The magnitude of 4i 3j is 5 unit.
The definition of magnitude is the amount of a quantity. For example, the magnitude can be used to describe the difference in speed between a car and a bicycle. Additionally, it can be used to describe how far an object has traveled or how much of an object is represented by its magnitude.
To find the magnitude of a vector, we can use this following formula:
∥a∥ = √ ( x² + y² )
In this case, we are given that:
X = 4, Y = 3
Thus, the magnitude of the vector is:
∥a∥ = √ (4² + 3²)
∥a∥ = √25
∥a∥ = 5
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What is the difference between g and g Class 9?.
You are standing at rest at a bus stop. A bus moving at a constant speed of passes you. When the rear of the bus is 12. 0 m past you, you realize that it is your bus, so you start to run toward it with a constant acceleration of how far would you have to run before you catch up with the rear of the bus, and how fast must you be running then? would an average college student be physically able to accomplish this?.
An average college student should be able to accomplish this.This is because 24 meters is a relatively short distance and 2 meters/second is a slow running speed.
What is distance?Distance is a measure of the amount of space between two points or objects. It is a scalar quantity, meaning it has magnitude but not direction, and is typically measured in units such as kilometers, miles, or meters. Distance can be measured in terms of length, width, or height. Distance is an essential element of everyday life and is used to calculate the length of a journey, the speed of a vehicle, or the time it takes to get from one place to another.
The distance you would have to run before you catch up with the rear of the bus is 24 meters. The speed you must be running at when you catch up with the bus is 2 meters/second.
An average college student should be able to accomplish this. This is because 24 meters is a relatively short distance and 2 meters/second is a slow running speed. This can easily be achieved by an average college student.
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A olid weigh 0. 04N in air and 0. 024N when immered in aliquid of denity 800kg/m3 what i the volume of olid (g10 m/2
Answer: Correct answer is 2 × 10^-6
What is Upthrust force ?
-- Upthrust force is simply any force that is causing something to be pushed upwards.
--Archimedes' principle is a law of physics fundamental to fluid mechanics.
-- When an object is put into water or another liquid, there are two forces acting on it -
-- its weight pulling it down and upthrust force pushing it up.
Here in this question we need to find the actual volume of body
-- Upthrust = weight fluid displacement .
Weight of body in air - 0.04N
Weight of body immersed in liquid - 0.024N
So according to above situation
0.040 - 0.024 = PVg
0.016 = 800 x V x 10
V = 2.0 x 10^-6 m3
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The figure below shows the emission spectra for helium (He24) and uranium (U92238). A neutral helium atom has just two electrons, while a neutral uranium atom has 92. Briefly explain why the emission spectrum for uranium has so many more lines than the helium spectrum.
The emission spectrum for uranium has many more lines than the helium spectrum due to the increased number of energy levels and transitions possible in a neutral uranium atom as compared to a neutral helium atom.
What is the emission spectrum about?In order to understand why the emission spectrum for uranium has many more lines than the helium spectrum, it's important to understand how emission spectra work. When an atom is excited, for example by heating, electrons in the atom absorb energy and move to higher energy levels or orbitals.
The emission spectrum for helium has only a few lines because it has only two electrons. These electrons occupy only a few energy levels and can only make transitions between these levels, which results in a few emission lines.
However, in the case of uranium, it has 92 electrons which occupy many energy levels. As a result, there are many possible transitions between energy levels, and thus many lines in the emission spectrum. The more electrons an atom has, the more complex its emission spectrum will be.
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0 7. 7
Give one concluion that can be made about the relationhip between the length of a
kayak and the eae of turning. [1 mark]
Give two concluion that can be made about the relationhip between the hape of
the kayak and it tability
Using the paddle to grasp the water and then moving the pressure from the blade through your body and into your kayak is called transferring power.
How does length affect kayak?Shorter hulls turn more rapidly, whereas longer boats have more storage space for overnight touring equipment and cruise more effectively. The difference in length of a few inches won't be obvious, but two feet or more will be apparent. Depth: Long-legged kayakers have more space thanks to deeper hulls, which also provide a little extra storage.Since both of these muscle groups need to be actively moving during paddling, kayakers must have strong shoulders and arms.Canoeing is sometimes referred to as kayaking, with the kayak being the name of the boat used. Crossing a stream of water is the main goal of canoeing.To learn more about kayak refer to:
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Is gravitational field strength always 9. 8 N kg?.
The gravitational field strength of the Earth is 9.8 N/kg. Accordingly, an item will experience 9.8 N of force for every kg of mass. The weight of an object is smaller where the gravitational field is weaker.
The Moon, for instance, has a gravitational field that is 1.6 N/kg strong. This indicates that an object will encounter 1.6 N of force for every kg of mass. An astronaut will therefore be lighter on the Moon than they are on Earth.
One of the most significant forces in the universe is gravity. Weight is the force that an object with mass experiences when it is in a gravitational field.
Gravitational weight is not usually immediately apparent. The International Space Station astronauts look to be weightless. They still have weight, though, because they are still in orbit around the Earth and are subject to its gravitational field. Because they and the space station are always descending toward Earth, they appear to be weightless.
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A car uses 15 Joules in 23 seconds. Find power.
Power= 0.6521739130434783 Watts
Power is the amount of energy transferred or converted per unit time. The unit of power is watt, that is equal to one joule per second. Power is a scalar quantity.
Power = work/time,
P = w/t,
w = 15 joules
t = 23 seconds
P = 15/23
= 0.6521739130434783 Watts
Work is measured in joules and Time is measured in seconds.
Therefore, power is 0.6521739130434783 Watts.
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In studying motion, you need to account for how ______changes As____Passes
In studying motion, you need to account for how position changes changes as time passes.
The position of an object is usually described in terms of its distance from a reference point, and motion is the change in position over time. To study motion, you need to observe how an object's position changes as time passes, and use this information to describe and explain the motion. This is done by using different quantities such as distance, displacement, speed, velocity and acceleration, which allow to quantify and analyze the motion.
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What are Newton's 1st 2nd 3rd and 4th laws of motion?.
Newton's 1st, 2nd, 3rd, and 4th laws are 1) Law of inertia 2) Force's law 3) action-reaction relationship and 4) Newton's law of gravitation.
Newton's 1st law also known as the law of inertia. A balling rolling on the ground stops after some time due to the opposite force of friction working between the ball and the ground.
Newton's 2nd law of force states that the rate of change of momentum of an object is equal to the force applied by the object. When a bullet is fired from a gun change in the momentum of the bullet generate the force that cause the bullet to be fired and to generate the recoil velocity in the gun.
Newton's 3rd law states the action-reaction relationship. When a rocket is launched from the earth, it applies a force on the ground that generate the enough reaction force that causes the rocket to generate orbital velocity.
Newton's 4th law of gravitation states that every object attracts every other object in the universe with a force, called gravitational force. This force is directly proportional to the product of the masses of both the object and inversely proportional to the square of the distance between them. Mathematically it is described as:
F = GmM/R²
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What are the formulas to calculate weight and mass?.
Answer:
[tex]w=mg[/tex] and [tex]m=\frac{w}{g}[/tex]
Explanation:
its formulas how can someone explain such simple stuff...
What force depends on mass and gravity?.
Gravitational force depends on mass and gravity.
Gravity has a force called gravitational force which is the force that pulls an object toward the earth. example, A leaf or fruit falls from a tree to the ground, river water flows down a river, or a ball is thrown up and lifted up and returned to the ground, to name a few examples of motion due to gravity. It is the force that exists between all objects in the universe. Two non-zero mass objects or particles are attracted to each other by gravity. Gravity acts on objects of all sizes, from elementary particles to clusters of galaxies.
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Are the magnitude and direction of a − b same as that B − A?.
No, its not. The direction of a vector is not the same as the direction of its negative. So, the direction of a - b is opposite to the direction of b - a.
Vector magnitude and directionThe magnitude of a vector is a scalar value and is independent of the direction of the vector. The direction of a vector is typically represented by a unit vector, which has a magnitude of 1.
The magnitude of a vector can be described as the length or the size of the vector. It is a scalar quantity and is independent of the direction of the vector. The magnitude can be calculated using the formula: |a| = √(a.x² + a.y² + a.z²) where a.x, a.y, and a.z are the x, y, and z components of the vector.
The direction of a vector can be described as the direction in which the vector is pointing. It is typically represented by a unit vector, which has a magnitude of 1. The direction of a vector can be calculated by normalizing the vector, which involves dividing the vector by its magnitude.
In the case of a - b and b - a, the magnitude of both vectors is the same, as the difference in position between two points is the same regardless of the order of the points. However, the direction of a - b is opposite to the direction of b - a, because the direction of the vector is the direction from the starting point to the ending point, and the starting and ending points are different between the two vectors.
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When a capacitor that operates at 1,000 volts or less is removed from an energized circuit, the charge on the capacitor shall be drained to ? or less within ?
When a capacitor that runs at 1,000 volts or less is disconnected from an active circuit, the charge must be reduced within a reasonable amount of time to a safe level or less.
What will happen if a capacitor is completely drained?The safe level of charge for a capacitor that operates at 1,000 volts or less is typically considered to be below 50 volts.The appropriate time frame for draining the charge on a capacitor depends on the specific application and the safety regulations that apply to it.The National Electric Code (NEC) in US and other international standards have different regulations for safe handling of capacitors and the time frame for discharging the capacitors.It is important to consult the appropriate safety regulations and guidelines for the specific application in order to determine the correct time frame for draining the charge on a capacitor.It's also important to use the right tools and equipment to discharge the capacitors safely, such as using a discharge wand, bleeder resistors and etc.To summarize, when a capacitor that operates at 1,000 volts or less is removed from an energized circuit, the charge on the capacitor shall be drained to a safe level (generally less than 50 Volts) within an appropriate time frame, in compliance with the safety regulations.To learn more about capacitor refer:
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A cientit deign an experiment to meaure the impact force of a falling object to the ladder to a different rung and drop a ball on the cale and climb to a higher rung to continue the experiment
The experiment can be used to measure the impact force of a falling object to the ladder to a different rung. By dropping the ball from different rungs and measuring the impact force.
What is the experiment ?The goal is to create original content that is free from any form of plagiarism. The words should be written in a way that expresses the writer's unique perspective or opinion on the topic. The challenge is to come up with one hundred original words that accurately convey the writer's thoughts and feelings.
1. Set up a ladder with different rungs at different heights.
2. Put a ball at the base of the ladder.
3. Measure the exact height of each rung.
4. Drop the ball from each rung and measure the impact force by using a force meter.
5. Record the impact force for each rung and compare the results.
6. Repeat the experiment multiple times to ensure accuracy.
The experiment can be used to measure the impact force of a falling object to the ladder to a different rung. By dropping the ball from different rungs and measuring the impact force, we will be able to determine how the impact force changes when the object is dropped from a higher rung. This experiment will help us understand the relationship between the height of the rung and the impact force.
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What is Newton's 3rd law of motion give 2 examples?.
Newton's 3rd law states that for every action there will always be an equal and opposite reaction. 2 examples of newton's 3rd law are a) launching of a rocket, b) firing a bullet from the gun.
Newton's 3rd law states that for every action there will always be an equal reaction in the opposite direction. When a rocket is launched from the earth, it applies a force on the ground that generate the enough reaction force that causes the rocket to generate orbital velocity.
On the other hand, when a bullet is fired from a gun it applies a force on the gun, which generate a recoil velocity in the gun. The gun also applies equal reaction to the bullet. As the bullet mass is very less as compared to the gun, so the velocity generated in the bullet will be much higher than the recoil velocity.
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two train cars of identical mass (m=10.0kg) collide and move off as shown. the left car was initially traveling at 2.0m/s right and the right car was initially traveling at a velocity of 3.0 m/s left. after the collision, the left car was traveling at a velocity og 2.5m/s to the left
Explanation:
m1u1+m2u2=m1v1+m2v2
10×2 + 10×-3 = 10×-2.5 + 10v2
20-30=-25+10v2
-10+25=10v2
15=10v2
v2=1.5m/s to the right
The two cars stick together and move off with a final velocity of 2.5 m/s to the left indicating that there is a loss of kinetic energy, and the collision is inelastic.
In an inelastic collision, two or more objects collide and stick together after the collision, resulting in a loss of kinetic energy. In such collisions, the objects involved deform or undergo some other form of internal interaction that dissipates energy. As a result, the total kinetic energy of the system decreases.
Momentum is still conserved, meaning that the total momentum of the system before the collision is equal to the total momentum after the collision.
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Your question is incomplete, most probably the full question is this:
Two train cars of identical mass (m=10.0kg) collide and move off as shown. the left car was initially traveling at 2.0m/s right and the right car was initially traveling at a velocity of 3.0 m/s left. after the collision, the left car was traveling at a velocity of 2.5m/s to the left. What type of collision is depicted here?
Why is a mole 6. 022 x10 23?.
The mole value stated, 6.022 x 10^23, is known as Avagadro's number for the scientist who determined how many atoms there are in 12 grams of carbon.
Why use 12 grams: Theoretical atomic mass of the carbon-12 isotope is given here (6 protons and 6 neutrons). The name is completely unrelated to the animal. Wilhelm Ostwald, a German chemist, is typically credited with coining the term. The Latin term moles, which meaning "a mass," is ultimately where the word mole originates, not from German.
A mole is a crucial unit of measurement used by chemists. Similar to how having a dozen eggs says you have twelve eggs, having a mole of something indicates that you have 602,214,076,000,000,000,000,000 of that particular thing. Chemists are required to measure in moles.
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Correct Question:
Why is a mole 6.022 x 10^23?.
the tension force in a cable can be resolved into a horizontal component and a vertical component.
the tension of the cable is 2000N
the cable makes an angle of 20 degrees with the horizontal.
draw a vector diagram to determine the magnitude of the two components of the tension force in the cable.
The two components of the force are;
Vertical component = 684 N
Horizontal component = 1879 N
How do we resolve the tension force?We have to note that the tension force that is know to act along a string. We have to note that the tension force just like all the other forces that we have must have direction. The direction of the force can also be resolved into the vertical and the horizontal components of the force.
Now we know that;
Vertical components of the force = 2000 N sin 20 = 684 N
Horizontal component of the force = 2000 N cos 20 = 1879 N
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if the rms value is 125 volts, what is the peak value?
if the RMS value is 125 volts, the peak value is 177.7 volts.
The peak value of an alternating current (AC) signal can be calculated from its root mean square (RMS) value.
In this case, if the RMS value is 125 volts, the peak value can be determined by multiplying the RMS value by the square root of 2.
This results in a peak value of approximately 177.7 volts.
The calculation can be seen as follows:
Peak Value = RMS Value x Square Root of 2
Peak Value = 125 x √2
Peak Value = 177.7 volts
The peak value is important in electrical engineering as it is used to determine the maximum voltage in an AC signal, allowing engineers to better understand the power requirements of a given circuit.
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How do pressure and temperature change inside Earth as depth increases? A. Pressure and temperature decrease. B. Pressure increases; temperature decreases. C. Pressure decreases; temperature increases. D. Pressure and temperature increase.
The pressure inside the Earth increases as depth increases; The temperature drops. Here option B is the correct answer.
As depth increases, the weight of the overlying rock and soil increases, causing an increase in pressure. Additionally, the temperature inside the Earth increases with depth due to the heat generated by the radioactive decay of elements in the Earth's crust.
However, the rate of temperature increase with depth is not as steep as the rate of pressure increase, so the temperature will decrease as the depth increases.
The geothermal gradient is the pace at which Earth's temperature increases with depth. It suggests that the Earth's surface is receiving heat from the planet's heated center. For every kilometer of depth, the temperature rises by around 25°C on average.
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What are 5 kinetic and potential energy examples?.
Following are some examples of both kinetic energy and potential energy:
Kinetic energy:
The movement of stars in the galaxyConstantly moving water in oceans and rivers A person walkingA charged particle in an electric field A crumb falling from a tablePotential energy:
A rock placed on the edge of a cliffA roller coasterA kid at the top of a slideA yoyo before it is releasedA raised weightPotential energy is the type of energy that is stationary, where stored energy is realesed; while kinetic energy is the type of energy that possesses in objected during their motion, where energy for movement is used actively.
Every moving object and particle involves kinetic energy. An object and particle at rest have zero kinetic energy. Because kinetic energy reflects the form of energy which is exhibited by the objects when they are in motion. On the other hand, the potential energy of an object is signified in its position, not its motion. It refers to the energy of position.
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What is the unit and dimensional formula of torque?.
Force times distance, or T²L²M, is the dimension of torque. The official SI literature advises that use the unit newton-metre (Nm) and never the joule, despite the fact that these fundamental dimensions are identical to those used for energy or work. The appropriate abbreviation for the newton metre is Nm.
Which are the two torque equations?The formula for torque is T = F × r × sinθ. Torque is, in other words, the cross product of the shortest path (the distance between the pivot point and the point at which forces are applied) as well as the force vector, where 'a' is the angle of r and F.
How can I figure out torque?Between the pivot and the location where the force is delivered, measure the distance, r. Calculate the angle between the vector connecting the force's application point and the pivot point and the vector of the applied force. You may calculate the torque by multiplying r by F plus sin.
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Define the relationship between the ECG and the pulse wave. Explain why the timing of the QRS complex in the ECG and the maximum height of the pulse do not coincide
The ECG (electrocardiogram) records electrical activity within the heart, while the pulse wave records the physical pressure of the heart’s contractions.
The timing of the QRS complex in the ECG and the maximum height of the pulse do not coincide because the electrical impulse from the heart arrives at the body's surface before the physical pressure of the heart's contraction is felt.
The electrical impulse reaches the surface of the body faster than the physical pressure, causing a discrepancy between the two signals. In addition, the electrical impulse is usually larger than the physical pressure, which results in the QRS complex in the ECG having a higher peak than the pulse wave.
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What is the weight of a 10 kg object gravity 9. 8 m/s s?.
The weight of a 10 kg object gravity 9. 8 m/s² is 98 N.
What is weight?The gravitational force that pulls objects towards the centre of the Earth is known as weight. The subsequent force that a mass is drawn to Earth has something to do with gravity. So unlike gravitational force, which occurs between any two masses, this only occurs between Earth and a mass.
When two objects are in close proximity to one another, their gravitational pull is determined by their respective masses and the inverse square of their respective distances. The forces between larger objects are stronger, and the attraction between smaller objects is weaker as they are further apart. A single weight equation developed by Newton can capture the relationship.
We know that force
F = ma
F = force
m = mass of an object
a = acceleration
Here,
a = g = 9.8 m/s²
m = 10 kg
Then
Force, F = 10 × 9.8
= 98 N
Thus, the weight of a 10 kg object gravity 9. 8 m/s² is 98 N.
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a small bullet is fired into a large piece of wood. after the bullet penetrates the wood, the assembly moves as one unit along a low-friction track in the direction of travel of the bullet.
1) After the bullet is stuck in the piece of wood, is the momentum of the wood (not including the bullet; assuming the piece of wood was initially at rest) greater than, equal to, or less than the initial momentum of the bullet?
Choose from:
a)The momentum of the wood is greater than the initial momentum of the bullet
b) The momentum of the wood is greater than the initial momentum of the bullet.
c)The momentum of the wood is less than the initial momentum of the bullet
Following the bullet's passage through the wood, the entire assembly moves in the same direction as the bullet along a low-friction track gravitation
What does a bullet's kinetic energy consist of?The kinetic energy a bullet has when it leaves a gun's muzzle is known as muzzle energy. Muzzle power is used as a crude indicator of the destructive power of a certain rifle or cartridge, ignoring elements like aerodynamics or gravitation for the purposes of comparison.
What is the term for when a bullet returns?The term "ricochet" (/rke/ RIK-shay; French: [ik]) refers to a rebounding, bounce, or skip from a surface, especially in the situation of.
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helpppp plss
Object A has a momentum of +20 kg m/s, and object B has a momentum of -6 kg m/s. The two objects collide. After the collision, object A has a momentum of -4 kg m/s. What is the momentum of object B after the collision?
The final momentum of the object B is obtained as 18 Kg m/s.
What is the momentum?We have to note that the momentum of the object would be the product of the mass and the velocity of of the object. The direction of the momentum is the direction of the velocity of the object.
Then we have that;
Momentum after collision = Momentum before collision and this would imply that;
20 + (-6) = (-4) + X
X = momentum of object B
X = 14 + 4
X = 18 Kg m/s
Hence, we have used the principle of the conservation of the linear momentum here.
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a stone is thrown straight downward with a speed of 20 m/s from the top of a tall building. if the stone strikes the ground 3.0 s later, about how tall is the building? assume air resistance is negligible.
According to the problem the building is approximately 59 meters tall.
What is building?Building is the process of constructing a structure from individual components. It involves the planning, design, and construction of a structure with the use of materials such as wood, metal, concrete, and other materials. Building involves working with architects to ensure that the design meets all local building codes and regulations. Once approved, the project is ready to begin.
The height of the building can be calculated using the equation:
h = vt + 1/2gt²
where h is height of the building, v is initial velocity, t is time, and g is acceleration due to gravity.
In this case, v = 20 m/s, t = 3.0 s, and g = 9.8 m/s².
Plugging these values into the equation gives us:
h = 20(3) + 1/2 (9.8)(3)² = 59 m
Therefore, the building is approximately 59 meters tall.
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What is the volume flow rate of blood that moves at 0.20 m/s through an artery with a diameter of 1.0 × 10–2 m?
Volume flow rate is the product of blood speed artery with a diameter and cross-sectional area: (0.20m/s)(pi/4) (1x10^-2m)^2 = 5 (pi) x 10^-6 m^3/s.
Meaning of diametera straight line passing through the center of a spherical form or item and ending at one of its edges: Radius is divided by two to get the diameter. A six-foot radius surrounds the pond.
Circumference and diameter are what?The distance a circle travels in one full "lap" is called its circumference, and the distance a circle travels in one half is called its diameter. Consider the diameter as the inside of the circle, and the circumference as the exterior measurement.
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How can we find the direction of vector?.
To find the direction of the vector v⃗ = (x, y) , use the formula θ = arctan(y/x) , where θ is the smallest angle the vector forms with the horizontal axis, and x and y are the components of the resultant vector
Vector definitionA vector is a quantity that has both magnitude and direction and is described by a set of directed line segments. Examples of vector quantities are distance, velocity, acceleration, momentum, impulse, and so on.
Geometrically, a vector is described by a directed line segment, where the arrow indicates the direction of the vector, while the length of the line represents the magnitude or value of the vector. Vectors can be denoted by lowercase letters with an arrow above them or bold lowercase letters (a, b, c, and so on).
Vector PropertiesAfter knowing the definition of a vector, here are some vector properties that you need to know, namely:
1. Can be moved provided that the value/magnitude and direction do not change.
2. Can be summed up.
3. Deductible.
4. Can be deciphered.
5. Can be multiplied.
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What is the SI unit of momentum Mcq?.
The SI unit of momentum is kilogram meters per second (kg*m/s).
This unit of measurement is used to express the momentum of an object in the International System of Units (SI). The kilogram is the base unit of mass in the SI and the meter per second (m/s) is the base unit of velocity in the SI. When we multiply the two, we get the unit of momentum. It is a vector quantity having both magnitude and direction. Momentum is an important concept in physics and it is used to describe the motion of objects, from subatomic particles to galaxies. The principle of conservation of momentum is widely used in physics, particularly in fields such as mechanics, thermodynamics, and quantum mechanics.
Momentum is a measure of an object's motion. Momentum is the product of an object's mass and velocity, and is represented by the symbol "p." In physics, momentum is considered to be a vector quantity, meaning it has both magnitude and direction.
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