If G is the gravitational constant, m₁ and m₂ are the masses of the two objects, and d represents their separation from one another then the gravitational formula, where F is the gravitational force equation is,
F =G((m₁m₂)/d)
Every particle in the universe is drawn to every other particle with a force that is directly proportional to the product of their masses and inversely proportional to their separation from one another, according to Newton's Law of Universal Gravitation.
In addition to interactions between the earth and other objects, all objects are subject to gravitational forces, the strength of which is inversely proportional to the product of their masses. Planetary orbits are studied by scientists using the law of universal gravitation. Because all objects have gravitational pull on one another, it is simple to explain the minor changes in a planet's elliptical motion.
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Each multi wire branch circuit shall be provided with a means that will simultaneously disconnect all ungrounded conductors at the same point where the branch circuit originates.
Note for information: For details on the usage of single-pole circuit breakers as the disconnecting mechanism, see 240.15(B).
In order to simultaneously disconnect all ungrounded wires at the branch circuit's origin, each multiwire branch circuit must be equipped with this capability.
Branch circuits that fall within this article's definition must be allowed as multiwire circuits. It is okay to think of a multiwire circuit as having numerous circuits. The same panelboard or other similar distribution equipment must be the source of all wires in a multiwire branch circuit.
Each multiwire branch circuit must group its grounded and ungrounded circuit cables in accordance with 200.4. (B).
All loads must be supplied by line-to-neutral multiwire branch circuits.
The first exception is a multiwire branch circuit that serves a single piece of used equipment.
Exception No. 2: The multiwire branch circuit's ungrounded wires must all be opened simultaneously by the branch-circuit overcurrent mechanism.
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What type of plate boundary is formed between two plates sliding past each other
Between two plates that are sliding past one another, a transform plate boundary forms.
Transform plate boundary: what is it?
A vast region known as the transform plate boundary forms as the Pacific Plate moves northwesterly past the North American Plate. To create a transform plate border, two plates can move past one another horizontally. The San Andreas Fault is a well-known transform plate boundary that produces numerous earthquakes in California. One tectonic plate's boundary with the plates surrounding it can take many different shapes. When tectonic plates pass one another horizontally along strike-slip or transform faults, transform boundaries are created. There are enormous fractures or cracks called strike-slip faults where the transform boundary movement occurs.To know more about transform plate boundary refer to:
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How many molecules are in 10. 0 g of aspartame?.
The amount of moles is equal to 10/294 or 0.034 moles. [tex]C_{14} H_{18} N_{2}O_{5}[/tex] is the chemical formula for aspartame.
By multiplying the aspartame's molecular weight (294.31 g/mol) by its mass (10 g) and then dividing by the molar mass, one can get the number of moles of molecules contained in a unit of aspartame (C14H18N2O5) of 10 g. As a result, there are 0. 033999 moles in 10 grammes of aspartame.
Thus, the mass of 6.022 1023 of a substance's atoms, molecules, or formula units is its molar mass, which is measured in grammes per mole. The amount of grammes in 1 mole is always the same in each instance.
Aspartame Molecular mass = ( 12 * 14 ) + ( 1 * 18 ) + ( 14 * 2 ) + ( 16 * 5 ) = 294
moles = m/M
moles = 10/294
moles = 0.034
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What are the 3 formulas for velocity?.
The three formulas for velocity are: v = u + at ; v² = u² + 2as. ; and s = ut + ½at².
The term "velocity" refers to the rate and direction of motion and is measured using a vector scale. Simply said, velocity is the speed with which an object moves in a single direction.
There are three equations of velocity, also called the laws of constant acceleration, that apply when the acceleration is uniform. As a result, variables such as displacement (s), velocity (initial and final), time (t), and acceleration can be calculated using the provided equations (a). Because of this, they can only be used in situations where the acceleration is constant and the motion is linear. The three equations are: v = u + at ; v² = u² + 2as. ; and s = ut + ½at².
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What is the formula for force and momentum change?.
The formula F t = p expresses the relationship between a force and the time at which it acts to alter the momentum of an object, where F is the force acting, t is the time at which the force acts, and p is the change in momentum.
What exactly is force and momentum change?Force (F) equals the change in momentum (P) divided by the change in time (t). Furthermore, the change in momentum (P) is equal to the impulse (J). Momentum and impulse are measured in the same units (kg*m/s or N*s).
According to Newton's second law, if a constant force operates on a particle for a particular period, the product of force and time interval (the impulse) equals the change.
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Explain how the loudspeaker converts current in an electrical circuit to a sound wave. (6)
Alternating current supplied to the loudspeaker creates sound waves in the following way:
A current in the coil creates a magnetic field around it. The magnetic field interacts with the permanent magnet generating a force, which pushes the cone outwards. The current changes direction.
A change in the magnetic field through a coil can induce a potential difference across it which drives a current. The voltage and current changes in a transformer can be calculated, as power transfer is constant.
The motor effect is used inside headphones, which contain small loudspeakers. In these devices, variations in an electric current cause variations in the magnetic field produced by an electromagnet. This causes a cone to move, which creates pressure variations in the air and forms sound waves.
The end of the speaker cone is surrounded by a permanent magnet. A coil of wire which carries electrical signals is wrapped around the end of the cone. The movement generated causes the cone to vibrate.
The alternating current supplied to the loudspeaker creates sound waves in the following way:
A current in the coil creates a magnetic field around it. The magnetic field interacts with the permanent magnet generating a force, which pushes the cone outwards. The current changes direction. The direction of the magnetic field around the coil reverses. The force on the cone now pulls it back in.6. Repeatedly alternating the current direction makes the converts vibrate in and out.
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A robot moves from point A to point B following the path shown in the diagram below. What is the robot's displacement when it reaches point B?
Answer: 3m
Explanation: if this is the educake question with 5m,3m,5m you should get 3m for your answer because Displacement is the shortest distance between start and finish locations.
Two bowling ball moving toward each other have a total ma of 3 kg. What i the momentum of one of the ball before colliion if it ha a velocity of 3 m/?
The momentum of one of the balls before the collision is 4.5 kg*m/s. The principle of conservation of momentum states that in an isolated system, the total momentum before a collision is equal to the total momentum after the collision.
If two objects are moving toward each other, then their relative velocity is twice the velocity of one object. Given that the total mass of the two bowling balls is 3 kg and the velocity of one of the balls before the collision is 3 m/s, we can use the equation of momentum p=mv to find the momentum of one of the balls.
p = mv
The momentum of one of the balls before the collision is p1 = m1*v1, where m1 is the mass of one of the balls and v1 is the velocity of one of the balls before the collision.
Given that the mass of one of the balls is 3 kg/2 = 1.5 kg.
p1 = (1.5 kg)(3 m/s) = 4.5 kg*m/s
Therefore, the momentum of one of the balls before the collision is 4.5 kg*m/s
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which of these minerals would be the main component in the cement slab in your house?
calcite gypsum quartz hematite clay minerals
The primary component of the cemented slab in their home would be calcite minerals.
What makes calcite so uncommon?The mineral calcite is widespread and abundant in nature. Due to its abundance, the substance has no inherent value. However, due to its flawless cleavage in three directions, travertine ranks among the hardest minerals to cut. Accordingly, the majority of the cost of prismatic stone lies in the work of cutting.
What are the three intriguing calcite facts?Calcite crystals come in a wide range of sizes and shapes. They come in practically every color. Travertine is either colorless, very pale, or white in its purest form. The property of circularly polarized light, or the double diffraction of light, can be seen in crystals.
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What is always 9. 8 in physics?.
What is the relation between shear force and bending moment Mcq?.
Shear force times the parallel distance equals the bending moment. Since the distance has always been zero at support, the BM of a just supported beam will also be zero.
How is a distance determined?The metre is the SI unit of length (m). Centimeters (cm) can be used to measure short distances, whereas kilometres can be used to measure great distances (km). For instance, you might calculate the kilometres between your home and school and the centimetres between the bottom and top of a piece of paper as examples.
What is the distance unit in the SI?In the International Measurement system, a metre is the unit of distance. It's interesting to note that by utilising this as the basic unit and a few calculations, a variety of different derived units or quantities, including volume, area,
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How do you write the magnitude and direction of a vector?.
How to Calculate a Vector's Magnitude and Direction from its Components.
Step 1: Use the equation A=√A2x+A2y A = A x 2 + A y 2 to calculate the magnitude of the vector.
Step 2: Use the equation Θ=tan−1(AyAx) Θ = tan − 1 ( A y A x ) to calculate the direction of the vector.
What is the Magnitude of a VectorAs we know, the vector is an object which has both the magnitude as well as direction. To find the magnitude of a vector, we need to calculate the length of the vector. Quantities such as velocity, displacement, force, momentum, etc. are vector quantities. But speed, mass, distance, volume, temperature, etc. are scalar quantities. The scalar has the only magnitude, whereas the vectors have both magnitude and direction.
The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector. To calculate the magnitude of the vector, we use the distance formula.
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The amount of work done by a Crane in lifting a 10,000 kg car is estimated to be 3MJ. to what height is the car lifted (g=10ms
Answer:
The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be different due to factors such as air resistance and efficiency of the crane.
Explanation:
The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. To determine the height to which the car was lifted, we need to use the equation of work done (W) which is equal to the force applied (F) multiplied by the distance moved (d). Work done here is equal to 3MJ, force applied is equal to the mass of the car (10,000 kg) multiplied by the gravitational acceleration (10m/s2). Therefore, the equation to determine the distance moved (d) is:
W = Fd
3MJ = (10,000kg)(10m/s2)d
d = 3MJ/(10,000kg)(10m/s2)
d = 3,000m
This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be slightly different due to various factors such as air resistance and the efficiency of the crane.
To understand how this calculation was made, it is important to understand the concept of work. Work is defined as the product of force and the distance moved in the direction of the force. In this case, the force is the gravitational force acting on the car which is equal to the mass of the car multiplied by the gravitational acceleration (10m/s2). The distance moved is in the direction of the gravitational force which is upwards.
The next step is to calculate the work done by the crane in lifting the car. Work done is equal to the force applied multiplied by the distance moved. Here, the force applied is the mass of the car (10,000 kg) multiplied by gravitational acceleration (10m/s2) and the distance moved is the height to which the car was lifted. From the equation of work done, we can calculate the distance moved (d) which is equal to the work done (3MJ) divided by the force applied (10,000kg)(10m/s2). This gives us a value of 3,000m for the distance moved, which is the height to which the car was lifted.
In conclusion, the amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be slightly different due to various factors such as air resistance and the efficiency of the crane.
The height of the car is lifted is 3,000m.
What is Work done?Work done by a force is defined as the product of the displacement and the component of the applied force on the object in the direction of displacement. When we push a block with some force, the body moves with some acceleration, work is done.
Work done can be calculated with this equation:
Work = Force x Distance.
The SI unit for work is the Newton meter (N m).
The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. To determine the height to which the car was raised, we need to use the equation for work done (W), which is equal to the force applied (F) multiplied by the distance moved (d). Here the work done is equal to 3MJ, the force applied is equal to the mass of the car (10,000 kg) multiplied by the acceleration due to gravity is [tex]10m/s^2[/tex]
W = Fd
3MJ = (10,000)(10)d
d = 3/(10,000)(10)
d = 3,000m
Thus, the height of the car is lifted is 3,000m.
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What is the total pressure inside the tube assuming the volume of the tube remains constant?.
Answer :Total pressure = 7293.2 torr or 9.60 atm
What is volume ?
-- Volume is a measure of three-dimensional space.
-- It is often quantified numerically using SI derived units or by various imperial or US customary units.
-- The definition of length is interrelated with volume.
Total pressure = partial pressure of nitrogen + partial pressure of oxygen
The partial pressure due to nitrogen is determined using the equation of Gay-Lussac's law: P₁/T₁=P₂/T₂
P₁ = 760 torr = 1atm, T₁ = 28∘C = (273+28)K = 301k, P₂ = ?, T₂ = 310∘C =(310+273)K = 583K
P₂ = P₁ T₂/ T₁
P₂ = 760 * 583 / 301 = 1472.03 torr
The pressure due to Oxygen gas produced is calculated thus:
Balanced equation of the decomposition of Ag₂O at s.t.p. is as follows;
2Ag₂O ----> 4Ag + O₂(g)
2 moles of Ag₂O produces 1 mole of O₂
molar mass of Ag₂O = (2*108 + 16)g = 232g/mol
molar volume of gas at s.t.p. = 22.4L
2*232g i.e. 464g of Ag₂O produces 22.4L of O₂
5.57g of Ag₂O will produce 5.57g*22.4L/464g = 0.269L or 269mL of O₂
Using the General gas equation P₁V₁/T₁=P₂V₂/T₂
P₁ = 1atm = 760 torr, V₁ = 269mL, T₁=273K, P₂ = ?, V₂= 75mL, T₂ = 583K
P₂ = P₁V₁T₂/V₂T₁
P₂ = 760*269*583 / 75*273
P₂ = 5821.17 torr
Total pressure = (1472.03 + 5821.17) torr.
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What is the value of 1 newton in KG?.
How do you find the velocity of an object immediately after collision?.
If you have the other values, use the momentum equation p = m•v to determine an object's momentum or velocity.
When the momentum of each automobile is known, the after-collision velocity may be calculated by dividing the momentum by the mass (v=p/m). We can predict some things about the relative velocities before and after the impact if kinetic energy and momentum are conserved. Both before and after the impact, the relative velocity's magnitude is the same.
The impact velocity is calculated using the formula below. Take the square root of the result to determine the impact velocity by multiplying the height by the acceleration caused by gravity twice.
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What is the weight of the object if the acceleration due to gravity g is 9. 8 m s2?.
The weight of the object is 98 kg.m/s².
We are given that,
Acceleration due to gravity = g = 9.8m/s²
Mass of the object = m = 10 kg
An object's weight is calculated by multiplying its mass by the gravitational acceleration. To get a body's exact weight on a specific gravity field, apply the weight formula. Any mass that experiences weight does so because of gravity. The SI unit of weight is the Newton. The symbol for weight is W. Depending on the body's sensation of gravity, weight may change. The following are the basic weight-finding formulas:
W = mg (Newton),
Where W is the object's weight in Newton, m is its mass in kilogrammes, and g is its gravitational acceleration. The value of g on earth is 9.8 m/s².
W = 9.8m/s²× 10kg
W = 98 kg.m/s²
The complete question is,
The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s²). If an object’s mass is m=10. kg, what is its weight?
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A peron throw a rock traight up into the air. At the moment it leave the peron' hand it i going 80 mph. When the rock reache it peak, how fat i it going and what i the magnitude and direction of it acceleration? Ignore air drag. Expre your anwer uing appropriate mk unit
if a rock is hurled straight up from the earth's surface. The potential energy grows as the kinetic energy drops.
What happens to the velocity and acceleration of a rock thrown upward?The stone is hurled upward, and as it ascends, its speed decreases. When its velocity eventually zeroes out, it will return to its starting place. No matter the magnitude or direction of the velocity, the acceleration on the stone remains constant.The magnitude of a thrown rock's acceleration and velocity are both zero when the rock reaches the exact top of its route.A projectile is an object that is launched or projected into the air and is only subject to the acceleration of gravity. Projectile and trajectory both refer to the same thing: an object. The G will always act downward whether you throw up or down.To learn more about energy refer to:
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The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the function. Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams? round to the nearest hundredth of an inch. And ; inches and ; inches and ; inches and ; inches.
The system of equations that can be used to represent the radius of the mass of the cylinder is 11,000 grams is m = M(r) × π × r².
What is the formula for a cylinder's radius?We can calculate the radius of the cylinder using the formula for cylinder volume. Cylinder radii (r) = √(V / π × h), where V denotes a cylinder's volume, h denotes its height, and (Pi) denotes a mathematical constant with a roughly 3.14 value.
The radius of a barium cylinder with a height of 2 inches determines the mass of the cylinder, according to the function M(r) = 7.18872.
The following formula determines the cylinder's mass,
m = M(r) × π × r²
Substitute, the given terms
11000 = 7.18872 × 3.14 × r²
r = 22.06 inches.
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Complete question is " The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the
function M(r) = 7.18872.
Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams?
Round to the nearest hundredth of an inch".
Answer:
It is C on edge
Explanation:
Took the test and got it right R = 22.07
The region around a magnet where the magnetic forces act is the?
Answer:
Magnetic field.
Explanation:
Magnetic field is a region around a Magnet where a Magnetic force is excerted
How many moles are in 10g of o2?.
As a result, 10 g of oxygen gas contains 0.3125 moles of oxygen.
One mole of oxygen gas is equivalent to one gram of molecules. As a result, one mole of O2 gas is equal to one gram of oxygen molecules. O2 has a molecular mass of 32 grams. Its volume at STP is 22.4 L; its molar quantity is around 8 L, according to our calculations. In 10.0 g of O2, there are 1.51 x 10^23 molecules of O2.
The symbol for the unit is mol.
The number of moles formula is written as follows.
Here : The formula for moles is as follows:
= Mass of material / Mass of one mole equals the number of moles.
= 10/ 1.51 x 10^23
= 0.3125
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Why does earth have a lower amount of carbon in the atmosphere than planets such as venus and mars?(1 point).
Earth has a lower amount of carbon in the atmosphere than planets such as Venus and Mars because it consists of photosynthetic plants which utilize a high amount of carbon dioxide in their photosynthetic process.
What is the concentration of carbon in the earth's atmosphere?According to the report published by NASA, the concentration of carbon in the earth's atmosphere is found to be 412 parts per million. This significantly expresses the rise of about 47% since the initiation of the Industrial age.
On planets such as Venus and Mars, there is no existence of life. So, carbon gradually accumulated in its atmosphere. But when you talk about the Earth which comprises a huge diversity of organisms that utilizes a large of carbon and its components in their process which supports their metabolism.
Therefore, due to the presence of photosynthetic organisms on the earth's surface, Earth has a lower amount of carbon in the atmosphere than planets such as Venus and Mars.
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sinking air creates what type of pressure system at the surface?
A high-pressure system at the surface is created with sinking air.
High-pressure weather systems are also referred to as anticyclones that have higher atmospheric pressure at their center than the areas around them, resulting in cold air to be sinking. As the cold air sinks, it warms. It means that air can hold more water, so as a result no clouds or rain are formed.
So high-pressure weather system is associated with sinking air; on the other hand, a low-pressure weather system is associated with rising air.
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What is the most accurate way to measure torque?.
A dynamometer, or "dyno" test, is the most common method for measuring an engine's torque and power. This test is typically performed by connecting an engine's output shaft to a resistive load setup.
What is torque?Torque is a force that can cause an object to rotate around an axis. In the same way that force causes an object to accelerate in linear kinematics, torque causes an object to acquire angular acceleration. Torque is measured as a vector quantity. Torque is a rotational or twisting force expressed as a force. Vehicle engines generate torque by rotating about an axis. It can be thought of as a vehicle's strength. Torque propels a sports car from 0 to 60 kmph in seconds. Torque is also what propels large trucks hauling heavy loads.
Here,
The most common method for measuring an engine's torque and power is with a dynamometer, also known as a "dyno" test. Typically, this test is carried out by connecting an engine's output shaft to a resistive load setup.
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An aircraft waits at the start of a runway.
The aircraft accelerates from a speed of 0 m/s to a speed of 80 m/s.
The acceleration of the aircraft is 4 m/s².
Calculate the distance, x, travelled by the aircraft while it is accelerating.
Use the equation
X=v² -u²/2a
Explanation:
x=(80²-0²)/2×4
x=6400/8
x=800m
A _ is a measure of the _ in a wave. The greater the waves _ the more _ it has.
A amplitude is a measure of the energy in a wave. The greater the waves amplitude, the more energy it has.
Give a short note on amplitude?Amplitude is a measure of the energy or intensity of a wave. In physics, it is defined as the maximum deviation of a wave from its average position or equilibrium state.
In the context of sound waves, amplitude refers to the loudness of a sound. A sound with a high amplitude is louder than a sound with a low amplitude.
In the context of light waves, amplitude refers to the brightness of a light. A light with a high amplitude is brighter than a light with a low amplitude.
In the context of mechanical waves, amplitude refers to the maximum displacement of a point on the wave from its rest position.
In summary, amplitude is a measure of the energy or intensity of a wave and is represented by the maximum deviation of a wave from its average or equilibrium position.
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What is the formula to find the rate of change?.
Problems involving rate of change may be solved using the formula R = D/T, which states that the rate of change equals the distance travelled divided by the time it takes to go.
How are the rates of rise and decline calculated?Determine the difference (decrease) between the two numbers being compared before computing the percentage drop. As a result of the modification, the percentage change is indicated.
The rate of change is a ratio that compares changes in the y variable to changes in the x variable. The slope of the line equals the rate of change if the rate of change is constant and linear. The slope of a line can be positive, negative, or zero.
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Question 4 of 10
You add 100 mL of water at 20°C to 200 mL of water at 80°C. What is the
most likely final temperature of the mixture?
A. 50°C
OB. 60°C
C. 100°C
OD. 30°C
(asons
Heat received by cold water equals heat lost by hot water. 60°C is the ultimate temperature.
What does the term temperature mean?An evaluation of an object or substance's warmth or coolness in relation to a reference value.
a measurement of how much heat is required to raise the temperature of a material by one degree Celsius for every gramme.
The unit of measurement for specific heat is Joules per gramme per degree Celsius (J/g °C).
Let c represent the water's specific heat.
based on the calorimetry concept.
Heat received by cold water equals heat lost by hot water.
200 * c * (80 - T) = 100 * c * (T - 20) (T - 20)
∴ 200c (80-T) = 100c(T-20) (T-20)
∴2 (80-T) = T - 20
∴160-2T=T-20
∴ 160+20 = T +2T
∴180 = 3T
∴T = 60 C.
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What is the relation between torque and moment of inertia formula?.
An object rotates at an acceleration is inversely proportional to its moment of inertia when a torque is applied to it. Torque is defined mathematically as: τ = I α, where I is the moment of inertia and α is the angular acceleration.
I is usually given by the formula, I = m r².
In rotating motion, torque is the same as force in linear motion. It is the main factor that maintains an object's rotation.
Torque and rotational inertia replace force and mass, respectively, in the angular application of Newton's Second Law. The relationship between angular acceleration and torque is true when an object's rotational inertia is constant.
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What is net torque formula?.
the magnitudes of the individual rotational torque about a given axis, and the net torque the about axis seems to be the sum of the different torques: →τnet=∑i|→τi|.equilibrium
What is a torque, exactly?An object may be under the influence of many forces, each of which may act at a different position on the item. Each force will then result in a torque. The total of the various torques is the net torque.
What exactly are net torque and force?When an object is in static equilibrium, the resultant force and force exerted on it are both equal to zero. The force acting on an item is determined by multiplying its mass by its rate of acceleration.
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