Could you add two vectors and have the sum be smaller in magnitude than one of the vectors?

Also, why is it either yes or no?

The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.

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Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.

First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.

The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.

This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.

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Answer:bdsh c

Explanation:

The best choice is A. The formula that can be used to calculate the acceleration is a= dv/t

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The observation that electromagnetic radiation with energy above a certain value can eject electrons out of a metal is a piece of evidence that they have particle-like properties.

The observation that electromagnetic radiation with energy above a certain value can eject electrons out of a metal is a piece of evidence that they have particle-like properties.

This observation that electromagnetic radiation behaves like particles is known as the photoelectric effect.

It provides evidence that electromagnetic radiation exhibits particle-like properties. When EMR with sufficient energy (above a certain threshold) interacts with a metal surface, it can cause the ejection of electrons from the metal.

This behavior indicates that EMR behaves as discrete packets of energy called photons, which transfer their energy to the electrons and cause their release. The photoelectric effect supports the particle nature of EMR and is a fundamental concept in the field of quantum mechanics.

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Note that the images representing the properties of a wave are matched in the attached image.

There are several wave properties, including:

Resonance is a wave property that occurs when an external force matches the natural frequency of vibration of a system, resulting in increased amplitude.

Amplitude: The amplitude of a wave is the maximum displacement or distance that the wave moves from its resting position. It is a measure of the intensity or strength of the wave.

Frequency: The frequency of a wave is the number of complete cycles or oscillations that the wave completes in a given time, usually measured in Hertz (Hz).

Wavelength: The wavelength of a wave is the distance between two consecutive points on the wave that are in phase, such as two consecutive crests or troughs. It is usually denoted by the symbol lambda (λ).

Period: The period of a wave is the time taken for one complete cycle or oscillation of the wave. It is the reciprocal of the frequency and is usually denoted by the symbol T.

Velocity: The velocity of a wave is the speed at which the wave travels through a medium. It is usually calculated by dividing the wavelength by the period or by multiplying the wavelength by the frequency.

Phase: The phase of a wave refers to the position of the wave at a given point in time, usually measured in degrees or radians. It determines the position of the wave relative to a fixed reference point.

Understanding these properties is essential for describing and analyzing waves in various contexts, including physics, engineering, and communication.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Match image on the cards to correct wave property:

Answer:

Answer:

15.67 seconds

Explanation:

Using first equation of Motion

Final Velocity= Initial Velocity + (Acceleration * Time)  

v= u + at

v=3

u=50

a= - 4 (negative acceleration or deceleration)  

3= 50 +( -4 * t)

-47/-4 = t

Time = 15.67 seconds

We have that the speed  must be at the speed below if they want to just hit their target

From the Question we are told that

Distance \(d=50m\)

Height \(h=70m\)

Constant Velocity \(v= 7.0 m/s\)

Generally the equation for the time  is mathematically given as

\(T=\frac{h}{v}\\\\T=\frac{70}{7}\\\\T=10s\)

Therefore

The velocity required to make horizontal movement is

\(V=\frac{d}{T}\\\\V=\frac{50}{10}\\\\V=5m/s\)

Given that

Velocity on the Vertical axis is

\(v_y=7m/s\)

Velocity on the  horizontal axis is

\(v_x=5m/s\)

Therefore resultant speed

\(v_r=\sqrt{v_x^2+V_y^2}\\\\v_r=\sqrt{(5)^2+(7)^2}\)

\(v_r=8.6023m/s\)

In conclusion

\(v_r=8.6023m/s\) must be their total speed if they want to just hit their target

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A scale which reads 0 in the vacuum of space is placed on the surface of planet Physica. On the planet's surface, the scale indicates a force of 10,000 Newtons. The surface area of the scale is 0.125 square meters.

To calculate the surface area of the scale, we can use the formula:

P = F/A

where P is the pressure, F is the force, and A is the surface area.

Given that the atmospheric pressure on the surface of Physica is 80,000 Pascals and the scale indicates a force of 10,000 Newtons, we can plug in these values into the equation:

80,000 Pa = 10,000 N / A

To solve for A, we can rearrange the equation:

A = 10,000 N / 80,000 Pa

A = 0.125 m²

In summary, based on the given information, the surface area of the scale on the surface of planet Physica is calculated to be 0.125 square meters.

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Normal force is the force exerted when an object is on an surface. So an example could be a pile of books on top of a table.

The value of the inductance, in , microhenrys of Tarik's solenoid is approximately 1.6239 microhenrys.

To calculate the inductance of a solenoid, we can use the formula:

L = (μ₀ * N² * A) / l

where L is the inductance, μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A), N is the number of turns, A is the cross-sectional area of the solenoid, and l is the length of the solenoid.

In this case, we have:

N = 175 turns

Diameter = 8.05 mm = 0.00805 m (converted to meters)

Radius = Diameter / 2 = 0.00805 m / 2 = 0.004025 m

Length (l) = 2.37 cm = 0.0237 m (converted to meters)

First, let's find the cross-sectional area (A) using the formula for the area of a circle:

A = π * r² = π * (0.004025 m)² ≈ 5.08398 × 10⁻⁵ m²

Now we can plug in the values into the formula for inductance:

L = (4π × 10⁻⁷ T·m/A * (175)² * 5.08398 × 10⁻⁵ m²) / 0.0237 m

L ≈ (1.2566 × 10⁻⁶ * 30625 * 5.08398 × 10⁻⁵) / 0.0237

L ≈ (38.5086 × 10⁻⁶) / 0.0237

L ≈ 1.6239 × 10⁻⁶ H

Now, let's convert the inductance from henrys to microhenrys:

L ≈ 1.6239 × 10⁻⁶ H * 10⁶ μH/H ≈ 1.6239 μH

So the inductance of Tarik's solenoid is approximately 1.6239 microhenrys.

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Answer: the moderator slows the neutrons down, while the control rods absorb the neutrons.

Explanation:

The magnetic pressure modifications capacity power into kinetic power. Dylan places magnetic toy trains subsequent to each other on a track.

When magnets have appealing forces among them and they're moved apart, kinetic power is transferred into the magnets whilst they're released and they pass lower back together. converting the space between magnets changes the amount of strength that can be transferred into and out of a magnetic area.

A charged shifting particle is a particle in movement with either a positive or terrible price. Magnetic pressure has a good-sized impact on charged debris. A robust magnetic pressure can alter the route of a transferring charged particle. A big object with a magnetic force encourages particles to revolve around it.

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The magnetic force changes potential energy into kinetic energy.

Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current. Electricity generators essentially convert kinetic energy into electrical energy.

All magnets have north and south poles. Contrary poles are interested in every different, while the same poles repel every different. While you rub a chunk of iron alongside a magnet, the north-seeking poles of the atoms inside the iron line up inside the same direction. The force generated via the aligned atoms creates a magnetic subject.

When  magnets are brought close collectively they exert a pressure on each different, like poles repel every different.  Unlike poles attract each different. Appeal and repulsion between two magnetic poles are examples of non-touch force.

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The masses of the two objects MA and MB in the binary system are 4 Mo respectively.

The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.

Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:

MA + MB = 8 Mo

We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:

d(A to B) / d(Binary System) = 1/3

We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:

d(A to B) + d(B to binary system) = d(Binary system)

Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):

d(A to B) + 1/3d = d(Binary system)

3d(A to B) + d = 3d(Binary system)

Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:

3d(A to B) + d = 3(d(A to B) + d(B to binary system))

2d(A to B) = 2d(B to binary system)

d(A to B) / d(B to binary system) = 1

So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:

MA = MB

Substituting this into the first equation, we get:

2MA = 8 Mo

MA = MB = 4 Mo

Therefore, the mass of each object is 4 Mo.

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Mesopotamia, with its key features of specialization, government, cities, religion, trade, and written records, advanced human society by fostering economic growth, establishing governance structures, creating urban centers, facilitating cultural exchange, promoting trade networks, and revolutionizing communication and knowledge preservation through writing.

Mesopotamia, often referred to as the "cradle of civilization," possessed several key features that contributed to its advancement and influenced human society as a whole. These features include specialization, government, cities, religion, trade, and written records. Let's explore each of these key features and their significance.

Specialization: Mesopotamian society developed specialization, where individuals began to focus on specific occupations and trades. This led to the emergence of skilled craftsmen, farmers, priests, scribes, and merchants. Specialization allowed for the production of surplus goods, leading to economic growth and the establishment of a more complex society.

Government: Mesopotamia witnessed the development of early forms of government. Initially, city-states were governed by religious leaders known as priest-kings. Over time, as society grew more complex, secular leaders, such as kings, emerged to rule the city-states. These early forms of governance laid the foundation for later systems of government and administration.

Cities: Mesopotamia was characterized by the rise of urban centers. These cities served as political, economic, and cultural hubs. They were densely populated, with advanced infrastructure, including defensive walls, temples, markets, and residential areas. The cities of Mesopotamia, such as Ur, Uruk, and Babylon, provided the framework for the organization and development of early urban societies.

Religion: Religion played a central role in Mesopotamian society. The people of Mesopotamia believed in a pantheon of gods and goddesses and practiced polytheism. Temples were constructed as sacred spaces to honor and worship deities. Priests held significant influence, serving as intermediaries between the people and the divine. Religious beliefs and rituals provided a sense of identity, social cohesion, and moral guidance to the Mesopotamian community.

Trade: Mesopotamia's strategic location between major rivers, the Tigris and Euphrates, facilitated extensive trade networks. The abundance of resources, such as fertile land for agriculture, allowed for surplus production. This surplus was exchanged with neighboring regions, fostering trade and the establishment of commercial relationships. The exchange of goods and ideas through trade networks promoted cultural diffusion and contributed to the overall prosperity and interconnectedness of Mesopotamia.

Written Records: Mesopotamia is credited with the invention of writing, making it one of the earliest literate civilizations. Scribes used wedge-shaped marks known as cuneiform to record important information on clay tablets. The development of writing enabled the recording of laws, contracts, administrative documents, literature, and historical accounts. Written records not only facilitated communication and administration but also served as a means of preserving knowledge and passing it down through generations.

Collectively, these key features of Mesopotamia played a pivotal role in advancing human society as a whole. Specialization allowed for the efficient allocation of resources and the growth of economies. The establishment of early forms of government provided organization and stability to communities. Urbanization transformed social structures and fostered cultural and intellectual exchange. Religion served as a unifying force and provided a moral framework. Trade networks expanded horizons and facilitated the exchange of goods and ideas. Finally, the invention of writing revolutionized communication, education, and the preservation of knowledge.

Therefore, Mesopotamia's legacy as a cradle of civilization lies in its ability to establish foundations for complex societies, laying the groundwork for subsequent advancements in various aspects of human life.

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The weight of the rover vehicle on Earth, given that it weighs 37 N on Mars is 99.5 N

We'll begin by obtaining the mass of the rover vehicle. This is shown below:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Divide both sides by g

m = W /g

m = 37 / 3.72

m = 9.95 Kg

Now, we shall determin the weight of the rover vehicle on Earth. Details below:

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 9.95 × 10

Weight = 99.5 N

Thus, we can conclude that the weight on Erath is 99.5 N

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Answer:

M = V ρ = .03 * .2*2 cm^3 * 2.75 g / cm^3 = .0033 kg     weight

W = m g = .0033 kg * 9.80 m / s^2 = .032 N

P = F / A = W / A = .032 N / .2^2 m^2 = .80 N/m^2 = .80 Pascal

The boat must have moved, despite not being seen to move, because its relative position to the dock has changed. This phenomenon is known as relative motion .

Everything is always in motion, but the way we perceive it depends on our frame of reference.

In this scenario, the dock was the frame of reference for the initial position of the boat. When the boat moved to the cove, its position relative to the dock changed, and the dock was no longer an appropriate frame of reference. The boat's motion is now relative to the cove instead.

It is important to note that relative motion depends on the chosen frame of reference. If we were to choose the boat as the frame of reference, then it would be the dock that appears to move, not the boat. This is because motion is always relative to a chosen frame of reference.

In conclusion, the boat must have moved because its position relative to the dock changed. The concept of relative motion reminds us that motion is always relative to a chosen frame of reference, and that the way we perceive motion depends on our chosen frame of reference.

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In the study of personality, the Five-factor model includes different traits that underlie one’s basic tendencies.

The Five-factor model is a scientific theory that states traits of the personality of an individual are due to its biology and therefore they respond to adaptations, which are central in the biology field.

In conclusion, in the study of personality, the Five-factor model includes different traits that underlie one’s basic tendencies.

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The acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².

Given the data in the question

Since the car was initially at rest

Acceleration of the car; \(a = \ ?\)

Using the First Equation of Motion:

\(v = u + at\)

Where u is the initial velocity, v is the final velocity, a is the acceleration and t is the time taken.

We substitute our given values into the equation and solve for "a"

\(10m/s = 0m/s\ +\ ( a * 2s ) \\\\10m/s = a * 2s\\\\a = \frac{10m/s}{2s}\\\\a = 5m/s^2\)

Therefore, the acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².

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Answer:

C. the help our understanding of the formation of planetary bodies.

Explanation:

this is the answer of PLATO

We divide the total distance travelled by the period of time to determine the average speed. By dividing the displacement by the time interval, we can determine the average velocity.

Average speed was measured by dividing the overall distances you travelled by the total time, whereas average velocity is determined by dividing your movement (a vectors pointing from the initial position toward your end position) by the whole time.

For instance, someone travelling at an average speed over 40 miles split by 10 mins, meaning 1 mile per minute, is travelling twenty miles to the north and afterwards 20 miles south (60 mph).

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Answer:Electric Current!

Explanation: Electric current ;)

Answer:

\(0.000835\ \text{m}\)

Explanation:

d = Distance between plates = 2 mm

V = Potential difference = 500 V

v = Velocity of proton = \(2\times 10^5\ \text{m/s}\)

a = Acceleration

m = Mass of proton = \(1.67\times 10^{-27}\ \text{kg}\)

Electric field is given by

\(E=\dfrac{V}{d}\\\Rightarrow E=\dfrac{500}{2\times 10^{-3}}\\\Rightarrow E=250000\ \text{V/m}\)

Force balance is given by

\(ma=qE\\\Rightarrow a=\dfrac{qE}{m}\\\Rightarrow a=\dfrac{1.6\times 10^{-19}\times 250000}{1.67\times 10^{-27}}\\\Rightarrow a=2.395\times 10^{13}\ \text{m/s}^2\)

We have the relation

\(v^2=u^2+2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{(2\times 10^5)^2-0}{2\times 2.395\times 10^{13}}\\\Rightarrow s=0.000835\ \text{m}\)

The farthest distance from the negative plate that the proton reaches is \(0.000835\ \text{m}\).

The farthest distance from the negative plate that the proton reaches will be s=0.000835 m

The electric field is defined as the force across the charged particles which attract or repel the other charged particles.

Now it is given in the question that

d = Distance between plates = 2 mm

V = Potential difference = 500 V

v = Velocity of proton =   \(2\times 10^5\ \dfrac{m}{s}\)

a = Acceleration

m = Mass of proton = \(1.67\times10^{-27} kg\)

The Electric field will be calculated as

\(E=\dfrac{V}{d}\)

\(E=\dfrac{500}{2\times10^{-3}} =250000\ \frac{V}{m}\)

Force balance is given by

\(ma=qe\)

\(a=\dfrac{qE}{m}\)

\(a=\dfrac{1.6\times10^{-19}\times250000}{1.67\times10^{-27}}\)

\(a=2.395\times 10^{13}\frac{m}{s^2}\)

Now from equation of motion

\(v^2=u^2+2as\)

\(s=\dfrac{v^2-u^2}{2a}\)

\(s=\dfrac{(2\times10^5)^2-0}{2\times 2.395\times 10^{13}}\)

\(s=0.000875 m\)

Thus the farthest distance from the negative plate that the proton reaches will be s=0.000835 m

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Answer:

compound

Explanation:

a substance made from two or more different elements that have been chemically joined. Examples of compounds include water (H2O), which is made from the elements hydrogen and oxygen, and table salt (NaCl), which is made from the elements sodium and chloride.

Answer:

Explanation:

temperature is a scalar quantity

In order to calculate the angular acceleration, we can use the following formula:

Where vf is the final angular speed, vi is the initial angular speed and t is the interval of time.

Since the speed is in rev/min, we need to convert to rad/s.

Knowing that 1 rev = 2π rad and 1 min = 60 s, we have:

Now, using vf = 1.152, vi = 3.456 and t = 2, we have:

So the angular acceleration is -1.152 rad/s².

The kinetic energy of the merry-go-round after about 3.59 seconds will be 847.72 J.

Kinetic energy is the energy an object because of its motion. If we want to accelerate an object, then we must apply force of some magnitude. Applying a force which requires us to do work. After work has been done on that object, energy has been transferred to the object, and the object will be moving with a new constant speed. Kinetic energy is a vector quantity due to the presence of both magnitude and direction.

Fg = 645 N, F = 61.8 N, r = 1.7m and t = 3.59 sec

Now, Mass of disc, m= Fg/g =645/ 9.8 = 65.81kg

Moment of Inertia is given by,

I = 1/2 mr²

I = 1/2 (65.81) (1.7)²

I = 1/2 (65.81) (2.89)

I = 1/2 (190.19)

I = 95.09 kg m²

Now, T= Fh r = 65.81 × 1.7 = 111.87Nm

Therefore, α = τ/ I = 111.87/ 95.09 = 1.1764 rad/ sec²

Angular velocity, ω = αt = 1.1764 × 3.59

ω = 4.223 rad/sec

Therefore, Kinetic Energy = 1/2Iω²

KE = 1/2 (95.09)(4.223)²

KE = 1/2 (95.09) (17.83)

KE = 1/2(1695.45)

KE = 847.72 J

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The ions are;

S^2- Gained 2 electrons

Li^+ - Lost one electron

Al^3+ - Lost 3 electrons

Cl^- gained one electron

Sr^2+ Lost two electrons

P^3- gained 3 electrons

As an atom or molecule acquires or loses one or more electrons, ions are created. Protons and neutrons make up the positively charged nucleus of an atom, which is encircled by negatively charged electrons. An atom typically has a neutral charge because the amount of electrons and protons in it equals one.

The balance between the negatively charged electrons and positively charged protons is upset when an atom receives or loses an electron, creating an ion with a positive or negative charge.

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