If, the battery terminals are momentarily shorted together, the current flowing through the circuit is 120 A.
If the terminals of the battery are momentarily shorted together, the internal resistance becomes part of the circuit, and the current flowing through the circuit can be calculated using Ohm's Law.
Given;
Battery voltage (V) = 12.00 V
Internal resistance (R_internal) = 0.1 Ω
Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the total resistance (R), which in this case is the sum of the internal resistance and any external resistance (assuming it is negligible);
I = V / (R_internal + R_external)
When the battery terminals are shorted, the external resistance is effectively zero, so the equation becomes;
I = V / R_internal
Plugging in the values, we have;
I = 12.00 V / 0.1 Ω
Simplifying, we get;
I = 120 A
Therefore, if the battery terminals are momentarily shorted together, the current flowing through the circuit is 120 A.
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A car is moving on strait road at constat speed in single direction what is the average velocity
The average velocity of the car would be equal to its constant velocity, which is equal to the speed of the car. In other words, the average velocity of the car would be equal to the distance traveled by the car divided by the time taken to travel that distance, in the same direction as the motion of the car.
If a car is moving on a straight road at a constant speed in a single direction, then the average velocity of the car would be equal to its constant velocity. Velocity is a vector quantity that includes both the magnitude and direction of an object's motion. When an object moves at a constant speed in a straight line, its velocity remains constant, since there is no change in direction or speed.
The average velocity of an object is defined as the total displacement of the object divided by the total time taken. In the case of a car moving at a constant speed in a straight line, the displacement of the car over any time interval would be equal to the distance traveled in that time interval in the same direction. Since the car is moving in a straight line at a constant speed, the distance traveled and the displacement of the car would be the same.
Therefore, the average velocity of the car would be equal to its constant velocity, which is equal to the speed of the car. In other words, the average velocity of the car would be equal to the distance traveled by the car divided by the time taken to travel that distance, in the same direction as the motion of the car.
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A college student is working on her physics homework in her dorm room. her room contains a total of 6.0×10^26 gas molecules. as she works, her body is converting chemical energy into thermal energy at a rate of 125 w. If her dorm room were an isolated system (dorm rooms can certainly feel like that) and if all of this thermal energy were transferred to the air in the room, by how much would the temperature increase in 17 min? Use the ideal gas model.
ΔEth=125 J/s×10 min×60 s/min=75×10³J
The following equation describes the relationship between a system's change in thermal energy and the associated change in temperature.
ΔEth= 3/2 NkBΔT
rearrange the equation to isolate ΔTΔT
ΔT=2ΔEth3NkB=2×75×103 J3×(6×1026)×(1.38×10−23 J/K)
ΔT=3NkB2ΔEth=3×(6×1026)×(1.38×10−23 J/K)2×75×103 J
ΔT=6 K
How does chemical energy work?the power that's encapsulated in chemical compound bonding (molecules and atoms).It is released during the chemical process, which is referred to as an exothermic reaction, which mostly generates heat as a byproduct.Examples of chemical energy that can be stored include biomass, cells, natural gas, oil, and coal.
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A solid cylinder is freely rolling up an inclined plane. what is the direction of the friction force acting on the cylinder and at what point does the friction force act?
When a solid cylinder is freely rolling up an inclined plane, the direction of the friction force acting on the cylinder is opposite to the direction of its motion. The friction force acts at the point of contact between the cylinder and the inclined plane.
As the solid cylinder rolls up the inclined plane, it experiences a gravitational force pulling it downward along the incline. To prevent the cylinder from slipping or sliding back down, a friction force arises at the point of contact between the cylinder and the inclined plane.
According to Newton's third law of motion, the friction force always acts in the opposite direction to the motion or attempted motion. Therefore, as the cylinder rolls up the incline, the friction force will act in the opposite direction to its motion, which is downward along the incline.
The point at which the friction force acts is at the contact point between the cylinder and the inclined plane. This friction force provides the necessary torque to keep the cylinder rolling without slipping, enabling it to overcome the gravitational force and ascend the incline. The magnitude of the friction force depends on the coefficient of friction between the surfaces in contact and other factors such as the angle of inclination and the mass and radius of the cylinder.
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A converging mirror with a focal length of 7cm is held 4cm from your face. Determine the image location?
The image is approximately 9.33 cm away from the mirror, on the object's side.
To determine the image location formed by a converging mirror, we can use the mirror equation:
1/f = 1/d_o + 1/d_i
where:
f is the focal length of the mirror,
d_o is the object distance (distance of the object from the mirror), and
d_i is the image distance (distance of the image from the mirror).
In this case, the focal length (f) is given as 7 cm, and the object distance (d_o) is 4 cm.
Plugging in the values into the mirror equation:
1/7 = 1/4 + 1/d_i
To find the image distance (d_i), we can solve for it:
1/d_i = 1/7 - 1/4
1/d_i = (4 - 7) / (4 * 7)
1/d_i = -3 / 28
Taking the reciprocal of both sides:
d_i = 28 / -3
d_i ≈ -9.33 cm
The negative sign indicates that the image formed by the converging mirror is virtual and located on the same side as the object.
Therefore, the image is approximately 9.33 cm away from the mirror, on the object's side.
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An object of mass 140kg is placed on an Orange tree 10m above the ground. 1. Calculate the Potential energy with respect to the ground.
Potential Energy - (Measured in Joules) - Potential energy is the energy that is stored in an object due to its position relative to some zero position.
Mass - (Measured in Kilograms) - Mass is the amount of matter in a body, regardless of its volume or the forces acting on it.
Acceleration Due to Gravity - (Measured in Meter/Square Second) - Acceleration due to gravity is the acceleration gained by an object due to the gravitational force.
Height - (Measured in Meters) - Height is the distance between the lowest and highest points of a standing person/shape/object.
An object of mass 140 kg is placed on an Orange tree 10m above the ground. 1. Calculate the Potential energy with respect to the ground.Data:
m = 140 kg
h = 10 m
g = 9.8 m/s²
Ep = ?
The formula to calculate potential energy:
Ep = m * g * h
Ep = Potential energym = massh = heightg = gravityWe clear, but it is not necessary, since we want to calculate the potential energy.
Ep = m * g * h Ep = 140 kg * 9.8 m/s² * 10 m Ep = 13720 JThe reason why it is given in Joules is because N * m, are units of Joules, and N = Kg * m/s^2. It is the ratio of the Joules.
The potential energy of the body of mass m = 140 kilograms and located at height h = 10 meters is equal to 13720 Joules.
Differences between Pascal's Law & Law of flotation
Answer:
Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.
What are 4 physical properties for the bear
Answer:
A bear normally has a short, thick neck, a rounded head, a pointed muzzle, short ears, and small eyes. Some species have round faces. Bears have poor eyesight, and most have only fair hearing.
Explanation:
Modern Bears are characterized with large body and stocky legs, a long snout, shaggy hair, plantigrade paws with five non-retractile claws and a short tail.
Grizzly bears (Ursus arctos horribilis) have concave faces, a distinctive hump on their shoulders, and long claws about two to four inches long. Both the hump and the claws are traits associated with a grizzly bear's exceptional digging ability. Grizzlies are often dark brown, but can vary from blonde to nearly black.
The brown bear has a slight hump above its shoulder, round ears, a long snout and big paws with long, curved claws that it uses for digging. Unlike the black bear, it can't climb trees. It can weigh between 350-1,500 pounds. When standing on its hind legs it can be up to 5 feet tall.
Hope this helps :)
(I didn't know which type of bear so i did brown bear and grizzly bear)
Consider an incandescent lightbulb. If you wanted to turn a 10-w lightbulb into a 100-w lightbulb, how would you change the temperature of the filament inside the bulb?.
By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as
P = A . e . σ . T⁴
where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.
From the question above, we know that
P1 = 10 watt
P2 = 100 watt
T1 = T1
By using the black body radiation formula, the ratio of temperature is
T1⁴ / T2⁴ = P1 / P2
Hence,
T1⁴ / T2⁴ = P1 / P2
T1⁴ / T2⁴ = 10 / 100
T1⁴ / T2⁴ = 1 / 10
T2⁴ = 10T1⁴
T2 = ⁴√(10T1⁴)
T2 = T1 x 10⁰'²⁵
Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
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Un tubo cilíndrico de acero tiene 2.4 cm3 de volumen a -20°C. ¿Cuál será su volumen con una temperatura final de 47C ? Y ¿ Cuál es su variación?
i searched this in googl.e, and there was one website, so i clicked it, and umm it was very disgusting ,,,
A basketball and a bowling ball are relatively the same size or volume. Explain which ball is denser and why.
Answer:
The Bowling Ball is Denser.
Explanation:
If we consider both balls in terms of mass they are very different. Size and volume can be the same though.
What makes the mass? Think of what fills each of the balls.
A Basketball is filled with air, which weighs very little.
Meanwhile, a bowling ball is filled with coverstock, made up of plastic, urethane and resin. These materials weigh considerably more than air!
Which observation do most scientists think supports the big bang theory as a description of the origin of the universe?.
Most scientists believe that the observation of cosmic microwave background radiation supports the big bang theory as a description of the origin of the universe.
The Big Bang Theory is a scientific explanation of how the universe formed and developed over time.
According to this theory, the universe began as a singularity - a point of infinite density and temperature.
It then underwent a rapid expansion known as inflation, which caused it to become the large and complex system that we observe today.
Cosmic microwave background radiation (CMB) is electromagnetic radiation that was emitted during the Big Bang and has been traveling through the universe ever since.
It is the oldest light in the universe and is present in all directions. It is also very uniform, meaning that it has the same temperature and intensity regardless of where it is observed.
One of the most important pieces of evidence supporting the Big Bang Theory is the existence of CMB.
The theory predicts that as the universe expanded and cooled, the intense radiation produced during the early stages would have cooled as well, eventually becoming visible as microwave radiation.
This prediction was confirmed in 1964 when two scientists, Arno Penzias, and Robert Wilson, discovered the CMB while using a radio telescope at Bell Labs.
Since then, numerous measurements of CMB have been made, and they all support the Big Bang Theory.
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Questions -
4.3 Calculate the unknown forces X and Y for the
balanced beam shown.
1.0 m+
2.5 m
te)
X
400N
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of \(X = 1000 \ N\) and \(Y = 1400 \ N\)
Explanation:
Considering the diagram,
Taking moment about the pivot , we have
\(X * 1 = 400 * 2.5\)
=> \(X = 1000 \ N\)
Generally given that the bar is at equilibrium then the upward forces is equal to the down ward force
So
\(Y = X + 400\)
=> \(Y = 1000 + 400\)
=> \(Y = 1400 \ N\)
19. Which scenario would prevent a person from becoming a United States citizen?
Carlos was born in another country. His mother is a United States citizen, but his father is not.
Pierre and his parents were born in another country. He is unable to speak or read English.
Alexander was born in the United States. His parents are not United States citizens.
Binh was born in another country. His parents became naturalized citizens when he was 6 years old.
The one that would prevent a person from naturalization becoming a United States citizen is: Pierre and his parents were born in another country. He is unable to speak or read English. Option B is Correct.
This is because one of the requirements for naturalization is the ability to speak, read, and write basic English. Since Pierre cannot do this, he would face difficulty in becoming a U.S. citizen through naturalization.
Due to his extensive interest in French politics, he frequently writes about it on social media. Pierre immigrated internationally.
Transnational migration is the movement of individuals who are connected to one another through social networks that cross international borders. There are economic and political linkages in addition to social ones.
Transnational migrants work, pray, and express their political ideas all across the world rather than in a single nation-state. Some will create strong foundations in their new nation, maintain close ties with their home nation, and join global religious and political organisations.
Dual nationals who live in both countries and Cuban Americans who moved to the United States but maintained ties to Cuba are two prominent examples of cross-border migration.
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suppose the wavelength of the light is 420 nm . how much farther is it from the dot on the screen in the center of fringe e to the left slit than it is from the dot to the right slit?
According to Young's double-slit experiment, the distance between adjacent maxima (fringes) is given by the equation
`d sin θ = mλ`. So, there is no difference between the distance of the central bright fringe from the left and right slits as they are equidistant from the central fringe.
According to Young's double-slit experiment, the distance between adjacent maxima (fringes) is given by the equation
`d sin θ = mλ`.
Where; d is the separation between the double slits (in meters), θ is the angle between the incident wave and the direction to the point on the screen (in radians), m is an integer representing the order of the fringe, and λ is the wavelength of the light (in meters).Formula to calculate the position of the fringes:
`y = L tanθ`.
Where; y is the vertical position of the fringe on the screen, and L is the distance from the double-slit to the screen.Each fringe will have a bright and dark region on either side of its center. So, if we consider the central bright fringe, it is formed by waves from each slit that travel an equal distance to reach the point on the screen at the center of the fringe.
Therefore, the distance between this point and the left slit is equal to the distance between this point and the right slit.
Thus, the answer to the given problem is zero or there is no difference between the distance of the central bright fringe from the left and right slits as they are equidistant from the central fringe.
Let's calculate the position of the bright fringes using the formula
`d sin θ = mλ` for m = 0 and θ = 0 (central maximum) as follows;
`d sin θ = mλ`⇒ `d sin 0 = 0λ` (for central maximum)⇒ `d × 0 = 0`
Therefore, the distance between the center of the fringe and the slits is zero and the position of the central fringe is the point equidistant from the slits on the screen. So, there is no difference between the distance of the central bright fringe from the left and right slits as they are equidistant from the central fringe
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A force of 5 N accelerates an object. The objects mass is 50 G. What is the acceleration of the object? (Formula: F=ma)
Answer:
100 m/s^2
Explanation:
F=ma
50 g = 0.05 kg
5 = 0.05a
a=100m/s^2
Answer:
100MS
Explanation:
I did the test and got 100%
8-14. The life in hours of a 75-watt light bulb is known to be normally distributed with σ=25 hours. A random sample of 20 bulbs has a mean life of xˉ =1014 hours. (a) Construct a 95% two-sided confidence interval on the mean life. (b) Construct a 95\% lower-confidence bound on the mean life. Compare the lower bound of this confidence interval with the one in part (a). 8-5. A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02,61.98) and (39.95,60.05) (a) What is the value of the sample mean? (b) One of these intervals is a 95%CI and the other is a 90% CI. Which one is the 95%CI and why?
(a)The critical value for a 95% confidence level is approximately 1.96. (b) A higher confidence level requires a wider interval to capture the true population mean with greater certainty.
(a) To construct a 95% two-sided confidence interval on the mean life of the light bulbs, we can use the formula:
CI = X ± z × (σ ÷√n)
where X is the sample mean, σ is the population standard deviation, n is the sample size, and z is the critical value corresponding to the desired confidence level.
In this case, X= 1014 hours, σ = 25 hours, and n = 20. The critical value for a 95% confidence level can be found using a standard normal distribution table or a calculator. For a two-sided confidence interval, we divide the desired confidence level by 2 and find the corresponding z-value.
The critical value for a 95% confidence level is approximately 1.96. Substituting the values into the formula, we have:
CI = 1014 ± 1.96 × (25 ÷ √20)
the confidence interval on the mean life.
(b) To construct a 95% lower-confidence bound on the mean life, we can use the formula:
Lower bound = X - z × (σ ÷ √n)
Using the same values as in part (a), the lower bound can be calculated.
The lower bound from part (a) is the lower confidence bound for the mean life.
For the second part of the question, we have two confidence intervals: (38.02, 61.98) and (39.95, 60.05).
(a) To find the value of the sample mean, we take the average of the lower and upper bounds of each confidence interval. The sample mean is the midpoint of the confidence interval.
Sample mean = (38.02 + 61.98) ÷ 2 = 50
(b) One of the intervals is a 95% confidence interval, and the other is a 90% confidence interval. The interval (38.02, 61.98) is the 95% confidence interval because it is wider. A higher confidence level requires a wider interval to capture the true population mean with greater certainty.
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a hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. he is closer to one cliff than to the other: he fires a gun and, after a while, hears three echoes. the second echo arrives 1.8 sec after the first, and the third echo arrives 1.4 sec after the second. assuming that the speed of sound is 343 m/sec and that there are no reflections of sound from the ground, find the distance between the cliffs.
To solve this problem, let's break it down step by step: The time interval between the hunter firing the gun and hearing the first echo is not given, but it is not needed to find the distance between the cliffs. We'll call this time interval "t". the distance between the cliffs is 1234.8 meters.
The time it takes for the second echo to arrive after the first echo is 1.8 seconds. Since sound travels at a speed of 343 m/s, we can calculate the distance between the cliffs using the formula: Distance = Speed × Time Distance = 343 m/s × (2 × 1.8) sec = 1234.8 m. Therefore, the distance between the cliffs is 1234.8 meters. It's important to note that the third echo is not necessary to determine the distance between the cliffs. The given information is sufficient to calculate the distance based on the time interval between the first and second echoes.
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Why do you think it is important to have a system to arrange items in the grocery store? What will happen if we don’t have a system?
Can someone please help me?
Answer:
acceleration...............
Answer:
speed
Explanation:
wanna see some real speed betch
Which object will accelerate less if the
same force is applied to both--an
apple or a couch? Why
If we apply same force to both-an apple or a couch, the object which will accelerate less is couch.
What is acceleration?
Acceleration is the term used to describe the pace at which speed and direction of velocity vary over time. Something is said to be accelerating when it starts to move faster or slower. Even when the speed is constant, motion on a circle accelerates because the direction is always keeps shifting. Both impacts cause all other motions to speed up.
The couch will accelerate less because
F = m a
where, F = force, m = mass, a = acceleration.
This equation can also be written as
a = F/m
It tells us that the acceleration is inversely proportional to mass.
so, in the question given the mass of couch will greater as compared to an apple so the acceleration of the couch will be lesser as compared to apple.
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A bicyclist pedaling up a hill is this a form of kinetic energy or potential energy?
Answer:
Kinetic
Explanation:
Its a moving action
When a bicyclist is pedaling up a hill, it is a form of potential energy. The correct option is option potential energy.
An object's position or configuration in relation to other things might provide it potential energy. The potential energy in this situation is gravitational potential energy.
Because they are being lifted against gravity as they ascend the hill, the cyclist gains gravitational potential energy. The potential energy of the cyclist increases as they ascend.
The potential energy will be transformed into kinetic energy once the cyclist begins pedaling or moving downward.
As a result of their increased height above the ground, cyclists are building up potential energy as they bike up a hill. They gain speed as they cycle downhill, transforming that potential energy into kinetic energy.
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can sound wave generate heat?
Yes, sound waves can generate heat.
What are waves?A wave is a disturbance that moves through space and matter while transferring energy from one place to another.
Types of wavesElectromagnetic and Mechanical waves
Transversal and Longitudinal waves (classification by direction of the wave)
Sound waves almost always generate a little bit of heat as they travel and almost always end up also as heat when they are absorbed by any obstacle.
Sound is the ordered movement of atoms and molecules in rapid waving patterns. Heat is the disordered, random, movement of atoms and molecules.
In conclusion, all you have to do in order to turn sound into heat is transform some of the ordered movement of the atoms and molecules into disordered movement and that brings about the heat generated from sound waves.
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A student drops a ball off the top of building and records that the ball takes 2.55s to reach the ground. Determine all unknowns and answer the following questions. Neglect drag.
The unknown variables in the model equation for ball's motion include vertical distance traveled by the ball which is 31.86 m and the final velocity of the ball which is 25 m/s.
The given parameter;
time of motion of the ball, t = 2.55 sThe equations that model the motion of the ball is given as follows;
\(h = v_0_y + \frac{1}{2} gt^2\)
\(v_f = v_0_y + gt\)
All the unknown variables in the equations include;
\(v_0_y\) is the initial vertical velocity of the ball, = 0g is the acceleration due to gravity = 9.8 m/s²h is the vertical distance traveled by the ball = ?\(v_f\) is the final velocity of the ball = ?The vertical distance traveled by the ball is calculated as follows;
\(h = \frac{1}{2} gt^2\\\\h = 0.5 \times 9.8 \times 2.55^2\\\\h = 31.86 \ m\)
The final velocity of the ball is calculated as follows;
\(v_f = 0 + 9.8(2.55)\\\\v_f = 25 \ m/s\)
Thus, the unknown variables in the model equation for ball's motion include vertical distance traveled by the ball which is 31.86 m and the final velocity of the ball which is 25 m/s.
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What is the approximate number of wavelengths of light that can travel in 1 direction within a retroreflecting bead that has a diameter of 5 × 10-5 m? (Note: The speed of light = 3 × 108 m/s, and its frequency is approximately 1015Hz.)
0.6
1.7 × 10^2
1.5 × 10^4
3.3 × 10^6
The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
Number of wavelengths of light in a retroreflecting bead with 5 × 10^-5 m diameter?
This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.
In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.
Using the formula c = λf, we can solve for the wavelength of light:
λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m
Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:
n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167
Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
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what are mechanical waves ?
Answer:
A mechanical wave is a wave that is an oscillation of matter and therefore, transfers energy through a medium... hope it helps!!Turning on and listening your favorite TV show is an example of
heat energy to light energy
sound energy to chemical energy
electrical energy to sound energy
light energy to kinetic energy
Answer:
Electrical Energy and Sound Energy
Explanation:
You're holding your dog's leash as the dog pulls on the leash at an angle to the ground. You move forward. What fraction of the dog's force does work
on you?
O A. All of the dog's force
o B. The part of dog's force that acts in the horizontal direction
O C. The part of dog's force that acts in the vertical direction
O D. None of the dog's force
PLS HELP
Answer:
B
Explanation:
This is my answer hope it helps you
The fraction of the dog's force which works on you is the part of the force that acts in the horizontal direction. Thus, the correct option is B.
What is horizontal component of force?
When a dog is being pulled upon by leash. If the leash is pulled upwards and to the right, then there is a tensional force which acts upward and rightwards upon the dog. This single force can be resolved into two components which includes one which is directed upwards and the other which is directed rightwards.
Each component of force describes the influence of the leash in the given direction. The vertical component describes the upward influence of the force upon the dog and the horizontal component describes the rightward influence of the force upon the dog. And, when the dog is pulled forward horizontal component of force acts.
Therefore, the correct option is B.
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In order to reduce the steady-state error of a system, a lag compensator was designed as shown. Determine the steady-state errors for a ramp input before and after adding the lag compensator. Hint use Kv R(S) $+0.1 2 C(s) 0.7936 $+0.01587 S(S + 1)(s +3) lag compensator plant Select one: O a 0.6 and 3.1 O b. 15 and 0.6 Oc 15 and 0.3 O d. 1 and 1.5 Oe. 1.5 and 3.35
The steady-state error for a ramp input before and after adding the lag compensator are 15 and 0.3, respectively. Therefore, the correct option is c. 15 and 0.3.
Steady-state error is a measure of the system's response to a constant input over time. In this case, we are considering a ramp input, which is a steadily increasing input signal. The goal is to minimize the steady-state error to make the system respond accurately to this type of input.
To determine the steady-state error, we can use the concept of velocity error constant, Kv. The formula for steady-state error is given by Kv times the input signal. Before adding the lag compensator, the Kv of the plant alone is 0.6. Therefore, the steady-state error for a ramp input would be 0.6 multiplied by the slope of the ramp, which is 1. Hence, the initial steady-state error is 0.6.
After adding the lag compensator, we need to consider the new transfer function of the system, which includes both the plant and the compensator. The transfer function of the lag compensator in this case is 0.1 times (2s + 0.7936) divided by (s²+ 3s + 3). By analyzing the transfer function, we can determine the new Kv of the entire system. In this case, the new Kv is found to be 0.3.
Using the new Kv value, we calculate the steady-state error for the ramp input, which is 0.3 multiplied by the slope of the ramp (1). Therefore, the steady-state error after adding the lag compensator is 0.3.
In summary, the steady-state error for the ramp input is 15 before adding the lag compensator, and it reduces to 0.3 after adding the lag compensator. Thus, the correct option is c. 15 and 0.3.
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BY what factor does the kinetic energy of a moving body change when its speed is reduced to half? please help i have an exam and i need an answer
Answer:
Kinetic Energy = 1/2 mass*velocity^2
K=1/2mv^2
Therefore if you reduce the speed of an object by 1/2, K reduced to 1/4 its value.
A magnet can move in a coil of wire to produce electricity in which system?
A. Generator
B. Motor
C. Magnet
D. Transformer
Answer:
A. Generator
Explanation:
Hope this will help
Answer:
A. Generator
Explanation:
That is the correct answer