Can anyone tell me what are vectors in physic and how can I solve them?​

To find the number of antinodes in the standing wave pattern, we need to find the wavelength of the fifth harmonic. The fifth harmonic has a frequency of 5 times the fundamental frequency, and the fundamental frequency is equal to the speed of sound divided by the length of the pipe. Thus, the wavelength of the fifth harmonic is the speed of sound divided by 5 times the fundamental frequency, which is equal to 340 m/s / (5 * (340 m/s / 1.5 m)) = 0.3 m.

Since the length of the pipe is 1.5 m, and the wavelength is 0.3 m, there will be 1.5 m / 0.3 m = 5 full wavelengths in the pipe. Since there is an antinode at both ends of the pipe, there will be a total of 5 + 2 = 7 antinodes in the standing wave pattern. Therefore, the correct answer is (C) 7.

The velocity vector is r'(t) = (4, -3 sin t, 3 cos t), the acceleration vector is r''(t) = (0, -3 cos t, -3 sin t), the curvature is κ = 3 / 14^(3/2), and the tangential and normal components of the acceleration are aT = 0 and aN = 3.

Space Curves: Arc lengthArc length formula is given by \(L = ∫a b |r'(t)|dt\)

, where r(t) is the vector function for the given curve.

Let's find the arc length of the given space curve:

r(t) = (2t, t^2 - 2, 5 - t^2) for 0 ≤ t ≤ 4.

The speed of r(t) is |r'(t)|.r'(t) = (2, 2t, -2t) and

||r'(t)|| = √(2^2 + (2t)^2 + (-2t)^2)

= 2√2t.So,

the arc length of the space curve is

L = ∫0 4 2√2t dt

= (4/3)√2 [t^(3/2)] from 0 to 4

= (4/3)√2 (4√2 - 0)= (16/3) * 2

= 32/3.

Therefore, the length of the given space curve with vector equation is 32/3. Vector Functions for the intersection of two surfaces

The equation for the given surface is \(F(x)=(2,x²-30).\)

Let's find the vector functions for the intersection of two surfaces.

To find the intersection, we equate the two given equations:2 = y = x².

We get y = x² = 2. So, x = ±√2.

The vector functions for the intersection of two surfaces are:

r1(t) = (t, 2, t^2 - 30)

for x = √2 and r2(t)

= (-t, 2, t^2 - 30)

for x = -√2.

Given TNB for a space curveLet's find the unit tangent vector to the space curve r(t) = (cos t, sin t, t).

The velocity vector is r'(t) = (-sin t, cos t, 1).

The speed of the curve is |r'(t)| = √(sin² t + cos² t + 1) = √2.

The unit tangent vector is T = r'(t) / |r'(t)| = (-sin t/√2, cos t/√2, 1/√2).

Now, let's find a unit normal vector to the space curve.The acceleration vector is r''(t) = (-cos t, -sin t, 0).

The magnitude of acceleration is |r''(t)| = 1.

The unit normal vector is N = r''(t) / |r''(t)| = (-cos t, -sin t, 0).The binormal vector is given by B = T × N.

Therefore, the unit tangent vector to the space curve r(t) = (cos t, sin t, t) is T = (-sin t/√2, cos t/√2, 1/√2),

the unit normal vector is N = (-cos t, -sin t, 0),

and the unit binormal vector is

B = (cos t/√2, -sin t/√2, 1/√2) × (-cos t, -sin t, 0)

= (sin t/√2, -cos t/√2, 1/√2).

Velocity, acceleration and curvature

Let's find the velocity vector, the acceleration vector, and the curvature of the space curve r(t) = (4t, 3 cos t, 3 sin t) for 0 ≤ t ≤ 27.

The velocity vector is r'(t) = (4, -3 sin t, 3 cos t).

The speed of the curve is |r'(t)| = √(16 + 9 sin² t + 9 cos² t) = 5.

The unit tangent vector is T = r'(t) / |r'(t)| = (4/5, -3 sin t/5, 3 cos t/5).

The acceleration vector is r''(t) = (0, -3 cos t, -3 sin t).

The magnitude of acceleration is |r''(t)| = 3.

The tangential component of acceleration is aT = T · r''(t) = 0.

The normal component of acceleration is aN = |r''(t)| · |N| = 3.

The unit normal vector is N = (-cos t, -sin t, 0).

The curvature is κ = |r''(t)| / |r'(t)|² = 3 / (25 + 9 sin² t + 9 cos² t)^(3/2) = 3 / (25 + 9)^(3/2) = 3 / 14^(3/2).

Therefore, the velocity vector is r'(t) = (4, -3 sin t, 3 cos t),

the acceleration vector is r''(t) = (0, -3 cos t, -3 sin t),

the curvature is κ = 3 / 14^(3/2), and the tangential and normal components of the acceleration are aT = 0 and aN = 3.

To learn more about velocity visit;

https://brainly.com/question/30559316

#SPJ11

Given that the elevation of Lake Havasu is 400 feet and Lake Tahoe is 6200 feet, we need to determine which lake has a lower concentration of oxygen gas.

Higher elevation generally corresponds to lower atmospheric pressure, which affects the availability of oxygen. Therefore, Lake Havasu, located at a lower elevation, is likely to have a higher concentration of oxygen gas compared to Lake Tahoe.

The concentration of oxygen gas in water is influenced by several factors, including atmospheric pressure and temperature. As elevation increases, atmospheric pressure decreases. Lower atmospheric pressure at higher elevations results in less oxygen dissolved in water compared to lower elevations.

Lake Tahoe, situated at an elevation of 6200 feet, experiences lower atmospheric pressure compared to Lake Havasu, which is at 400 feet. Therefore, Lake Havasu is expected to have a higher concentration of oxygen gas in its water compared to Lake Tahoe.

It's important to note that factors such as temperature, circulation patterns, and biological processes also influence oxygen concentration in lakes. However, given the same water temperatures, the difference in elevation between the two lakes suggests that Lake Havasu would likely have a relatively higher concentration of oxygen gas.

To learn more about elevation click here:

brainly.com/question/30358594

#SPJ11

The speed of a ball that is thrown upward into the air, neglecting air resistance, changes over time due to the force of gravity. The ball's velocity decreases as it rises, reaches zero at the peak of its trajectory, and then increases as it falls back towards the ground.

The motion of an object under the influence of gravity can be described by the laws of physics. When a ball is thrown upward into the air, it initially moves with a certain velocity. However, as the ball rises, its velocity changes due to the force of gravity acting on it. In this answer, we will neglect the effect of air resistance and focus solely on the effect of gravity.

When a ball is thrown upward, it has an initial velocity, which is equal to the magnitude of the velocity with which it was thrown. This velocity is positive, meaning that it points in the upward direction. However, as the ball rises, it is slowed down by the force of gravity, which acts in the downward direction. As a result, the velocity of the ball decreases over time.

The acceleration due to gravity, g, is a constant 9.8 m/s^2, and it acts in the downward direction. The equation for velocity, v, as a function of time, t, can be expressed as v = v0 - gt, where v0 is the initial velocity. This equation shows that the velocity of the ball decreases linearly with time as it rises into the air.

At the peak of its trajectory, the ball has zero velocity. This means that it is momentarily at rest, and from this point on, it begins to fall back towards the ground. The velocity of the ball at this point is negative, meaning that it points in the downward direction. As the ball falls, its velocity increases due to the force of gravity, and it continues to increase until it reaches the ground.

Here you can learn more about the force of gravity

https://brainly.com/question/13634821#

#SPJ11

The potential difference between xi=20cmxi=20cm and xf=40cmxf=40cm in the uniform electric field ex=3000v/mex=3000v/m is 60V.

What is the electric field?

The electric field is a field that has an effect on electrically charged objects within the field. When electrically charged particles interact with the electric field, they experience a force. The force is proportional to the electric charge on the particle and the electric field strength.

What is the potential difference?

The potential difference is the difference in electric potential between two points in an electric field. The electric potential difference is calculated by subtracting the electric potential at the initial point from the electric potential at the final point. Mathematically, it is represented as ΔV = Vf - Vi.

Given that the electric field ex = 3000V/m.

The potential difference between xi = 20cm and xf = 40cm can be calculated as follows:

Given that xf = 40cm and xi = 20cm, the Potential difference, ΔV = Vf - Vi.

The potential difference can be calculated as ΔV = ExΔxΔV = 3000V/m (40cm - 20cm)ΔV = 3000V/m (0.2m)ΔV = 600VTherefore, the potential difference between xi = 20cm and xf = 40cm in the uniform electric field ex = 3000V/m is 60V.

To know more potential differences, visit:

https://brainly.com/question/12198573

#SPJ11

Answer:

(B) Conduction

Explanation:

Answer:

a ) conduction

Explanation:

it's a because if u think about it a conductor keeps the heat from getting to a certain part of the metal

Two metric units that is used during the measurement activity to represent volume are m³ ( Cubic meter ) and L ( Litre )

Volume is the space occupied in a three dimensional space. The unit of volume is expressed in length cubed. Litre is used a measure of volume in terms of liquids. 1 litre = 1000 cm³.

Volume is used in different formulas such as:

Therefore, two metric units that is used to represent volume are m³ ( Cubic meter ) and L ( Litre )

To know more about Volume

https://brainly.com/question/22907480

#SPJ1

Out of the given options, only "Blown car tire" would be considered an emergency fund expense.

An emergency fund expense is an unforeseen and urgent cost that requires immediate attention and cannot be easily covered by one's regular income or savings.

Examples of emergency fund expenses may include unexpected car repairs, medical bills, or sudden job loss. The purpose of an emergency fund is to provide a financial cushion that can help cover these types of expenses, allowing individuals to manage unexpected financial shocks without having to resort to high-interest debt or deplete their long-term savings.

Learn more about emergency fund expense, here:

https://brainly.com/question/30662508

#SPJ1

(a) The equilibrium separation of the two tiny conducting balls can be found by equating the gravitational force and the electrostatic force.

The gravitational force is given by mg, while the electrostatic force is given by (q^2)/(4πεo l^2). Setting these two forces equal and solving for l gives us:

x = (q^2)/(4πεo mg)

(b) The equilibrium separation x of the two balls is directly proportional to the square of the charge q and inversely proportional to the gravitational force mg.

Electrical force is the attractive or repulsive force between two objects that are electrically charged. It is a type of Coulomb force, which is the force between two objects with a charge.

The electrical force between two objects is determined by the product of their charges and the inverse square of the distance between them. The magnitude of the electrical force is given by the following equation:

F = (Kq1q2)/(r^2)

Learn more about conducting balls:

https://brainly.com/question/29181333

#SPJ4

A comet speeds up as it approaches the Sun. Which statement about its kinetic energy is correct option is - (1) The comet has no kinetic energy because it is in outer space.

To know more about comet

https://brainly.com/question/8705662

#SPJ1

Answer:

Factors that Affect Kinetic Energy Quick Check

Explanation:

1. KE=1/2mv^2

2.The comet’s kinetic energy increases.

3. 3,388 J

4. The wagon will have more kinetic energy than when it was empty.

5. Find two objects with the same mass and think of a way to demonstrate their kinetic energies at different velocities.

A cyclist starts pedalling his bicycle from rest and achieves an angular speed of 5 revolutions in 8 seconds. Afterwards, he stops pedalling and lets the bicycle move slowly before coming to a complete stop in 12 seconds. The wheels complete approximately 8.75 revolutions in total during the entire motion.

To determine the total number of revolutions of the wheels, we need to consider both periods: acceleration and deceleration.
During the acceleration phase (0 to 8 seconds), the cyclist completes 5 revolutions. Now we need to calculate the number of revolutions during the deceleration phase (8 to 20 seconds).
Assuming uniform deceleration, the angular speed decreases linearly from 5 revolutions in 8 seconds to 0 revolutions in 12 seconds. The average angular speed during the deceleration phase can be calculated as (5 + 0) / 2 = 2.5 revolutions per 8 seconds.
Now, to find the number of revolutions in the 12-second deceleration period, we can use the proportion:
2.5 revolutions / 8 seconds = x revolutions / 12 seconds
Solving for x, we get:
x = (2.5 * 12) / 8 = 3.75 revolutions
Adding the revolutions during both phases, we get the total number of revolutions of the wheels:
5 revolutions (acceleration) + 3.75 revolutions (deceleration) = 8.75 revolutions

To learn more about angular speed, refer:-

https://brainly.com/question/31642620

#SPJ11

A large volume of air that takes the characteristics in which it forms is known as an air mass.

Air masses are formed when a large volume of air is stationary over a specific area for a long time where it takes on the characteristics of the area, such as temperature, humidity, and pressure.

Example: if an air mass forms over a warm, humid region, it will become warm and humid.

Volume is the space an object tskes to fit in.

Temperature is the degree of hotness or coldness of a body.

The moisture content in the air is called humidity.

The force applied per unit area is known as pressur

To learn more about air mass, visit:

brainly.com/question/13150249

#SPJ4

The orbital radius of the second satellite is 1.31r1.

What is the orbital radius ?

The average separation of a planet from the sun is known as orbital radius. Given that it has a significant impact on planetary temperature, this is one of the most crucial factors in evaluating a planet's ability to support life. The distance between a planet's center and surface is known as the planetary radius.

Time period of a satellite in circular orbit of radius 'r' is

\(T^2\alpha r^3\)

T= time period

\(T1^2/T2^2=r1^3/r2^3\\T2=1.5T1=3/2T1\)

\((T1/3/2T1)^2=(r1/r2)^3\\(2/3)^2=(r1/r2)^3\\- > 4/9=(r1/r2)^3\\r1=(4/9)^1/3r2\\r2=(9/4)^1/3r1\\r2=1.31r1\)

A planet has two satellites in circular orbits of the second satellites is 1.31r1.

To learn more about orbital radius

https://brainly.com/question/16672332

#SPJ4

The movement of a pool ball, after being struck by a cue, is an example of Newton's second law of motion.

According to Newton's second law of motion, an object's acceleration is directly proportional to the magnitude of the applied net force.

Newton's second law of motion is also known as law of momentum. It says that the rate of change of momentum is equal to the net force acting.

The cue ball will stop moving immediately after colliding with a still pool ball if it hits it directly. The other ball, which will now be moving forward at the same speed as the cue ball did before the collision, will have received all of the kinetic energy that was in the first ball.

To learn more about Newton's second law of motion, click:

https://brainly.com/question/13447525

#SPJ1

The graph depicts how the gravitational drag of an orbiting planet affects a star's orbital speed over time. Based on these measurements, the planet's orbital period is about equal to the wavelengths of spectral lines in the star's spectrum.

Astronomers are able to detect not only the element but also the temperature and density of that element in the star by analyzing the spectral lines. The magnetic field of the star is another thing that the spectral line may shed light on for us. We can determine how quickly the material is traveling based on the breadth of the line. From this, we may learn about the winds that blow in the stars.

To know more about orbital speed click on the link below:

https://brainly.com/question/22247460

#SPJ4

The author's best argument against the light-rail project is that it is unnecessary. A combination of trams characterizes light rail transit, a type of passengers urban rail transportation.

In big cities, LRT can function as an independent organization or as a complement to heavy rail and passenger rail systems. The fastest and most economical interurban transport in a city is provided by LRT.

Heavy rail systems can be supplemented by LRT, and commuter rail networks in big cities can function independently. In a metropolitan area, LRT offers the fastest and most affordable interurban transportation service. It is intended to close a considerable gap between light rail and local buses.

To know more about light rail project visit:

https://brainly.com/question/2166229

#SPJ1

When a large object, such as a passenger train, moves at moderately high speeds through the air, it is most likely going to experience a drag force.

The magnitude and direction of this drag force depend on several factors, including the object's shape, size, and speed, as well as the properties of the fluid (in this case, air) through which it is moving.

In general, as an object moves faster through a fluid, the drag force it experiences increases.

This is because the fluid molecules near the object are pushed aside more rapidly, creating larger pressure differences and more turbulence. However, the exact relationship between the drag force and velocity is not linear.

In fact, the drag force is typically proportional to the square of the object's velocity.

This means that as the object's speed increases, the drag force it experiences will increase more rapidly.

This is why it becomes increasingly difficult to accelerate a train to high speeds, as the drag force it experiences grows exponentially.

Therefore, the correct answer to the question is that a large object moving at moderately high speeds through the air is most likely going to experience a drag force that is proportional to the square of the object's velocity.

To know more about  moderately refer here

brainly.com/question/13074526#

#SPJ11

An atom with only 1 to 3 valence electrons will tend to lose/subtract those valence electrons. That is option D.

Valence electrons are those electrons that are located at the outermost layer of an atom.

During a chemical reaction, elements that have 1 or 2 or 3 valence electrons donate or give out their electron to form a chemical bond with another aton if an element.

Learn more about atoms here:

https://brainly.com/question/30459794

#SPJ1

The new g = 3.16 m/s².

11 oscillations in 18.5 s

The duration of an oscillation is referred to as the time period.

T = 18.5 / 11 = 1.68 s

mass, m = 200 g = 0.20 kg

Δx = 22.8 cm = 0.228 m

ω = 2π / T = (2 x 3.14) / 1.68 = 3.73 rad/s

\(\omega =\sqrt{\frac{K}{m}}\)

Where, K is the spring constant

K = ω² m = 3.73 x 3.73 x 0.20 = 2.78 N/m

Now, mg = K Δx

0.20 x g =2.78 x 0.228

g = 3.16 m/s²

A sine wave—a wave with everlasting motion like the side-to-side swing of a pendulum or the up-and-down action of a spring with a weight—is an example of an oscillation. An oscillation is a periodic motion that repeats itself in a regular cycle. Around an equilibrium point or mean value, an oscillating movement takes place.

Free, damped, and forced oscillation are the three basic types of oscillation. A body is said to be oscillating freely when it vibrates at its own frequency.

learn more about oscillations here

https://brainly.com/question/26146375

#SPJ4

To determine which zodiacal constellations are visible in the western sky at 6 am on January 25, refer to the star finder and locate the corresponding positions on the celestial map.

The star finder is a helpful tool for locating celestial objects and obtaining information about the night sky. To use the star finder effectively, it should be held overhead with the compass points aligned to match the actual compass points. Keep in mind that east and west may appear reversed when looking down at the star finder.

The star finder consists of an open ellipse representing the sky for a specific time and date. The edges of the ellipse correspond to the observer's horizon. East and west are not located at the midpoint along the elliptical horizon due to the distortion caused by representing a three-dimensional hemisphere on a flat page. The east and west cardinal points are positioned north along the ellipse from their respective midpoints.

Locating the zenith is essential, as it is directly overhead for all observers and remains stationary. To find the zenith, tape both ends of a string between the north and south points on the star finder, spanning the entire visible sky. Mark a dot on the string midway between the northern and southern horizons using an ink pen. This dot represents the zenith.

By using the star finder and aligning it with the correct date and time, you can identify the zodiacal constellations visible in the western sky at 6 am on January 25. Simply locate the corresponding constellations on the star finder and observe their positions in the western region of the celestial map.

To learn more about celestial, Click Here: brainly.com/question/30419965

#SPJ11

The one property of a main-sequence star that determines all its other properties is its mass. Mass is the one property of a main-sequence star that determines all its other properties. The correct option is 3.

A main-sequence star is a star that is in the process of fusing hydrogen to helium in its core. When a star is in this stage, it is in equilibrium, which means that the gravitational pull toward its core is balanced by the energy produced by nuclear fusion in the core. When a star is in equilibrium, the one property that determines all of its other properties is its mass.

The reason for this is because the mass of a star determines how much pressure and temperature are generated in the core, which ultimately determines how much energy is generated and how long it will last.

Other properties like luminosity, temperature, and spectral type all depend on the mass of the star. Therefore, the mass of a main-sequence star is the one property that determines all of its other properties.

Therefore, the correct option is 3.

Read more about main-sequence star here:

https://brainly.com/question/906581

#SPJ11

Answer:

a true

Explanation:

Water has the high specific heat capacity.

That means it resists to change its temperature when a considerable amount of heat lost or gained

4200J is needed to raise the temperature of 1kg substance by 1 degree Celsius

Answer:

Explanation:

In this case, gravity is pulling down on them ( both teams ), the strong - arm team is excerting thrust by trying to pull the rope, and you've got the drag of the other team pulling back.

Answer:

Explanation:

(a) Electromagnetic waves travels at the speed of light = 3.0 x \(10^{8}\) m/s.

v = fλ

where v is the velocity of the wave, f is the frequency, and λ wavelength.

So that;

λ = \(\frac{v}{f}\)

  = \(\frac{3.0*10^{8} }{87.9*10^{6} }\)

  = 3.413 m

ii. Enegy of the wave can be determined by;

E = hf

where h is the Planck's constant and f the frequency of the wave.

E = 6.626 x \(10^{-34}\) x 87.9 x \(10^{6}\)

  = 5.82 x \(10^{-26}\) J

(b) Refractive index of water = \(\frac{velocity of light in air}{velocity of light in water}\)

velocity of light in water = 1.33 x 3.0 x \(10^{8}\)

       = 3.99 x \(10^{8}\) m/s

Answer:

D) 0.32

Explanation:

The computation of the thermal efficiency is given below:

Thermal efficiency is

= 710 J ÷ (710 J + 1480 J)

= 710 J ÷ 2,190 J

= 0.32

Hence, the thermal efficiency is 0.32

Therefore the last option is correct

Answer:

Baking a cake requires heat to be applied to the batter in order for it to cook and chemically change into cake. The energy or heat applied is absorbed by the ingredients, so this represents an endothermic reaction.

Explanation:

that's the sample answer, hope it helps

The batter needs to be heated in order to cook and chemically transform into a cake when it is baked. An endothermic reaction is taking place because the energy or heat applied is being absorbed by the constituents.

The quantitative characteristic that is transferred to a body or a physical system in physics is referred to as energy. It manifests itself as heat and light, as well as the act of doing work. Energy is a resource that is conserved; it can only be changed from one form to another and cannot be created or destroyed, according to the law of conservation of energy. The SI unit of energy measurement is the joule (J).

According to the question, there are various types of reactions two of which are endothermic reactions and exothermic reactions.

In an endothermic lot of energy is absorbed and in opposition to the exothermic reaction lot of energy is released.

To get more information about Energy :

https://brainly.com/question/1932868

#SPJ5

Answer:

The mass will stay the same throughout time

There were 1647 before liftoff. 38 m moving planes.

An object is considered to be in motion if its location throughout time changes in relation to its surroundings. It is the gradual change in an object's location. The only kind of motion that exists is linear motion.

The three equations are as follows: S = ut + 12at2, v = u + at, v2 = u + 2as.

The airplane's initial speed is U=0 m/s.

The plane accelerates at a 4 m/s rate.

with a time stamp of 28.7 seconds.

Distance traveled using the formula S=ut+a

⇒ S=0(28.7)+0.5(4) (4)

=1647.38 ~ 1647m

To know more about motion visit:

https://brainly.com/question/22810476

#SPJ10