what is the minimum hose diameter of an ideal vacuum cleaner that could lift a 12 kg dog off the floor?

Answer:

the angle of the vector, using the inverse tangent function, is approximately 14.04 degrees.

Explanation:

To find the angle of a vector with given x and y components, we can use the inverse tangent (arctan) function. The formula is as follows:

Angle = arctan(y-component / x-component)

Given:

x-component = 8

y-component = 2

Using these values, we can calculate the angle as:

Angle = arctan(2 / 8)

Calculating this expression, we find:

Angle ≈ arctan(0.25) ≈ 14.04 degrees

9. The object's acceleration will decrease if the net force applied to the object is constant but the total mass increases. 10. The objects acceleration will increase if the net force was increase and the mass was kept constant

F = m a

F = Force

m = Mass

a = Acceleration

a ∝ F

a ∝ 1 / m

9 ) Since Force is constant and mass increases, the acceleration will decrease.

10 ) Similarly if the net force increases while the mass is kept constant, the acceleration will increase.

According to Newton's second law of motion, force is equal to the rate of change of momentum. For a constant mass force equals mass of the object times acceleration of the object.

Therefore,

9. The object's acceleration will decrease if the net force applied to the object is constant but the total mass increases.

10. The objects acceleration will increase if the net force was increase and the mass was kept constant

To know more about Newton's second law of motion

https://brainly.com/question/13447525

#SPJ1

Answer:

if we drop it and not throw it then

after 0.75 how fast the book is falling is given by its velocity as

v= at

= 9.8 × 0.75

=7.35 m/s

Answer: Wavelength

Explanation:

Answer:

C) wavelength

Explanation:

I hope this is right, have a nice day!

The periodic ECG model Fourier coefficients for a square wave model can be calculated using superposition.

To calculate the Fourier coefficients for a square wave model, we need to use the concept of superposition. The square wave can be represented as a sum of sine waves at different frequencies. Each frequency component has an associated amplitude and phase. The Fourier coefficients provide a way to express these amplitudes and phases.

To calculate the Fourier coefficients, we can start by decomposing the square wave into its frequency components using the Fourier series. The Fourier series representation of a square wave consists of a fundamental frequency and its odd harmonics. The fundamental frequency is the reciprocal of the period of the square wave.

By applying the appropriate formulas and integration techniques, we can determine the coefficients for each frequency component. These coefficients represent the amplitudes and phases of the sine waves that make up the square wave. The calculation process involves evaluating integrals and applying trigonometric identities.

In summary, the periodic ECG model Fourier coefficients for a square wave model can be obtained by decomposing the square wave into its frequency components using the Fourier series. By applying superposition and evaluating the integrals, we can determine the amplitudes and phases of each frequency component. These coefficients provide a mathematical representation of the square wave in terms of sine waves.

Learn more about Fourier coefficients here:

https://brainly.com/question/30215548

#SPJ11

Answer: A.

current (thumb) to magnetic field (fingers)

Answer:

A. current (thumb) to magnetic field (fingers)

Explanation:

According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.

Hope it helps.

If you have any query, feel free to ask.

Answer:

f = 0.365 Hz

Explanation:

The angular velocity of a simple pendulum is

           w = \(\sqrt{g/L}\)

angular velocity and frequency are related

           w = 2π f

we substitute

           2π f = \(\sqrt{g/L}\)

Let's find the initial length of the pendulum

            L = \(\frac{g}{4\pi^2 } \ f_o\)

            L₀ = \(\frac{9.8}{4 \pi ^2} \ 0.4\)

            L₀ = 0.6206 m

Indicates that the length of the chord triples

             L = 3 L₀

             L = 3 0.6206

             L = 1.8618 m

let's find the frequency

             f = \(\frac{1}{2\pi } \ \sqrt{\frac{9.8}{1.8618} }\)

             f = 0.365 Hz

Answer:

Explanation:

The formula for calculating resultant of of two forces is expressed as:

R = √F1²+F2²

R = √500²+350²

R = √250000+122500

R = √372500

R = 610.33N

The resultant of the two forces is 610.33N

To calculate the angle between the forces, we will use the formula;

Tan(theta) = 350/500

Tan(theta) = 0.7

Theta = tan^-1(0.7)

Theta = 34.99°

The angle it makes with the x axis will be 180-34.99 = 145°

Answer:

the correct one is 3

Explanation:

The magnetic force is described by the expression

         F = q v x B

The bold indicate vectors, q is the charge, v the velocity and B the magnetic induction

This expression can be written in scalar form

        F = q v B sin θ

where θ is the angle between velocity and induction.

The direction of the force is perpendicular to the vectors.

When revising this expression the force depends on the electric charge, the speed of the particle and the induction of the magnetic field

therefore, checking the possible answers, the correct one is 3

One kilogram (1 kg) is equal to 0.001 metric tonnes (t). The tonne (t) is a metric unit of mass or weight that is equivalent to 1,000 kilograms.

The term equivalent in physics refers to the concept of comparing two different physical quantities that have the same effect or impact on a system. It implies that although the two quantities are different in terms of their units and dimensions, they can be considered as equal or interchangeable because they produce similar effects.

This theory states that mass and energy are equivalent and interchangeable. The famous equation E=mc² describes the equivalence between mass (m) and energy (E) by relating them to the speed of light (c). This implies that any mass can be converted into energy and vice versa, and they have the same effect on the physical system.

To learn more about Equivalent visit here:

brainly.com/question/14187491

#SPJ4

The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).

What is  equation of motion?

The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.

To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.

The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.

In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.

Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).

Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).

Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).

To know more about equation of motion, refer here:

https://brainly.com/question/29278163#

#SPJ4

a) Magnification is not a constant property of a lens. It is defined as the ratio of the size of the image formed by the lens to the size of the object. This ratio can change depending on the distance between the object and the lens, as well as the focal length of the lens.

Referring to data tables 2 & 3, we can see that as the object distance decreases or the image distance increases, the magnification also increases. Similarly, as the focal length of the lens increases, the magnification decreases.

b) The focal length of the convex lens is 6.67 cm, the magnification is 4, and the image is inverted.

Given: Object distance (u) = 10 cm, Image distance (v) = 40 cm

Using the lens formula, we can calculate the focal length (f) of the lens:

1/f = 1/u + 1/v

1/f = 1/10 + 1/40

1/f = 0.15

f = 6.67 cm

The magnification (M) can be calculated using the formula:

M = v/u

M = 40/10

M = 4

The image is inverted since the magnification is greater than 1.

Therefore, the focal length of the convex lens is 6.67 cm, the magnification is 4, and the image is inverted.

For more information on convex lenses visit:

brainly.com/question/12213784

#SPJ11

Iron production was mastered by Zhou craftsmen.

The Zhou dynasty was one of the greatest in Chinese history, and among its many achievements were the artisans who discovered how to make iron. Iron became a common material for agricultural equipment, which was revolutionary for the Chinese people and extremely beneficial for agriculture. Everything became lot easier, quicker, and more efficient as a result.

The Zhou dynasty, which followed the Shang dynasty, was the longest to rule China.

Artisans are individuals who create handicrafts.

Agriculture, education, military planning, Chinese literature, music, philosophical schools of thought, social stratification, as well as political and religious advancements, all benefited from the Zhou Dynasty's considerable cultural contributions.

To know more about Zhou dynasty :

brainly.com/question/6440800

#SPJ1

The critical speed below which the rope would become slack when the bucket reaches the highest point in the circle is determined by the length of the rope and the radius of the circle.

When the bucket is at the highest point in the circle, it is momentarily at rest and the tension in the rope must be zero.

The formula for calculating the critical speed at which the rope becomes slack is:

v = √(gr)

where v is the critical speed, g is the acceleration due to gravity, and r is the radius of the circle.

For example, if the radius of the circle is 2 meters and the acceleration due to gravity is 9.8 m/s², the critical speed would be:

v = √(9.8 × 2) = 4.4 m/s

Learn more about the critical speed at

https://brainly.com/question/13260793?referrer=searchResults

#SPJ4

The minimum distance between the two dots that can be distinguished by the person's eye is approximately 1.22 × \(10^-3 cm.\)

The limiting angle of resolution of the human eye is the smallest angle between two points that can be distinguished as separate. It is given by the formula:

sinθ = 1.22 λ/D

where θ is the limiting angle of resolution, λ is the wavelength of light, and D is the diameter of the pupil.

In this case, we can assume the wavelength of light to be 550 nm, and the diameter of the pupil to be 5 mm. Substituting these values in the above equation, we get:

sinθ = 1.22 × 550 × \(10^-9\) / 5 × \(10^-3\)= 1.34 × \(10^-5\)

Next, we can use trigonometry to calculate the minimum distance between the two dots that can be distinguished by the person's eye. Let x be the minimum distance between the dots. Then, we have:

x/43.4 = tanθ

Substituting the value of θ, we get:

x = 43.4 × tan(1.34 × \(10^-5\)) = \(1.22 × 10^-3 cm\)

Therefore, the minimum distance between the two dots that can be distinguished by the person's eye is approximately 1.22 × \(10^-3 cm.\)

Learn more about wavelength

https://brainly.com/question/31143857

#SPJ4

The car's kinetic energy, K = 384J, is equal to the energy needed to halt it. The law of kinetic energy tells us that: in the equilibrium position, the automobile is moving at its maximum speed according to periodic motion .

using formula: \(k=\frac{1}{2}mv^{2}\).

Electricity as described to by academics as the aptitude for effort. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.

Chemical, electrical, radiant, mechanical, thermal, and nuclear energy are the six main types of energy. Additional types including electrochemical, acoustic, electromagnetic, and others could be addressed in other studies.

To know more about Energy visit:

https://brainly.com/question/1932868

#SPJ4

b. We can Connect 3 cells in series to 3 lamps in parallel and place an ammeter on the circuit to measure the current through one of the lamps.

The image is attached.

c. In this  connection, we creates a series connection where the current flowing through each component is the same.

the two cells' positive and negative terminals must be connected in order to complete the circuit. As a result, a parallel connection is formed where the overall current capacity rises while the voltage across each cell stays the same.

The positive terminal of the first light would be connected to the negative terminal of the second lamp in order to link the two lamps and a motor in series. The second lamp's positive terminal would then be connected to one of the motor's terminals. Finally, you would attach the other motor terminal to the first lamp's negative terminal.

This establishes a series connection in which each component receives the same amount of current.

Learn more about parallel connection  at:

https://brainly.com/question/19509255

#SPJ1

Answer:

The source of energy that is used to power the movement of contraction in working muscles is adenosine triphosphate (ATP) – the body's biochemical way to store and transport energy. However, ATP is not stored to a great extent in cells. So once muscle contraction starts, the making of more ATP must start quickly.

Explanation: Brainliest?

The magnitude of the external magnetic field is approximately 0.194 Tesla.

To solve this problem, we can use the equation for the magnetic force on a current-carrying wire:

F = BILsinθ

where F is the magnetic force, B is the magnitude of the magnetic field, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.

Given:

Length of the wire, L = 0.19 m

Current, I = 7.6 A

Angle, θ = 17°

Force, F = 6.2 x \(10^{-3}\)N

Substituting the given values into the equation, we have:

6.2 x \(10^{-3}\) N = B * 0.19 m * 7.6 A * sin(17°)

Simplifying the equation, we can solve for B:

B = (6.2 x \(10^{-3}\) N) / (0.19 m * 7.6 A * sin(17°))

Calculating this expression, we find:

B ≈ 0.194 T

Therefore, the magnitude of the external magnetic field is approximately 0.194 Tesla.

Learn more about magnetic fields, here:

https://brainly.com/question/19542022

#SPJ4

Answer:

The fundamental frequency at which the sound of speakers at the microphone produce constructive interference is 801.076458 Hz

Explanation:

For a given arrangement having constructive interference, we have;

R₁ - R₂ = 2·x = 0 + n·λ

The distance from one speaker to the microphone. R₁ = 4.50 m

The distance between the two speakers = 2.00 m

The angle formed between the direction from the microphone to the speaker closest and the directional path between the speakers = 90°

Therefore, by Pythagoras's theorem, the distance from the speaker furthest from the microphone, to the microphone, 'R₂' is given as follows;

R₂ = √(4.50² + 2.00²) = √(24.25) = 4.9244289009 ≈ 4.924

∴ R₂ ≈ 4.9244289 m

R₂ - R₁ = 4.9244289 m - 4.5 m = 0.4244289 m

For constructive interference, R₂ - R₁ =0.4244289 m = n·λ

For n = 1, we have;

R₂ - R₁ =0.4244289 m = n·λ = 1 × λ = λ

λ = 0.4244589 m

f = v/λ = 340 m/sec/(0.4244289 m) ≈ 801.076458 Hz

Therefore the lowest possible fundamental frequency at which the speakers produce constructive interference, f = 801.076458 Hz

The frequency at which the speakers produce a constructive interference is 801.076 Hz.

Given here,

\(R_1\)- The distance from one speaker to the first microphone = 4.5 m

\(R_2\) - The distance between microphone and second speaker = ?

The distance between the speakers = 2 m

From Pythagorean theorem,

\(R_2= \sqrt {4.50^2 + 2.00^2}\\\\R_2 = \sqrt{24.25} \\\\R_2= 4.924\)

So,

\(R_2 - R_1 = 4.9244 \, {\rm m} - 4.5 \, {\rm m} \\\\R_2 - R_1 = 0.4244 \, \rm m\)

For constructive interference,

\(R_2 - R_1 = m\lambda\)

Since, m = 1

λ = 0.4244 m

Now, frequency can be calculated by the formula,

\(f = \dfrac v\lambda\)

So,

\(f = \dfrac {340{\rm \ m/sec}}{(0.4244\; \rm m) }\\\\f = 801.076{\rm \ Hz}\)

Therefore, the frequency at which the speakers produce a constructive interference is 801.076 Hz.

To know more about fundamental frequency,

https://brainly.com/question/25694821

Answer:

1. is held

2. was

3. be cancelled

4. has been moved

5. is being filmed

Explanation:

If you read them out, you can find out which ones flow the best! Hope this helps!

Answer:

200 Pa

Explanation:

pressure = force/area

force = 2400N

area = 6cm^2 per hoof

pressure = 2400/(6x2)

pressure = 200 Pa

The solution of expression $12.7\ge s-5.3$ is $s \leq 18$.

The expression $12.7\ge s-5.3$ is an inequality, which means that it expresses a range of values for the variable $s$. The symbol $\ge$ means "greater than or equal to," and in this context it indicates that $12.7$ is greater than or equal to $s-5.3$.

To solve for $s$, we can start by adding $5.3$ to both sides of the inequality:

\begin{align*}

12.7 &\ge s-5.3 \

12.7+5.3 &\ge s-5.3+5.3 \

18 &\ge s

\end{align*}

So the solution is $s \leq 18$. This means that any value of $s$ that is less than or equal to $18$ will satisfy the inequality. For example, $s=15$ would satisfy the inequality, because $12.7 \ge 15-5.3$. However, $s=20$ would not satisfy the inequality, because $12.7 \ngeq 20-5.3$.

What are the variables?

A variable is a symbol or letter that represents a value that can vary or change in a given context or problem. Variables are used to write mathematical expressions, equations, and functions.

To know more about the variables, visit:

https://brainly.com/question/17344045

#SPJ1

Complete question is: $12.7\ge s-5.3$ is $s \leq 18$.

The mass of the object that has a density of 15g/cm³ and a volume of 3cm³ is 45g.

The density of a substance is the measure of the mass of matter contained by a unit volume. It can be calculated as follows:

Density = mass ÷ volume

This means that the mass can be calculated by multiplying the volume by the density of the substance.

According to this question, an object has a density of 15g/cm³ and a volume of 3cm³. The mass can be calculated as follows:

Mass = 3cm³ × 15g/cm³

Mass = 45g

Therefore, 45 grams is the mass of the object.

Learn more about mass at: https://brainly.com/question/6107689

#SPJ1

In the context of track lighting installed in a retail store, the statement "a maximum of 2 feet of light track or fraction thereof shall be considered" refers to a guideline or regulation regarding the permissible length of track lighting in certain situations.

Based on the provided information, it suggests that if the total length of the lighting track in a retail store is less than or equal to 2 feet, it will be considered as compliant or within the regulations. This means that if the track length is 2 feet or less, there is no violation of any regulations related to track lighting in that particular context.

It's important to note that the specific regulations or guidelines regarding track lighting can vary depending on the jurisdiction, building codes, or industry standards applicable in a particular area. Therefore, it is advisable to consult local building codes, safety regulations, or seek guidance from professionals familiar with the specific requirements and standards for track lighting installations in retail stores in your location.

To know more about light refer here

https://brainly.com/question/31064438#

#SPJ11

Answer:

\(mgh = \frac{1}{2} m {v}^{2} \\ v = \sqrt{2gh} \\ = \sqrt{2 \times 9.8 \times 10} \: m. {s}^{ - 1} \)

The total force that must be applied to the sled to accelerate it at 3.0 m/s² depends on the mass of the sled. The main answer cannot be provided without the mass of the sled.

Newton's second law of motion states that the force applied to an object is equal to the mass of the object multiplied by its acceleration:

Force = mass × acceleration

Therefore, to determine the total force required to accelerate the sled at 3.0 m/s², we need to know the mass of the sled.

Once the mass of the sled is known, we can calculate the total force using the formula mentioned above. The force required will be equal to the product of the mass and the acceleration.

It's important to note that the total force required to accelerate the sled includes both the force required to overcome friction and the force required to provide the desired acceleration. If there is no friction acting on the sled, the total force required will only be the force necessary to achieve the desired acceleration. However, if there is friction, the total force required will be the sum of the force necessary to overcome friction and the force required for acceleration.

In summary, the main answer to the question cannot be provided without the mass of the sled, as it is a crucial factor in determining the total force required to accelerate the sled at 3.0 m/s². Once the mass is known, the force can be calculated using the formula Force = mass × acceleration.

Learn more about accelerate here: brainly.com/question/2303856

#SPJ11

Explanation:

df = do + vot  + 1/2 at ^2      do = what you are looking for      df = ground = 0

0 = do + 6 (3 ) + 1/2 ( -9.81) (3^2)

do = 26.1 m

The change in momentum of the school bus with the force of 14500 N and time of 5 seconds is 72500 kgm/s. Thus, the correct option is D.

Force is defined as the push or pull of an object. The force equals the product of mass and acceleration. The force also equals the ratio of change in momentum per change in time. The unit of momentum is kg.m/s.

From the given,

mass of the bus (m) = 6580 kg

force (F) = 14500 N

time taken (t) = 5 s

Change in momentum =?

Force (F) = Change in momentum/change in time

F = ΔP/Δt

F×Δt = ΔP

ΔP = 14500×5

     = 72500 kg.m/s.

Thus, the change in momentum (ΔP) = 72500kg.m/s.

Hence, the ideal solution is option D.

To learn more about Momentum:

https://brainly.com/question/24030570

#SPJ1