 g)n 4
13. Who named out seventh month?
Answer:
it was the gods of war.....
Answer:
juliest and august cesar
Explanation:
if a current is in a loop of wire and also in a magnetic field--the loop wants to ___.
If a current is in a loop of wire and also in a magnetic field, the loop wants to rotate.
This phenomenon is known as the principle of operation of a DC motor. The current-carrying loop placed in a magnetic field experiences torque, and this torque will cause the loop to rotate.
A DC motor is a type of electric motor that converts electrical energy into mechanical energy. It works on the principle that a current-carrying conductor in a magnetic field experiences a force that causes it to rotate. It consists of a stator, which generates a magnetic field, and a rotor, which carries the current and rotates.
The commutator is a device that allows the current to flow in the correct direction through the rotor windings. As the rotor rotates, the brushes on the commutator change the direction of the current flow, allowing the rotor to continue to rotate.
The speed of the DC motor can be controlled by varying the applied voltage or the strength of the magnetic field. The direction of rotation can be reversed by reversing the polarity of the applied voltage or by changing the polarity of the magnetic field.
DC motors are used in a variety of applications, including electric vehicles, robotics, and industrial machinery.
In summary, when a current-carrying loop is placed in a magnetic field, it experiences a torque that causes it to rotate. This principle is the basis for the operation of a DC motor.
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compared with angle theta, the angle of refraction of the ray emerging from plate y into the air will be
Compared with angle theta, the angle of refraction of the ray emerging from plate y into the air will be greater than the angle of incidence because the refractive index of the glass is greater than that of air.
When a light ray passes through a glass slab of given thickness, the deviation is primarily dependent on the angle of incidence (angle i), the angle of refraction (angle r), and the thickness of the glass slab t. The angle of refraction of the ray emerging from plate y into the air will be greater than the angle of incidence because the refractive index of the glass is greater than that of air.
When a light beam passes from a medium with a high refractive index to a medium with a low refractive index, it is refracted away from the normal. When light travels from air to glass, the speed decreases and the direction changes. Since the refractive index of air is lower than the refractive index of glass, the angle of refraction will be greater than the angle of incidence. Therefore, the angle of refraction will be greater than the angle of incidence as the light passes from glass to air.
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A student standing on the ground throws a ball straight up. The ball leaves the student's hand with a speed of 11 m/s when the hand is 1.8 m above the ground. How long is the ball in the air before it hits the ground? (The student moves her hand out of the way.)
The ball is in the air for about 1.8 seconds before it hits the ground after it leaves the student's hand with a speed of 11 m/s when the hand is 1.8 m above the ground.
Projectile motion is a kind of movement experienced by an object or particle (a projectile) that is projected near the Earth's surface and moves along a curved path under the gravity of the Earth. In general, projectile motion refers to a free-body's motion influenced only by gravity. A student throws a ball straight up while standing on the ground. When her hand is 1.8 m above the ground, the ball leaves her hand at a speed of 11 m/s. The time the ball is in the air before it hits the ground is calculated as follows:Using the equation:
∆y = v0yt + 1/2gt² Where ∆y is the displacement (in this case, -1.8 m) of the projectile along the vertical axis, v0y is the initial vertical velocity (in this case, 11 m/s), t is the time of flight, and g is the acceleration due to gravity (9.81 m/s²):-1.8 m = (11 m/s)t + (1/2)(-9.81 m/s²)t².Rearranging the equation, we get:-4.905t² + 11t - 1.8 = 0.
Using the quadratic formula, we get:t = (-11 ± sqrt(11² - 4(-4.905)(-1.8))) / (2(-4.905))= 1.77 s or t = 0.20 s. Since the ball is in the air for approximately 1.77 s before it hits the ground, and the student's hand is 1.8 m above the ground, the ball is in the air for about 1.8 seconds before it hits the ground. Therefore, the correct answer is the option C, 1.8 seconds.
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Which of the following is an example of a dry lubricant? oil grease graphite petroleum
ANSWER ASAP WILL GIVE BRAINLIEST!
Answer:
Dry lubricants or solid lubricants are materials that, despite being in the solid phase, are able to reduce friction between two surfaces sliding against each other without the need for a liquid oil medium.
Explanation:
Answer:
Your answer is graphite :) Have a nice day
Explanation:
An external force of 25 N acts on a system for 10 s. What is the impulse delivered to the system?
Answer:
I = 250N*s
Explanation:
I = F*t
I = impulse or momentum
F = Force
t = time
I = 25N*10s
I = 250N*s
For the three vectors shown in (figure 1), A + B + C = 1ȷ^. What is vector B ?
(i) Write B in component form
(ii) Write B as a magnitude and a direction
a. -4i^ + 3 j^; 5.0, 37°
b. 4i^ - 3j^; 3.5, 53°
c. -4i^ - 3j^; 4.5, 65°
d. 4i^ + 3j^; 5.0, 53°
a. -4i^ + 3 j^; 5.0, 37° is vector B, its magnitude and direction.
What does the word "vector" mean?A vector is a quantity or occurrence with the discrete characteristics of magnitude and direction. Additionally, the phrase signifies how such a quantity is represented mathematically or geometrically. Examples of vectors in nature include weight, force, electromagnetic fields, momentum, and velocity.
Based on the figure = > A = 4i^
c= -2 j^
A + B + C = 1ȷ^
=> B= 1ȷ^ - 4i^ -(-2 j^)
=> - 4i^ + 3 j^
|B| = sqrt(4^2+3^2) => 5
Direction = tan Ф = 4/3 => 37°
How do you calculate XYZ's magnitude?|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).Learn more about vector here:
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What is the force on a 2kg object that is moving right at 6 m/s2?
0 3.0N
Ο ΟΝ
.33N
12.0N
Answer:
12N
Explanation:
By Newton second law force is the product of the mass of the object times it's acceleration. That makes it \(2\cdot 6 kg \cdot m/s^2 = 12 N\)
What process is represented by this redox equation ? 6H 2 O+6CO 2 C 6 H 12 O 6 +6O 2
Answer:
C. Photosynthesis
Explanation:
Photosynthesis is a process by which plants and photosynthetic bacteria obtain their food in presence of sunlight from water and carbon dioxide. They produce glucose as the food and oxygen is emitted as the byproduct. The equation for photosynthesis is - 6H2O+6CO2 → C6H12O6 + 6O2
Thus, the correct answer is 'C.Photosynthesis.'
An element has a charge of -3, has 8 protons, 11 neutrons, and electrons
Word Bank:
12 5 11 8 13
pls help
speedy drives horizontally off a clif with a velocity of 15 m/s. he lands 30m from the base of the cliff. how high is the cliff?
The height of the cliff is 80 meters.
The rate of change of position of an item in any path. The speed is measured because of the ratio of distance to the time in which the distance was included.
Velocity can be the concept of the charge at which an item covers distance. a quick-shifting item has a high pace and covers a highly huge distance in a given quantity of time, whilst a sluggish-shifting object covers a fantastically small quantity of distance in an identical amount of time.
Motion is a change in the function of an object over the years. motion is defined in terms of displacement, distance, speed, acceleration, time, and speed. speed, being a scalar amount, is the fee at which an item covers distance with respect to time.
Calculation:-
Time = distance/ speed
= 30/15
= 2 seconds.
S = ut + 1/2 at²
= 30 × 2 + 0.5 × 10 × 4
= 60 + 20
= 80 meters.
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The majority of water on Earth exists as salt water, and only a very small percentage exists as fresh water. More than half of the Earth's fresh water is stored as snow and ice.
Which process in the water cycle results directly in snow?
A.
condensation
B.
crystallization
C.
evaporation
D.
surface runoff
Answer:
B Crystallization
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• The Law of Conservation of Energy states that matter cannot be created or destroyed. So
why do people say that we need to conserve energy? (5pts)
what do the tropopause stratopause and mesopause have in common
Each is a zone of decreasing water vapor content within the atmosphere. ... Each is an interface between two layers of the atmosphere. Each is a point of maximum temperature in its layer of the atmosphere.
Digging downward through a soil profile, how deep would you have to go before you found recognizable fragments of the parent rock for the soil?
The A has a mean lifetime of 26 10-10s and decays into p + e- + ve with a branching fraction of 83 10-4. The A+ (udc) has a mean lifetime of 2-1 10-13s. Estimate the branching fraction of the A into A+e+ +ve, comment on how your result compares with the measured value. [m()=2285GeV/c2BR(e+ve)=(2106)%]
The mean lifetime of A is given by τ(A) = 26 × 10⁻¹⁰ s. The A decays into p + e⁻ + ve with a branching fraction of BR(A → p + e⁻ + ve) = 83 × 10⁻⁴.The mean lifetime of A⁺ (udc) is given by τ(A⁺) = 2-1 × 10⁻¹³ s.
The branching fraction of A into A⁺ + e⁺ + ve is given as follows: First, we can calculate the decay constant for A.λ = (1/τ) = (1/26 × 10⁻¹⁰) s⁻¹.The half-life of A is given by t₁/₂ = ln(2) / λ = (ln2 × τ) = 2.667 × 10⁻¹⁰ s. The branching fraction of A → A⁺ + e⁺ + ve is given as follows: BR(A → A⁺ + e⁺ + ve) = 1 - BR(A → p + e⁻ + ve) = 1 - (83 × 10⁻⁴) = 0.99917.
The measured value of the branching fraction of A → A⁺ + e⁺ + ve is BR(e+ve) = 2106 %.This is greater than 100%. Therefore, the value must be a typographical error. The correct percentage is probably 21.06%.The estimated branching fraction of A → A⁺ + e⁺ + ve is 99.917%, which is very close to 100%. This implies that the A mainly decays into A⁺ + e⁺ + ve.
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