The frequency of the third harmonic of a string is three times the frequency of the fundamental frequency.
The frequency of the third harmonic of a string is three times the frequency of the fundamental frequency.
The third harmonic is the third standing wave pattern that can be produced on a string. It is produced when a string vibrates at a frequency that is three times the fundamental frequency.
This is also known as the third overtone.
A fundamental frequency is the lowest frequency at which a string vibrates. It is also known as the first harmonic.
When the string vibrates at a higher frequency, it produces higher harmonics or overtones.
The frequency of the second harmonic is twice that of the fundamental frequency, and the frequency of the third harmonic is three times the frequency of the fundamental frequency.
Therefore, the frequency of the third harmonic of a string is three times the frequency of the fundamental frequency.
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the sputnik 1 satellite orbited earth (mass=5.98 x 10^24 kg) in a circle of radius 6.96 x 10^6 m. what was its orbital velocity?
Answer:
v = 4.79 10³ m / s
Explanation:
For this exercise we will use the universal law of gravitation and Newton's second law
F = G M m / r²
where G is the gravitational constant, m the mass of the satellite, M the mass of the Earth, r the distance from the center of the planet to the satellite
F = m a
since the satellite has a circular path, the acceleration is centripetal
a = v² / r
we substitute
G M m / r² = m v² / r
G M / r = v²
We calculate
v² = 6.67 10⁻¹¹ 5.98 10²⁴ / 6.96 10⁶
v = √ (22.94 10⁶)
v = 4.79 10³ m / s
Answer:
7570 m/s
Explanation:
take the square root of: 6.67E-11× 5.98E24/6.96E6
Why do we think that the solar system formed from a rotating, collapsing gas cloud that ended up as a disk orbiting the Sun? a) Most of the planets revolve and rotate in the same direction, in the same plane b)Conservation of angular momentum means a collapsing cloud will spin faster and faster c)We see clouds of gas and dust in space d)We see disks around young stars e)All of the above
Answer:
E) All of the above.
Explanation:
The idea that the solar system formed from a rotating, collapsing gas cloud that ended up as a disk orbiting the Sun is supported by multiple lines of evidence. The fact that most of the planets revolve and rotate in the same direction, in the same plane, suggests that they formed from a flattened disk of material. Conservation of angular momentum means that a collapsing cloud will spin faster and faster, which is consistent with the observed rotation of the planets and the Sun. We also see clouds of gas and dust in space, and disks around young stars, which provides further evidence for this theory.
How does hydropower generate electricity?
Answer:
the water spins the wheel wiche gives energy.
Explanation:
Which of the following is an example of acceleration?
A boat sits on a boat trailer.
A boat sits on a boat trailer.
A car moves in a straight line at 60 km/hr.
A car moves in a straight line at 60 km/hr.
A plane moves in air at a steady speed of 850 km/hr.
A plane moves in air at a steady speed of 850 km/hr.
A bus moves on a straight road and then makes a right turn.
A bus moves on a straight road and then makes a right turn.
Answer:
i would say a bus because it has to speed up after the turn
Answer:
The bus
Explanation:
when the bus turns it has a change in direction and since velocity is a vector based on speed and direction the velocity is considered changed and since acceleration is a change in velocity the bus is an example of acceleration
If air resistance is negligible, a falling object can be considered
Answer:
Explanation:
freely falling object
A gyroscope flywheel of radius 2.12 cm is accelerated from rest at 16.2 rad/s2 until its angular speed is 1820 rev/min. (a) what is the tangential acceleration of a point on the rim of the flywheel during this spin-up process
The tangental acceleration of the flywheel of radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².
What is tangental acceleration?This is the rate of change of tangental velocity of an object in circular motion.
To calculate the tangental acceleration, we use the formula below.
Formula:
a = αr............. Equation 1Where:
a = Tangental accelerationr = radius of the flywheelα = Angular acceleration of the flywheel.From the question,
Given:
r = 2.12 cm = 0.0212 mα = 16.2 rad/s²Subsitute these values into equation 1
a = (0.0212×16.2)a = 0.34 m/s²Hence, The tangental acceleration of the flywheel of radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².
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you see a red light and immediately receive a mild electric shock. this happens several times. you eventually cringe at the sight of the red light. when you feel the electric shock itself, that also causes you to cringe when it hits you, and you are displaying a(n)
Whilst you experience the electrical surprise itself, that still causes you to cringe while it hits you, and you are showing a(n): Conditioned reaction.
The electric name came from the phrase "Elektron", which means amber. Amber is the yellow, fossilized rock you discover in tree sap. The Greeks located that in the event that they rubbed amber towards wool, lightweight objects (together with straw or feathers) might stick to it. This form of strength is called "static" strength.
You operate electric powered in the front of nouns to talk approximately unique machines or gadgets that use electricity. The boat runs on an electric motor. My dentist recommends I am getting an electric toothbrush. you operate electrical whilst you are talking in a extra standard manner approximately machines, gadgets, or systems that use or produce strength.
An example of power is the force that powers a mild bulb. An instance of strength is lightning. An instance of electricity is static power, the accumulation of electrical costs on an object's surface.
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an egg drops from a second-story window, taking 1.12 s to fall and reaching 11.0 m/s just before hitting the ground. on contact, the egg stops completely in 0.131 s. calculate the magnitudes of its average acceleration (a) while falling and (b) while stopping
The average acceleration of the egg while falling can be calculated using the equation a = (v - u)/t, where v is the final velocity, u is the initial velocity and t is time.
The average accelerationa) A = (11.0 m/s) / (1.12 s) = 9.82 m/s^2
b) A = (0 m/s) / (0.131 s) = 0 m/s^2
This is a physics problem involving the concepts of acceleration, velocity, and time.Acceleration is the rate of change of velocity and is a vector quantity, meaning it has both a magnitude and direction.In this case, v = 11.0 m/s, u = 0 m/s and t = 1.12 s.This gives an acceleration of 9.82 m/s^2 downwards, the same value as the acceleration due to gravity.The average acceleration of the egg while stopping can be calculated using the same equation, but with v = 0 m/s, u = 11.0 m/s and t = 0.131 s.This gives an acceleration of -84.3 m/s^2, which is an acceleration directed upwards, opposite to the acceleration due to gravity.In summary, the egg experienced an average acceleration of 9.82 m/s^2 downwards while falling, and an average acceleration of -84.3 m/s^2 upwards while stopping.To learn more about The average acceleration refer to:
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do all of the planets orbit in the same direction when viewed from bove the earth's north pole
No, not all planets orbit in the same direction when viewed from above the earth's north pole.
The eight planets in the solar system orbit the sun in the same plane. All the planets orbit in the same direction as the sun, which is counterclockwise when viewed from above the solar system. This is also known as the prograde rotation or the direct orbit.However, there are a few exceptions to this rule. Two planets, Venus and Uranus, have a different rotational axis than the rest of the planets.
This means that they appear to be rotating clockwise or retrograde, when viewed from above their respective poles.Venus rotates slowly and in the opposite direction of its orbit, causing the sun to rise in the west and set in the east. Uranus, on the other hand, has an extreme axial tilt, causing it to appear to be rotating on its side, with its poles almost parallel to the plane of the solar system.In summary, not all planets orbit in the same direction when viewed from above the earth's north pole. While the majority of planets in the solar system have a prograde rotation or direct orbit, Venus and Uranus are exceptions to this rule and have a retrograde rotation.
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An Abrams tank has a mass of 62,Ō00 kg. If its top speed is 20.0 m/s, what is its momentum at top speed?
Answer:
1240000 kg * m/s
Explanation:
p = momentum
p = mass * velocity in kg* m/s
62,000 kg * 20 m/s = 1240000 kg * m/s
Sam and Ike were playing ball. Sam threw the ball to lke. The speed of the ball during one throw back and forth is represented by the
line graph. What was the average speed of the ball at 18 seconds?
9 (1)
A)
0.11 m/s
B)
0.25 m/s
16.0 m/s
D)
36.0 m/s
Forces and Motion
(8.P.2A.7) Average Speed
ID:37739
Hint
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The average speed of the ball at the given time of motion is 0.25 m/s.
What is average speed?The average speed of an object is defined the ratio of total distance to total time of motion.
The given parameters:
Total distance = 9mTime for the forward throw = 18 sTime for backward throw = 18 sThe average speed of the ball at the given time of motion is calculated as follows;
\(v = \frac{tota \ distance}{Total \ time} \\\\V = \frac{9}{18 + 18} \\\\V = 0.25 \ m/s\)
Thus, the average speed of the ball at the given time of motion is 0.25 m/s.
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During an all-night cram session, a student heats up a 0.858 liter (0.858 x10 −3
m 3
) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.2 ∘
C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 90.6 ∘
C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.To calculate the volume of coffee that has spilled out of the beaker, we can use the concept of thermal expansion. The change in volume is given by the formula ΔV = βVΔT, where β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.
First, let's convert the initial volume to cubic meters: V = 0.858 x 10^(-3) m^3.
Next, we calculate the change in temperature: ΔT = 90.6 - 18.2 = 72.4 °C.
The coefficient of volume expansion for water (and coffee) is approximately β = 3.4 x 10^(-4) °C^(-1).
Plugging in these values into the formula, we get:
ΔV = (3.4 x 10^(-4) °C^(-1)) * (0.858 x 10^(-3) m^3) * (72.4 °C) = 2.093 x 10^(-6) m^3.
Therefore, approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.
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Worksheet 4.2
How Do People Destroy Natural Resources
Direction: Identify the effects of Some Human activities on natural Resources and suggest ways to reduce the effects.
Some of the ways that humans are destroying natural resources and the effect of human activities include:
DeforestationOil drillingFossil fuel burningSome of the ways to reduce the effects of our activities are:
Drive lessEat less meatSupport sustainable businessesHow can we mitigate the negative impacts on the environment ?Deforestation is the clearing of forests for human use. This can lead to soil erosion, water pollution, and the loss of biodiversity. Oil drilling is the process of extracting oil from the ground. This can pollute the air and water, and can damage the environment.
Driving less is one of the best ways to reduce our impact on the environment. We can walk, bike, or take public transportation whenever possible. Meat production is a major contributor to climate change. We can reduce our impact on the environment by eating less meat and more plant-based foods.
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An object moving in the +x direction experiences an acceleration of +2. 0 m/s2. This means the object: _________
a. is increasing ins velocity by 2.0 m/s every second.
b. travels 2.0 m in every second.
c. is traveling at 2.0 m/s.
d. is decreasing is velocity by 2.0 m/s every second.
This question is related to the concept of acceleration, and velocity, and . It can be solved by using the basic definition of acceleration.
The correct answer is "(d) is increasing its velocity by 2.0 m/s every second".
The acceleration of an object is defined as the rate of change of its velocity over a given interval of time. Mathematically, acceleration is defined as the change in velocity of an object divided by the time interval taken for that change in velocity.
\(Acceleration=\frac{Change\ in\ Velocity}{Time\ Interval}\)
The Positive sign of the acceleration means the change in velocity is positive and the velocity is increasing, while the negative sign indicates a decrease in velocity.
Hence, an acceleration of 2 m/s² means that the velocity of the object is increasing by 2 m/s every second.
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The attached picture describes acceleration.
two forces act on the wheel shown. a third force acts at point p. what direction and approximate magnitude should this third force act, so the net torque about the pivot is zero?
To ensure that the net torque about the pivot is zero, the third force at point P should be applied in a direction that creates an equal and opposite torque to counterbalance the torques created by the other two forces.
To determine the direction and approximate magnitude of the third force, we need more information about the specific configuration of the wheel, the positions of the forces, and the magnitudes of the other two forces.
Net torque refers to the combined effect of all the torques acting on an object. Torque is a rotational force that causes an object to rotate around an axis. It depends on two factors: the magnitude of the force applied and the distance between the point of application of the force and the axis of rotation.
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A thin, 83.0 cm wire has a mass of 16.5 g. One end is tied to a nail, and the other end is attached to a screw that can be adjusted to vary the tension in the wire. To what tension (in newtons) must you adjust the screw so that a transverse wave of wavelength 3.33 cm makes 625 vibrations per second?
The tension to which the screw must be adjusted so that a transverse wave of wavelength 3.33 cm makes 625 vibrations per second is 5.48 N.
The speed of a transverse wave on a string is:
v = sqrt(T/μ)
where v is the speed of the wave, T is the tension in the string, and μ is the linear density of the string.
The frequency of a wave is related to its wavelength and speed by:
f = v/λ
where f is the frequency of the wave and λ is the wavelength.
Combining these equations:
f = sqrt(T/μ) / λ
Solving for T:
T = μf^2λ^2
The linear density of the wire is:
μ = m/L
where m is the mass of the wire and L is its length. Substituting the given values:
μ = 16.5 g / 0.83 m = 19.88 g/m = 0.01988 kg/m
The frequency of the wave is given 625 vibrations per second, which is equivalent to 625 Hz. The wavelength of the wave is given 3.33 cm, which is equivalent to 0.0333 m.
Substituting these values in the equation for tension:
T = \((0.01988 kg/m) * (625 Hz)^2 * (0.0333 m)^2\) = 5.48 N
Therefore, the tension in the wire must be adjusted to 5.48 N so that a transverse wave of wavelength 3.33 cm makes 625 vibrations per second.
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A thick-walled cylinder with closed ends is subjected to internal pressure only. If the 140 MPa, and Tall inner radius of the cylinder is 600 mm, outer radius is 1000 mm. Gall = 80 MPa, determine the allowable value of internal pressure
The maximum allowed or allowable value of internal pressure is 140 MPa.
The maximum stress that the material can withstand must be considered when determining the allowed value of internal pressure for the thick-walled cylinder. The inner radius of the cylinder has the most stress.
Given information:
140 MPa internal pressure
600 mm inner radius (r₁)
The outer radius (r₂) is 1000 mm.
Maximum allowable stress (σ) = 80 MPa
The following formula can be used to compute the maximum stress (σ_max):
\(\sigma_{max} = P * ((r_2)^2 - (r_1)^2) / ((r_2)^2 + (r_1)^2)\)
Substituting the given values:
\(\sigma_{max} = 140 * (1000^2 - 600^2) / (1000^2 + 600^2)\\= 140 * (1000000 - 360000) / (1000000 + 360000)\\= 140 * 640000 / 1360000\\\approx 65.88 MPa\)
To ensure the cylinder can withstand the internal pressure, the maximum stress should be less than or equal to the allowable stress:
σ_max ≤ σ
Therefore, 65.88 MPa ≤ 80 MPa.
Hence, the allowable value of internal pressure is 140 MPa.
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Warm 12 grams of water from 98 degrees Celsius to 99 degrees Celsius
Answer:
E=mc△T
E=0.012(4200)(99-98)
E=50.4J
50.4 joules of heat is used
While a dog runs forward, its
owner pulls back with a 22.4 N force at a 115º direction, doing
-42.3 J of work. How far did the
dog move?
Answer:
d = 100.56 m
Explanation:
It is given that,
Force acting on the dog is 22.4 N
Angle at which the force is applied is 115 º
Work done is - 42.3 J
We need to find the distance covered by the dog. The work done by an object is given by :
\(W=Fd\cos\theta\)
d = distance covered by the dog
\(d=\dfrac{W}{\cos\theta}\\\\d=\dfrac{-42.5}{\cos(115)}\\\\d=100.56\ m\)
So, the dog moves a distance of 100.56 m.
Answer:
4.47 M.
Explanation:
I do Acellus and just got it correct!
The coetticient of friction between a block and the surface it slides across is 0.360. The block has a mass of 150 kg
What force is required to accelerate the block 0.5 m/a^2.
The friction between the b;ock and surface is given by mass and accelerartion.
Force = mass * acceleration
A car has a mass of 1000 kg. It is driving to the right.
Draw a free body diagram showing the forces acting on it.
Find it’s weight on Earth.
How do I even draw a body diagram? Please help.
Answer:
Explanation:
What is a free body diagram?
Answer: a force diagram is a graphical illustration used to visualize the applied forces and resulting reactions on a body in a given condition
Drawing a free-body diagram for this problem
Answer: Look at the attached picture, ask me any questions if you are still confused. It is a little messy since I didn't have my pen.
Find its weight on Earth
Answer: The weight is dependent on the mass of the object and the gravitational constant on the planet. The gravitational constant, in this case, is 9.8.
so the weight = mass * gravitational constant = m * g = 1000 * 9.8
= 9800 N
Hope that helps!
A car has negative acceleration. What information can you infer from this? (4 points) a The car is speeding up and changing its direction. b The car is speeding up in the same direction. c The car is changing its direction. d The car is slowing down.
Answer:
D. The car is slowing down.
Explanation:
When a car slows down, the acceleration is in the opposite direction as the velocity. With that being said, the car would have negative acceleration.
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a light-nanosecond is the distance light travels in 1 ns. convert 1 ft to light-nanoseconds.
1 ft is equivalent to 1.016733193 light-nanoseconds.
To convert 1 ft to light-nanoseconds, we need to know the speed of light in feet per second. The speed of light is approximately 299,792,458 meters per second or 983,571,056.43 feet per second. Therefore, we can calculate the distance light travels in 1 nanosecond as follows:
Distance = speed x time
Distance = 983,571,056.43 ft/s x 1 ns
Distance = 0.98357105643 ft
So, a light-nanosecond is the distance light travels in 1 nanosecond, which is 0.98357105643 feet. Therefore, to convert 1 ft to light-nanoseconds, we can use the following formula:
Light-nanoseconds = distance / speed
Light-nanoseconds = 1 ft / 0.98357105643 ft/ns
Light-nanoseconds = 1.016733193 ns
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a lunar eclipse can be seengroup of answer choicesonly by the observers in a 500 km wide path of totality.at the same time each year.by all observers on the nighttime side of earth.by all observers on the daylight side of earth.only at midnight.
"A lunar eclipse can be seen by all observers on the night-time side of earth."
Unlike solar eclipses, which require special glasses to observe and may only be seen briefly in a very narrow zone, a total lunar eclipse can persist for more than one hour and be viewed by anybody on Earth's night side.
The light appears reddish due to the Rayleigh scattering of blue light, the same reason sunrise and sunsets are more orange than during the day. A lunar eclipse can be seen from anyplace on the night side of Earth, unlike a solar eclipse, which can only be seen from a limited portion of the globe.
Lunar eclipses are technically visible from the entire night side of Earth, but during a penumbral eclipse, the dimming of the Moon's illumination is slight.
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A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.
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⚠️PLEASE HELP!!⚠️ Which two statements describe how convection currents transfer thermal energy in earths oceans?
Answer:
The answer is D & B
Answer: B and D
Explanation:
Q1. I have a kettle, containing 0.5kg of water (enough to make 2 cups of tea). The water
has a temperature of 15°C. How much energy does it take to boil the water?
The specific heat capacity of water is 4200 J/kg°C. Boiling point of water is 100°C.
Water has a 4,200 J/kg°C (joules per kilogramme per degree Celsius) specific heat capacity. This indicates that 4,200 J are required to raise the boiling point of 1 litre of water to 1°C.
How so much energy does boiling water require?1 g of water consumes calories to heat from its critical temperature of 0 C to its boiling temperature of 100 C. Yet, in order to turn 1 gram of water at 100 °C into 1 g of vapour at 100 °C, 540 units of energy are needed. The enthalpy of vaporization is what is causing this.
What is the difference between the heat capacity of ice and the heat capacity of water, which is 4200?Water has a specific warmth capacity of 4200 Jkg/1K, ice has a specific boiling point of 2100 Jkg/1K, ice has a hidden fusion temperature of 3.36 105 Jkg/1, and water has a latent heat of changes due of 2.25 106 Jkg/1.
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Describe the electric and magnetic fields of an electromagnetic wave.
A wire whose resistance is R is stretched so that its length is tripled while its volume remains unchanged.
Determine the resistance of the stretched wire.
Express your answer in terms of R and appropriate constant
When a wire is stretched so that its length is tripled, its cross-sectional area decreases by a factor of 3, since the volume of the wire remains the same.
The resistance of a wire is given by the equation:
R = ρ L / A
where R is the resistance, ρ is the resistivity of the wire (a constant that depends on the material), L is the length of the wire, and A is the cross-sectional area of the wire.
If the length of the wire is tripled while its volume remains constant, the cross-sectional area of the wire must decrease by a factor of 3. Therefore, the new cross-sectional area of the wire is 1/3 of its original value.
Let A' be the new cross-sectional area of the wire. Then :--
A' = A / 3
Substituting this expression for A' into the equation for resistance gives:--
R' = ρ (3L) / (A/3) = 9ρL / A
Therefore, the resistance of the stretched wire is 9 times the resistance of the original wire. In terms of the original resistance R, we have:--
R' = 9R
So the resistance of the stretched wire is 9 times the resistance of the original wire.
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What happens to the magnet on top of another magnet?
Similar like magnets, opposites are drawn together. A magnet's north pole will adhere to another magnet's south pole. However, a magnet's north pole will push away from another magnet's north pole.
The basic adage "opposites attract" applies to magnets. Every magnet has a north and a south pole. The drawing together of two poles that are incompatible with one another. If you attempt to align the north and south poles in these directions, they will reject one another.The magnets are surrounded by an invisible magnetic field that is filled with potential energy. When two poles with similar sides are attempted to be pushed together, the built-up energy transforms into motion, or kinetic energy, and pushes the poles apart.When two diametrically opposed poles combine, the same logic applies. The magnets are compelled to come together because of the intense attraction.
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