A⃗ = 22x^ + (-14)y^, and B⃗ = 2.5x^ + 13y^. Express A⃗ −B⃗ in unit vector notation.

The fluid exerts a buoyant pull on an object when it is submerged in it. if the item is fully submerged. The amount of buoyancy an object experiences depends on both the fluid's density and objects volume. Hence, option B is correct.

As the density of the fluid grows, the buoyant force becomes stronger. Similar to this, as an object's volume increases, so does the buoyant force. The buoyant force's strength can also be influenced by the air pressure, which can alter how much force an item perceives to be exerted at its greatest intensity. The buoyant force will have a greater impact on the object the deeper it is buried in the fluid. As a result, if the object is completely submerged, the buoyant force's strength will depend on the object's volume and the density of the fluid.

To learn more about  buoyant force

brainly.com/question/21990136

#SPJ4

The complete question is:

A fluid exerts a buoyant force on an object when it is submerged in it. Which of the following determines how strong this force will be if the object is fully submerged? select all that apply.

A) The body's mass, fluid density

B) Density of the fluid and body volume

C) The body's weight

D) Shape of the body

The shipping costs of the vehicle would be borne by the consumer is an accurate statement regarding the uniform commercial code article 2 and the purchase of a new vehicle within as it pertains to this scenario.

The purchase of new vehicles is nothing but a purchase of a good as that term is defined by the article 2 of the Uniform Commercial Code.

The Uniform Commercial Code has protections on behalf of the buyer.

The UCC has numerous provisions to help parties amend contracts through writings and permits that additional items can be easily added to a contract between parties.

To know more about vehicles:

https://brainly.com/question/14310784

#SPJ4

The temperature at which the two metals will touch each other is 505 ⁰C.

The temperature at which the metals touch each other is calculated as follows;

L = ΔL / αΔθ

where;

Since both metals have equal length, our new equation becomes;

ΔL₁ / α₁Δθ = ΔL₂ / α₂Δθ

where;

ΔL₁ / α₁ = ΔL₂ / α₂

ΔL₁ /  ΔL₂ = α₁  / α₂

ΔL₁ /  ΔL₂ = ( 12 x 10⁻⁶ ) / ( 19 x 10⁻⁶ )

ΔL₁ /  ΔL₂ = 0.63

ΔL₁ = 0.63ΔL₂

The expansion of the two metals will be equal to 1.55 cm gap.

ΔL₁ + ΔL₂ = 1.55 cm

0.63ΔL₂ +  ΔL₂ = 1.55

1.63ΔL₂ = 1.55

ΔL₂ = 1.55 / 1.63

ΔL₂ = 0.95 cm

The change in temperature is calculated as follows;

Δθ = ΔL₂  / (L₂α₂)

Δθ = ( 0.95 ) / ( 100 x 19 x 10⁻⁶ )

Δθ = 500 ⁰C

The temperature at which the two metals will touch each other is calculated as follows;

T - T₀ = Δθ

T = Δθ + T₀

T = 500 ⁰C  +  5 ⁰C

T = 505 ⁰C

Learn more about linear expansion here: https://brainly.com/question/9965604

#SPJ1

When performing a hypothesis test on the population proportion, the test statistic is calculated as z=p*-p0/√(p0(1-p0))/n.

A hypothesis is an explanation proposed for a phenomenon. The scientific method requires that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists typically base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories. In a scientific context, a hypothesis (plural: hypotheses) is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon. A simple hypothesis is a statement that reflects the relationship between two variables. One is independent, while the other is dependent. Consider the statement, "Smoking is a leading cause of lung cancer." The independent variable, smoking, influences the dependent variable, lung cancer.

Here,

When conducting a hypothesis test concerning the population proportion, the value of the test statistic is calculated as z=p*-p0/√(p0(1-p0))/n.

To know more about hypothesis,

https://brainly.com/question/14568609

#SPJ4

According to Thomson's atomic model, an atom is made up of a positively charged sphere into which negatively charged electrons are implanted.

Define neutral atom ?

To learn more about neutral atom refers to:

https://brainly.com/question/26408864

#SPJ4

If Isabella measures the same side of a battery, the voltage reading should remain the same at 9 V.

To learn more about Ohm's Law refer to:

https://brainly.com/question/231741

#SPJ1

To gain momentum of 7*105 kg.m/s, the truck must travel at a speed of 46.67 m/s.

Momentum is defined in Newtonian mechanics as the product of an object's mass and velocity. It is a vector quantity with magnitude and direction. 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.

Here,

P=mv

P=7*10^5 Kg.m/s

m=15000 kg

7*10^5=15000v

v=700/15

v=46.67 m/s

The truck must travel at the speed of 46.67 m/s to gain the momentum of 7*10^5 kg.m/s.

To know more about momentum,

https://brainly.com/question/6271830

#SPJ1

Based on this information, the statement which is true about the object's motion is statement a. The object's speed is increasing.

The pace at which an object's velocity with regard to time changes is referred to as acceleration in mechanics. They are endogenous variables, accelerations. The direction of the total force exerted on an object determines the direction of its acceleration.

Motion in physics is the movement in an object's location with regard to its environment over a specific period of time. The phrases distance, displacement, and speed can be used to represent how an item moving with certain mass is moving. Motion is also mathematically characterised as the viewer's sense of perspective and the measurement of the shift in the body's position in relation to that frame over time.

To learn more about acceleration here

brainly.com/question/12550364

#SPJ4

The molecules and particles in a medium scatter light when it comes into contact with them, and as a result, the wavefront moves more slowly in a media than it would in a vacuum. v = c/n.

where c is the speed of light in a vacuum and n is the index of refraction of the medium, calculates the speed of light in a particular medium. The index of refraction is a measurement of how much light travels slower through a medium than it does in a vacuum. Light travels through a medium at a slower speed the higher the index of refraction. The wavefront is impacted by refraction, reflection, and other phenomena as it travels through the medium.

To learn more about Refractive Index

brainly.com/question/23750645

#SPJ4

The electrostatic force(F) on the positive charge 5C is -9 ×[tex]10^{8}[/tex]

Given:

First Charge, q1= 5 C

Second Charge, q2= -2 C

According to coulomb's law;

[tex]F = \frac{Kq1_{1} q2_{2} }{r^{2} }[/tex]

Here

[tex]K=9[/tex]× [tex]10^{9} N.m^{2} /C^{2}[/tex]

After substituting the given values, we have

[tex]F=\frac{9 * 10^{9} * 5 *(-2) }{10^{2} }[/tex]

F= -9 ×[tex]10^{8}[/tex]

To know more about electrostatic force,

https://brainly.in/question/6632

https://brainly.com/question/27349328

Uncharged capacitor there is a flow of electrons from charged to uncharged until a steady state situation is arrived. I.e. After this no transfer of charge happens i.e. both the capacitors are in equilibrium condition.

What is meant by electrons?

To learn more about electron refer to

brainly.com/question/26084288

#SPJ4

A three dimensional object grow from the two dimensional objects.

A three dimensional object can be defined as the one that is more real and tangible in our present world. A three dimensional object an object that has all the following values like the Height, width and depth.

A three dimensional object consists of man and almost all the things we see every where in our everyday life.

The three dimensional object is very important, and hence they are being employed by different organization like the film industry, because it make it look real and tangible and are used in various other industries.

We can conclude that a three dimensional object grow from two dimensional.

Learn more about three dimensional object: brainly.com/question/12584081

#SPJ2

The van der Waals equation is a modified version of the ideal gas equation that accounts for the finite size of gas molecules and the attractive forces between them. The equation is given by:

[tex](P+a/V^{2})(V-b) = RT[/tex]

The virial coefficients (b and c) are used to describe the behaviour of a gas in terms of the interactions between its molecules.

To calculate the second virial coefficient (b), we can integrate the van der Waals equation over the volume:

[tex]b = (\frac{2\pi }{3})^{2} *a^{\frac{3}{2} } m(-\frac{1}{2} )[/tex]

Where m is the molar mass of the gas.

To calculate the third virial coefficient (c), we need more information, such as the polarizability of the gas molecules and the interactions between them.

Learn more about Virial Coefficients here:https://brainly.com/question/13255873

#SPJ4

The speed of the resulting 50 g blob of clay is  0.5003 m/s and the direction is 87.70⁰ south-west.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Appling conservation of momentum along north direction:

20 g × 2.0 m/s + 30 g × (- 1.0 m/s × sin30°) = (20 g + 30 g)× v₁

v₁ = 0.5 m/s

Appling conservation of momentum along east direction:

20 g ×0 m/s + 30 g × (- 1.0 m/s × cos 30°) = (20 g + 30 g)× v₂

v₂ = - 0.02 m/s.

Hence,  the speed of the resulting 50 g blob of clay is

= √{(0.5)²+(0.02)²} m/s

= 0.5003 m/s.

The direction of the resulting blob of clay with east direction is =

tan⁻¹(0.5/(-0.02))

= - 87.70⁰

Learn more about velocity here:

https://brainly.com/question/18084516

#SPJ1

The mass of the planet with the same radius as Earth is 3.05 × 10^24 kg.

Mass is a measure of the amount of matter contained in an object. It can be measured using scales, balances or other measuring instruments. Mass is a fundamental property of all matter, and its measurement is the basis for many scientific and engineering calculations. Mass is not the same as weight, which is a measure of the force exerted by gravity on an object. Mass is often expressed in units such as kilograms or grams.

To calculate the mass of the planet, we must use Newton's Second Law of Motion, which states that the force (F) is equal to the mass (m) times the acceleration (a): F = ma. Since the astronaut's weight on the planet is twice what it is on Earth, the acceleration on the planet must be twice what it is on Earth. We can then use the equation F = mg (where m is the mass of the astronaut and g is the gravitational acceleration on Earth) to calculate the acceleration on the new planet.

We know that the gravitational acceleration on Earth is 9.81 m/s2, so the gravitational acceleration on the new planet is twice that, or 19.62 m/s2. We can now use Newton's Second Law of Motion to solve for the mass of the planet:

F = ma
mg = ma
m = (mg)/a

m = (60kg * 9.81m/s2)/(19.62m/s2)

m = 3.05 × 10^24 kg

Therefore, the mass of the planet with the same radius as Earth is 3.05 × 10^24 kg.

To know more about mass click-
https://brainly.com/question/19385703
#SPJ4

The second reflection is created as the light frvl as it passes through the block. Multiple pictures are created via surface diffraction.

The act of light spreading out after passing through a narrow area or bending around an object is known as diffraction. The dispersion of light waves is a topic covered in physics classes. Sound, television, and water waves are all susceptible to diffraction.

Diffraction is the small bending of light that occurs when it travels around an object's edge. The degree of bending is influenced by the wavelength of light's size in relation to the opening's size. When the opening exceeds the wavelength of the light, the

To know more about diffraction visit:

https://brainly.com/question/12290582

#SPJ4

temps, in ℉, for the following seven days, if (Math.abs(pred[i] – act[i]) > num); num Equal Math.abs(pred[i] - act[i]); The ordinary everyday temp, measured in ° C., is noted by the meteorologist at the close of each day.

The science of meteorology is concerned with the physical processes that occur in the Earth's atmosphere. Physicists who observe, investigate, or predict the weather are known as meteorologists.

A person with specific education who employs scientific concepts to explain, comprehend, observe, or forecast atmospheric events on earth, as well as how the atmosphere influences the earth & life on the planet, is known as a meteorologist.

To know more about meteorologists visit;

https://brainly.com/question/2704958

#SPJ4

The new readings of the balance and spring scale are same as that of the old readings.

equal-arm balance = 12 kg

kg spring scale = 12 kg

Using a counter mass on the balance's opposing plate, the equal arm balance calculates an object's mass. Both the mass being measured and the mass standards being compared to are equally impacted by gravity.

The tested mass and the standard masses are thus equally affected by changes in the local gravitational field. Consider the spring scale in comparison. In such range, the spring delivers a calibrated level of force regardless of the gravitational field in the immediate area. Therefore, the force indicated is higher if the local gravity is higher.

Additionally, the stated force is lower when the gravitational field is smaller. Changes in the local gravitational field have no effect on the spring's force.

To know more about balances:

https://brainly.com/question/5393891

#SPJ4

The time required until the locomotive's speed reaches 33.2 m/s is 7.04 second.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Acceleration of the locomotive: a = 3.12 m/s².

Initial speed of the locomotive: u = 24.8 m/2.21 s = 11.22 m/s.

Final speed of the locomotive: v = 33.2 m/s.

Let, time interval = t

So, v = u - at

t = (v -u)/a

= (33.2 - 11.22)/3.12 second

= 7.4 second.

Hence, the  time required until the its speed reaches 33.2 m/s is 7.04 second.

Learn more about acceleration here:

brainly.com/question/12550364

#SPJ1

Since the  refractive index of the core is higher than that of the cladding, light in the core striking the cladding boundary at an angle steeper than the critical angle is reflected back into the core by total internal reflection.

to learn more about refractive index from the given link:

https://brainly.com/question/23750645

#SPJ1

The moments of inertia are ranked as follows, from smallest to largest is     I₁ < I₂ < I₃.

Moment of inertia is a physical quantity that measures an object's resistance to rotational motion. It is defined as the sum of the products of the mass of each particle in a system and the square of its perpendicular distance from the axis of rotation.

The formula for moment of inertia is:

I = Σmr²

where I is the moment of inertia, m is the mass of each particle in the system, r is the perpendicular distance of each particle from the axis of rotation, and the symbol Σ indicates a summation over all particles in the system.

Moment of inertia plays a crucial role in rotational motion, just as mass plays a crucial role in linear motion. It determines how much torque is required to produce a certain amount of rotational acceleration, and how quickly an object will respond to an applied torque.

The moment of inertia of an object depends on its shape and the distribution of mass within that shape. Objects with more mass distributed farther from the axis of rotation will have a higher moment of inertia and will be more resistant to rotational motion.

Moment of inertia is an important concept in many areas of physics and engineering, such as the design of rotating machinery, the motion of planets and other celestial bodies, and the behavior of molecules in quantum mechanics.

Here in the question,

To rank the moments of inertia I₁, I₂, and I₃ about axes through the centers of the rods, we need to use the parallel axis theorem, which states that the moment of inertia about an axis parallel to an axis passing through the center of mass of the object is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.

Let's denote the distances between the centers of mass and the rods as r₁, r₂, and r₃, respectively.

Then we have:

I₁ = I₁_cm + m(r₁ + R/2)^2

I₂ = I₂_cm + m(r₂ + 2R)^2

I₃ = I₃_cm + m(r₃ + R/2)^2

To rank the moments of inertia, we need to compare the values of (r + R/2)^2, (r + 2R)^2, and (r + R/2)^2 + R²/4 for each of the pairs of balls. We can see that the last term is the same for all pairs of balls, so we only need to compare the first two terms for each pair.

For pair 1, we have:

(r₁ + R/2)^2 < (r₂ + 2R)^2

since r₁ < r₂.

For pair 2, we have:

(r₂ + 2R)^2 < (r₃ + R/2)^2 + R²/4

since r₂ < r₃.

Therefore, the moments of inertia are ranked from smallest to greatest is I₁ < I₂ < I₃.


To learn about the Center of gravity  click:

https://brainly.com/question/20662235

#SPJ2

Complete Question: Think about how systems thinking applies to a car. Use systems thinking model and drag options to correct location.

Input, Process, Output, Feedback

Engine, Pedal, Gas, Warning light

Systems thinking is a way of understanding how different components of a system interact with one another. In the case of a car, the systems thinking model can be applied to understand how different components work together to produce the desired outcome of driving the car.

Input: Gas - This refers to the fuel that goes into the car. The car cannot operate without fuel, so it is considered an input to the system.

Process: Engine - This is the component of the car that converts the fuel into energy, which powers the car. The engine is the process that takes place within the car to make it move.

Output: Pedal - This is what the driver uses to control the speed of the car. The pedal is the output of the car's movement, as it is what the driver uses to drive the car.

Feedback: Warning light - This is a mechanism that provides feedback to the driver about the state of the car. For example, if the gas tank is low, a warning light will come on, providing feedback to the driver that they need to refuel the car.

In summary, Systems thinking model can be applied to a car in order to understand the relationship between different components of the car. Gas is the input, engine is the process, pedal is the output, and warning light is the feedback. These components work together to produce the desired outcome of driving the car.

Learn more about Systems thinking here:

https://brainly.com/question/21486274

#SPJ4

Block with spring plus wall together can be classified as a closed system

1. Closed system is imaginary boundary through which no force interact. Or we say that closed system is system on which net force is zero.

2. Now consider block

There are force act by spring on block.

3. Now consider spring

There are two force at end of spring. On one end of spring force is act by block. While on second end of spring force is act by wall.

4. Now consider wall

There are force act by spring on wall.

5. For closed system, there should be zero force on system.

So we have take block, spring and wall as a closed system.

To know more about closed system visit:

https://brainly.com/question/14782983

#SPJ4

A karyotype is an arrangement of chromosomes from a cell based on their shape, size, and position of their centromeres'.

what is karyotype?

.

To learn more about karyotype refers to:

https://brainly.com/question/12013060

#SPJ4

The figure (i) (attached below) will have net zero force acting on it.

In the given figure forces of equal magnitudes are acting on it but in opposite directions. So, the cancel out to zero .

                                                         F=ma

Where, m= mass,

            a= rate of acceleration

To know more about force visit:

https://brainly.com/question/15697730

#SPJ4

since the inductor current and capacitor voltage cannot change .

What is  initial voltage across the capacitor?

To learn more about capacitor refers to:

https://brainly.com/question/25884271

#SPJ4

The dimensional formula of density is calculated from the formula of density to be ρ = [M] [L]⁻³ which is option (C).

There are only seven fundamental physical quantities. We may determine the dimension of any other physical quantity using these fundamental quantities. With the help of the dimensions of mass and length, we must determine the density dimension in this situation. Volume is a measure of length. Any dimensional formula is usually written in the form of  mass [M], length [L] and time [T].

If an object has mass M and volume V then the density of the object is given by,

ρ = M/V

[ρ] = [M]/[V] =  [M]/[L]³ = [M] [L]⁻³

Thus, the dimensional formula of density is [M] [L]⁻³.

To know more about density:

https://brainly.com/question/13055041

#SPJ4

According to the induced fit theory by Daniel Koshland, binding of substrate to the enzyme brings a conformational change in the enzyme to either enhance or inhibit its activity.

which of the following cartoons illustrates the induced-fit hypothesis of enzyme-substrate interaction?

To learn more about  enzymes refers to:

https://brainly.com/question/14577353

#SPJ4

Millikan and Harvey set out to measure, the value of the elementary electric charge, hence for questions 1- B, 2- C, 3- D, 4-A, and 5- D.

If the top metal is negatively charged the positive charge of the droplets will be attracted to it. If droplets have three extra electrons it has three elementary charges.

The experiment involved looking at microscopic electrically charged oil droplets that were sandwiched between two parallel metal surfaces that served as the capacitor's plates.

Therefore, the evaporation of oil from droplets during the experiment is a potential source of excess charge.

Learn more about the experiment, here:

https://brainly.com/question/28985938

#SPJ1