As 'd' becomes doubled in the parallel-plate capacitor are connected to a battery, energy decreases by the factor of 2.
The energy stored in a parallel plate capacitor is given by the following formula:
[tex]U=\frac{1}{2} CV^{2}[/tex]
[tex]C= \frac{A}{d}[/tex]∈
then,
[tex]U= \frac{1}{2} \frac{A}{d} V^{2}[/tex] ----- (1)
As it can be seen from the equation (1) that energy is inversely proportional to the separation between the plates. 'D' becomes doubled, and energy decreases by the factor of 2.
Energy stored in a capacitor can be expressed as the following:
E = (1/2)CV^2 .....1
We must know that the capacitance of a capacitor is inversely proportional to the distance between the two plates.
C = kA/d ....2
Whenever the value d doubles, and every other determinant of capacitance remains the same, the value of capacitance is halved.
Cf = kA/2d = C/2
Cf = C/2
Potential difference remains the same, the energy stored would also be halved since the energy stored in the capacitor is directly proportional to the capacitance.
Ef = (1/2)(Cf)V^2
Ef = (1/2)(C/2)V^2 = [(1/2)CV^2]/2
Ef = E/2
Where;
E is the initial energy stored in the capacitor respectively
Ef is the final energy stored in the capacitor respectively
C is the initial capacitance of the capacitor.
Cf is the final capacitance of the capacitor.
d is the distance between the plates
A is the area of plates
k is the permittivity of dielectrics
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What source of law is provided by the Tenth Amendment to the Constitution?.
The Tenth Amendment to the Constitution states that "The powers not delegated to the United States by the Constitution, nor prohibited by it to the states, are reserved to the states or to the people." This amendment is a source of law that limits the powers of the federal government and reserves certain powers to the states or the people. It is a principle of federalism, which divides the power between the federal government and the state governments. The powers that are not delegated to the federal government are left to the states or the people to decide.
What are the two factors on which torque depends?.
The two factors upon which torque depends are the magnitude of force and the perpendicular distance from the point to the line of action of force.
It is also called as moment of force. The standard units of torque are N.m.
Mathematically, torque is written as, τ = r × F.
where, τ is torque, r is perpendicular distance, F is force.
Three factors affect how much torque a rigid body produces. the applied force, the vector of the lever arm that connects the torque measurement point to the application point of the force, and the angle formed by these vectors. τ = r F sinθ
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Which part of the microscope is most important in determining its resolving power? Why?
The light source and aperture are most important in determining the resolution of the microscope, as the resolution of the microscope is determined by the cone of light entering the lens, the refractive index, and the wavelength of the light.
The most important factor in determining the resolution of a microscope is the numerical aperture (NA) of the objective lens. The higher the NA, the higher the resolution. However, other factors also play a role. The numerical aperture of the condenser that forms the beam of light that illuminates the object on the slide should match the numerical aperture of the objective lens (or at least not be much smaller). Another factor is the refractive index of the medium between the objective lens and the slide. For low magnification lenses (low NA) this medium is usually air. Air has a refractive index of 1.0 (for the wavelengths of light used in microscopy).
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Explain perfectly elastic collision
A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.
Give an example of an absolutely elastic collision?In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.
What is an absolutely inelastic collision?photo of A description of completely elastic collision
When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.
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A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.
Give an example of an absolutely elastic collision?In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.
What is an absolutely inelastic collision?photo of A description of completely elastic collision
When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.
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What is the kinetic energy of a car that has a mass of 1000 kg and is moving at a speed of 30 m s?.
A automobile with a mass of 1000 kg and a speed of 30 m/s has kinetic energy equal 450,000 J.
If an object's mass increases, so will its kinetic energy. The object's speed is given by v. The aforementioned connection demonstrates that an object's kinetic energy is directly proportional to the sum of its mass and velocity.
Possible explanation: Because kinetic energy and speed are closely correlated, an object's kinetic energy increases as its speed increases. The nonlinear (square) proportional relationship (KE v2) between kinetic energy and speed 1. As an object's speed doubles, its kinetic energy grows four times. 2. As the object's speed is halved, the kinetic energy falls by a factor of four.
K.E: 1/2 *m * v^2
K.E= 1/2* 1000* 30^2
K.E = 450,000 J
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A 4600 kg bus traveling at 26.6 m/s can brake and comes to a stop in 47m. What is the force applied by the brakes?
The force applied by the breaks on the bus traveling at 26.6m/s will be 34,546 Newtons.
First we have to calculate the negative acceleration applied by the breaks. We know that [tex]v^{2} - u=2as^{2}[/tex], where V is the final velocity, u is initial velocity, s is the displacement and a is the acceleration Therefore, by putting the given values, we get :
⇒(0 x 0)- (26.6 x 26.6)=2 x 47 x a
⇒-[tex]\frac{706.56}{2*47}[/tex]
⇒-7.51
∴ Acceleration applied by the breaks is -7.51 [tex]ms^{2}[/tex]
Now, by F=ma, we can calculate force as we already know the mass of the bus. Therefore,
⇒m x a
⇒4600kg x (-7.51)ms-2
⇒34,546 Newtons will be the answer.
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What is meant by torque multiplication in the context of torque converter?.
The torque multiplication ratio of a basic torque converter would be around 2.5:1. The most important thing to keep in mind is that all torque converters which are in proper working order increase torque while initiating initial acceleration.
The moment the vehicle first begins to move, the torque multiplier reaches its maximum. The torque multiplication falls off as speed rises. Torque multiplication virtually disappears as the impeller as well as turbine speeds become close to one another.
Force times distance, or T2L2M, would be the dimension of torque. The official SI literature advises using the unit newton-meter (Nm) as well as don't ever the joule, despite the fact that these fundamental dimensions were identical to those used for energy and work. The appropriate abbreviation for the newton meter is Nm.
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What is the final acceleration of a ball dropped?.
Every object falling freely accelerates at roughly the same rate near the surface of the earth. A g signifies this acceleration. The earth's center is where it is headed downward.
Constant g = 9.8 m/s^2 downward acceleration is experienced by objects in free fall. Newton's second law of motion, Force = Mass * Acceleration, can be used to describe the motion of an object falling (a).
We can use a little mathematics to find the object's acceleration as a function of the object's mass and the net external force (a = F / m). What is meant by acceleration: a measure of how quickly a speed changes over time. Because it has both a magnitude and a direction, acceleration is a vector quantity.
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Collisions , please help.
The energy of the ball is transformed into heat during the contact. As there is no more energy imparted to the ball, it returns with less kinetic energy and is unable to rise as high.
What happens to the kinetic energy of the ball after its collision?There are a variety of sizes, masses, and materials used to make balls for sports. Many of them bob. The bounce can be interpreted as a collision, whether it occurs when a basketball bounces off the ground, a tennis ball bounces off a racket, or pool balls collide. Let's look at physics to see whether it can explain what happens.The ball first picks up speed or kinetic energy—the energy of motion—when it bounces before falling. When it gets to Earth, it slams against a large object that is, from your vantage point, at rest, and the two of them collide. The ball comes to a stop, briefly deforms, and then rebounds. Because it is crushed and then expands once again, the air inside the ball behaves like a spring. The ball's energy is partially transformed into heat during the contact.This causes the ball to launch up with less energy than it did when it first hit Earth. The impact has little effect on our planet's motion because it is so large.To Learn more About kinetic energy refer To:
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What is the kinetic energy of a 10 kg object moving at 5 ms?.
The kinetic energy for an 10 kg object at a 5 m/s speed is 125.
Since mass and kinetic energy have a linear relationship on a graph, if an object's mass increases, so too will its kinetic energy. The object's speed is v. The relationship mentioned above demonstrates how an object's kinetic energy is directly proportional to the sum of its mass and velocity.
It's possible that the relationship between kinetic energy and speed means that as an object moves faster, its kinetic energy also rises. Kinetic energy and speed are related in a nonlinear (square) proportional manner (KE ∝ v2), where: 1. As an object's speed doubles, its kinetic energy grows fourfold. 2. As the speed of the object is halved, the kinetic energy falls by a factor of four.
K.E = 1/2 *m *v^2
K.E = 0.5*(10)*(5^2)
K.E= 125
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What is 1 Nm of torque?.
1 Nm (Newton-meter) is a unit of torque, which is a measure of the twisting force applied to an object, such as a shaft or a nut.
It is defined as the amount of force required to rotate an object around an axis by one radian (about 57.3 degrees). In other words, one Nm of torque is equal to the force of one Newton (N) acting at a distance of one meter (m) from the axis of rotation. It is a common unit of torque used in the field of mechanics and engineering, particularly in the design and operation of machines and vehicles. Torque is also related to the angular velocity of an object, and the rotational energy, which is calculated by multiplying the torque by the angle through which the object rotates. In a mechanical system, torque is often controlled by adjusting the position of the mechanical load or by applying a force to a lever to generate torque.
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What’s an example of an unbalanced force
Answer:
When you kick a football and it moves from one place to another
Explanation:
This means that the unbalanced force troops are acting upon it. The ball moves from one place to another after it's kicked. This is an example of an unbalanced force
Ingrid live in a cold country that ometime get lot of now. When that happen , people can enjoy the port of kiing. Ingrid goe outide to ee if the now i fit for kiing. She ink into the now , but when he put her ki in,he can move over the now without kiing. Why?
She puts her skis in with less pressure because her skis have a larger surface area than her shoes do. Thus, Ingrid doesn't need to ski to travel across the snow.
The pressure on the snow is reduced by the size of the skis. The pressure on the snow is lessened by the larger surface area of skis. This prevents the skis from burying themselves too deeply in the snow.
Pressure is defined as the force perpendicularly applied to an object's surface divided by the area across which it is distributed. Gauge pressure is the pressure in relation to the air pressure outside. To express pressure, various units are employed.
Ingrid can move over the snow without skiing because there is less pressure when she puts her skis on compared to her shoes.
The question is incomplete. The complete question is 'Ingrid lives in a cold country that sometimes gets lots of snow. When that happens , people can enjoy the sport of skiing. Ingrid goes outside to see if the snow is fit for skiing. She sinks into the snow , but when she puts her skis in, she can move over the snow without skiing. Why?'
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A 1,383 kg racecar is traveling at 18 m/s east when it accelerates at a constant rate of 1 m/s2 for 1.57 s. What is its change in momentum during this time?
change in momentum during this time is 2166.71 kg m/s.
To find the change in momentum during this time, we can use the equation for momentum, which is:
momentum = mass x velocity
We can also use the equation for acceleration:
a = (vf - vi) / t
Where "a" is acceleration, "vf" is final velocity, "vi" is initial velocity and "t" is time.
We are given that the car's initial velocity is 18 m/s east, the acceleration is 1 m/s2, and the time is 1.57 s. We can use these values to find the car's final velocity:
vf = vi + (a x t)
vf = 18 + (1 x 1.57)
vf = 19.57 m/s east
Now that we know the final velocity of the car, we can use the equation for momentum to find the change in momentum:
change in momentum = mass x (vf - vi).
change in momentum = 1383 x (19.57 - 18).
change in momentum = 1383 x 1.57.
change in momentum = 2166.71 kg m/s.
So, during this 1.57s of time, the car's momentum changes from 18m/s to 19.57m/s east and total change in momentum is 2166.71 kg m/s.
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What is the law of inertia also known as?.
Newton's first law, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity unless acted upon by an external force.
In simple terms, it says that an object will remain in its current state of motion unless acted upon by a net force.
This means that if an object is moving in a straight line at a constant speed, it will continue to move in that way unless something changes its motion.
Similarly, if an object is at rest, it will stay at rest unless something applies a force to it. This law is fundamental in understanding the principles of motion and forms the basis for many other laws of physics.
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What is infrared used for?
. Electrical heating
. Energy efficient lamps
. Satellite communications
. Sun tanning
How many rubber bands are needed to cause an object with half the mass to accelerate six times as quickly?
The number of rubber bands that will cause an object with half the mass to accelerate six times as quickly is 6.
Newton's second law of motion is a quantitative depiction of the progressions that a power can create on the movement of a body. It expresses that the time pace of progress of the energy of a body is equivalent in both greatness and bearing to the power forced on it. The force of a body is equivalent to the result of its mass and its speed.
So,we have given some of parameters like,
number of rubber band = 2acceleration = aLet the mass of the object = mThe force applied to the object by the two rubber bands, according to newton second law of motion is
F = ma
2 = ma--------(eq1)
When the mass of the object is halved, the number of rubber bands required is calculated as;
2/ma=n/(m/2)×6a
=>2/ma=2n/6ma
=>n=(2/ma)×(6ma/2)
=>n=6
Hence,6 rubber bands will be needed.
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(Complete question) is:
Two rubber bands cause an object to accelerate with acceleration a. How many rubber bands are needed to cause an object with half the mass to accelerate six times as quickly?
What is law of inertia short answer?.
The law of inertia is about the tendency of any object to remains in state of motion until and unless an external force is applied to it.
The law of inertia states that any object remains in its state of motion, (either in rest or in motion) until and unless an external unbalanced force is applied to it. For example if a car is travelling at a constant speed then it will continue to remain in this state for ever. But practically it comes to at rest state after covering some distance. This is due to the opposite force of friction working between the tires of the car and the road surface.
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What information is given on the X-axis of the graph below?
answers:
there is no x axis
years from 1920-2005
co2 concentration
the name of the observatory
The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).
What is a graph?A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.
A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.
On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.
Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.
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The full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is ? .
The full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is 12.7 A.
To calculate the full-load current of a 25 horsepower, 480-volt, 3-phase, squirrel-cage induction motor, you can use the formula:
Full-load current (I) = (Horsepower * 746) / (Voltage * 1.73 * Power factor)
where 1.73 is the square root of 3, which accounts for the 3-phase power and Power Factor is assumed to be 0.8
Plugging in the given values, we get:
I = (25 * 746) / (480 * 1.73 * 0.8)
I = 25746/(4801.73*0.8)
I = 25746/(4803.07)
I = 25*746/1478.4
I = 25*0.508
I = 12.7 A
Therefore, the full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is 12.7 A.
It's worth noting that this is just an approximation and the current can vary depending on the motor design, the load and the power factor.
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What is angular momentum write its SI unit and dimension?.
It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. It is a vector quantity, which means that the direction is taken into account in addition to the magnitude. It is expressed in SI base units: Kg.m2.s-1
What is angular momentum?Angular momentum is the rotational equivalent of linear momentum in physics. It is an important physical quantity because it is a conserved quantity—in a closed system, the total angular momentum remains constant. Both the direction and magnitude of angular momentum are conserved. The property of any rotating object given by moment of inertia times angular velocity is defined as angular momentum. It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. An object's angular momentum is the product of its rotational inertia and angular velocity. The angular velocity of an object is the rate at which it turns.
Here,
It is a rotating body property that is determined by the product of the rotating object's moment of inertia and angular velocity. It is a vector quantity, which means that the direction, in addition to the magnitude, is considered. It is written in SI base units: Kg.m2.s-1
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the magnitude of an unbalanced force applied to a 4.0 kilogram crate is 10. newtons .If the magnitude of this applied unbalanced force is doubled,the inertia of the crate is
Newton, There will be mass is 4.080, So acceleration will be equals to 2.50 m per cent in the square.
How powerful was the force that acted on the crate?The crate’s acceleration is 0 since its velocity is constant. As a result, the total of the forces equals zero. Because the forces resist each other, the lifting force must be equal to the weight of the item. The magnitude of the upward force on the container is thus 490.5 Newtons.
The amount of force is expressed as mass times length times time squared. The most common metric unit is the newton (N), which is defined as one kilogram times one meter over one second squared. Magnitude – Distance Formula – used to calculate the connection between apparent magnitude, absolute magnitude, and object distance.
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. Which will exert more pressure, 100 kg mass on 10 m3 or 50 kg mass on 4 m2? Give reason
The 50 kg mass on 4 m2 on will exert more pressure.
What is pressure?
Pressure is described as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Mathematically pressure = force / area
From Newton's second law
force = mass x acceleration where Acceleration due to gravity = 9.8m/s²
Comparing both pressures where
P1 = 100x 9.8 / 10
p1 = 100 pa
p2 = 50 x 9.8/ 4
p2 = 125 pa
Therefore The 50 kg mass on 4 m2 on will exert more pressure since it exerts more pressure.
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A sonar signal of frequency 1 x 10^6 Hz has a wavelength of 1.5 mm in * 30 points
water. a) What is the speed of the signal in water? b) What is its period in
water? c) What is its period in air?
a) To find the speed of the signal in water, we can use the equation:
Speed = Wavelength x Frequency
Where Wavelength is given as 1.5 mm and Frequency is given as 1 x 10^6 Hz.
Speed = 1.5 x 10^-3 m x 10^6 Hz = 1.5 x 10^3 m/s
So the speed of the signal in water is 1.5 x 10^3 m/s
b) To find the period in water, we can use the equation:
Period = 1 / Frequency
Where Frequency is given as 1 x 10^6 Hz
Period = 1 / (1 x 10^6) s = 1 x 10^-6 s = 1 microsecond
So the period of the signal in water is 1 microsecond
c) The speed of sound in air is approximately 343 m/s. Since the frequency of the signal remains constant and the speed of sound in air is different than the speed of sound in water, the wavelength of the signal will also be different. However, since the period is inversely proportional to the frequency and is independent of the medium, the period of the signal in air will be the same as in water, which is 1 microsecond.
As part of the volcanic eruption of Mount St. Helens in 1980, there was a large horizontal blast and accompanying landslide that had a horizontal force of about 3.4 x 1021 N that lasted for about 2.5 minutes. Calculate the angular impulse this generated if Earth's radius is 6371 km. Explain why this did not have a measurable effect on Earth's angular momentum (L = 5.9 x 1033 kg.m²/s).
88 kilometers northeast of Portland, amid the Cascade Mountains, is the stratovolcano Mount St. Helens. Since the volcano only developed about 40,000 years ago, it is a rather recent formation. It is the Cascade Range's most active, though.
What is Mount st. helens?The Cascade Mountain Range is a part of the Pacific Ocean's massive Ring of Fire, which frequently experiences powerful earthquakes and volcanic eruptions.
Through the state of Washington, the mountain range runs from British Columbia (Canada) to California.
The name of the summit was given by George Vancouver, a British navigator for the Royal Navy who discovered North America's Pacific Coast, according to the United States Geology Survey (USGS), in honor of Alleyne FitzHerbert, a British diplomat and a friend of his.
Therefore, 88 kilometers northeast of Portland, amid the Cascade Mountains, is the stratovolcano Mount St. Helens. Since the volcano only developed about 40,000 years ago, it is a rather recent formation. It is the Cascade Range's most active, though.
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what is the approximate distance of the surface to the center of earth???
About 2,900 kilometers (1,802 miles) beneath the surface of the Earth, the core can be located.
What is distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Furthermore, it is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
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what is not a force that controls the motion of everyday objects
The following forces govern the motion of common objects that is gravity, friction, and applied forces.
Every thing was pulled downward by gravity, which prevented them from rising into the air. Every movement is subject to forces from friction in the opposite direction. Applied forces dictate how objects move according on the purpose of people who apply them.
The electromagnetic force, weak and strong nuclear forces, gravitational force, and other fundamental forces all play important roles in the cosmos. However, the main factors of relevance when it comes to the motion of common things are gravity, friction, and applied force.
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How do you calculate maximum g force?.
Relative Centrifugal Force or g force is calculate with the formula-
g force (RCF)= (RPM)² x 1.118 x 10⁻⁵ x r where, r is the radius .
The relative centrifugal force, or g force, is the radial force generated by the spinning rotor in relation to the gravitational force of the Earth. The g force acting on particles is proportional to the rotational speed measured in revolutions per minute (RPM).
Increasing the rotational speed by a factor of four increases the centrifugal force. The centrifugal force increases with distance from the axis of rotation. When choosing the right centrifuge, these two parameters are crucial.
The RCF or g force is proportional to the rotational speed in RPM and the particle distance from the centre of rotation. When the rotational speed is given in RPM and the distance (r) is given in centimetres.
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What is torque formula Class 12?.
Torque is calculated using the formula, τ = r × F, where, r is the perpendicular distance, F is the force.
It is also described as the cross product of distance vector and force vector. Mathematically, τ = r × F = r F sinθ, where, θ is the angle between r and F.
For example, a force is applied to a particle free to rotate about a fixed axis. Force is shown divided into perpendicular and parallel components. Torque is pointed outward from the page and has the magnitude
τ = r F sinθ
Newton-meters, sometimes known as N.m, are the SI units for torque. Although these units are the same as joules, torque isn't considered to be work or energy, therefore N.m should be used instead.
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What is the formula of momentum Class 11?.
Momentum is defined as the product of mass and velocity units. We can use the simple formula P=mv to calculate momentum, where P is the momentum.
What is momentum?It is measured by "mass velocity," because momentum depends on velocity, and it also depends on the direction of the body's motion. Momentum is a vector quantity because velocity is a vector and mass is a scalar quantity. Momentum equals mass multiplied by velocity. Momentum is defined as "mass moving." Because all objects have mass, if an object moves, it has momentum - its mass is in motion. Momentum is the amount of motion of a moving body, calculated as the product of its mass and velocity. Its formula is mass velocity.
Here,
The product of mass and velocity units is defined as momentum. To calculate momentum, we can use the simple formula P=mv, where P is the momentum.
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