Answer:
at night unplug EVERYTHING
explanation
when the power is off on a device it still may using a little electricity to recharge the battery inside or keep a clock running, etc. usually there are a lot of things plugged in a home so even if each thing is not using a lot of electricity, ALL the things that plugged in, put together, maybe using A LOT.
one cycle of the power dissipated by a resistor ( ) is given by this periodic signal repeats in both directions of time. what is the amplitude of the pwm voltage signal applied across the 500- resistor
The maximum amplitude of the PWM voltage signal applied across the 500-ohm resistor is: Vmax=2*I*R=500*I
The power dissipated by a resistor during one cycle is given by the periodic signal. The PWM voltage signal applied across a 500 Ω resistor is analyzed in this question. The amplitude of the signal is determined below.
Pulse Width Modulation is the PWM. It's a process for varying the pulse width of a square wave, which changes the percentage of time the signal is high to low. The pulse width can be varied to create the desired output signal level. It is frequently utilized in applications where analog signals are required, including control systems, power supplies, and audio systems. The maximum voltage Vm of the PWM voltage signal can be found by calculating the RMS value of the pulse. The root-mean-square value is the square root of the mean of the square of the signal over a given period. If we use a pulse that has a duty cycle of 50%, this formula simplifies to: Vmax=Vm+0.5Vdc where Vdc is the average value of the pulse.
The maximum amplitude can be determined using this formula: Vmax=I*R where I is the current and R is the resistance. The current flowing through the resistor is proportional to the voltage applied to it, and the voltage is proportional to the duty cycle of the PWM signal, which varies from 0 to 1. Thus, the voltage applied to the resistor is proportional to the duty cycle and can be expressed as: V=Vmax*D where D is the duty cycle. Thus, the amplitude of the PWM voltage signal applied across a 500-ohm resistor is: Vmax=2*I*R=500*I. Using this equation, we can determine the maximum amplitude of the PWM voltage signal applied across the 500-ohm resistor.
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engineers at the university of texas at austin are developing an advanced locomotive propulsion system that uses a gas turbine and perhaps the largest highspeed flywheel in the world in terms of the energy it can store. the flywheel can store 4.8 * 108 j of energy when operating at its maximum rotational speed of 15,000 rpm. at that rate, the perimeter of the rotor moves at approximately 1,000 m/s. determine the radius of the flywheel and its rotational inertia.
The radius of the flywheel and its rotational inertia will be 0.64m and 389kgm² respectively.
What is the rotational inertia?Rotational inertia, also known as moment of inertia, is a measure of an object's resistance to rotational motion. It is similar to the concept of mass in linear motion. Just as mass is a measure of an object's resistance to linear motion, the moment of inertia is a measure of an object's resistance to rotational motion.
The moment of inertia of an object depends on its shape and mass distribution. Objects with more mass distributed farther from the axis of rotation have a higher moment of inertia than objects with the same mass but a more compact distribution of mass. The moment of inertia is measured in units of kilograms square meters (kg m²) in the SI system.
The radius will be:
= 1000 / 15000(2πrad / 60)
= 0.64m
The inertia will be:
= 2(4.8 × 10^8) / 100 (2π/60)
= 389kgm²
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a syringe containing an incompressible fluid is oriented vertically and the plunger slowly depressed. at which point is the kinetic energy the lowest?
The point at which the kinetic energy is lowest is 3 in the syringe containing an incompressible fluid that is vertically oriented and the plunger is slowly depressed.
The kinetic energy of an object is the energy it has due to its motion. When an object is in motion, it has kinetic energy. It is a scalar quantity that is proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is given as follows:
KE = 1/2mv²
Where m is the mass of the object and v is its velocity.
Points 1 and 2 have higher kinetic energy because the incompressible fluid is still being compressed in the syringe. Point D is incorrect because the kinetic energy of the incompressible fluid is not the same at all three points. Point E is incorrect because enough information has been provided. Therefore, when a syringe containing an incompressible fluid is vertically oriented and the plunger is slowly depressed, the kinetic energy is lowest at point 3.
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jasmin, a cyclist, accelerates from rest. after 8 s, the wheels have made 3 revolutions. (a) what is the angular acceleration of the wheels? (b) what is the angular velocity of the wheels after 8 s?
a. The angular acceleration of the wheels is 0.2945 rad/s². b. The angular velocity of the wheels after 8 seconds is 2.3560 rad/s.
Calculation:
a. The formula for angular acceleration is: α = (ω2 - ω1) / (t2 - t1) Whereα is angular acceleration, ω2 is final angular velocity, ω1 is initial angular velocity, t2 is final time, t1 is initial time. To calculate the angular acceleration, we can use the formula:α = (ω2 - ω1) / (t2 - t1)
The initial angular velocity of the wheels is zero since Jasmin starts from rest, soω1 = 0. We know that the wheels make 3 revolutions after 8 seconds, so the final angular velocity can be calculated as follows: ω2 = (3 revolutions / 8 s) x (2π radians / 1 revolution) = 2.3562 rad/s
Therefore,α = (2.3562 rad/s - 0 rad/s) / (8 s - 0 s) = 0.2945 rad/s². The angular acceleration of the wheels is 0.2945 rad/s².
b. To calculate the angular velocity of the wheels after 8 seconds, we can use the formula:ω = ω1 + αtWhereω is angular velocity,ω1 is initial angular velocity,α is angular acceleration, t is time. The initial angular velocity of the wheels is zero since Jasmin starts from rest, so ω1 = 0
We have already calculated the angular acceleration to be 0.2945 rad/s², and we know that the time is 8 seconds, soω = ω1 + αt = 0 + (0.2945 rad/s²) x (8 s) = 2.3560 rad/s. Therefore, the angular velocity of the wheels after 8 seconds is 2.3560 rad/s.
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a negatively charged point particle is placed initially at rest in a uniform electric field as a result of being placed in the electric field which direction will it move
When a negatively charged point particle is placed initially at rest in a uniform electric field, it will move towards the direction of the electric field.
An electric field is a vector field that represents the force exerted by charged particles over each other. It is generated by charges, and it affects other charged particles that are in the space around it. The direction of the electric field is given by the direction of the force that is experienced by a small positive test charge placed in that field. If the force on the test charge is towards the positive charge that creates the field, the electric field will point towards the positive charge. If the force on the test charge is towards the negative charge that creates the field, the electric field will point towards the negative charge.
When a negatively charged particle is placed in the electric field, it experiences a force in the direction opposite to the direction of the electric field, this is because the negatively charged particle is attracted towards the positively charged particles that generate the field, and so it moves towards them. Therefore, the negatively charged particle moves towards the direction of the electric field. When a positively charged particle is placed in the electric field, it experiences a force in the direction of the electric field. This is because the positively charged particle is attracted towards the negatively charged particles that generate the field, and so it moves towards them. Therefore, the positively charged particle moves towards the direction opposite to the direction of the electric field.
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We were just introduced to electricity in physics and I have some questions:
1. Since electrons can be transferred from our hair to the balloon, can electrons also be transferred from the balloon to our hair? (Do questions always say whether an object is positive or negative charge)
2. Do electrons stay in place since balloons are rubber insulators?
3. What point do neutrons serve? Are they just there?
4. Are objects in constant exchange of energy with one another? Whenever they come in contact they exchange electrons until equal?
1 - Since electrοns can be transferred frοm οur hair tο the ballοοn , electrοns cannοt be transferred frοm ballοοn tο οur hair because. This is an illustratiοn οf charging by cοnductiοn.
2 - Since the rubber οn the ballοοn is significantly less cοnductive than the hair, electrοns will nοt easily escape the ballοοn because οf this.
3 - Neutrοns are electrically neutral , neutrοns dοesn't participate in this prοcess.
What is charging by cοnductiοn?A charged οbject must cοme intο cοntact with a neutral οbject tο cοnduct electricity. As a result, when twο charged cοnductοrs cοme intο cοntact, the charge is split between the twο cοnductοrs, charging the uncharged cοnductοr.
When twο neutral οbjects are rubbed against οne anοther, electrοns are transferred. The οbject that has a strοnger affinity fοr electrοns will take electrοns frοm the οther οbject, and the twο becοme charged in οppοsitiοn. In this instance, the electrοns frοm the hair are taken up by the ballοοn , which nοw has an excess οf electrοns and a negative charge cοmpared tο the hair's current electrοn shοrtage and pοsitive charge.
2- Since the rubber οn the ballοοn is significantly less cοnductive than the hair, electrοns will nοt easily escape the ballοοn because οf this.
3- Neutrοns are electrically neutral , neutrοns dοesn't participate in this prοcess.
4-Insulating materials may becοme electrically charged when they cοme intο cοntact with οne anοther. Negatively charged electrοns can "rub οff" οne material and "rub οn" tο anοther. After bοth things have the same quantity οf οppοsite charges, the substance that gets electrοns becοmes negatively charged, and the material that lοses electrοns becοmes pοsitively charged.
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HELP ME PLEASE!!!
Which 2 statements are true about this chemical reaction that forms acid rain?
However, in general, acid rain is formed when sulphur dioxide (SO2) and nitrogen oxides (NOx) are emitted into the atmosphere by human activities, such as burning fossil fuels.
Which of the following is incorrect about the main cause of acid rain?The erroneous statement among the following is : Acid rain is largely because to oxides of nitrogen and sulphur The greenhouse effect is to blame for the world's warming. Infrared radiation from the sun cannot reach earth due to the ozone layer.
What does acid rain consist of ?Nitric and sulphuric acids are created when the gases nitrogen oxides and sulphur dioxide interact with the minute droplets of water in clouds. The rain from these clouds falls as very weak acid known as 'Acid rain'.
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Question:
"Which two of the following statements are true about the chemical reaction that forms acid rain?
a. Sulfur dioxide and nitrogen oxides react with water to form sulfuric acid and nitric acid.
b. Acid rain can cause damage to buildings and statues made of limestone or marble.
c. Acid rain is only a problem in areas with a high population density.
d. Acid rain has no effect on freshwater ecosystems."
a 5 kg toy train car is connected to a 3 kg toy train car. the 3 kg car is given an external force of 16 n. what is the tension in the rope connecting the cars?
A 5 kg toy train car is connected to a 3 kg toy train car. the 3 kg car is given an external force of 16 n. the tension in the rope connecting the two cars is 29 N.
The tension in the rope connecting two toy train cars A toy train car with a mass of 5 kg is connected to a toy train car with a mass of 3 kg. An external force of 16 N is applied to the 3 kg car.
Tension in the rope between the two toy cars is what we need to calculate. According to Newton’s 2nd law, force equals mass multiplied by acceleration. If the two cars are moving in the same direction with the same acceleration, the tension in the rope can be calculated as follows:
Force acting on the two cars is the external force that is applied on the 3 kg car which is equal to 16 N. In this case, both cars will have the same acceleration.
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a 67.97 kg student is standing atop a spring in an elevator that is accelerating upward at 3.66 m/s2. the spring constant is 2658 n/m. by how much is the spring compressed?
The spring is compressed by 0.70 m.
The 67.97 kg student standing atop a spring in an elevator that is accelerating upward at 3.66 m/s2 has a spring constant of 2658 n/m. The amount the spring is compressed can be calculated using the formula:
F = kx,
where F is the force, k is the spring constant, and x is the amount of compression.
Therefore, we can calculate the amount of compression in the spring as follows:
x = F/k = (67.97 kg * 3.66 m/s2)/2658 N/m = 0.70 m
Therefore, the spring is compressed by 0.70 m.
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To determine the location of her center of mass, a physics student lies on a lightweight plank supported by two scales 2.50m apart, as indicated in the figure . If the left scale reads 290 N, and the right scale reads 112 N. What is the student's mass and find the distance from the student's head to her center of mass.
The location of her centre of mass, a physics student lies on a lightweight plank supported by two scales 2.50m apart, as indicated in the figure. If the left scale reads 290 N and the right scale reads 112 N The student's mass is approximately 41 kg, and the distance from her head to her centre of mass is approximately 0.696 m.
To determine the student's mass, we can sum up the readings from both scales, which are measures of force (Newtons) and then convert it to mass using the gravitational acceleration (g = 9.81 m/s²).
Step 1: Calculate the total force acting on the plank:
Total Force = Force_left_scale + Force_right_scale
Total Force = 290 N + 112 N
Total Force = 402 N
Step 2: Convert the total force to mass using gravitational acceleration:
Mass = Total Force / g
Mass = 402 N / 9.81 m/s²
Mass ≈ 41 kg
Now, to find the distance from the student's head to her centre of mass, we'll use the principle of torque equilibrium.
Step 3: Set up the torque equation:
Torque_left_scale = Torque_right_scale
Force_left_scale × Distance_left_scale = Force_right_scale × Distance_right_scale
Let x be the distance from the student's head to her centre of mass. Then, the distance from the left scale to the centre of mass is x, and the distance from the right scale to the centre of mass is (2.50 - x).
Step 4: Plug in the known values and solve for x:
290 N × x = 112 N × (2.50 - x)
Step 5: Simplify the equation and solve for x:
290x = 112(2.50) - 112x
290x + 112x = 112(2.50)
402x = 280
x ≈ 0.696 m
The student's mass is approximately 41 kg, and the distance from her head to her centre of mass is approximately 0.696 m.
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A sound wave has a frequency of 687 Hz in air and a wavelength of 0.49 m. What is the temperature of the air? Relate the speed of sound in air to temperature in units of Kelvin, but answer in units of Celsius. Assume the velocity of sound at 0◦C is 333 m/s.
Answer in units of deg C.
The temperature of the sound air is approximately 17.57°C.
Soundwave calculation.
We can use the formula for the speed of sound in air to relate it to temperature:
v = 331.5 * sqrt(T/273.15)
where v is the velocity of sound in air, T is the temperature in Kelvin, and 273.15 K is the temperature in Kelvin at 0◦C.
We know the frequency and wavelength of the sound wave in air, and we can use the formula for the speed of sound to find the velocity of sound:
v = f * λ
where f is the frequency of the sound wave λ is the wavelength.
Plugging in the given values, we get:
v = 687 Hz * 0.49 m
v = 336.63 m/s
Now we can use the formula for the speed of sound to find the temperature:
336.63 m/s = 331.5 * sqrt(T/273.15)
Solving for T, we get:
T = (336.63/331.5)^2 * 273.15
T = 290.72 K
Converting from Kelvin to Celsius, we get:
T = 290.72 - 273.15
T ≈ 17.57°C
Therefore, the temperature of the air is approximately 17.57°C.
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logs sometimes float vertically in a lake because one end has become water-logged and denser than the other. what is the average density of a uniform-diameter log that floats with 20.0% of its length above water?
Uneven-diameter logs that float with 20.0% of their length above water have an average density of 0.8g/cm3. The density is the proportion of weight to capacity.
An item it's far less compact that liquid may be supported up liquid water, and hence it floats. More dense objects can sink when submerged in water. Less dense logs float whereas more thick logs sink. A body can change its condition of rest or motion by the application of force
Instead of obliquely reading from either the side, read the scale stick straight from of the end of both the log. → The diameter of a log is only ever calculated within the bark. Employ a log measuring rod to determine the log's small end's "diameter from within bark," also known as "d.i.b."
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A 750-kg roller coaster car drops from rest at a height of 90.0 m along a frictionless track. If the coefficient of kinetic friction due to braking along a horizontal track at the end of the ride is 0.720, over what distance does the car need to brake to come to a complete stop?
most of the mass of the solar system is located in which of the following? responses sun sun jupiter jupiter comets comets earth
Most of the mass of the solar system is located in the Sun. The Sun accounts for over 99% of the total mass of the solar system, with the remaining mass distributed among the planets, asteroids, comets, and other objects.
The solar system is a collection of objects that orbit around the Sun. It consists of the Sun, eight planets and their natural satellites, dwarf planets, asteroids, comets, and other small bodies. The eight planets, listed in order from the Sun, are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
The Sun is at the center of the solar system and contains more than 99% of the mass of the solar system. It is a giant ball of gas, mostly hydrogen, and helium, and is the source of heat and light for the entire solar system.
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pry on the power steering reservoir to adjust the tension of the power steering belt. true or false?
The statement "pry on the power steering reservoir to adjust the tension of the power steering belt" is: false.
The tension of the power steering belt is adjusted by adjusting the position of the power steering pump. There is a tension adjustment bolt on the power steering pump that is used to adjust the tension of the power steering belt. The adjustment bolt should be turned clockwise or counterclockwise to adjust the tension of the belt.
A belt tension gauge may be used to ensure that the belt is properly tensioned. A pry bar should not be used on the power steering reservoir to adjust the tension of the power steering belt. This could cause damage to the reservoir or other components of the power steering system. The reservoir should be inspected for damage or leaks, but it should not be used to adjust the tension of the belt.
In summary, the tension of the power steering belt should be adjusted by adjusting the position of the power steering pump, not by prying on the power steering reservoir.
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compare violet and red light from the visible spectrum. you are currently in a labeling module. turn off browse mode or quick nav, tab to items, space or enter to pick up, tab to move, space or enter to drop. which has the longer wavelength? which has the greater frequency? which has the greater energy? answer bank
In the following question, among the various parts to solve on visible spectrum.- A. Red light has a longer wavelength than violet light. B. Violet light has a higher frequency than red light. C. Violet light has greater energy than red light.
Violet and red light from the visible spectrum can be compared based on their wavelengths, frequencies, and energies. Violet light has a shorter wavelength, higher frequency, and greater energy than red light. The answers to the specific questions are: Which has the longer wavelength? Red light has a longer wavelength than violet light. Which has the greater frequency? Violet light has a higher frequency than red light. Which has the greater energy? Violet light has greater energy than red light. An HTML-formatted answer would look like this:
Violet and red light from the visible spectrum can be compared based on their wavelengths, frequencies, and energies. Violet light has a shorter wavelength, higher frequency, and greater energy than red light. The answers to the specific questions are:
Which has the longer wavelength? Red light has a longer wavelength than violet light.Which has the greater frequency? Violet light has a higher frequency than red light.Which has the greater energy? Violet light has greater energy than red light.For more such questions on visible spectrum.
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a value of mass is given as 14.6 g to 15.2 g. a value of volume is given as 2.4 to 2.8 m3. state the density using reasonable outer limits.
The density using reasonable outer limits is the density of an object can be determined by dividing its mass (measured in grams, g) by its volume (measured in cubic metres, m3). To calculate the density using the given values of mass and volume, we can use the following formula: Density = Mass/Volume.
Therefore, the density of the given object can be calculated using the outer limits of mass and volume, which are 14.6 g to 15.2 g and 2.4 m3 to 2.8 m3, respectively. The calculated density of the given object is in the range of 5.75 g/m3 to 5.45 g/m3.
To calculate the density, the mass and volume of the object must be known. Mass is a measure of how much matter an object has, and is calculated in grams (g). Volume, on the other hand, is a measure of the amount of space an object takes up, and is calculated in cubic metres (m3).
When these two values are known, the density can be calculated using the formula: Density = Mass/Volume. In this case, the given values of mass and volume are 14.6 g to 15.2 g and 2.4 m3 to 2.8 m3, respectively. By substituting these values into the formula, the density of the object can be calculated as follows:
Density = Mass/Volume
Density = 14.6 g/2.4 m3 = 5.75 g/m3
Density = 15.2 g/2.8 m3 = 5.45 g/m3
Therefore, the density of the given object is in the range of 5.75 g/m3 to 5.45 g/m3.
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a system releases 690 kj of heat and does 110 kj of work on the surroundings. part a what is the change in internal energy of the system?
A system releases 690 kj of heat and does 110 kj of work on the surroundings then part a what i the change in internal energy of the system -800 kJ.
The change in internal energy of the system can be calculated using the formula
ΔU = Q - W,
where ΔU is the change in internal energy, Q is the heat exchanged, and W is the work done.
In this case, the system releases 690 kJ of heat (Q = -690 kJ) and does 110 kJ of work on the surroundings (W = 110 kJ).
So, ΔU = -690 kJ - 110 kJ = -800 kJ.
The change in internal energy of the system is -800 kJ.
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when a toolbox weighing 5 newtons is resting on the ground next to a sawhorse, how much potential energy does it have?
The potential energy of a toolbox weighing 5 newtons is zero.
The potential energy of a toolbox weighing 5 newtons depends on its height relative to the ground.
Potential energy (PE) is equal to the mass of the object (m) multiplied by the acceleration due to gravity (g) multiplied by its height (h): PE = mgh.
Therefore, the potential energy of the toolbox is equal to 5*9.8*h (where h is the height of the toolbox above the ground).
Assuming that the toolbox is resting on the ground, it has zero potential energy since its height is zero. If the toolbox is lifted above the ground, however, then it will have a greater potential energy.
For example, if the toolbox is lifted to a height of 10 meters above the ground, then it will have a potential energy of 490 joules (5*9.8*10).
The potential energy of the toolbox when it is placed next to the sawhorse, the height of the sawhorse needs to be taken into consideration.
If the sawhorse is higher than the ground, then the toolbox will have a greater potential energy since it will be located at a greater height above the ground.
If the sawhorse is lower than the ground, then the toolbox will have a lesser potential energy than when it is resting on the ground.
The potential energy of a toolbox weighing 5 newtons when placed next to a sawhorse depends on the height of the sawhorse relative to the ground.
If the sawhorse is higher than the ground, then the toolbox will have a greater potential energy, and if it is lower than the ground, then the toolbox will have a lesser potential energy.
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a rising parcel of unstable air a rising parcel of unstable air can rise well into the mesosphere. cannot rise very far above the tropopause. can eventually escape into space. will not be slowed by entrainment.
A rising parcel of unstable air is an air mass that is warmer than the surrounding air and is therefore buoyant. It can rise until it reaches an area where its temperature is the same as the surrounding air, the tropopause.
The tropopause is the boundary between the troposphere (the lowest part of the atmosphere) and the stratosphere (the next layer of the atmosphere).
At this level, the air is very stable and so the air parcel cannot rise any further.
The air parcel may eventually escape into space, however it will not be slowed by entrainment, the process by which the parcel loses energy and slows down due to friction.
As the parcel rises, the atmospheric pressure decreases and the temperature increases due to the decrease in air density.
As it rises further, the air pressure decreases until it reaches the tropopause, where it then plateaus.
Once the air reaches the tropopause, it has reached a level of equilibrium and can no longer rise further as the temperature and pressure remain constant.
The tropopause also acts as a barrier to air moving from the stratosphere to the troposphere.
This is due to the temperature inversion that occurs when the temperature in the troposphere decreases with altitude while the temperature in the stratosphere increases with altitude.
This inversion creates a strong stratospheric temperature gradient, making it difficult for air to move between the two layers.
A rising parcel of unstable air can rise well into the mesosphere but cannot rise very far above the tropopause.
The tropopause acts as a barrier to air moving between the troposphere and the stratosphere due to its temperature inversion, and the air parcel may eventually escape into space without being slowed by entrainment.
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a 6 mf capacitor, a 10 mf capacitor, and a 16 mf capacitor are connected in parallel. what is their equivalent capacitance?
The equivalent capacitance of a 6 mF capacitor, a 10 mF capacitor, and a 16 mF capacitor connected in parallel is: 32 mF
This is because when capacitors are connected in parallel, their total capacitance is equal to the sum of their individual capacitances. The formula for calculating the equivalent capacitance (C) of capacitors connected in parallel is: C = C1 + C2 + C3 + ... In this example, C = 6 mF + 10 mF + 16 mF = 32 mF.
Capacitors are electrical components that store energy in the form of an electric field between two conductors (plates). When capacitors are connected in parallel, the electric field between the plates of each capacitor is the same, but the overall capacitance is increased due to the combined plate area of all the capacitors.
This increase in plate area is why the equivalent capacitance of the three capacitors in this example is 32 mF, which is larger than any of the individual capacitances.
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if you had a microscope which was capable of doing this, what would the frequency of electromagnetic radiation be, in hertz, that you would have to use?
Answer:
The electric power didn’t last very long. It lasted only as long as the chemical reaction in the battery.
Explanation:
A 23.3 kg boy is moving along a circular path with the constant speed of 2.7 m/s. What is the magnitude of the centripetal force acting on the boy if the radius of the circle is 12.9 m. Note : Calculate the answer to 3 (three) significant figures by presenting it in normal ( decimal) form. Don't forget to include the unit.
The centripetal force for the given question would be 16.3 N.
Explanation:
The magnitude of the centripetal force acting on a 23.3 kg boy moving along a circular path with a constant speed of 2.7 m/s and the radius of the circle is 12.9 m is 16.3 N (newton).
What is centripetal force?
Centripetal force is the net force acting on an object moving in a circular path toward the center of the circle. It always points towards the center of the circle, hence the name "center-seeking force".
What is the formula for centripetal force?
The formula for centripetal force is Fc = (mv²)/r, where Fc is the centripetal force, m is mass, v is velocity or speed and r is the radius of the circular path.
In the given question: Mass, m = 23.3 kgVelocity, v = 2.7 m/s, Radius, r = 12.9. To calculate centripetal force,
F = (m x v^2)/r
Putting the given values in the above formula: F = (23.3 kg x (2.7 m/s)^2)/12.9 m= 16.3 N (newton)
Therefore, the magnitude of the centripetal force acting on the boy is 16.3 N (newton).
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when rotating the platform, the hanging mass should be removed from the platform. question 2 options: true false
The given statement, while the platform is rotating, the hanging mass remains attached to the test mass and is not removed from the platform is true, if the purpose of the experiment or test is to determine the effect of the hanging mass on the rotation or stability of the platform.
In this case, the hanging mass must remain attached to the test mass during the rotation to observe the behavior of the system under the specified conditions. If the purpose of the experiment or test is to study the effect of the hanging mass on the platform's rotation or stability, the hanging mass must remain attached to the test mass during the rotation. This is because the presence of the hanging mass affects the overall weight and center of gravity of the system. Removing the hanging mass would alter the system's behavior and prevent accurate observations of the phenomenon under investigation. Therefore, if the experiment requires the hanging mass to be present, it must remain attached to the test mass while the platform is rotating.
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--The complete question is, While the platform is rotating, the hanging mass remains attached to the test mass and is not removed from the platform. State true/false.--
A wooden brick with mass M is suspended at the end of cords as shown above. A bullet with mass m is fired toward the brick with speed v0. The bullet collides with the brick embedding itself into the brick. The brick-bullet combination will swing upward after the collision. Consider the brick, earth, and bullet as part of a system. Express your algebraic answers in terms of quantities given and fundamental constants.
(a) During the collision of the brick and the bullet, compare the magnitude and direction of the impulse acting on the brick to the impulse acting on the bullet. Justify your answer.
(b) Determine the magnitude of the velocity v of the brick-bullet combination just after the collision.
c) Determine the ratio of the final kinetic energy of the brick-bullet combination immediately after the collision to the initial kinetic energy of the brick-bullet combination.
(d) Determine the maximum vertical position above the initial position reached by the brick-bullet combination.
BoldItalicUnderline
Answer: the answer given below
(a) Explanation: The impulse on an object is given by the change in momentum of the object. Before the collision, the bullet has momentum p1 = mv0 and the brick has momentum p2 = 0, since it is stationary. After the collision, the combined bullet-brick system has momentum p3.
Conservation of momentum requires that the total momentum before the collision is equal to the total momentum after the collision:
p1 + p2 = p3
mv0 + 0 = (m + M)V
where V is the velocity of the combined bullet-brick system after the collision. Solving for V, we get:
V = (mv0) / (m + M)
The impulse on the bullet during the collision is equal to the change in momentum of the bullet:
J_bullet = p3 - p1 = (m + M)V - mv0
Substituting the expression for V we found earlier:
J_bullet = (m + M)(mv0) / (m + M) - mv0 = 0
Therefore, the impulse on the bullet is zero during the collision.
On the other hand, the impulse on the brick during the collision is:
J_brick = p3 - p2 = (m + M)V - 0 = (m + M)(mv0) / (m + M) = mv0
Therefore, the magnitude of the impulse acting on the brick is equal to the initial momentum of the bullet, mv0, and it is in the same direction as the initial velocity of the bullet.
In summary, during the collision of the bullet and the brick, the impulse acting on the bullet is zero, while the impulse acting on the brick is mv0 in the direction of the initial velocity of the bullet.
(b) We can use the principle of conservation of momentum to solve for the velocity of the brick-bullet combination just after the collision. The total momentum of the system (bullet, brick, and Earth) is conserved before and after the collision. Initially, only the bullet has momentum, which is given by p1 = m*v0, and the momentum of the brick and Earth is zero. After the collision, the bullet becomes embedded in the brick, and the combined system of the brick-bullet has momentum p2. Since the momentum of the Earth is negligible compared to that of the bullet and brick, we can treat the system as closed and apply conservation of momentum:
p1 = p2
m*v0 = (M + m)*v
where v is the velocity of the combined system just after the collision.
Solving for v, we get:
v = (m*v0) / (M + m)
Therefore, the magnitude of the velocity of the brick-bullet combination just after the collision is:
|v| = |(m*v0) / (M + m)|
The direction of the velocity is upward, as the system swings up after the collision due to the conservation of momentum.
(c) The initial kinetic energy of the system is the kinetic energy of the bullet just before the collision, which is given by:
KE1 = (1/2)mv0^2
The final kinetic energy of the system is the kinetic energy of the combined brick-bullet system just after the collision, which is given by:
KE2 = (1/2)*(M + m)*v^2
Substituting the expression we found for v:
KE2 = (1/2)(M + m)[(mv0) / (M + m)]^2
KE2 = (1/2)(m*v0^2) / (1 + M/m)
The ratio of the final kinetic energy to the initial kinetic energy is:
KE2 / KE1 = [(1/2)(mv0^2) / (1 + M/m)] / [(1/2)mv0^2]
KE2 / KE1 = 1 / (1 + M/m)
Therefore, the ratio of the final kinetic energy of the brick-bullet combination immediately after the collision to the initial kinetic energy of the brick-bullet combination is:
KE2 / KE1 = 1 / (1 + M/m)
(d)To determine the maximum vertical position reached by the brick-bullet combination, we can use conservation of energy, assuming there is no energy loss due to friction or other dissipative forces. At the maximum height, the kinetic energy of the system is zero, and all the initial kinetic energy has been converted to potential energy due to the height above the initial position.
The initial total energy of the system is the sum of the initial kinetic energy of the bullet and the gravitational potential energy of the brick:
E1 = (1/2)mv0^2 + Mgh1
where h1 is the initial height of the brick above the ground, and g is the acceleration due to gravity.
At the maximum height, the final total energy of the system is the potential energy due to the height above the ground:
E2 = (M + m)gh2
where h2 is the maximum height reached by the brick-bullet combination above the initial position.
Since there is no energy loss, we can set the initial energy equal to the final energy:
E1 = E2
Substituting the expressions for E1 and E2 and solving for h2, we get:
(M + m)gh2 = (1/2)mv0^2 + Mgh1
h2 = [(1/2)mv0^2 + Mgh1] / [(M + m)*g]
Simplifying, we get:
h2 = (1/2)v0^2 / g + h1(M/m) / (1 + M/m)
Therefore, the maximum vertical position above the initial position reached by the brick-bullet combination is:
h2 = (1/2)v0^2 / g + h1(M/m) / (1 + M/m)
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a 2.0 m tall man is 10 m in front of a camera with a 25 mm focal length lens. how tall is his image on the detector?
A 2.0 m tall man is 10 m in front of a camera with a 25 mm focal length lens, the height of the image on the detector is approximately 5.01 mm.
To determine the height of the image of a 2.0 m tall man who is 10 m in front of a camera with a 25 mm focal length lens, we will use the lens formula and magnification formula.
First, let's use the lens formula: 1/f = 1/u + 1/v
Here, f is the focal length, u is the object distance, and v is the image distance. We have f = 25 mm, and u = 10 m (which we need to convert to millimeters, so u = 10,000 mm).
We can now solve for v: 1/25 = 1/10,000 + 1/v
To isolate v, let's first subtract 1/10,000 from both sides: 1/25 - 1/10,000 = 1/v Now,
find the least common denominator (LCD) and subtract: (400 - 1)/10,000 = 1/v 399/10,000 = 1/v
Now, take the reciprocal of both sides to solve for v: v = 10,000/399
Now that we have the image distance (v), we can use the magnification formula to find the height of the image: magnification (m) = image height (h') / object height (h) = v / u
We want to find h', so we can rearrange the formula: h' = h * (v / u)
Plug in the known values (h = 2.0 m, u = 10,000 mm, and v = 10,000/399 mm), and convert h to mm (2.0 m = 2,000 mm): h' = 2,000 * (10,000 / 399) / 10,000 Simplify the expression: h' = 2,000 / 399
So, the height of the image on the detector when the man is 2.0m tall, 10 m in front of a camera with a 25 mm focal length lens is approximately 5.01 mm.
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we want to lift a load of 200 lb with an overhead system using pulleys that have an efficiency of 0.9. if we can provide a maximum input force of 103 lb, what is the minimum number of pulleys that we need?
We need at least one pulley to lift the load of 200 lb with an overhead system using pulleys that have an efficiency of 0.9, given that we can provide a maximum input force of 103 lb.
Assuming that the weight of the pulleys and the rope is negligible, we can use the formula,
Load = (Input Force / Efficiencies) ^ Number of Pulleys
where Load is the weight of the load we want to lift, Input Force is the force we apply to the system, Efficiency is the efficiency of each pulley, and Number of Pulleys is the number of pulleys we need.
Plugging in the given values,
200 lb = (103 lb / 0.9) ^ Number of Pulleys
Simplifying the equation,
Number of Pulleys = log (base 2) (200 / (103/0.9))
Number of Pulleys = log (base 2) (200 x 0.9 / 103)
Number of Pulleys = log (base 2) 1.983495
Number of Pulleys = 1
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an unbelted victim in a car accident will continue to move in the same direction and with the same speed until the dashboard causes a change in motion. this best exemplifies
According to Newton's first law, an unbelted victim in a car accident will continue to move in the same direction and with the same speed until the dashboard causes a change in motion.
Inertia is the tendency of an object to remain in motion in the absence of an unbalanced force. It is the property of an object to resist any change in motion unless acted upon by an external force.
The dashboard applies an external force that changes the direction and speed of the victim. This is because the person has no external forces acting on them to cause them to stop. Since they were in motion at the time of the accident, they will continue in that motion unless acted upon by another force, such as the dashboard, until they come to a stop or another force acts upon them.
Therefore, the best exemplifies the law of inertia. The law of inertia states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by an external unbalanced force.
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when einstein's theory of gravity (general relativity) gained acceptance, it demonstrated that newton's theory had been?a. wrongb. incompletec. really only guess
When Einstein's theory of gravity (general relativity) gained acceptance, it demonstrated that Newton's theory had been (b) incomplete.
Newton's theory of gravity is a law that governs the behavior of objects. The formula [tex]F = \frac {G m_1 m_2}{ d^2}[/tex] explains the force of gravity between two objects, where F is the force of gravity, G is the universal gravitational constant, m1 is the mass of one object, m2 is the mass of another object, and d is the distance between the centers of the two objects. This formula shows that gravity decreases as distance increases.
Einstein's theory of gravity (general relativity): It is a theoretical framework proposed by Albert Einstein in 1915. It combines special relativity and Newton's law of universal gravitation. General relativity is based on the notion that gravitation is not a force acting between two masses but rather a curvature of spacetime created by the presence of massive objects. It differs from Newton's law of universal gravitation, which states that gravitation is caused by an attractive force acting between two masses.
When Einstein's theory of gravity (general relativity) gained acceptance, it demonstrated that Newton's theory had been incomplete. Therefore the correct answer is b.
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Answer: The table that would organize and summarize the class data on pH levels of the different soil types is found in the attachment below.
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