The correct answer is: The mass of A is less than C, which is less than B, where all have the same distance from each other. The gravitational attraction between objects A and B is less than the attraction between objects B and C. The attraction between objects A and C is less than the attraction between the other two sets of objects.
To understand the relationship between the masses of objects A, B, and C, we need to consider the gravitational attraction between them. According to the given information:
1. Gravitational attraction between A and B is less than the attraction between B and C.
2. Gravitational attraction between A and C is less than the attraction between the other two sets of objects (A&B, B&C).
Based on these facts, we can deduce the relationship between the masses of objects A, B, and C. The gravitational force between two objects is determined by their masses and the distance between them, as given by Newton's law of universal gravitation:
F = G * (m1 * m2) / r²
Since the distance between all objects is the same, the gravitational force is directly proportional to the product of their masses. From the given information, we can determine the following:
- The product of masses A and B is less than the product of masses B and C.
- The product of masses A and C is less than the product of masses A and B, and the product of masses B and C.
Considering these relationships, we can conclude that the mass of A is less than C, which is less than B. Therefore, the correct answer is: The mass of A is less than C, which is less than B.
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If Steve throws a football 40 m and it travels for 3 seconds, what was the balls velocity?
Answer:
13.4 m/s^2
Explanation:
40 divided by 3 equals 13.3 repeating.
What are two adaptations that telescope must make to account for
different types of light?
Answer: Reflecting telescopes focus light with a series of mirrors, while refracting telescopes use lenses.
Explanation:
For any object in motion, distance is always _________ displacement
Answer:
for any object in motion , distance is always greater than displacement
For any object in motion, distance is always greater or equal to the displacement but it can never be less than the displacement because displacement is the shortest distance measured between the initial and the final position.
What is displacement?An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.
Displacement describes this shift in location.
Distance is always higher or equal to displacement for any item in motion, but it can never be less because displacement is the shortest distance between the beginning and end positions.
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what are the speeds of (a) a proton that is accelerated from rest through a potential difference of −1000 v−1000 v and (b) an electron that is accelerated from rest through a potential difference of 1000 v?
a)The speed of the proton accelerated through a potential difference of -1000 V is approximately 4.81 x \(10^5\) m/s.
b)The speed of the electron accelerated through a potential difference of 1000 V is approximately 5.93 x \(10^6\) m/s.
(a) To calculate the speed of a proton accelerated from rest through a potential difference of -1000 V, we can use the equation for the change in potential energy (ΔPE) and the kinetic energy (KE) of the proton.
The equation for the change in potential energy is ΔPE = qΔV, where q is the charge of the particle and ΔV is the potential difference. The equation for kinetic energy is KE = 1/2mv^2, where m is the mass of the proton and v is its speed.
Since the proton starts from rest, its initial kinetic energy is zero. So, we can equate the change in potential energy to the final kinetic energy:
qΔV = 1/2mv^2
Rearranging the equation gives: v = √(2qΔV / m)
The charge of a proton (q) is +1.6 x \(10^-19\) C, the mass of a proton (m) is 1.67 x \(10^-27\) kg, and the potential difference (ΔV) is -1000 V. Plugging in these values into the equation, we get: v = √(2(1.6 x \(10^-19\) C)(-1000 V) / (1.67 x \(10^-27\)kg))
Simplifying the equation gives: v ≈ 4.81 x 10^5 m/s
Therefore, the speed of the proton accelerated through a potential difference of -1000 V is approximately 4.81 x 10^5 m/s.
(b) Similarly, to calculate the speed of an electron accelerated from rest through a potential difference of 1000 V,
we use the same equation: v = √(2qΔV / m)
The charge of an electron is -1.6 x \(10^-19\) C, the mass of an electron is 9.11 x \(10^-31\) kg, and the potential difference is 1000 V.
Plugging in these values into the equation, we get: v = √(2(1.6 x \(10^-19\) C)(1000 V) / (9.11 x \(10^-31\) kg))
Simplifying the equation gives: v ≈ 5.93 x 10^6 m/s
Therefore, the speed of the electron accelerated through a potential difference of 1000 V is approximately 5.93 x \(10^6\) m/s.
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argon gas enters an adiabatic nozzle steadily at 950 c and 850 kpa with a low velocity, and exits at a pressure of 230 kpa. what is the highest possible velocity of argon gas at the nozzle exit?
The highest possible velocity of argon gas at the nozzle exit is 706.4 m/s.
To solve this problem, we can use the equation for isentropic flow through a nozzle, which relates the inlet and exit Mach numbers, pressures, and temperatures. Since the argon gas enters the nozzle adiabatically, we can assume that the process is isentropic, meaning that the entropy of the gas is constant.
Using the given inlet conditions, we can find the inlet Mach number to be 0.258. Using the given exit pressure, we can find the exit Mach number to be 1.604. Then, using the isentropic flow equation, we can find the exit temperature to be 524.9 K. Finally, we can use the definition of Mach number to find the exit velocity to be 706.4 m/s.
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It is recommended that children have no more than two sets of dental X-rays per year. Although X-rays have many benefits, they can be dangerous to human health because they are
Although X-rays have many benefits, they can be dangerous to human health because they are short wavelength, high frequency, with photons sufficiently energetic to damage DNA molecules.
A delivery truck with 2.0m -high aluminum sides is driving west at 50km/hr in a region where the earth's magnetic field is B= (5.0 x 10^-5 T, north)
a. What is the potential difference between the top and the bottom of the truck's side panels? E= ____ V
The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.
The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.
The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:
V = Blv
Where:
V = potential difference (V)
B = magnetic field (T)
l = length of conductor (m)
v = velocity of conductor perpendicular to the magnetic field (m/s)
Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:
V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V
It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.
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what force is required to move 7 M if the work done is 9 J
Answer:
1.29 N
Explanation:
The equation for force (with work and distance) is:
\(Force=\frac{Work}{distance}\)
We can plug in the given values into the equation:
\(Force=\frac{9J}{7m}$\approx1.29 N\)
A force of 1.29 N is required to move 7 meters if the work done is 9 J.
What is the work?Work can be described as the product of the component of the force (F) in the direction of displacement (d) and the magnitude of this displacement. Work can be described as the energy utilized when a force is applied to move a body through a displacement.
The force acts to move an object in the direction of the applied force over a distance in a straight line.
W= F × d
Where W is work done, 'F' is the applied force, and 'd' is the displacement.
Given, the work done by the applied force, W = 9 J
The displacement by an object, d = 7 m
The force applied to the object can be determined as F = W/d
\(F = \frac{9J}{7m}\)
\(F = 1.29\times \frac{N.m}{m}\)
F = 1.29 N
Therefore, the force required is equal to 1.29 N.
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the magnitude of the force of a 400-n/c electric field on a 0.02-c point charge is:
The magnitude of the force exerted on the 0.02 C point charge in a 400 N/C electric field is 8 N. It is important to note that the force is a vector quantity, meaning it has both magnitude and direction. In this case, the direction of the force would depend on the polarity of the charge and the direction of the electric field.
The magnitude of the force exerted on a point charge in an electric field can be determined using the formula:
F = q * E
Where: F is the force exerted on the charge, q is the magnitude of the charge, and E is the magnitude of the electric field.
In this case, the magnitude of the electric field is given as 400 N/C, and the magnitude of the point charge is 0.02 C.
Substituting these values into the formula, we get:
F = (0.02 C) * (400 N/C)
Calculating this, we find:
F = 8 N
Therefore, the magnitude of the force exerted on the 0.02 C point charge in a 400 N/C electric field is 8 N. It is important to note that the force is a vector quantity, meaning it has both magnitude and direction. In this case, the direction of the force would depend on the polarity of the charge and the direction of the electric field.
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A student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1.
the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62.
when using two sails, the efficiency of turbine was 13%. calculate the power generated.
Based on the efficiency of the airblower of 62%, power generated by the airblower is 330.5 W.
What is efficiency of a machine?Efficiency of a machine is a ratio of the work output and the work input of a machine.
Efficiency = work output/work input × 100%The power generated by the airblower = ?
Power input to th air blower = 533 W
Efficiency = 0.62 or 62 %
Power generated by the airblower = Efficiency × work input/100
Power generated by the airblower = 62 × 533/100 = 330.5 W
Therefore, the power generated by the airblower is 330.5 W.
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if the bird consumes energy at a rate of 3.70 w , how many hours tb can it fly using the energy supply provided by 4.00 grams of fat?
To calculate the hours a bird can fly using the energy supplied by 4.00 grams of fat, we need to find the total energy content of the fat and then divide it by the bird's energy consumption rate.
Fat provides approximately 9 kcal of energy per gram. First, convert the energy content of the fat to watts:
4.00 grams of fat * 9 kcal/gram = 36 kcal
1 kcal = 4184 joules
36 kcal * 4184 joules/kcal = 150,624 joules
1 watt = 1 joule/second, so the bird consumes 3.70 joules per second.
Now, divide the total energy content of the fat by the bird's energy consumption rate:
150,624 joules / 3.70 joules/second = 40,704 seconds
Finally, convert the seconds to hours:
40,704 seconds / 3600 seconds/hour ≈ 11.31 hours
So, the bird can fly for approximately 11.31 hours using the energy supplied by 4.00 grams of fat.
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The first step is to calculate the energy that can be obtained from 4.00 grams of fat.
One gram of fat can provide approximately 9 calories of energy, which is equivalent to 37.656 joules. Therefore, 4.00 grams of fat can provide:
Energy = 4.00 grams x 9 calories/gram x 4.184 joules/calorie
Energy = 150.336 joules
Next, we can calculate the time that the bird can fly using this energy supply by using the formula:
Time = Energy / Power
where Power is the rate at which the bird consumes energy, which is 3.70 watts.
Time = 150.336 joules / 3.70 watts
Time = 40.62 seconds
Therefore, the bird can fly for approximately 40.62 seconds using the energy supply provided by 4.00 grams of fat.
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True or False: As distance between 2 objects increases, the gravitational force decreases
Answer:
True
Explanation:
Because it is:)
The position of the front bumper of a test car under microprocessor control is given by x(t)=2.17m+(4.80m/s2)t2?(0.100m/s6)t6.a. Find its position at the first instant when the car has zero velocity.b. Find its acceleration at the first instant when the car has zero velocity.c. Find its position at the second instant when the car has zero velocity.d. Find its acceleration at the second instant when the car has zero velocity.
Using velocity and acceleration, a. To determine the location of the car when its velocity is zero, we must identify the roots (time instances) of the velocity equation, which is the first derivative of the position equation.
The velocity equation is as follows: \(v(t) = (9.60m/s^3) t - (0.600m/s^7)t^7.\)
What numerical techniques may we use to find an equation's roots?To find the roots of this equation, we can use numerical techniques like Newton-Raphson or bisection. The velocity equation can also be seen to be a seventh-degree polynomial with up to seven roots. By setting the velocity equation to zero and calculating the root, we can apply a numerical solution or perform a hand calculation to obtain the first root (i.e., the first time the car has zero velocity).
b. The formula for the acceleration equation, which is the second derivative of the position equation, is: \(a(t) = (9.60m/s^2) - (6.00m/s^6)\)\(t^6\)
c. and d. To discover the acceleration at the second time occurrence when the car has zero velocity, find the second root by repeating step a and using the acceleration equation to find the acceleration.
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a system releases 425 kj og heat and does 307 kj of work on the surroundings in the process. what is the change in the internal energy of the system
A system produces 307 kj of work for the environment while releasing 425 kj of heat. The system's internal energy changes as 118kj
According to the first law of thermodynamics, heat is a form of energy, and consequently, thermodynamic processes are governed by the idea of conservation of energy. Heat energy cannot be created or destroyed, so it makes sense.
Given that heat released by system (Q) = -425kj as heat is released
Work done by the system (W) = -307kj
internal energy change in the system is ΔU
ΔU = Q + W = -425 + (-307) = -732kj
Because we know from conservation of energy Q>0 and W<0
There is decrease in internal energy
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A backpack has a mass of 8 kg. It is lifted and given 54.9 J of gravitational
potential energy. How high is it lifted? Acceleration due to gravity is g = 9.8
m/s2
The height is 0.70 meters
The formula for gravitational potential energy is
= mgh
m= mass, g= acceleration due to gravity, h= height
54.9= 8 × 9.8 × h
54.9= 78.4h
h= 54.9/78.4
= 0.70 meters
Hence the height at which the bacpack was lifted is 0.70 meters
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Answer:
its 0.7m
Explanation:
A box sits on a platform supported by a compressed spring. The box has a mass of 1.0 kg. When the spring is released, the spring gives 14.7 J of energy to the box. What will be the maximum height above the platform reached by the box before it begins to fall
The maximum height above the platform reached by the box before it begins to fall is 1.5 m.
The given parameters:
Mass of the box, m = 1.0 kgEnergy stored in the spring, E = 14.7 JThe maximum height above the platform reached by the box before it begins to fall is calculated as follows;
\(mgh = E\\\\h = \frac{E}{mg} \\\\h = \frac{14.7}{1 \times 9.8} \\\\h = 1.5 \ m\)
Thus, the maximum height above the platform reached by the box before it begins to fall is 1.5 m.
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When considering materials, what environmental characteristics are important to prioritize, and what should be avoided
it is important to prioritize environmental characteristics such as sustainability, recyclability, and low environmental impact. To make environmentally friendly choices, you should avoid materials that are non-renewable, non-recyclable, or cause significant pollution during production or disposal.
This means choosing materials that are sustainably sourced, produced with minimal waste and energy use, and have a low carbon footprint. Materials that can be easily recycled or biodegraded are also important.
On the other hand, materials that should be avoided are those that are non-renewable, highly polluting, or toxic to humans or the environment. For example, materials made from fossil fuels, such as plastic, should be avoided whenever possible. Similarly, materials that contain hazardous chemicals or heavy metals should be avoided due to their negative impacts on human health and the environment.
Overall, prioritizing environmentally-friendly materials is crucial for reducing our impact on the planet and creating a more sustainable future.
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A murder victim is found slumped over his desk in his office. The bullet that killed him is found lodged in his chair. Investigators find footprints in the carpet and gather traces of silica used to make concrete from the footprints. Their prime suspect is a construction supervisor who recently had an argument with the victim. The suspect's construction firm regularly uses a brand of concrete with high concentrations of silica. On the victim's desk is a threatening letter from the suspect regarding a disagreement between them. The suspect's fingerprints are found on the letter. Which of these pieces of evidence is showing a class characteristic?
A. The fingerprints on the letter belonging to the suspect
B. The silica in the carpet being like the concrete that the suspect's company uses
C. The victim being killed with his own gun
D. The suspect being angry enough with the victim to threaten him
the approximate mass of mercury
which term describes the process that continually moves water from the ground to the atmosphere and back?
The word "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.
Explain the term water cycle?The hydrologic cycle, another name for the water cycle, describes where and how water is kept on Earth.
With in atmosphere, on the surface of the land, and underground, water is kept in reserve. It could be a gas, a liquid, or a solid. Either fresh or salt water can be a liquid (salty).Water flows between its storage locations. It flows on both extremely tiny scales and very big scales (via watersheds, through atmosphere, and beneath the Earth's surface) Water flows both naturally and as a result of human activity. The motion of Earth's water is sustained by the gravity force and solar energy. The water cycle is impacted by human activity because it changes where water is.Thus, the term "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.
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Josh is riding his skateboard down a ramp he kicks off and starts with a speed of 0.5 m/s after 1.5 seconds Josh reaches the bottom of the ramp where his speed is 6.5 m/s at what rate did josh accelerate
Answer:
4m/s2
Explanation:
The rate of change of an object's velocity with respect to time is defined as acceleration. The rate at which Josh accelerated is 4 m/sec².
What is acceleration?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.
Acceleration = (Final Velocity - Initial Velocity)/ Time taken
Given that Josh kicks off and starts with a speed of 0.5 m/s after 1.5 seconds. Josh reaches the bottom of the ramp where his speed is 6.5 m/s. Therefore, we can write the given quantities as,
Initial Velocity = 0.5 m/sec
Final Velocity = 6.5 m/sec
Time = 1.5 seconds
Now, the rate at which Josh accelerated can be written as,
Acceleration = (Final Velocity - Initial Velocity)/ Time taken
= (6.5 m/sec - 0.5m/sec)/1.5 seconds
= 6.0 m/sec / 1.5sec
= 4 m/sec²
Hence, the rate at which Josh accelerated is 4 m/sec².
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apply a small amount of force to the ball by pushing the flat end of the ruler against the ball. maintain a constant bend in the ruler. you may need a lot of clear space, and you may need to move with the ruler. does the ball move with a constant speed?
Yes, the ball will move with a constant speed. When a small amount of force is applied to the ball by pushing the flat end of the ruler against the ball while maintaining a constant bend in the ruler, the ball moves with a constant speed.
This is because the force applied is constant and the resistance offered by the ball is also constant which results in a constant speed of the ball. However, it's important to note that this only holds true under certain conditions. If there is a change in the applied force or resistance offered by the ball, then the speed of the ball will change accordingly. Additionally, other external factors such as friction may also affect the speed of the ball.
Hence, it is important to control all the factors that may affect the speed of the ball in order to obtain accurate results.
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A planet's moon travels in an approximately circular orbit of radius 8.6 107 m with a period of 6 h 25 min. Calculate the mass of the planet from this information.
Answer:
m v^2 / R = G M m / R^2 gravitational attraction = centripetal force
M = v^2 R / G solving for M
period = 6 h 25 min = (6 * 3600 + 25 * 60) sec = 23,100 sec = T
v = 2 pi R / T
M = 4 pi^2 R^3 / (G T^2)
M = 39.5 * (8.6E7)^3 / (6.67E-11 * 2.31E4^2)
M = 39.5 * 636 / (6.67 * 5.34) * 10^24
M = 7.05 * 10^26 kg
a student is measuring the effects of an electric circuit on a compass, and he is testing to see if increasing the current will cause the compass needle to change its direction faster. he does one trial using a 9-volt battery and another trial using a 1.5-volt battery. he takes accurate data. based on good experimental design, what would improve his experiment? he should add a non working compass to act as a control. he should add a non working compass to act as a control. he should use batteries of the same voltage but from different manufacturers to show he has used different variables. he should use batteries of the same voltage but from different manufacturers to show he has used different variables. he should repeat the test with three additional batteries of varying voltages to demonstrate the reproducibility of results. he should repeat the test with three additional batteries of varying voltages to demonstrate the reproducibility of results. he should use only one battery but do several trials, using different circuit designs to ensure he has appropriate test groups. he should use only one battery but do several trials, using different circuit designs to ensure he has appropriate test groups.
He should repeat the test with three additional batteries of varying voltages to demonstrate the reproducibility of results. he should use only one battery but do several trials, using different circuit designs to ensure he has appropriate test groups - this can improve the student's experiment.
What is reproducibility?Reproducibility, otherwise called replicability and repeatability, is a significant rule supporting the logical technique. For the discoveries of a review to be reproducible implies that results got by an examination or an observational review or in a factual investigation of an informational index. Albeit numerous organic researchers instinctively accept that the reproducibility of a trial implies that it tends to be repeated, Drummond makes a differentiation between these two terms. Informational indexes are huge and calculations are more refined. This requests reproducibility to decrease the mistake and predisposition when people are added to the course of information investigation.
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A piano tuner stretches a steel piano wire with a tension of 765 n. the steel wire has a length of 0.900 m and a mass of 6.75 g. What is the frequency fi of the string's fundamental mode of vibration?
Fundamental Frequency of the String is 177.42 Hz.
What does "frequency of a wave" mean?The quantity of waves emitted by a source per second is known as a wave's frequency. Additionally, it is the quantity of waves per second that pass a specific spot. The hertz is a measure of frequency (Hz).
How can you determine a wave's frequency?The equation f=v f = v, where is the wavelength in meters and v is the wave speed in m/s, can be used to determine the frequency of a wave if the wavelength and speed of the wave are known. This also provides the wave's frequency in Hertz.
The Tension in the String is 765 N.
Steel wire length L is 0.900 m
Mass of the string m is 6.75 g = 6.75 * 10^-3 kg.
Frequency of the string = n *(Velocity of the wave on the String/(2L) )
v = 319.37 m/sec
For Fundamental Frequency n = 1
Frequency = V / 2L
f = 319.37 / (2*0.9)
f = 177.42 Hz
How do frequency and wavelength differ?The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured in cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz).
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an electron is in the ground state of a square well of width l = 4.00 × 10⁻¹⁰ m. the depth of the well is six times the ground-state energy of an electron in an infinite well of the same width.
What is the kinetic energy of this electron after it has absorbed a photon of wavelength 74 nm and moved away from the well? Express your answer in electron volts. K = ____
The final answer for the kinetic energy of the electron after absorbing the photon and moving away from the well is K = (6E₀ - 2.678 × 10^(-18) J) / (1.602 × 10^(-19) J/eV).
The kinetic energy of the electron after absorbing a photon and moving away from the well can be calculated by subtracting the energy of the photon from the initial energy of the electron. The energy of the photon can be determined using the equation E = hc/λ, where E is the energy, h is the Planck constant, c is the speed of light, and λ is the wavelength. The initial energy of the electron can be found by multiplying the ground-state energy of an electron in an infinite well by six, as the depth of the well is six times this energy.
Finally, the kinetic energy is obtained by subtracting the energy of the photon from the initial energy of the electron and converting it to electron volts.
To find the kinetic energy of the electron after absorbing a photon and moving away from the well, we first need to calculate the energy of the photon using the equation E = hc/λ.
Given that the wavelength of the photon is 74 nm, we can convert it to meters by multiplying by 10^-9: λ = 74 × 10^(-9) m.
Using the equation E = hc/λ, where h is the Planck constant (h = 6.626 × 10^(-34) J·s) and c is the speed of light (c = 3.00 × 10^8 m/s), we can calculate the energy of the photon:
E = (6.626 × 10^(-34) J·s × 3.00 × 10^8 m/s) / (74 × 10^(-9) m) = 2.678 × 10^(-18) J.
Next, we need to determine the initial energy of the electron in the well. The depth of the well is six times the ground-state energy of an electron in an infinite well of the same width. Let's denote the ground-state energy of an electron in an infinite well as E₀. Therefore, the initial energy of the electron is 6E₀.
Finally, we can find the kinetic energy of the electron after it has absorbed the photon and moved away from the well by subtracting the energy of the photon from the initial energy of the electron: K = 6E₀ - 2.678 × 10^(-18) J.
To express the answer in electron volts (eV), we can use the conversion factor 1 eV = 1.602 × 10^(-19) J. Thus, we divide the above result by this conversion factor: K = (6E₀ - 2.678 × 10^(-18) J) / (1.602 × 10^(-19) J/eV).
The final answer for the kinetic energy of the electron after absorbing the photon and moving away from the well is K = (6E₀ - 2.678 × 10^(-18) J) / (1.602 × 10^(-19) J/eV).
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120-v rms voltage at 1000 hz is applied to an inductor, a 2. 00-μf capacitor and a 100-ω resistor. if the rms value of the current in this circuit is 0. 680 a, what is the value of the inductor?
The inductance of the inductor is 35.8 mH.
What is inductance?
Inductance, which would be defined as the proportion of voltage to current change rate, is what distinguishes an inductor from other electrical devices. The magnetic field induced on the coil causes inductance. The coil's form is one of the many elements that affect it.
Calculation:
Provided that,
voltage = 120 V
frequency = 1000Hz
capacitor (C) = 2.00μF
current = 0.680 A
We have to find out the inductance of that inductor by using the formula of the current,
I = V/Z
Z = \(\sqrt{R^{2} +(Lw - \frac{1}{Cw)^{2} } }\)
Now putting the value of Z into this equation we get:
I = \(\frac{V}{\sqrt{R^{2}+(Lw - \frac{1}{Cw})^{2} } }\)
0.680 = \(\frac{120}{\sqrt{100^{2}+(L* 2\pi *1000 - \frac{1}{2*10^{-6}*2\pi *1000 })^{2} } }\)
L = 35.8 mH
Therefore it is concluded that the inductance of the inductor is 35.8 mH.
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What is the difference between thermal energy and heat?
Answer:
One transfer's and the other doesn't
Explanation:
Thermal energy doesn't transfer, but remain a part of the internal energy of the system.Heat transfer's it's energy, like when you sit in a cold chair, then becomes warm.That's because the energy was transferred from your body to the chair.
Answer:
Thermal energy is the random movement of atoms or molecules present in an object or a system while heat energy is the measure of the degree of hotness or coldness due to the temperature difference between two objects. So, in a nutshell, heat energy is the flow of thermal energy in a system.
Explanation:
Have a great day!
an optometrist has a patient who needs bifocals. the patient can clearly see an object when it is between 39.6 cm and 22.0 m from her eye.
The range of distance over which the patient can clearly see an object suggests that the patient may have a condition known as presbyopia, which is a natural age-related decline in the eye's ability to focus on near objects. In order to address this issue, the optometrist may recommend bifocals, which have two different prescriptions in the same lens.
The upper portion of the bifocal lens is typically prescribed for distance vision, while the lower portion is designed for near vision. This allows the patient to see clearly at both distances without needing to switch between different pairs of glasses or constantly adjust their focus.
In terms of the specific distances provided, the fact that the patient can see objects as close as 39.6 cm suggests that they require a fairly strong near prescription. The fact that they can see objects as far as 22.0 m away suggests that they also require a fairly mild distance prescription.
Overall, the optometrist will need to perform a comprehensive eye exam to determine the precise prescription needed for the bifocals, taking into account the patient's visual acuity, refractive error, and other factors. This may involve a variety of tests and measurements, including visual acuity tests, refraction tests, and assessments of the patient's eye health and overall vision needs.
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An egg is dropped from a building that is 61 m high.
Need initial and final velocity and time and delta
Answer:
Initial Velocity = 0 m/s
Final Velocity = 34.6 m/s
time = 3.5 s
Explanation:
The initial velocity must be zero since, the egg must be at rest initially, before dropping.
Initial Velocity = 0 m/s
Now, for time we use 2nd equation of motion:
h = Vi t + (1/2)gt²
where,
h = Height = 61 m
Vi = Initial Velocity = 0 m/s
g = 9.8 m/s²
t =time = ?
Therefore,
61 m = (0 m/s)(t) + (1/2)(9.8 m/s²)t²
t² = (61 m)(2)/(9.8 m/s²)
t = √(12.45 s²)
t = 3.5 s
Now, for final velocity we will use 1st equation of motion:
Vf = Vi + gt
Vf = 0 m/s + (9.8 m/s²)(3.5 s)
Vf = 34.6 m/s