when is the angular momentum of asystem constant
The angular momentum of a system is conserved when there is no external torque acting on the system.
This is known as the law of conservation of angular momentum. Mathematically, it can be expressed as:
L = Iω
where L is the angular momentum of the system, I is the moment of inertia, and ω is the angular velocity. If the net external torque acting on the system is zero, then the angular momentum of the system remains constant.
This law has many applications in physics, including in rotational motion, celestial mechanics, and quantum mechanics. For example, the conservation of angular momentum explains why a spinning ice skater speeds up when they bring their arms inwards, and why the Earth's rotation remains constant over long periods of time.
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In your design, how would you change the mass of Car A to minimize (make less) the change in motion of Car A due to the collision? Explain your idea using Newton's Third Law and support it with evidence from the system model in this activity
to minimize the change in motion of Car A due to the collision, we should decrease the mass of Car A relative to the mass of Car B.
Newton's Third Law states that for every action, there is an equal and opposite reaction. This means that in a collision between two objects, the force that Car A exerts on Car B is equal and opposite to the force that Car B exerts on Car A.
To minimize the change in motion of Car A due to the collision, we need to minimize the force that Car B exerts on Car A. This can be achieved by decreasing the mass of Car A relative to the mass of Car B.
We can see evidence of this from the system model in the activity. When Car A and Car B have equal masses, they experience equal and opposite forces during the collision, and their velocities are both affected to the same degree. However, when Car A has less mass than Car B, Car B experiences a greater force during the collision, but Car A experiences a smaller force. As a result, Car A experiences less of a change in velocity than it would if the masses were equal.
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Urgent help!
Two pure tones Cs and Gs, with frequencies from the Pythagorean diatonic scale, are sounded simultaneously. Find
a) the frequencies of the three combination tones and
b) the notes on the Pythagorean scale to which these tones belong.
The sum tone has a frequency of (Cs+Gs) and the difference tones have frequencies of (Cs-Gs) and (Gs-Cs).
How are combination tones made and what are they?Combination tones are tones that are produced by the interaction of two or more pure tones in the ear or in a resonant system. They are produced by the sum and difference of the frequencies of the pure tones.
What is the Pythagorean diatonic scale and how is it related to music?The Pythagorean diatonic scale is a tuning system in which the frequency ratios between adjacent notes are based on the ratios of small whole numbers. This scale was used in ancient Greek music and later became the basis for Western music theory.
The Pythagorean tuning system is related to music because it provides a mathematical foundation for the intervals and relationships between musical notes, and has influenced the development of Western music for centuries.
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Mrs. Hankinson made the following electromagnet. What is the most likely explanation for the failed experiment?
A. The battery is too low voltage to work
B. The electromagnet needs a switch
C. The wire was not connected properly
D. The metallic objects lost their magnetic domains
Because the cable was not connected properly is the most likely cause of the experiment's failure.
Which best describes the operation of an electromagnet?The coils of wire that make up an electromagnet have electricity running through them. When an electric current flows through the wire coils of an electromagnet, the coils act like a magnet because moving charges produce magnetic fields.
Why won't my electromagnet operate?There are numerous factors to examine. Make sure an ordinary magnet can attract safety pins as a start. Then, verify that current is actually flowing through your wire. To do this, you need a strong enough battery, a wire with a low enough resistance, and a complete circuit connecting the two.
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A 28 g block of ice is cooled to −78 ◦C. It
is added to 562 g of water in an 80 g copper
calorimeter at a temperature of 21◦C.
Find the final temperature. The specific
heat of copper is 387 J/kg ·
◦C and of ice is
2090 J/kg ·
◦C . The latent heat of fusion of
water is 3.33 × 105
J/kg and its specific heat
is 4186 J/kg ·
◦C .
Answer in units of ◦C
Answer:
14.46°C
Explanation:
Given:
Mass of ice = 28 g = 0.028 kgMass of water = 562 g = 0.562 kgMass of copper calorimeter = 80 g = 0.08 kgSpecific heat of copper = 387 J/(kg°C)Specific heat of water = 4186 J/(kg°C)Specific heat of ice = 2090 J/(kg°C)Latent heat of fusion of water = 3.33 x 10^5 J/kgInitial temperature of ice = -78°CMelting point of ice = 0°CInitial temperature of water and copper calorimeter = 21°CFind:
The final temperature of the mixtureSolution:
1. Calculate the heat required to warm the ice from its initial temperature to its melting point: Heat to warm ice = Mass of ice * Specific heat of ice * (Melting point of ice - Initial temperature of ice) Heat to warm ice = 0.028 kg * 2090 J/(kg*°C) * (0°C - (-78°C)) = 4579.44 J
2. Calculate the heat required to melt the ice at its melting point: Heat to melt ice = Mass of ice * Latent heat of fusion of water Heat to melt ice = 0.028 kg * 3.33e5 J/kg = 9324 J
3. Calculate the heat lost by the water and calorimeter as they cool down to the final temperature: Heat lost by water and calorimeter = Mass of water * Specific heat of water * (Initial temperature of water and copper calorimeter - Final temperature) + Mass of copper calorimeter * Specific heat of copper * (Initial temperature of water and copper calorimeter - Final temperature)
4. The total heat gained by the ice must be equal to the total heat lost by the water and calorimeter: Heat to warm ice + Heat to melt ice + Mass of ice * Specific heat of water * (Final temperature - Melting point of ice) = Heat lost by water and calorimeter 4579.44 J + 9324 J + 0.028 kg * 4186 J/(kg°C) * (Final temperature - 0°C) = [0.562 kg * 4186 J/(kg°C) + 0.080 kg * 387 J/(kg*°C)] * (21°C - Final temperature)
Solving for the final temperature, we get: Final temperature ≈ 14.46°C
So, the final temperature of the system is approximately 14.46°C
What is the speed of a wave with a wavelength of 4 cm and a frequency of 8 Hz?
A. 2 cm/s
B. 32cm/s
C. 0.5 cm/s
D. 12 cm/s
Describe the motion of a cyclist at the start of a race is the terms velocity and acceleration
At the start of a race, a cyclist's velocity is zero because they are not yet moving. However, as they begin to pedal and move forward, their velocity increases. The direction of the velocity depends on the direction in which they are moving.
Acceleration is the rate at which velocity changes over time. In the case of a cyclist at the start of a race, their acceleration would be positive, as they are increasing their velocity. The magnitude of the acceleration would depend on various factors such as the force of the cyclist's pedaling, the mass of the cyclist and the bike, and the friction between the tires and the ground.
As the cyclist continues to pedal, their velocity will increase, and their acceleration may either increase or decrease depending on the external factors that influence their motion. Ultimately, the cyclist's velocity and acceleration will determine their position and speed relative to other cyclists in the race.
We perform an experiment with a 28 cm rod with a mass of .07 kg swinging from its endpoint. The pendulum is allowed to move freely. The pendulum system is then placed on a cart. From rest of both the cart and the pendulum, the cart is push and the acceleration (a) of the cart and the angle of the pendulum is measured. (1): Justify based on theory the maximum displacement angle observed. (2): Do the same, but what if the rod is hung 8 cm from its endpoint?
The rod is hung 8 cm from its endpoint instead of 28 cm, the maximum potential energy and thus the maximum angle of displacement will be smaller.
What is Potential Energy?
Potential energy is the energy possessed by an object due to its position or state. It is the energy that can be stored in an object as a result of its position or configuration. The amount of potential energy an object has depends on its position or configuration relative to other objects or systems, as well as the forces acting on it. Potential energy can be converted into other forms of energy, such as kinetic energy or thermal energy, depending on the situation.
The maximum displacement angle observed in a simple pendulum system is directly related to the initial potential energy and the gravitational potential energy of the system. As the pendulum is pulled away from its resting position, it gains potential energy, which is then converted to kinetic energy as it swings back towards the center.
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A uniformly charged semicircle (radius= 4.46 cm, charge= 7.5 μC). What is the magnitude of the electric field at the center of the semicircle?
Answer:
A uniformly charge d insulating rod of length 14.0cm is bent into the shape of a semicircle as shown in Figure. The rod has a total charge of −7.50μC. Find (a) the magnitude and (b) the direction of the electric field at O, the center of the semicircle.
1859579
expand
Medium
Solution
verified
Verified by Toppr
Due to symmetry, E
y
=∫dE
y
=0, and E
x
=−∫dEsinθ=−k
e
∫
r
2
dqsinθ
where dq=λds=λrdθ; the component E
x
is negative because charge q=−750μC, causing the net electric field to be directed to the left.
E
x
=−
r
k
e
λ
0
∫
π
sinθdθ=−
r
k
e
λ
(−cosθ)∣
0
π
=−
r
2k
e
λ
where λ=
and r=
π
L
. Thus,
E
x
=−
L
2
2k
e
∣q∣π
=−
(0.140m)
2
2(8.99×10
9
N⋅m
2
/C
2
)(7.50×10
−6
C)π
E
x
=−2.16×10
7
N/C
(a) magnitude E=
2.16×10
7
N/C
Suppose a double-slit interference pattern has its third minimum at an angle of 0.283° with slits that are separated by 292 μm.
Consequently, the light's wavelength that caused the multiply-slit interference pattern was around 546 nm.
Why do interference patterns exist?Solution and Justification: Interference patterns are produced when waves of identical (or what very similar) frequencies collide. The amplitudes of these waves may then either be raised (via constructive interference) or lowered.
Which interference pattern does the equation have?Fringes are the light lines that alternate with the black lines in the interference pattern. The following equation can be used to calculate the wavelength for the double-slit experiment: dissipates ≈ xd / L.
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The correct question is
Problem 4: Suppose a double-slit interference pattern has its third minimum at an angle of 0.256° with slits that are separated by 293 μm.
Randomized Variables
0 = 0.256°
d=293 μm
Calculate the wavelength of the light in nm.
Gra
Ded
Pote
All online typing programs are fee-based.
Question 5 options:
True
False
False. Not all online typing programs are free.
Online typing programsOnline typing programs are software applications or websites that provide typing lessons, exercises, and tests to help individuals improve their typing skills.
These programs typically include a variety of lessons and exercises designed to help users learn proper typing techniques, improve their typing speed, and increase their accuracy.
There are online typing programs that are available for free. While some online typing programs do require a fee to access all features or to remove ads, there are also many free typing programs available that provide basic typing lessons and exercises.
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in a car lift in a service station, compressed air exerts a force on a small piston that has a circular cross section of radius 5.00cm. This pressure is transmitted by a liquid to a piston that has a radius of 15.0 cm. (b) What air pressure will produce a force of that magnitude?
The air pressure that will produce a force of the given magnitude is 135 times the pressure transmitted by the liquid. The value of P2, the pressure transmitted by the liquid, is not given in the problem, so we cannot determine the exact value of P1.
How is atmospheric pressure produced?The planet's gravitational pull on the gases above its surface produces atmospheric pressure, which depends on the planet's mass, the radius of its surface, the quantity, makeup, and vertical distribution of the gases in the atmosphere.
The following equations describe the force that compressed air exerts on a tiny piston:
F1 = P1 * A1
The larger piston, which has a larger area A2, receives the power via the liquid. The larger piston's power is determined by:
F2 = P2 * A2
Pascal's rule states that the larger piston receives the same amount of pressure P1 as the smaller piston, so we have:
P1 = P2
Since the forces F1 and F2 are equal, we have:
F1 = F2
Therefore:
P1 * A1 = P2 * A2
P1 * (pi * (5.00 cm)²) = P2 * (pi * (15.0 cm)²)
Simplifying and solving for P1, we get:
P1 = (P2 * A2 * (5.00 cm)²)/ (A1 * (15.0 cm)²)
Substituting A1 = pi * (5.00 cm)² and A2 = pi * (15.0 cm)², we get:
P1 = (P2 * 15.0²) / 5.00²
P1 = 135 * P2.
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We perform an experiment with a 28 cm rod with a mass of .07 kg swinging from its endpoint. The pendulum is allowed to move freely. The pendulum system is then placed on a cart. From rest of both the cart and the pendulum, the cart is push and the acceleration (a) of the cart and the angle of the pendulum is measured. (1): Justify based on theory the maximum displacement angle observed. (2): Do the same, but what if the rod is hung 8 cm from its endpoint?
For a given length of the pendulum and acceleration of the cart, the maximum displacement angle can be determined using the above formulas.
What is Acceleration?
Acceleration can be positive or negative depending on the direction of the change in velocity. If an object is speeding up, the acceleration is positive, while if it is slowing down, the acceleration is negative.
(1) The maximum displacement angle observed in a pendulum experiment can be determined by the length of the pendulum and the acceleration due to gravity. According to the theory of simple harmonic motion, the period of a pendulum is directly proportional to the square root of its length and inversely proportional to the square root of the acceleration due to gravity.
The formula for the period of a pendulum is:
T = 2π * sqrt(L/g)
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity (approximately 9.8 m/[tex]s^{2}[/tex]).
For a given length of the pendulum, the maximum displacement angle occurs when the pendulum is at the highest point in its swing (i.e., when its velocity is momentarily zero). At this point, all of the energy of the pendulum is potential energy (i.e., gravitational potential energy), and the angle is known as the maximum displacement angle or the amplitude.
The maximum displacement angle (θ) can be calculated using the formula:
θ = [tex]sin^{^-1(a/g)}[/tex]
where a is the acceleration of the cart.
Therefore, for a given length of the pendulum and acceleration of the cart, the maximum displacement angle can be determined using the above formulas.
(2) If the rod is hung 8 cm from its endpoint instead of 28 cm, the length of the pendulum (L) would be 20 cm. Using the same formula as above, the period of the pendulum would be:
T = 2π * sqrt(0.2/9.8) = 0.898 seconds
The maximum displacement angle can be calculated using the same formula as above:
θ = sin^[tex]sin^{^-1(a/g)}[/tex]
where a is the acceleration of the cart.
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A person goes down a skate ramp at a height of 10 m and reaches a maximum height of 8 m on the other side. Explain what happens to the energy.
When a person goes down a skate ramp from a height of 10 m and reaches a maximum height of 8 m on the other side, there is a transfer of energy happening.
What is energy transfer?
Initially, the person has gravitational potential energy due to their position at a height of 10 m. As the person goes down the ramp, this gravitational potential energy is converted into kinetic energy, which is the energy of motion. This is because the person is accelerating as they move down the ramp due to the force of gravity.
As the person reaches the bottom of the ramp, all of their gravitational potential energy has been converted into kinetic energy. At this point, the person's kinetic energy is at its maximum. However, the person's kinetic energy starts to decrease as they move up the other side of the ramp. This is because the person is now moving against the force of gravity and must use their kinetic energy to overcome this force and move upward.
As the person moves up the other side of the ramp, their kinetic energy is gradually converted back into gravitational potential energy. At the maximum height of 8 m on the other side of the ramp, the person's kinetic energy has been fully converted back into gravitational potential energy, and they are once again at their maximum height.
Therefore, the energy of the person is constantly being converted between kinetic energy and gravitational potential energy as they go down the ramp and up the other side. This conversion of energy is due to the force of gravity acting on the person and the changes in their height as they move along the ramp. No energy is lost during this process; it is simply converted from one form to another.
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Complete question is: A person goes down a skate ramp from a height of 10 m and reaches a maximum height of 8 m on the other side, there is a transfer of energy happening.
The sound level produced by one singer is
82.1 dB.
What would be the sound level produced
by a chorus of 43 such singers (all singing at
the same intensity at approximately the same
distance as the original singer)?
Answer in units of dB.
Answer: The sound level produced by a chorus of 43 singers will be 97.66 dB.
Explanation:
Let I, the intensity of a sound produced by a singer, therefore, the intensity of the sound produced by 43 singers is equal to 43I. Therefore, the intensity is:
x = 10log(43I/Io)
x = 10log(43) + 10log(I/Io)
The second term in the equation is the sound intensity produced by a single singer. We calculate that the sound intensity of 36:
x = 10log(36) + 82.1 = 97.66 dB
A jar of tea is placed in sunlight until it
reaches an equilibrium temperature of 33.3
◦C .
In an attempt to cool the liquid, which has a
mass of 187 g , 133 g of ice at 0.0
◦C is added.
At the time at which the temperature of the
tea is 31.8
◦C , find the mass of the remaining
ice in the jar. The specific heat of water
is 4186 J/kg ·
◦ C . Assume the specific heat
capacity of the tea to be that of pure liquid
water.
Answer in units of g.
(2 significant digits)
Answer: The mass of the remaining ice in the jar is 1.3e+2 g.
Explanation: Let’s denote the mass of the remaining ice as m_ice. The heat gained by the ice is equal to the heat lost by the tea. The heat gained by the ice is given by m_ice * L_f, where L_f is the latent heat of fusion of water (334000 J/kg). The heat lost by the tea is given by m_tea * c_w * (T_initial - T_final), where m_tea is the mass of tea (0.187 kg), c_w is the specific heat capacity of water (4186 J/kg·°C), T_initial is the initial temperature of the tea (33.3°C), and T_final is the final temperature of the tea (31.8°C).
Equating the heat gained by the ice to the heat lost by the tea, we get:
m_ice * L_f = m_tea * c_w * (T_initial - T_final)
Substituting in the values, we get:
m_ice * 334000 = 0.187 * 4186 * (33.3 - 31.8)
Solving for m_ice, we get:
m_ice = 0.187 * 4186 * (33.3 - 31.8) / 334000
m_ice ≈ 0.130 kg
Converting to grams and rounding to two significant figures, we get:
m_ice ≈ 130 g
Hope this helps, and have a great day! =)
what is diffraction grating
Answer:
Diffraction Grating: Definition and Applications
A diffraction grating is a device that is used to separate light into its component wavelengths. It consists of a flat surface that has a large number of parallel grooves or lines etched into it. When light is shone onto the grating, it is diffracted into its individual wavelengths, producing a spectrum of colors. Diffraction gratings are commonly used in various applications, such as spectroscopy, astronomy, and telecommunications.
The science behind diffraction gratings is based on the principles of wave interference and diffraction. When light passes through a narrow slit or a small opening, it diffracts, or spreads out, into a series of bright and dark fringes. When a beam of light passes through a grating, the light is diffracted by each of the parallel lines on the surface of the grating, resulting in a series of bright and dark fringes that are spaced apart at regular intervals. The spacing between the lines on the grating determines the amount of diffraction, and therefore the angle at which the diffracted light is scattered.
Diffraction gratings are commonly used in spectroscopy, which is the study of the interaction between light and matter. Spectroscopy is used in various applications, such as identifying the chemical composition of materials, analyzing the spectra of stars and galaxies, and studying the properties of molecules and atoms.
In astronomy, diffraction gratings are used in telescopes and spectrometers to study the spectra of stars and galaxies. By analyzing the spectra, astronomers can determine the chemical composition, temperature, and other properties of celestial objects.
In telecommunications, diffraction gratings are used in fiber-optic communication systems to separate different wavelengths of light. This allows for the transmission of multiple signals over a single optical fiber, increasing the capacity and speed of the communication system.
In conclusion, a diffraction grating is a device that is used to separate light into its component wavelengths. It consists of a flat surface with parallel lines etched into it, which diffract the light and produce a spectrum of colors. Diffraction gratings are commonly used in spectroscopy, astronomy, and telecommunications, and they play an important role in our understanding of the interaction between light and matter.
Explanation:
Answer:
diffraction grating is an optical component with a periodic structure that diffracts light into several beams travelling in different directions.
Explanation:
What is an electrical circuit?
A. It is a closed path through which current can flow.
B. It is a loop that provides no resistance at room temperature.
C. It is an open loop that does not permit current flow.
OD. It is a region of accumulation of excess charge.
Answer:
A
Explanation:
It can be a circuit if it's not closed
EARTH AND SPACE SCIENCE!
If we are in the path of totality of an eclipse then which is true?
a.) We are in the shadow of the Penumbra
b.) We may not be experiencing the solar eclipse right at that exact moment but we will be in the shadow of the Umbra at some point.
Answer:
b
Explanation:
Long answers are always the correct answer. FAXS
A proton traveling due east in a region that contains only a magnetic field experiences a vertically upward force (away from the surface of the earth). What is the direction of the magnetic field with respect to your screen? Question 4 options: a) into your screen b) to the right c) out of your screen d) to the left
The direction of the magnetic field with respect to your screen is d) to the left.
The upward force experienced by the proton indicates that the magnetic field is acting perpendicular to both the motion of the proton (due east) and the force it experiences. According to the right-hand rule for magnetic forces, if you point your thumb in the direction of the velocity of the charged particle (due east in this case) and your fingers in the direction of the force (vertically upward), then the direction your palm faces represents the direction of the magnetic field.
In this scenario, if you extend your left hand and point your thumb to the right (due east) and your fingers vertically upward, your palm will face to the left, indicating that the magnetic field is directed to the left. Therefore, option d) to the left is the correct answer. The magnetic field is perpendicular to the plane of the screen and points into the screen.
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the function f(x) = -x^2 - 9x+36 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
The zeros of the function f(x) are x = 3 and x = -12.
To find the zeros of a function, we need to solve the equation f(x) = 0. In this case, we have:
f(x) = -x^2 - 9x + 36
Setting f(x) = 0, we get:
-x^2 - 9x + 36 = 0
We can solve this quadratic equation by factoring or by using the quadratic formula. Factoring, we get:
-(x - 3)(x + 12) = 0
Setting each factor equal to zero, we get:
x - 3 = 0 or x + 12 = 0
Solving for x, we get:
x = 3 or x = -12
These zeros represent the horizontal distances from the diving board where the vertical distance of the diver from the pool's surface is zero. In other words, they represent the points where the diver enters the water. The zero x = 3 represents the point where the diver enters the water at a distance of 3 feet from the diving board, while the zero x = -12 represents the point where the diver enters the water at a distance of 12 feet behind the diving board. However, the negative solution x = -12 is not meaningful in this context since it represents a point that is behind the diving board, so we discard it. Therefore, the zero x = 3 is the meaningful solution, which represents the point where the diver enters the water at a distance of 3 feet from the diving board.
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Starting from rest, a wheel of radius 0.25 m accelerates counterclockwise at 6 rad/s2 in 2 seconds. Approximately many revolutions does the wheel complete during its 2 seconds of acceleration?
Starting from rest, a wheel of radius 0.25 m accelerates counterclockwise at 6 rad/s2 in 2 seconds. Approximately many revolutions does the wheel complete during its 2 seconds of acceleration?
The wheel completes approximately 1.91 revolutions during its 2 seconds of acceleration.
How can I determine how many revolutions a wheel takes when moving quickly?The car's uniform acceleration, a = v/t, is provided. The distance it moves in the given amount of time, t, can be calculated using the kinematic equations for linear motion. By multiplying this distance by the tyre's diameter, we can calculate the number of revolutions. The formula f = vf/rtire yields the ultimate angular speed.
To resolve this issue, we can use the kinetic equation shown below:
θ = 1/2 α t²
To begin with, we can use the following method to determine the wheel's ultimate angular velocity:
ωf = ωi + αt
where i represents the starting angular speed. (which is zero in this case).
ωf = ωi + αt
ωf = 0 + 6 rad/s² × 2 s
ωf = 12 rad/s
Next, we can calculate the number of rotations made during the two seconds of acceleration using the formula for the angle the wheel made:
θ = 1/2 α t²
θ = 1/2 × 6 rad/s^2 × (2 s)²
θ = 12 rad
We can divide this by 2 (the number of radians in a rotation) to get the number of revolutions:
of revolutions = θ / 2π
of revolutions = 12 rad / 2π
of revolutions ≈ 1.91 revolutions.
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a number of sources indicate that writng assignments in lower level college courses are typically pages in length
According to a variety of sources, writing assignments in college courses at the entry level are typically 5-7 pages long, while those in courses at the main layer can be as long as 15-20 pages.
How often pages should a task have?The vast majority of the times, the project will give precise instructions on how many words or pages that must produce. This is frequently a range instead of a precise figure Always check to your teacher if you're unsure.
What is the duration of the assignment?Length of Assignment refers to the number of days between the initial Operational Phase just at Incident or report site on the originating Resource Order and the beginning of returning travel to the Authorized Dispatch Place upon completion or completion of the assignment.
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In an air standard diesel cycle, the compression ratio is 16 and at the beginning of isentropic compression, the temperature is 15c and the pressure is 0.1 j\.1pa. Heat is added until the t:mperature at constant process is 1480c. Calculate cut off ratio, heat supplied per kg of arr, cycle efficiency and mean effective pressure
If Cv reduces by 2%, calculate the percentage gain in efficiency of the a diesel cycle with a bit rate of 16 and a cut-off ratio of 10% of a swept volume. Taking Cv = 0.717 & 1.4; the answer is 1.23%.
Where can I find the volume?In cubic units, the volume answer is displayed. Volume is determined by multiplying the length, breadth, and height.
What does measuring of volume entail?The 3-dimensional space that is occupied by matter or surrounded by a surface is measured in volume, which is expressed in cubic units. A derived measure called a cubic meter (m3) serves as the SI volume measurement unit.
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5. [6.67/10 Points] DETAILS
MY NOTES
ASK YOUR TEACHER
N/C
(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the
magnitude of the electric field only.)
6.00 μC
1.50 μC -2.00 μC
3.00 cm
Submit Answer
PREVIOUS ANSWERS
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(b) If a charge of -6.13 µC is placed at this point, what are the magnitude and direction of the force on it?
magnitude
N
direction
SERCP11 15.3.P.018. 2/5 Submissions Used
2.00 cm →
As the charge is negative, the force, which has a magnitude of 33.05 N, is directed to the left, against the electric field.
What is the electric field's intensity at a specific distance from the point charge E?E is a symbol for the magnitude of the electric field at a specific distance from a point charge. At twice the distance from the point charge, what is the electric field's strength? The field's strength is E/2 at twice the distance. The field's strength is still equal to E at a distance that is twice as great.
E = k*q/r²
r1 = 2.00 cm
r2 = 1.00 cm + 3.00 cm = 4.00 cm
r3 = 1.00 cm
Using these distances, we can calculate the electric field due to each charge:
E1 = kq1/r1² = (9.0 x 10⁹ Nm²/C²) * (1.50 x 10⁻⁶ C) / (0.02 m)² = 168.75 N/C (to the right)
E2 = kq2/r2² = (9.0 x 10⁹ Nm²/C²) * (-2.00 x 10^⁻⁶ C) / (0.04 m)² = -112.50 N/C (to the left)
E3 = kq3/r3² = (9.0 x 10⁹ Nm²/C²) * (6.00 x 10⁻⁶ C) / (0.01 m)² = 5.40 x 10⁶ N/C (to the right)
E = E1 + E2 + E3 = 168.75 N/C - 112.50 N/C + 5.40 x 10⁶ N/C = 5.39 x 10⁶ N/C (to the right)
F = q*E
F = (-6.13 x 10 C) * (5.39 x 10⁶ N/C) = -33.05 N
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The acceleration of a particle is a constant. At t=0, the velocity of the particle is (15.8i+ 18.4j) m/s. At t= 5.1 s the velocity is 14.0j m/s.
(a) What is the particle's acceleration (in m/s^2)?
a=
(b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.
r(t)=
v(t)=
Answer:
(a) To find the particle's acceleration, we can use the formula: a = (v2 - v1)/t where v1 is the initial velocity, v2 is the velocity at time t, and t is the time interval. Substituting the given values, we get: a = (14.0j - (15.8i + 18.4j))/5.1 s a = (-15.8i - 4.4j)/5.1 s a = (-3.1i - 0.9j) m/s^2 Therefore, the particle's acceleration is (-3.1i - 0.9j) m/s^2. (b) To find the position function, we can integrate the velocity function with respect to time: r(t) = ∫v(t) dt Integrating
what is the speed of a water wave that has a wavelength of 2 m and a frequency of 0.025 Hz?
Explanation:
speed = wavelength * frequency
= 2 m * .0025/s = .005 m/s
Easy physics.
if the ball in the following image continues to accelerate at a rate of 10m/s after it reaches the peak height and begins to move back down, what velocity should the ball 3 seconds after reaching the peak height.
The velocity of the ball 3 seconds after reaching the peak height is 30 m/s.
What is Velocity?
Velocity is a vector quantity that describes the speed and direction of motion of an object. It is defined as the rate of change of displacement of an object over time. In other words, velocity tells us how fast an object is moving and in what direction.
Assuming that air resistance is negligible, we can use the kinematic equations of motion to solve for the velocity of the ball 3 seconds after reaching the peak height.
Let's use the following variables:
a = acceleration = 10 m/[tex]s^{2}[/tex] (since the ball is continuing to accelerate downwards)
t = time = 3 seconds (since we want to find the velocity 3 seconds after reaching the peak)
v₀ = initial velocity = 0 m/s (since the ball has zero velocity at the peak)
v = final velocity (what we want to find)
Using the kinematic equation for velocity with constant acceleration:
v = v₀ + at
Substituting the given values:
v = 0 + 10 m/[tex]s^{2}[/tex] × 3 s
v = 30 m/s
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What is the linear diameter in meters of an object that has an angular diameter of 10 arcs ends and a distance of 50,000 meters?
the linear diameter of the object is approximately 77.28 meters for an object that has an angular diameter of 10 arcs ends and a distance of 50,000 meters
The angular diameter of an object is the angle it subtends at the observer's eye, while the linear diameter is the physical size of the object. We can use trigonometry to relate the angular diameter, the distance to the object, and the linear diameter.
If an object has an angular diameter of 10 arc seconds (10"), it subtends an angle of:
θ = 10" / 3600 = 0.0027778 radians
The linear diameter, D, is related to the distance, d, and the angle, θ, by the formula:
tan(θ/2) = D/2d
Rearranging this formula gives:
D = 2d * tan(θ/2)
Substituting the given values, we get:
D = 2 * 50,000 m * tan(0.0027778/2)
D = 2 * 50,000 m * tan(0.0013889)
D = 2 * 50,000 m * 0.0007728
D = 77.28 m
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a pipe of external and internal diameters of 42cm and 28cm respectively has a mass 1600kg find its density in SI unit
The density of the pipe is 1.17 × [tex]10^{6}[/tex] kg/m³ (in SI units).
What is density?
To find the density of the pipe, we need to know its volume and mass. We can calculate the volume of the pipe using the formula for the volume of a cylinder:
Volume of cylinder = π * (radius)² * height
where the radius is half of the diameter.
The external radius of the pipe is 21 cm (0.21 m), and the internal radius is 14 cm (0.14 m). We don't know the height of the pipe, but we can assume that it is equal to the difference between the external and internal radii, since the pipe is assumed to have uniform thickness. Therefore, the height of the pipe is:
Height = (external radius) - (internal radius)
Height = 0.21 m - 0.14 m
Height = 0.07 m
Using these values, we can calculate the volume of the pipe:
Volume = π * ((0.21)² - (0.14)²) * 0.07
Volume = 0.00137 m³
Now we can find the density of the pipe by dividing its mass by its volume:
Density = Mass / Volume
Since the mass is given as 1600 kg, we have:
Density = 1600 kg / 0.00137 m³
Density = 1.17 × [tex]10^{6}[/tex] kg/m³
Therefore, the density of the pipe is 1.17 × [tex]10^{6}[/tex] kg/m³ (in SI units).
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Complete question is: a pipe of external and internal diameters of 42cm and 28cm respectively has a mass 1600kg. the density of the pipe is 1.17 × [tex]10^{6}[/tex] kg/m³ (in SI units).