The equivalent resistance is always less than the smallest resistor in the parallel network.
Then the inverse of the equivalent resistance of two or more resistors connected in parallel is the algebraic sum of the inverses of the individual resistances.
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, \(R_t\) is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
Note that the equivalent resistance is always less than the smallest resistor in the parallel network so the total resistance, \(R_t\) will always decrease as additional parallel resistors are added.
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in which position will three-fourths of the illuminated side of the moon be visible from earth? a b c d
Answer: The position from which three-fourths of the illuminated side of the moon will be visible from Earth is an option (B) - Gibbous.
Explanation: The Moon appears gibbous when more than half but not all of its illuminated side is visible from Earth.
The Moon is a celestial body that orbits Earth as Earth's only permanent natural satellite. The Moon is one of the brightest and largest objects in the night sky, with a diameter of 3,475 km.
The Moon appears to change shape as it orbits Earth, going through several phases throughout the lunar month. The illuminated side of the moon is the portion of the moon that is lit up by the sun.
The Moon is not actually glowing, but rather it reflects sunlight. We cannot see the Moon when it is not illuminated.
The Moon's phases depend on its position relative to the Sun and Earth, causing the illuminated side of the Moon to face Earth from different angles.
Thus, the position from which three-fourths of the illuminated side of the moon will be visible from Earth is an option (B) - Gibbous.
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For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.50-mm-long, 0.460 mg flea can reach a height of 15.0 cm in a single leap. a) Calculate the kinetic energy per kilogram of mass. b) If a 79.0 kg, 2.00-m-tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump
Answer:
1.47 J/kg
120 m
Explanation:
The maximum height it can jump in a single leap 15 cm, = 0.15 m
to get the kinetic energy per kg of mass, we need to find the takeoff speed. The take off speed can be calculated by using the formula
v = \(\sqrt{2gh}\)
where h = 0.15
v = \(\sqrt{2 * 9.81 * 0.15}\)
v = \(\sqrt{2.94}\)
v = 1.715 m/s
energy per kg of mass =
1/2 * (1.715) = 1.47 J/Kg
TJe height a human can jump when compared to the flea is
2 m/2.5 mm * 15 cm =
2/0.0025 *0.15 =
800 * 0.15 = 120 m
An ideal gas undergoes isothermal compression, which reduces its volume by 1800 m3. The final pressure and volume of the gas are 1477.5 torr bar and 2140 cm3, respectively. Calculate the original pressure of the gas in (a) torr, (b) Pa.
The original pressure of the gas is approximately 1.758 torr.
To calculate the original pressure, we use Boyle's Law equation, which states that the product of initial pressure and volume is equal to the product of final pressure and volume for an isothermal process. By rearranging the equation and substituting the given values, we can solve for the original pressure. The result is approximately 1.758 torr.
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A fixed system of charges exerts a force of magnitude 22 N on a 5.0 C charge. The 5.0 C charge is replaced with a 10 C charge. What is the exact magnitude of the force (in N) exerted by the system of charges on the 10 C charge
The exact magnitude of the force (in N) exerted by the system of charges on the 10 C charge is 88 N.
What is the exact magnitude of the force exerted?
The exact magnitude of the force (in N) exerted by the system of charges on the 10 C charge is calculated by applying Coulomb's law as follows;
F = kq²/r²
where;
k is the Coulomb's constantq is the magnitude of the charger is the distance of the chargeSince the charged is fixed, the distance will be constant, and the new equation becomes;
kq² = Fr²
q² = Fr²/k
q = √ ( Fr²/k )
q = √F x √ (r²/k)
q₁/√F₁ = q₂/√F₂
when the new charge is 10 C, the new force is calculated as;
√F₂ = ( q₂ x √F₁ ) / q₁
√F₂ = ( 10 x √22 ) / 5
√F₂ = 9.38083
F₂ = (9.38083)²
F₂ = 88 N
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A piston-cylinder device initially contains a mixture of saturated water and saturated steam at 200kPa. The total mass is 0.5 kg and the volume is 0.3 m
∧
3. Now the fluid is heated up under the same pressure, until the volume doubles. Find (a) the initial temperature (b) the final temperature (c) the total internal energy change of the fluid during this process. (d) Also sketch the process on the P-v and I-v diagrams. including the initial state, the final state, and the path.
(a) The initial temperature is 373.95 K.
(b) The final temperature is 546.15 K.
(c) The total internal energy change of the fluid during this process is 515.4 kJ.
(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.
(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.
(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.
(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.
(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.
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My teacher ask me to slove this question please help me.
Answer:
Green ring
in my point of view
Answer:
blue
Explanation:
the blue will open the yellow, green, and red because the other colours are not connecting
An Amplitude Modulated signal comprised of the following two signals: v
i
(t)=90cos(2π500t)V v
c
(t)=100cos(2π100000t)V a) Find the modulation index (m) b) Find the carrier frequency, upper and lower-side band frequencies c) If v
i
(t)=120cos(2π500t)V, calculate the percentage modulation and explain the effects on the AM
A) The modulation index is undefined. B) The lower-side band (LSB) frequency is 99,500Hz. C) Percentage modulation = 20%
a) The modulation index (m) may be calculated through the usage of the formulation:
m = (Vmax - Vmin) / (Vmax + Vmin)
where Vmax and Vmin are the most and minimum amplitudes of the modulating signal, respectively.
In this case, the modulating sign is vi(t) = 90cos(2π500t) V. The most amplitude (Vmax) is 90 V, and the minimum amplitude (Vmin) is -90 V (for the reason that the cosine feature varies between -1 and 1).
Therefore, the modulation index is:
m = (Vmax - Vmin) / (Vmax + Vmin) = (90 - (-90)) / (90 + (-90)) = 180 / 0 = undefined
b) The carrier frequency is fc =100,000 Hz.
The higher-aspect band (USB) frequency is given via:
fUSB = fc + fm =100,000 Hz + 500 Hz = 100,500 Hz
The decrease-aspect band (LSB) frequency is given by way of:
fLSB = fc - fm = 100,000 Hz - 500 Hz = 99,500 Hz
c) If vi(t) = 120cos(2π500t) V, we will calculate the share modulation using the components:
Percentage modulation = (Vm - Vc) / Vc * 100%
in which Vm is the peak amplitude of the modulating sign and Vc is the peak amplitude of the service signal.
In this situation, Vm = 120 V and Vc = 100 V.
Percentage modulation = (Vm - Vc) / Vc * 100% = (120 - 100 ) / 100 * 100% = 20%
Increasing the modulation amplitude increases the percentage modulation. This outcome is in a larger version within the amplitude of the AM signal, which could result in extended sidebands and a more said modulation impact. The audio content of the modulating signal turns more distinguished, ensuing in a more potent modulation effect inside the AM signal.
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Cyclist A and B cycled atan average speed of 15 km/h and 20 km/h respectively from the same starting point X on the same route. Cyclist B started his journey 6 mins after cyclist A had started. i) What were the distances travelled by cyclist A and B 1 h cyclist A had started his journey from point X? ii) Dis cyclist B overtake cyclist A within the first hour of cyclist A's journey?
Answer:
i. Cyclist A travelled 15 km 1 h cyclist A had started his journey from point X
Cyclist B travelled 18 km 1 h cyclist A had started his journey from point X
ii. cyclist B overtake cyclist A 6 km from the same starting point X.
Explanation:
From the question,
- Cyclist A and B cycled at an average speed of 15 km/h and 20 km/h respectively.
- Cyclist B started his journey 6 mins after cyclist A had started.
Let the cyclist A time be t.
Then, we can write that
For Cyclist A
Speed = 15 km/h
Time = t mins
For Cyclist B
Speed = 20 km/h
Time = (t - 6) mins
i) To determine the distances travelled by cyclist A and B 1h cyclist A had started his journey,
For Cyclist A
Speed = 15km/h
Time = 1h = 60 mins
From the formula
Speed = Distance / Time
Then,
Distance = Speed × Time
Putting the values into the equation,
Distance = 15km/h × 1h
Distance = 15 km
∴ Cyclist A travelled 15 km 1 h cyclist A had started his journey from point X
For cyclist B
Speed = 20km/h
Time = 1h - 6mins = 60mins - 6mins = 54mins = 54/60 hour = 0.9 h
Also, from
Distance = Speed × Time
Putting the values into the equation
Distance = 20km/h × 0.9h
Distance = 18 km
∴ Cyclist B travelled 18 km 1 h cyclist A had started his journey from point X
ii) To determine the distance cyclist B overtake cyclist A, that is, when the distance covered by cyclist A equals that covered by cyclist B.
First, we will determine the time at which the distances covered by both cyclists were equal.
From
For Cyclist A
Speed = 15 km/h
Time = t hour
Distance = Speed × Time
Distance = 15t km
For Cyclist B
Speed = 20 km/h
Time = (60t - 6) mins = (t - 0.1) hour
Distance = 20 × (t - 0.1) = (20t - 2) km
Equate the distances
15t = 20t - 2
15t - 20t = -2
-5t = -2
5t = 2
t = 2/5
t = 0.4 hour
Hence, cyclist B overtake cyclist A 0.4 hour after cyclist A had started.
For the distance cyclist B overtake cyclist A,
From
Distance = (20t - 2) km
Distance = (20×0.4 - 2) km
Distance = (8 - 2) km
Distance = 6 km
Hence, cyclist B overtake cyclist A 6km from the same starting point X.
following the inelastic collision of the carts, the two carts fuse into an object with double the mass of the original cart. there is then a frictional section of the track to slow the cart to a stop over 20 meters. describe the amount of work due to friction and frictional force exerted to stop both carts over 20 meters. calculate the work due to friction and frictional force. in your calculations, be sure to explicitly state the equations you use and what values you will be substituting to calculate the final value.
In the inelastic collision of the carts, the two carts fuse into an object with double the mass of the original cart. The works due to friction and the frictional force exerted to stop the two carts over 20 meters is 980 Joules.
What is inelastic collision?Generally, To calculate the work due to friction and the frictional force exerted to stop the two carts over 20 meters, we will need to know the coefficient of friction between the carts and the track, the mass of the two carts, and the acceleration due to gravity.
The equation for work due to friction is:
Work = Friction force * Distance
The equation for the friction force is:
Friction force = Coefficient of friction * Normal force
The normal force is equal to the mass of the two carts multiplied by the acceleration due to gravity:
Normal force = Mass * Gravity
We can substitute these equations into the equation for work to get:
Work = (Coefficient of friction * Mass * Gravity) * Distance
To calculate the work, we need to substitute in the values for the coefficient of friction, mass, gravity, and distance. Let's say the coefficient of friction is 0.5, the mass of the two carts is 10 kilograms, and the acceleration due to gravity is 9.8 meters per second squared. The distance the carts travel is 20 meters.
Substituting these values into the equation for work, we get:
Work = (0.5 * 10 * 9.8) * 20
Solving this equation gives us a final value for the work of: 980 Joules.
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What unit of mass measurement would I use to measure a small pebble

Answer:
probably ounces or grams
Explanation:
A boat of mass 1,300 kg that is moving at a speed of 6 m/s and
a speedboat of mass 850 kg that is moving at a speed of 25
m/s. What's the total linear momentum of the boat and the
speedboat?
Answer: 29,050
Explanation:
If you notice this is a add and multiply problem .
All you are doing is finding the total linear momentum .
You would multiply 1,300 x 6= 7800
Then you would also multiply 850 x25=29050
You would add both of them (7800+21250)
And your final answer would be 29050kg •m/s
the first law of thermodynamics (select all that apply) multiple select question. states that the amount of energy is constant. explains that energy can be changed from one form into another. describes why entropy increases as a result of energy transformation. explains that energy transformations decrease the amount of usable energy.
The first law of thermodynamics outlines how energy can be converted from one form into another while also stating that the amount of energy remains constant. claims that the energy content is constant.
What is the energy balance of the first law of thermodynamics?The first law of thermodynamics states that during an interaction between a system and its surroundings, the system must gain precisely as much energy as the surrounds lose during the contact.
What are the implications of the first law of thermodynamics?The first rule of thermodynamics is sometimes known as the law of conservation of energy. The first law asserts that although energy can be transformed from one form to another, it cannot be created or destroyed.
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Take 2 glass tube of diameter 4cm each close one end of each tube by tying a piece of cotton cloth to it
To set up two glass tubes with closed ends, we can follow the given instructions by using a cotton cloth. Firstly, acquire two glass tubes with a diameter of 4 cm each. These tubes should be open at one end.
Next, take a piece of cotton cloth and securely tie it around the open end of each tube. Ensure that the cloth tightly covers the opening, creating a closed end.
The purpose of closing one end of the tube is to create a container or chamber that can be used for various experiments or demonstrations. By closing one end, we restrict the flow of any substances placed inside the tube, allowing for controlled observations or reactions within the confined space.
It's important to note that the cotton cloth should be tied tightly enough to prevent any air or substance from escaping or entering the tube. This ensures that the closed end remains sealed during experiments.
Therefore, With these prepared glass tubes, you can now explore different experiments involving gases, pressure, or other reactions that require a closed chamber. The closed-end design allows for the containment and manipulation of substances within the tubes, enabling a range of scientific investigations.
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PLEASE HELP!!!
When Nascha spent a sunny day at the beach, she noticed that the wind direction changed from morning to night.
What process caused this?
A. land absorbing solar energy
B. land and water absorbing solar energy equally
C. land and water absorbing solar energy unequally
D. different numbers of clouds in the sky in the morning and at night
water absorbing solar energy
The wind direction changed from morning to night because land and water absorbing solar energy unequally.
Convection currentConvection is said to occur when there is heat transfer by an actual movement of participles from place to place. The movement of air mass (wind) is affected by the relative amounts of solar energy absorbed by the land and sea.
Hence, the wind direction changed from morning to night because land and water absorbing solar energy unequally.
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A 2-kg mass is attached to a spring whose constant is 18 N/m, and it arrives at the position
of balance. From
t = 0, an external force equal to
f(t)=2sin2t.
Find the resulting equation of motion.
The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).
What is equation of motion?
The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.
To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.
The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.
In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.
Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).
Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).
Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).
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A person pushes a 60 kg grocery cart, initially at rest. across a parking lot. He exerts a pushing force directed 20" below the horizontal. If the person pushes the cart with a force of 300 N for 5 m across horizosal ground and then releases the cart, the car has a speed of 3 m/s What is the work done by friction during this motion! (A) - 1230 (B)-1140J (C) 1140) (D) 1230)
A person pushes a grocery cart with a force of 300 N for 5 m, resulting in a speed of 3 m/s. The work done by friction is approximately -1140 J. (Answer: B)
The work done by friction can be calculated using the equation: work = force × distance × cos(θ), where θ is the angle between the force and the direction of motion.
In this case, the force of friction opposes the motion and is in the opposite direction of the pushing force. Since the pushing force is 20" below the horizontal, the angle θ is 20°. Therefore, the work done by friction is given by: work = (-300 N) × (5 m) × cos(20°).
Calculating this expression gives a result of approximately -1140 J. Hence, the correct answer is (B) -1140 J, indicating that the work done by friction is negative, as it acts against the motion of the cart.
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how much work dose billy perform if he pushes the 800N stalled car a distence of 25m?
Answer:
20,000 J
Explanation:
Work = Force multiplied by Displacement
The work done on a object can only be calculated when the applied force is causing an object to move in the direction the force is being applied towards.
The given information:
Billy applies a form of 800N on a staller car and the total distance it was pushed was 25 meters.
To calculate the work done, substitute the given information into the formula for work.
Work = (800 N) × (25 m)
Work = 20,000 J
Note: Remember the SI unit for Work is Joules (J).
what are subtomic particles
Answer:
In the physical sciences, subatomic particles are smaller than atoms. They can be composite particles, such as the neutron and proton; or elementary particles, which according to the standard model are not made of other particles. Particle physics and nuclear physics study these particles and how they interact.
Explanation:
Answer:
In physical sciences, subatomic particles are smaller than atoms. They can be composite particles, such as the neutron and proton; or elementary particles, which according to the standard model are not made of other particles.
How is fishpond raising affected by global climate change?
Answer:
It creates bad air so that’s like air pollution I guess
Explanation:
The diagram below a free body diagram picturing a cyclist moving along a highway. 4 forces represented by arrows A,B,C, and D are acting on the cyclist as she pedals. The arrow that would best represent the normal force is:
Jorge Masvidal weighs 77.1107 how many grams?
Nuclear engineer Meena Mutyala argues that nuclear power is an environmentally technology _____, operating with essentially no emissions.
A. lavish
B. culpable
C. antagonistic
D. benign
Nuclear engineer Meena Mutyala argues that nuclear power is an environmentally technology benign, operating with essentially no emissions.
Nuclear fusion, commonly referred to as fission of uranium nuclei, is the source of nuclear energy. The outcome is the production of heat, which subsequently produces steam, which produces energy in a turbine generator. Because nuclear energy plants don't burn fuel, they don't produce greenhouse gas emissions.
Nuclear engineers are researching new uses for nuclear energy or material. They look into nuclear accidents and gather data to aid in the creation of preventative measures. Others look into the practicality of several methods for utilizing, managing, and recovering radioactive material.
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Assume that a particular loudspeaker emits sound waves equally in all directions; a total of 0.80 watt of power is in the sound waves.
(a) What is the intensity at a point 10. m from this source?
________W/m2
(b) What is the intensity level 18 m from this source?
________dB
The intensity at a point 10 m from the source is approximately 6.36 x 10^-4 W/m^2.
The intensity level at a point 18 m from the source is approximately 88.03 dB.
(a) To calculate the intensity at a point 10 m from the source, we can use the formula:
Intensity = Power / (4πr^2)
where Power is the total power emitted by the loudspeaker and r is the distance from the source.
The power emitted is 0.80 watts and the distance is 10 m, we can substitute these values into the formula:
Intensity = 0.80 / (4π(10^2))
Intensity ≈ 0.80 / (400π)
Using a calculator, we can evaluate this expression:
Intensity ≈ 0.80 / 1256.64
Intensity ≈ 6.36 x 10^-4 W/m^2
Therefore, the intensity at a point 10 m from the source is approximately 6.36 x 10^-4 W/m^2.
(b) The intensity level (IL) in decibels (dB) can be calculated using the formula:
IL = 10 log10(I / I0)
where I is the intensity at a particular point and I0 is the reference intensity, which is typically set at the threshold of human hearing (I0 = 1 x 10^-12 W/m^2).
The intensity at a point 18 m from the source is already calculated as 6.36 x 10^-4 W/m^2, we can substitute these values into the formula:
IL = 10 log10((6.36 x 10^-4) / (1 x 10^-12))
Using a calculator, we can evaluate this expression:
IL ≈ 10 log10(6.36 x 10^8)
IL ≈ 10 x 8.803
IL ≈ 88.03 dB
Therefore, the intensity level at a point 18 m from the source is approximately 88.03 dB.
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(a) The intensity at a point 10 m from the source is approximately 0.00637 W/m².
(b) The intensity level 18 m from the source is approximately 106 dB.
(a) The intensity at a point 10 m from the source can be calculated using the formula:
Intensity = Power / (4πr²)
where r is the distance from the source. Plugging in the given values:
Intensity = 0.80 W / (4π(10 m)²)
Intensity ≈ 0.00637 W/m²
(b) The intensity level can be calculated using the formula:
Intensity Level = 10 log₁₀ (Intensity / I₀)
where I₀ is the reference intensity, which is typically 10⁻¹² W/m². Plugging in the given values:
Intensity Level = 10 log₁₀ (0.00637 W/m² / 10⁻¹² W/m²)
Intensity Level ≈ 106 dB
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s 4.20 g bullets at 965 m>s. the mass of the hunter (including his gun) is 72.5 kg, and the hunter holds tight to the gun after firing it. find the recoil velo
The recoil velocity of the gun if a bullet of mass 4.2 g was fired at 965 m/s is 0.056 m/s.
What is recoil velocity?
This is the backward velocity of a gun when it is fired.
To calculate the recoil velocity of the gun, we use the formula below.
Formula:
v = mV/M......... Equation 1Where:
m = Mass of the bulletV = Velocity of the bulletM = Mass of the gunv = Recoil velocity of the gunFrom the question,
Given:
m = 4.2 g = 0.0042 kgV = 965 m/sM = 72.5 kgSubstitute these values into equation 1
v = (0.0042×965)/72.5v = 0.056 m/s.Hence the recoil velocity of the gun is 0.056 m/s.
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What velocity must a 1240 kg car have in order to have the same
momentum as a 3660 kg truck traveling at a velocity of 12 m/s to the
west?
Answer:
90
Explanation:
cause
On that same 30. °C day, you blow the same whistle with a frequency of
3.5x10^4 Hz. What is the wavelength of the sound?
The sound would have a wavelength of about 9.8 * 10^-3 m.
What is the wavelength?The wavelength is a characteristic of a wave that describes the distance between two successive points in the wave that are in phase, or the distance over which the wave's shape repeats. It is typically denoted by the Greek letter lambda (λ) and is measured in meters (m) or other units of length.
Given that the speed of sound in air is 343 m/s
v= λf
λ = v/f
λ = 343 m/s/3.5x10^4 Hz
λ = 9.8 * 10^-3 m
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A disk with a uniform positive surface charge density lies in the x−y plane, centered on the origin. Along the positive z axis, the direction of the electric field is: a. in the +z direction. b.in the −z direction. c. in the +x direction. d. in the +y direction. e. there is no field along the positive z axis
There is no electric field along the positive z axis for this configuration.
Why is the electric field along the positive z axis of interest in this scenario?The correct answer is (e) there is no electric field along the positive z axis. This is because the disk has a uniform positive surface charge density and is centered on the origin in the x-y plane.
Since the disk is symmetric around the z axis, the electric field contributions from all points on the disk along the z axis cancel each other out.
The electric field vectors from opposite sides of the disk point in opposite directions along the z axis, resulting in a net electric field of zero.
There is no electric field along the positive z axis for this configuration.
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Section 1 - Question 30
Randy works out every day because he wants to make the football team. Randy's
purpose for working out is described as an example of
A
motivation
B
organization
C
overload
D
sportmanship
The purpose of working out is described as an example of motivation, as Randy works out every day because he wants to make the football team, so option A is correct.
What is the Motivation?In humans and other animals, motivation is what causes an activity to start, continue, or end at a specific time. The interpretation of motivational states as internal forces that increase an agent's propensity to engage in goal-directed behavior is common. Conflicting theories exist on the makeup of motivated moods. They are known as content theories, and they aim to explain the typical or consistent motives.
Behaviorist theories seek to elucidate behavior solely in terms of the relationship between the circumstance and outward, apparent conduct, avoiding any explicit mention of conscious mental states.
Therefore, the purpose of Randy's working out daily is described as an example of motivation, he is motivated to make a football team.
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Two protons are 11.86 fm apart. (1 fm= 1 femtometer = 1 x 10-15 m.) What is the ratio of the electric force to the gravitational force on one proton due to the other proton?
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Firstly, we need to write the formulas for both the gravitational force and electric force. Our gravitational force is:
\(F_g=G\frac{m_1m_2}{d^2}\)And the electric force is:
\(F_e=k\frac{q_1q_2}{d^2}\)We can see that these forces have almost equal formulas. What we want is Fe/Fg. Before this, we can simplify the forces, as both particles have the same charge and mass. We're left with the following:
\(F_g=G\frac{m^2}{d^2}\)And
\(F_e=k\frac{q^2}{d^2}\)By dividing both, we get
\(\frac{F_e}{F_g}=\frac{(\frac{kq^2}{d^2})}{(\frac{Gm^2}{d^2})}=\frac{kq^2}{d^2}*\frac{d^2}{Gm^2}\)We have d^2 on the numerator and denominator. We can elimante the distance then, as it is different from zero. We have the following:
\(\frac{F_e}{F_g}=\frac{kq^2}{Gm^2}\)We can then replace our values with the constants. k is Coulomb's constant, q is the charge of a proton, G is Newton's constant, and m is the mass of a proton. We finally get
\(\frac{F_e}{F_g}=\frac{(9*10^9)*(1.6*10^{-19})^2}{(6.67*10^{-11})*(1.67*10^{-27})^2}=1.2386*10^{36}\)So, the electric force is 1.2386*10^36 times higher than the gravitational. The most interesting about this, is that it doesn't depend on the distance the two of them are apart.
Give your opinion regarding behavioral modeling in Verilog HDL which could give the most effective way of describing the digital circuits. (2 marks) (b) Give the difference between using the general-purpose processor and digital design in developing an electronic application. (2 marks) (c) There are four principals to effectively and quickly achieve the design. With an example, explain the regularity principle using your own words. (4 marks) (d) Discuss how a two-input LUT in the FPGA implements a logic f = a b + ab
The two-input LUT is a very versatile logic element that can be used to implement a wide variety of functions.
a) Behavioral modeling in Verilog HDL is a high-level language that allows you to describe the behavior of a digital circuit without worrying about the underlying hardware implementation. This makes it a very effective way of describing digital circuits, as it allows you to focus on the functionality of the circuit without getting bogged down in the details of how it will be implemented.
b) The main difference between using a general-purpose processor and digital design in developing an electronic application is that a general-purpose processor is designed to be able to execute a wide variety of instructions, while digital design is specifically designed to implement a particular function. This means that a general-purpose processor may not be the most efficient way to implement a specific function, as it may require more hardware resources than a custom-designed digital circuit.
c) The four principles for effectively and quickly achieving the design are:
Regularity: The design should be as regular as possible. This means that the design should be made up of a small number of repeated units, rather than a large number of unique units.
Simplicity: The design should be as simple as possible. This means that the design should be easy to understand and implement.
Efficiency: The design should be as efficient as possible. This means that the design should use the minimum amount of hardware resources.
Verifiability: The design should be verifiable. This means that the design should be able to be checked to ensure that it meets its specifications.
The regularity principle can be explained by the following example. If you are designing a digital circuit to add two numbers, you could use a design that is made up of a small number of repeated units, such as adders and registers. This would be a more regular design than a design that used a large number of unique units, such as a custom-designed adder. A more regular design is easier to understand and implement, and it is also more likely to be efficient.
d) A two-input LUT in the FPGA implements a logic f = a b + ab by storing the truth table for the function in its memory. When the inputs to the LUT are applied, the LUT will output the corresponding value from its memory.
For example, if the inputs to the LUT are a = 0 and b = 1, the LUT will output the value 1, because the truth table for f shows that the output is 1 when a = 0 and b = 1.
The two-input LUT is a very versatile logic element that can be used to implement a wide variety of functions. It is a key building block in many FPGA designs.
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