F=-mg sin is the net force operating on a basic pendulum bob of mass m. It is a force that restores.
What force is the restoring force in a straightforward pendulum in straightforward harmonic motion?A simple pendulum's restoring force is directed towards the mean position when it moves in a simple harmonic motion (lowest point). Here, the force of gravity acts as the restoring force at the centre of mass of the bob.
What is the pendulum motion equation?Pendulums are employed to control clock movement because the period—the amount of time between each full oscillation—is constant. The formula for a pendulum's period T is T = 2L/g squared.
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a box is being pushed across the floor by a constant force the coeficient of kinetic friction is at time what is the new velocity and position
A box is being pushed across the floor by a constant force the coeficient of kinetic friction is at time.
The final velocity vf can be calculated as:vf = v0 + a * t
where t is the time elapsed.
The displacement x can be calculated as:x = v0 * t + (1/2) * a * t^2
The velocity and position of a box being pushed across the floor by a constant force with a coefficient of kinetic friction depend on the applied force, the mass of the box, and the coefficient of kinetic friction.
Let's call the applied force F, the mass of the box m, the coefficient of kinetic friction μk, the initial velocity v0, the final velocity vf, and the displacement x.
The force of friction Ff can be calculated as:
Ff = μk * m * g
where g is the acceleration due to gravity (9.8 m/s^2).
The net force acting on the box is equal to the applied force minus the force of friction:
Fnet = F - Ff = F - μk * m * g
The acceleration a of the box can be calculated as:
a = Fnet / m = (F - μk * m * g) / m
The final velocity vf can be calculated as:
vf = v0 + a * t
where t is the time elapsed.
The displacement x can be calculated as:
x = v0 * t + (1/2) * a * t^2
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a small car of mass mand a large car of mass 4mdrive along a highway at constant speed. they approach a curve of radius r. both cars maintain the same acceleration aas they travel around the curve. how does the speed of the small car vscompare to the speed of the large car vlas they round the curve?
The speed of the small car and the large car will be the same as they round the curve.
As both cars are experiencing the same acceleration a and are traveling along the same curve with radius r, their speeds will be determined by the same centripetal acceleration equation: a = v^2 / r. This means that the speeds of the two cars, v_s and v_l, will be proportional to the square roots of their masses. Therefore, v_s / v_l = sqrt(m / (4m)) = sqrt(1 / 4) = 1 / 2. So, while the large car has four times the mass of the small car, they will still be traveling at the same speed as they round the curve.
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if an object is thrown straight up at 112 m per second, what will the height be after 1 second and 9 seconds?
When an object is thrown upward from the top of a 112-foot building with an initial velocity of 96 feet per second, the object will reach the ground after 7 seconds.
How can I tell what height an item has ascended to?h = v 0 y 2 2 g .The maximum height of a missile beyond its launch location is determined by this equation, which really only depends just on vertical component of the initial velocity.
How much speed is lost per second when something is launched upward?If airspeed is disregarded, an object being hurled upward will decrease speed at a rate of around 9.8 m/s per minute until it reaches a velocity of 0 m/s.
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a net force of 11.4 n is applied to the left on a 12.3-kg object. the object goes from a horizontal location of 9.2 m to a horizontal location of -10.1 m. what is the work done by the net force?
The work done by the net force is equal to the force multiplied by the displacement. In this case, the force is 11.4 N and the displacement is 19.3 m (9.2 m - (-10.1 m)).
Therefore, the work done by the net force is 11.4 N × 19.3 m = 218.62 Nm.
To further explore this topic, it is important to understand the concepts of work, force, and energy. Work is the product of force and displacement, and is the energy transferred from a system to its surroundings. Force is an external influence that causes an object to accelerate, and energy is the capacity of a system to do work.
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a line to line fault occurs between phases a and b of a three phase generator. what is the sum of the short circuit currents through all three phases
The current in the neutral of a three-phase balanced system is equal to the sum of the currents in all the phases in this instance, which is zero.
What is the line to line fault?The speed at which electrons go past a particular location in an electrical circuit is known as current. Current = flow in the simplest terms. The standard unit for measuring current around the world is one ampere.
When two wires are short-circuited, the problem is called a line to line fault or unsymmetrical fault. Phases b and c of a three-phase system with a line-to-line fault are represented in the picture below. One can suppose that Zf is the fault impedance.
I = q t, where is the charge and is the time, is the mathematical formula for current. A current's SI unit is an ampere.
Therefore, The flow of charge particles such as electrons or ions is what is known as electric current. Its unit of measurement is the net flow of electric charge over time.
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what was the most important difference in development between isaac newton's theory of planetary motion and that of johannes kepler?
The most important difference in development between Isaac Newton's theory of planetary motion and that of Johannes Kepler was the explanation of why planets move in the way that they do.
Kepler's laws of planetary motion were based on extensive observations of the positions of the planets in the sky, and he discovered that planets move in elliptical orbits around the sun, with the sun located at one of the foci of the ellipse.
Isaac Newton, on the other hand, was able to provide a physical explanation for why planets move in elliptical orbits around the sun. Newton's law of universal gravitation stated that all objects in the universe are attracted to each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them.
Using this law, Newton was able to demonstrate that the gravitational attraction between a planet and the sun causes the planet to move in an elliptical orbit.
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a boat takes 3.40 hours h o u r s to travel 30.0 km k m down a river, then 5.30 hours h o u r s to return. part a how fast is the river flowing? express your answer with the appropriate units.
The speed of the stream when the distance and time taken to travel are given is calculated to be 1.41 km/h.
A boat takes 3.4 hrs to travel 30 km.
It takes 5 hrs to return through same distance.
The speed of the boat during the downstream is, v + u = D/t
where,
v is the speed of the boat
u is the speed of the stream
D is the total distance
t is the time
v + u = 30/3.4 = 8.82 km/h
v = (8.82 - u) km/h
The speed of the boat upstream is given as, v - u = D/t
Substituting the values into the above equation,
v - u = D/t
(8.82 - u) - u = 30/5
8.82 - 2 u = 6
2 u = 8.82 - 6
2 u = 2.82
u = 1.41 km/h
Thus, the speed of the stream is calculated to be 1.41 km/h.
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the magnitude of the normal acceleration is group of answer choices proportional to radius of curvature. inversely proportional to radius of curvature. inversely proportional to diamter of curvature. zero when velocity is constant.
The magnitude of the normal acceleration is inversely proportional to the radius of curvature. This is choice 1b.
Normal Acceleration: Also known as radial acceleration or centripetal acceleration, normal acceleration a(n) = v^2/r, where v is the tangential velocity. It is responsible to change the direction of velocity and thus keeping particle in circular motion.
The tangential acceleration is a measure of the rate of change in the magnitude of the velocity vector, i.e. speed, and the normal acceleration are a measure of the rate of change of the direction of the velocity vector.
When the radius of the circular path goes down, the centripetal acceleration goes up.
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--The complete question is, The magnitude of the normal acceleration is,
a. proportional to radius of curvature.
b. inversely proportional to radius of curvature.
c. inversely proportional to diameter of curvature.
d. zero when velocity is constant.--
if you are told that an object that weighs 20 Newtons is raised a distance of 10 meters, you know that? A. the force of gravity on the object is 20 Newtons. B. the mass of the object is 20 Newtons. C. the force of gravity on the object is 10 meters. D. the mass of the object is 10 meters. E the acceleration of the object is 200 kilogram-meters.
If you are told that an object that weighs 20 Newtons is raised a distance of 10 meters, you know that the force of gravity on the object is 20 Newtons. Thus, the correct option is A.
What is Force?A force is an influence- a push or a pull that can change the motion of an object. A force can cause an object with a given mass to change its velocity, and to undergo acceleration. A force has both the magnitude as well as the direction which make it a vector quantity.
Weight is a form of force which is applied by the gravity on an object with certain mass.
W = mg
where, W = weight of the object,
m = mass of the object,
g = acceleration due to gravity.
Therefore, the correct option is A.
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now that you know the weight of the rod, do you think that you will be able to carry the rod without a cart?
The statement is yes. Now that you know the weight of the rod, you think that you will be able to carry the rod without a cart.
Mass is an intrinsic property of a frame. It became traditionally believed to be associated with the quantity of rely on in a physical frame until the discovery of the atom and particle physics. It was determined that extraordinary atoms and exceptional basic particles, theoretically with the same amount of count, have thought distinct masses. Mass in current physics has a couple of definitions that might be conceptually distinct, but bodily equivalent. The mass may be experimentally defined as a degree of the frame's inertia, which means the resistance to acceleration (alternate of velocity) whilst a net force is implemented. The object's mass also determines the strength of its gravitational enchantment to different bodies.
The SI base unit of mass is the kilogram (kg). In physics, mass isn't the same as weight, even though mass is regularly determined by means of measuring the object's weight with the use of a spring scale, in place of a stability scale comparing it without delay with known hundreds. An item on the Moon could weigh much less than it does on this planet due to the decrease in gravity, but it'd nevertheless have the same mass.
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Complete Question:
Now that you know the weight of the rod, do you think that you will be able to carry the rod without a cart? Yes or No?
if the speed of the block is 5.00 m/s when it reaches the bottom of the ramp, what was the work done on it by the friction force?
The work done on an object by a force is given by the product of the force and the distance over which it acts.
In this case, the work done on the block by the friction force is equal to the friction force multiplied by the distance over which it acts.
Assuming that the block started from rest at the top of the ramp, its initial potential energy was converted to kinetic energy as it slid down the ramp. At the bottom of the ramp, the kinetic energy of the block is given by 1/2 mv^2, where m is the mass of the block and v is its speed. Since there is no potential energy at the bottom of the ramp, the work done by all the forces acting on the block must be equal to the initial potential energy.Therefore, the work done on the block by the friction force is equal to the initial potential energy minus the kinetic energy at the bottom of the ramp. The initial potential energy is given by mgh, where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the ramp.Without knowing the values of m and h, we cannot calculate the exact work done on the block by the friction force.
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if fuel consumption is 80 pounds per hour and groundspeed is 180 knots, how much fuel is required for an airplane to travel 460 nm?
fuel is required for an airplane to travel 460 nm is 205 pounds. 460 nm / 180 nm/hr * 80 /hr = 205. 180 kg.Calculate the descent's approximate duration, compass bearing, distance, and fuel usage.
How is the calculation for fuel use done?The most widely used unit of fuel consumption, liters per 100 kilometers, can be calculated using the formula below.Litres per 100 km = (Litres consumed X 100) km traveled.
What is the rate of climb formula?The weight and surplus propulsion horsepower both affect rate of climb.In most cases, the formula reads:Excess Thrust Horsepower ( hp twice 33,000 split by Weight gives you Rate of Climb (R/C=ETHP x 33,000/W).
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How fast must a 20.0kg child be moving on her tricycle to have the same momentum as a 1.20 x 103 kg car traveling at 2.00m/s?
The speed of the boy is 120 m/s.
What is momentum?Momentum is a measure of an object's motion. It is defined as the product of an object's mass and velocity. The greater an object's mass or velocity, the greater its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction. The law of conservation of momentum states that the total momentum of a closed system remains constant.
The momentum of the tricycle is;
1.20 x 10^3 kg * 2 m/s
= 2.4 x 10^3 kgm/s
Then the velocity of the boy would be
p = mv
v = p/m
v = 2.4 x 10^3 kgm/s/20
v = 120 m/s
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What is the first 6 months of a Presidents term called?
You are sitting on the edge of a pool with your legs in the water. As light waves pass from the pool into the air, it looks like your legs are not attached at the knees where they meet the water. This is because light waves _____________ when they pass from one medium to another.
Question 10 options:
reflect
diffract
are amplified
refract
Your legs appear to be unattached at the knees where they meet the water, to refract when light waves go from the pool into the air.
What is, the waves pass from the pool into the air?Electromagnetic waves come in many varieties. The microwaves in your oven, radio waves, and X-rays are examples of additional electromagnetic waves.
A fluctuating electric field (E) and a varying magnetic field (B) that are perpendicular to each other and the direction of travel are thought to make up light waves.
Sound goes from the air to the water at a different speed. When sound travels through different media, some of it is reflected and only some of it is transferred.
As the acceleration of charged particles (photons) results in light, according to the electromagnetism law, light is an electromagnetic wave. Light may spread without a medium, much like an electromagnetic wave.
Therefore, As light waves exit the pool and refract as they travel into the air, your legs appear to be detached at the knees where they contact the water.
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you go out tonight and see the brightest star in the constellation orion just rising above your eastern horizon at 10 pm. one week later at 10 pm this same star will be
When we see the brightest star in the constellation Orion just rising above your eastern horizon at 10 pm and One week later at 10 PM this same star will be at its highest point in the sky, directly overhead .
The position of Stars in the sky changes as the Earth rotates on its axis.
As the Earth rotates, different stars appear to rise in the east and set in the west.
If we see the brightest star in constellation Orion just rising above our eastern horizon at 10 PM, and 1 week later at 10 PM, this same star will be at its highest point in the sky, directly overhead.
This is because the Earth has rotated 1 full revolution in a week, which causes the star to move from the eastern horizon to the overhead position.
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a 10,000 gallon water tank atop a building delivers fresh drinking water for its occupants. the top floor resident and the bottom floor resident are filling their bathtubs. assuming frictionless pipes and isothermal flow, which one will fill faster?
The bathtub on the bottom floor will fill faster assuming frictionless pipes and isothermal flow.
In an isothermal flow, the temperature remains constant and the pressure decreases as the height increases. This means that the pressure at the bottom floor is higher than the pressure at the top floor. As a result, the water will flow more quickly through the pipes to the bottom floor, filling the bathtub there faster.
This can be understood by considering the relationship between pressure and flow rate in a pipe: flow rate is proportional to the pressure difference. In this case, the pressure difference between the top and bottom floors is driving the flow of water, so the bathtub on the bottom floor will fill faster.
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Two chemical elements are shown below.
1. Identify each element.
2. Explain how the atomic structure of the two elements differ.
3. Describe where each element is location the periodic table.
4. Predict the characteristics of each element based on their placement on the periodic table.
Element N1.
26
Fe
155.845
Element N2.
7
N
14.0067
The relationship between iron and nitrogen will depend on where they fall in the periodic table.
How does iron differ from nitrogen?Iron (Fe) and Nitrogen (N) are two different elements that have distinct properties:
Chemical properties: Iron is a metal that is highly reactive and is commonly found in the Earth's crust. Nitrogen is a non-metal that is relatively unreactive and makes up the majority of the Earth's atmosphere.
Physical properties: Iron is a dense, silvery-gray metal that is hard and brittle. Nitrogen is a colorless, odorless, tasteless gas that is lighter than air.
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the ancient greeks recognized that certain celestial objects appear to wander across the night sky over the course of several weeks compared to distant stars. what do we call these objects?
Additionally,early observers noted a few brilliant objects in the sky that appeared to be roving around among the stars.These things were known to the philosophers of antiquity as "planets",which is Greek for "wanderers."
In close proximity to us, the planets move. Like the Earth, they too orbit the Sun.
The study of the universe's objects that are located outside of our solar system is known as astronomy. The Sun, Moon, planets, and stars are examples of things we can view with our unaided eyes. It also includes things that humans can only observe through telescopes or other tools, including distant galaxies and microscopic particles. Additionally, it asks queries regarding dark matter and dark energy, which are examples of substances that are completely invisible to us.
Patterns in the stars were noted by early observers who were staring up at the night sky. Despite appearing to move, these patterns—which we refer to as constellations—don't.
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Basic science
A bus travelling at 50m/s accelerates uniformly at 5m/s² for 2 seconds calculate it's final velocity
Answer: 60 m/s
Explanation: If the bus is traveling at 50 m/s, and it accelerates uniformly at 5m/s for 2 seconds, that means it gained 5 m/s for every second it accelerated. We know both the rate the bus accelerated at and how long it accelerated for. All you have to do to solve this problem is figure out how much speed the bus gained and then add that to the original speed. 5*2=10, so the bus gained 10 m/s during 2 seconds of acceleration. 50+10=60, so the bus is now traveling at 60 m/s.
Helppp. Please help! Need answer as soon as possible!
Helppp. Really need answers as soon as possible!
Explanation:
I would recommend watching TV shows like "How the Universe works" or "Space's deepest Secrets".
so, if there were no gravity ?
no bigger bodies or structures would have formed at all. the universe would be one big "sea" of hydrogen atoms (and some helium and very few other atoms, whatever the Big Bang created by itself - depending on what the Big Bang really was, and if there really was such a thing) floating through the ever expanding spacetime.
yes, some tiny structures would have formed via electrostatic forces, and also via chemical reactions forming some larger molecules of atoms driven just by chance and the coincidence that atoms would even get that close to each other. but not many, as the larger atoms (like oxygen) can only be created by fusion of smaller atoms, which can only happen with immense pressure, which can only happen by gravity squeezing atoms together in cores of stars and such.
in other words, no black holes, no Galaxies around them, no stars in them, no planets and moons, no asteroids and comets around them would have formed.
the universe would be dark from the very beginning, just glimmering with the leftover background radiation from the Big Bang (or whatever it was).
there would be actually nothing to observe, literally.
what do we need to test or measure to see if we meet the criteria and constraints
The criteria and the constraints of a project aims to find if the criteria are met by certain standards.
How do we test for criteria and constraints?Criteria and constraints can be tested in several ways to ensure that they are being met:
User Acceptance Testing (UAT): This is a testing process that involves end-users to determine if the requirements specified in the criteria and constraints have been met. UAT allows you to verify that the solution meets the needs of the end-users.
System Testing: This is a comprehensive testing process that validates the entire system, including the criteria and constraints. System testing verifies that the system functions as intended and meets the specified requirements.
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If vector P was fixed but the direction of Vector Q could be changed, for which value of tetha will the resultant force have a maximum value ?
The value of tetha (θ) in which the resultant force will have a maximum value is 180 degrees.
What is maximum value of the resultant vector?
The maximum value of the resultant vector is calculated by applying Parallelogram law of vector addition as shown below;
R² = a² + b² - 2ab( cosθ )
where;
a is the magnitude of the first optionb is the magnitude of the second optionθ is the angle of inclination of the vectorwhen θ is 0, the vector will have a minimum value, when θ = 180, the vector will have a maximum value as shown below.
R² = a² + b² - 2ab( cosθ )
R² = ( 250² ) + ( 150² ) - 2(250 x 150 ) x cos (180)
R² = 160,000
R = √ (160,000)
R = 400 N
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The acceleration of a particle is given by ax(t) = -(2. 00 m/s2) + (2. 70 m/s3)t. (a) find the initial velocity v0x, such that the particle will have the same x-coordinate at t = 3. 80 s as it had at t = 0
The initial velocity v0x, such that the particle will have the same x-coordinate at t = 4.10 s as it had at t = 0
Vx(t) = -2.40 t + 1.65t^2 + Vo
X(t) = -1.20 t^2 + 0.55 t^3 + Vo t + Xo
At t =0
X(t) = Xo
At t = 4.30:
X(4.30) = -1.20(4.30)^2 + 0.55(4.30)^3 + Vo(4.30) = Xo
21.54085 + 4.30 Vo = Xo
So Vo = (Xo - 21.54085)/4.30
Vo = -5.0095 m/s <===========Answer to part A
Vx(t) = -2.40 t + 1.65t^2 + Vo
V(4.30) = -2.40(4.30) + 1.65(4.30)^2 - 5.0095
V(4.30) = +15.179 m/s
The pace is the directional speed of an item in motion as a demonstration of its price of alternate in the role as observed from a specific body of reference and as measured via a particular widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.
Velocity is a bodily vector amount; each significance and route are needed to define it. The scalar absolute value (significance) of speed is known as velocity, being a coherent derived unit whose quantity is measured inside the SI (metric device) as meters in step with second (m/s or m⋅s−1). as an example, "5 meters in step with 2d" is a scalar, whereas "5 meters consistent with 2nd east" is a vector. If there is a trade-in velocity, route, or each, then the object is stated to be present process an acceleration.
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Complete Question:
The acceleration of a particle is given by ax(t) = -(2. 10 m/s2) + (2. 98 m/s3)t. (a) find the initial velocity v0x, such that the particle will have the same x-coordinate at t = 4.10 s as it had at t = 0
what will be the slope of vs m graph when using the equation? where; t- period of one oscillation of the spring k- spring constant m- load hanging from the spring.
The slope of the plot of T vs. m is, m = (k/4π²).
The period of one oscillation of a spring-mass system is denoted by the letter T, and it is the time required for one complete cycle of motion, starting at any point in the cycle and returning to that same point.
The equation for the period T of a spring-mass system is, T = 2π √(m/k),
where k is spring constant and m is the mass of load hanging from the spring.
To find the slope of the plot of T vs. m, we can rewrite this equation in the form, T² = (4π²/k) m.
This is the equation of a straight line with slope, T = (k/4π²).
Therefore, the slope of the plot of T vs. m is, m = (k/4π²).
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--The complete question is, What will be the slope of t vs m graph when using the equation? where; t- period of one oscillation of the spring k- spring constant m- load hanging from the spring.--
two speakers, 7.0 m apart, are in phase and emit a pure tone of wavelength 3.6 m. there are a total of answer quiet spots (completely destructive interference) along the line segment connecting the speakers?
The path difference between two waves must equal an odd multiple of half the wavelength (/2) in order for there to be destructive interference between them. The wavelength of the sound in this instance is 3.6 m, and there is a distance of 7.0 m between the two speakers.
Speakers are apparatuses that transform electrical signals into sound waves, enabling us to hear audio material such as music, speech, and other types of audio. They are made up of a frame, a magnet, a voice coil, and a diaphragm. The electrical signal causes the diaphragm, which is often composed of paper or plastic, to vibrate, and these vibrations result in sound waves that travel through the air. From home audio systems and headphones to public address systems, movie theatres, and performance venues, speakers are employed in a variety of settings. Numerous elements, including frequency response, distortion, sensitivity, and power handling capability, affect a speaker's quality.
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what is the magnitude of the torque on the molecule? express your answer with the appropriate units.
The magnitude of the torque on a molecule depends on various factors such as the orientation and magnitude of the electric dipole moment of the molecule, the electric field strength, and the angle between the electric field and the dipole moment.
The general formula for the magnitude of the torque, τ, on a molecule in an electric field is given by:
τ = p * E * sinθ
where p is the electric dipole moment of the molecule, E is the electric field strength, and θ is the angle between the electric field and the dipole moment.
The units of torque are typically given in Newton-meters (Nm). So, the magnitude of the torque on the molecule would be expressed in Nm.
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a current of 0.300 a through your chest can send your hear into fibrillation, ruining the normal rhythm of heart beat and disrupting the flow of blood (and thus oxygen) to your brain. if that current persists for 3.37 min, how many conduction electrons pass through your heart?
A 0. 3 zero 0 Your heart might enter a state of fibrillation as a result of a current running through your chest, which would disrupt both the regularity of your beating and the flow of blood (and gas) to your brain.
The meaning of present current
Electrons are one type of electrical charge carrier that flow as current. Current flows from bad to good elements. The SI unit for measuring electric current is the ampere (A). One ampere of current is defined as one conservation of mass of electrical current crossing a specific area in one second.
An electrical current unit is what?
Electric current is the flow of electrons across a conductor. The SI unit for electric current is the ampere. In a substance's molecular structure, there are tiny particles called electrons. Depending on the circumstance, these protons can be held freely or tightly.
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in a classroom demonstration the pressure inside a soft drink can is suddenly reduced to essentially zero.assuming the can to be a cylinder with a height of 11 cm and a diameter of 6.1 cm , find the total upward force exerted on the vertical sides of the can due to atmospheric pressure.
The total upward force exerted on the vertical sides of the soft drink can that suddenly reduced to essentially zero, (assuming the can to be a cylinder with a height of 11 cm and a diameter of 6.1 cm) due to atmospheric pressure = 2.27 × 10³ N
The can's exterior surface is affected by atmospheric pressure. We must know the complete surface area of the can that is accessible to the air outside the can in order to compute this upward force. The can is a cylinder, and its total surface area is given by the equation:
2πrh + 2πr²
Where,
r = radius
h = height
Hence,
A = {2 (3.14) (3.05) (11)} + 2 (3.14) (3.05)²
= 269.1037
= 0.026 m²
Atmospheric pressure = 101325Pa
= 101325 N/m²
So, the total upward force:
F = P x A
= (101325 × 0.026)
= 2.27 × 10³ N
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