a bat emitts a sonar sound wave (343 m/s) that bounces off a mosquito 8.42 m away

Write an expression for the x-component of acceleration of the given velocity field as a function of x, y, z, and/or t.

v={4yti-2xtj}m-s

We frequently wish to know an object's acceleration vector at any point along its trajectory in addition to its displacement and velocity vectors. This acceleration vector, which represents the instantaneous acceleration, may be found by taking the velocity function's derivative with respect to time, as we saw in the previous chapter. The fact that these are now vector quantities is the only variation in two or three dimensions. The same approach that was demonstrated in the previous chapter for one-dimensional motion can be used to tackle multidimensional motion with constant acceleration. As we previously demonstrated, motion in three dimensions is comparable to motion in three one-dimensional space along axes that are all perpendicular to one another.

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The resultant of the forces is 29 N. Option D

The resultant force is the force that acts in a given direction. Now we have two forces as enumerated in the question.

Thus;

Resultant = √(10)^2 + (20)^2 - [2 * 10 * 20 * cos (60 - 30))

Resultant = 29 N

Thus, the resultant of the forces is 29 N.

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Missing parts;

Two forces of magnitude 10N and 20N act on a body in directions making angles 30° and 60° respectively with x-axis what is the resultant force

A.17N

B. 19N

C. 23N

D. 29N

E. 37N​

The evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.

The high-mass stars are celestial bodies that exhibit a high level of luminosity and lived for short periods of time.

Conversely, low-mass stars are small and cool stars that lived for a long period of time.

In conclusion, the evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.

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Power require in Watts is 50 watts

Given:

Force = 30 N

Distance = 100m

Time for which force applied = 1 min = 60 sec

To Find:

Power

Solution: A watt is a unit of power. It is the amount of energy an item needs to function; the rate at which energy is consumed. One watt is equivalent to electricity flowing at a rate of one joule (unit of energy) per second

P = W/t

where W is work done by force and t is the time for which force is applied

W = F x d

W = 30 x 100 = 3000

P = 3000/60 = 50 watts

So Power require in Watts is 50 watts

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It turns out that the star in question belongs to the K5V star class. Thus, the surface temperature of this must be between 5200 K and 3700 K. It has a surface temperature of 6200 K to 5200 K and is a G2V class star, commonly known as Bernard's star. In other words, the star in question has a colder surface than HIP 87937. This is further explained below.

Generally, The temperature at a surface is referred to as the surface temperature. In particular, it may refer to the surface air temperature, which is the temperature of the air that is relatively close to the earth's surface.

In conclusion, The star in question is of the K5V type. Therefore, the temperature of the surface of this must be somewhere between 5200 and 3700 kelvin. The star with the designation HIP 87937, often known as Bernard's star, is of the G2V type. Stars of this type have a surface temperature that falls anywhere between 6200 and 5200 degrees Celsius. Therefore, it should come as no surprise that the surface temperature of the given star is lower than that of HIP 87937.

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Answer: It is hotter because K is before M

Explanation:

The actual surface temperature of this star is 4600 KK compared to 3100 KK for the M4 star in Parts A and B.

The membrane is depolarized compared to the resting membrane potential.

Through conformational changes from closed, nonconducting states to an open, current-conducting state, membrane depolarization activates sodium channels. Na+ channels open slowly and change from an open state to a nonconducting, rapidly inactivated state as a result of delayed openings, which contribute to the declining fraction of INa induced by prolonged depolarization. Additionally, sodium channels can move swiftly from the closed state to the fast-inactivated state. When the membrane is depolarized, inactivated channels are prevented from opening.

The distribution of channels between the closed and slow-inactivated states, however, limits the number of excitable sodium channels as a function of the membrane potential since slow inactivation acts at greater negative potentials than fast inactivation.

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An example of a solid that sunlines is a billboard.

A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements

So therefore, an example of a solid that sunlines is a billboard

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First electric circuit means, the circuit has elements like resistors, capacitors, and inductors along with sources. Any electric circuit comprises nodes, branches, and meshes.

The joining point of two elements is called a node. The element between two nodes is called a branch. In branch, only one series element is possible to connect but in parallel, it can have N number of elements. No branch without elements in electric circuits.

A resistor is an electrical aspect that limits or regulates the go with the flow of electrical modern-day in a digital circuit. Resistors can also be used to offer a selected voltage for an energetic device together with a transistor.

The resistor is described as. A passive electrical issue with two terminals that can be used for both limiting or regulating the glide of electric contemporary in electric circuits. the main cause of the resistor is to lessen the modern-day go with the flow and to lower the voltage in any unique part of the circuit.

A resistor works by using proscribing the float of current, it may try this in one in all 3 approaches: first off, by using a much less conductive cloth, secondly by making the conductive fabric thinner, and sooner or later by making the conductive fabric longer.

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Answer:

Need quiet to concentrate

Are reflective

Are self-aware

Take time making decisions

Feel comfortable being alone

Don’t like group work

Prefer to write rather than talk

And maybe even feel tired after being in a crowd

Explanation:

The impulse generated by the rocket is 15000 Ns

Solution:

Mass of the rocket = 465kg

Velocity of the rocket = 75m/s

Time taken = 30s

Impulse = [tex]I = F \Delta t[/tex]

[tex]I = \int F(t)dt[/tex]

Impulse so generated is equal to the area of triangle

I = [tex]\frac{1}{2} \times 30\times1000[/tex]

I = 15000 Ns

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The horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.

The component form of the velocity of the airplane includes both horizontal and vertical velocity and it is calculated as follows;

Vx = V cosθ

Vy = V sinθ

where;

θ = 170 - 90 = 80⁰

Vx = 495 mph (cos 80)

Vx = 85.96 mph

Vy = 495 mph (sin 80)

Vy = 487.5 mph

Thus, the horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.

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The particle moves parallel to the field

The particle is at rest.

If the magnetic field is uniform and the magnet dipoles are identical (apart from one being north pole and the other south pole) this two forces cancels out.

A uniform magnetic field is a magnetic field that has the same magnitude and direction throughout the region under consideration, thus the field lines need to be both parallel and spaced out evenly.

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When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit.

Segment bending is a technique for bending conduit in which numerous tiny bends are combined to form a single, bigger bend.  Measure from the elbow's center at the bend's CenterPoint to the intersection of the "degrees of bend" lines to determine your centerline radius (see image above). In fact, the CLR may be determined by obtaining this measurement from any point on the elbow. The distance between segments is calculated by dividing the developed length by the number of shots. When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit. To calculate the degrees per shot, divide 90 degrees by the quantity of shots. Regardless of how many lanes a road or highway has, centerline miles are used to quantify their length. Centerline of conduit miles between the two sides of a divided highway might differ slightly due to divergences and curves. Compared to lane miles, centerline miles provide a more understandable indication of a road's overall length.

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To produce a maximum emf of 1.0 V, the angular speed should rotate at 35.368 rad/s.

A uniform magnetic field is depicted by parallel straight lines that are distributed uniformly. The flux path is the same as the path of a tiny magnet's north-seeking pole. The flux channels are continuous, producing closed loops.

For a single loop of wire with a radius of 7.5 cm that rotates about a diameter in a uniform magnetic field of 1.6T. We need to determine the angular speed of rotation for it to produce a maximum electromotive force (emf) of 1.0 V.

Given that:

The radius = 7.5 cm, to convert it to meters, we will divide it by 100.

= (7.5/100) m

= 0.075 m

The area A of the wire is computed by using the formula:

A = πr²

A = π(0.075)²

A = 0.01767 m²

Imagine a coil with N turns with area A rotating at a constant angular velocity (q) inside a flux density of a (B) of a magnetic field, with its axis parallel to the field.

The maximum e.m.f can be computed by using the formula:

[tex]\mathbf{E_o = BAN \omega}[/tex]

Where;

Making the angular speed (ω) the subject of the formula, we have:

[tex]\mathbf{\omega =\dfrac{E}{BNA}}[/tex]

ω = 35.368 rad/s

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The charge on the particle is 5.6 × 10⁻¹¹ C.

The magnitude of an electric field produced by a charge is given by:

                                                 E = q/ 4πε₀r²

where,

E = electric field

q = charge

r = distance

1/4πε₀ = 8.99 × 10⁹ Nm²/C²

Given,

E = 2.0 N/C

r = 50 cm = 0.5 m

To find,

q =?

Put the values in the above equation:

E = q/ 4πε₀r²

q = E (4πε₀r²)

q = 2.0 × (0.50²)/ 8.99 × 10⁹

q = 5.6 × 10⁻¹¹ C

Therefore, the particle has a charge of 5.6 × 10⁻¹¹ C.

The physical field that surrounds each electric charge and acts to either attract or repel all other charges in the field is known as an electric field. Electric charges or magnetic fields with different amplitudes are the sources of electric fields.

I understand the question you are looking for is this:

A charged particle produces an electric field with a magnitude of 2.0 N/C at a point that is 50 cm away from the particle. What is the magnitude of the particle's charge?

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Lamp Wattage is utilized with a CU of 0.75 and 80 percent of the available light reaches the work surface, the remaining 20 percent is absorbed by walls and other objects in the space, resulting in an illumination level of 50 f-c over a 100 ft2 area

The term "lumen" refers to the emission of "luminous flux," which is a measurement of the total amount of visible light emitted by a source in a certain amount of time. The illumination level over a 100 ft2 area will be 50 f-c Lamp Wattage with a CU of 0.75 used, with 80 percent of the available light reaching the work surface and the remaining 20 percent being absorbed by walls and other objects in the room.
Total Lamp Wattage = Number of Lamps X Wattage of Each Lamp.
The fixtures' total wattage is 2 x 32, or 64 watts.
Lumen per Fixtures equals Lumen Efficiency (Lumen per Watt) times the Watt of each Fixture
85x 64 = 5440 lumens per fixture.

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The rate of change of the current in the larger inductor is 0.3mA/s.

To find the answer, we need to know about the relation between the emf and inductance.

Thus, we can conclude that the rate of change of the current in the larger inductor is 0.3mA/s.

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The new natural frequency would be ω/2.

we know that,

[tex]f = \frac{1}{2 pi \sqrt{LC} }[/tex] = ω.       -> equation 1

now, when capacitance is quadrupled,

[tex]f' = \frac{1}{2 pi \sqrt{L ( 4C )} }[/tex]

[tex]f' = \frac{1}{2 pi (2)\sqrt{LC} }[/tex].           -> equation 2

substituting value of equation 1 in equation 2 , we get,

[tex]f' = \frac{w}{2}[/tex]

Hence, the new natural frequency of the circuit is ω/2.

what do you mean by frequency ?

The resonant frequency for a particular circuit is the frequency at which this equality stands true. Where L is the inductance in henries and C is the capacitance in farads, this is the  LC circuit's resonant frequency.

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The gravitational potential energy will increase by 423.36 J

PE = mgh

PE₁ = 72 × 9.8 × 0

PE₁ = 0 J

PE = mgh

PE₂ = 72 × 9.8 × 0.6

PE₂= 423.36 J

Change in potential energy = PE₂ - PE₁

Change in potential energy = 423.36 - 0

Change in potential energy = 423.36 J

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Answer: Cindy's eye exam reveals that the reason she cannot get a sharp focus is that she has Astigmatism, an uneven curvature of the cornea or lens that prevents a sharp focus of an image on her retina.

Explanation: To find answer, we need to know more about the Astigmatism.

Thus, from the above explanation, we can conclude that, the reason she cannot get a sharp vision is due to Astigmatism.

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The force require to keep grouper submerged is 8.207N.

According to Archimedes principle  buoyant force of any object must equal to weight of fluid it displaced.

The expression for the force exerted to stay submerged in salt water is

           F = F(b) - w(fish)

 where F(b) = buoyant force

              w(fish) = weight

      now substitute w(b) for F(b)

   →  F = Vρg - w(fish)

where  V = volume of sea water

             ρ = density of sea water

Now by Archimedes principle   V = m(fish)  / ρ(fish)

    →    F = (m(fish) / ρ (fish) ) ρg - m(fish)g

           F =   (85 kg/1015 kg-m^-3) (1.025× 10³ kg-m^-3) (9.8 m/s^2)

                                  -   (85kg)  × 9.8 m/s^2

           F = 841.207N - 833N

           F = 8.207 N

  Hence, the force require to keep grouper submerged is 8.207N.

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The correct option  is D.

The three lowest-pitch tones generated by this pipe have wavelengths of = 2 L, L, 2 L/3

Measuring a wave's size from one peak to the next is all that is required. The wavelength is only the separation between the crests of the successive waves, if one thinks of a sound wave as being similar to a water wave.

The length of a pipe with an opening at either end and a length l is given by:

[tex]l=\frac{n \lambda}{2}[/tex]

or

[tex]\lambda=\frac{2 l}{n}[/tex]

Initial pitch tone: n = 1.

[tex]\lambda_{1}=2 l[/tex]

The first pitch tone has n = 2

[tex]\begin{aligned}\lambda_{2} &=\frac{2 l}{2} \\\lambda_{2} &=l\end{aligned}[/tex]

The initial pitch tone has n = 3.

[tex]\begin{aligned}&\lambda_{3}=\frac{2 l}{3} \\&\lambda_{3}=\frac{2 l}{3}\end{aligned}[/tex]

The three lowest-pitch tones generated by this pipe have wavelengths of 2 L, L, and 2 L/3, respectively.

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I understand that the question you are looking for is :

Consider a pipe of length L that is open at both ends. What are the wavelengths of the three lowest-pitch tones produced by this pipe?

Answer

A. 2L, L, L/2

B. 2L, L, L/2

C. 4L, 2L, L

D. 2L, L, 2L/3

E. 4L, 4L/3, 4L/5

The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 *  [tex]10^{-2}[/tex] nm

If the object is moving towards or away from us with some radial velocity, shifts can be observed in the location of the absorption

since, material is moving towards us  a shift to shorter wavelength will be observed

shift = rest wavelength * ( radial velocity / speed of light )

        = 656 * [tex]10^{-9}[/tex] * (250 * [tex]10^{3}[/tex]  / 3 * [tex]10^{8}[/tex] )

        = 54.67 *  [tex]10^{-2}[/tex] nm

The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 *  [tex]10^{-2}[/tex] nm

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In ptolemy's system the planets orbit the earth and not the sun ,  the system explain the retrograde motion of planets like jupiter as planets move on two sets of circles, a deferent and an epicycle. It held that the planets moved along small circles that moved on larger circles around Earth, and that the combined motion sometimes resulted in backward motion.

Retrograde motion, in astronomy, actual or apparent motion of a body in a direction opposite to that of the (direct) motions of most members of the solar system or of other astronomical systems with a preferred direction of motion.

Retrograde motion is an apparent change in the movement of the planet through the sky. It is not real in that the planet does not physically start moving backwards in its orbit. It just appears to do so because of the relative positions of the planet and Earth and how they are moving around the Sun.

Claudius Ptolemy , argued that planets move on two sets of circles, a deferent and an epicycle. This explained retrograde motion while keeping the planets in their circular orbits around the Earth.

It held that the planets moved along small circles that moved on larger circles around Earth, and that the combined motion sometimes resulted in backward motion.

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The age of a man whose normal blood pressure measures 123 mm of hg

9 years

A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = a[tex]x^{2}[/tex] + bx + c, where a, b, and c are numbers and a cannot be 0

P(A) = 0.006 [tex]a^{2}[/tex] - 0.02a + 120

123 = 0.006- 0.02a + 120

0=0.006 [tex]a^{2}[/tex] - 0.02a - 3

you can use the quadratic equation  formula to solve for the man's age.

A = (-b ± ([tex]\sqrt{b^{2} - 4*a*c}[/tex])  ) / (2a)

A = (0.02 ±  [tex]\sqrt{(-0.02)^{2} - 4*0.006*(-3)}[/tex]/ (2*0.006)

A = (0.02 ± [tex]\sqrt{0.0076}[/tex]) / 0.012

A = 9 , -5.67

Age of the man will be 9 years

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If the maximum emf of the ac generator is 20 V and the maximum potential difference across the resistor is 16 V Then the maximum potential difference across the inductor is 4 V.

Calculation:

Step-1:

It is given that the RL circuit is connected to a 20 V ac generator. The maximum potential difference across the resistor is 16 V. It is required to find the maximum potential drop across the inductor.

Step-2:

The maximum emf of the generator is equal to the sum of the maximum potential difference across the resistor and the maximum potential difference across the inductor.

Therefore,

The maximum potential difference across the inductor + Maximum maximum potential difference across the resistor = Maximum emf of the generator

Thus,

Maximum maximum potential difference across the inductor + 16 V = 20 V

Therefore,

Maximum maximum potential difference across the inductor = 20 V - 16 V = 4 V

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The amount of work done during the lifting process is 4465.125 J and our average power will be 42.525 W.

Given:

Depth of the well, h = 22.5m

Mass of heavy-duty steel chain, M = 17.9 kg

The combined mass of the water and bucket, m = 11.3 kg

time taken to raise the bucket out of the water, T = 1.75 min = 105 s

Calculation:

Consider that the center of mass of the steel chain is at the midpoint of the depth of the well.

Now, the work done during the lifting process can be calculated as:

W.D = (Work done in lifting bucket filled with water) + (work done to lift    

                                                                                              the steel chain)

W.D = mgh + Mg (h/2)      -( 1 )

where g is the acceleration due to gravity

Applying values in the above equation we get:

W.D = mgh + Mg (h/2)

       = (11.3 kg)(9.8 m/s²)(22.5 m) + (17.9 kg)(9.8 m/s²)(22.5 m / 2)

       = 2491.65 + 1973.475

       = 4465.125 J

We know that the average power is given as:

P_avg = W.D / T     - ( 2 )

where W.D is the work done during the lifting process

            T is the time taken to raise the bucket out of the well

Applying values in the above equation, we get:

P_avg = W.D / T

           = (4465.125 J)/(105 s)

           = 42.525 W

Therefore, the amount of work done during the lifting process is 4465.125 J and our average power will be 42.525 W.  

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Answer:

[tex]\huge\boxed{\sf F= 350 \ N}[/tex]

Explanation:

Considering pivot as the central point,

Key:

[tex]F_1r_1=F_2r_2[/tex]

Here,

Substitute the givens in the above formula.

[tex]F(1.2)=600(0.7)\\\\F(1.2)=420\\\\Divide \ 1.2 \ to \ both \ sides\\\\F=420/1.2\\\\F= 350 \ N\\\\\rule[225]{225}{2}[/tex]

A kettle was tested for its energy efficiency. Its power rating was 900 W. Over the course of 4 minutes and 30 seconds, its useful energy output was 0.05 kWh

Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.

Thermal energy, radiant energy, chemical energy, nuclear energy, electrical energy, motion energy, sound energy, elastic energy, and gravitational energy are among the several types of energy.

The ability to perform tasks is referred to as energy. Formula. Potential energy is the energy that an object has stored because of its position and height, and it may be calculated using the following formula: P.E. equals mgh.

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Answer: Velocity can best be described as, the speed in a given direction.

Explanation: To find the answer, we need to know more about the Velocity of a body.

Thus, we can conclude that, the option C is best describing velocity.

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The speed in a certain direction is the best way to define velocity.

We need to learn more about a body's velocity in order to locate the solution.

As a result, we can say that choice C best captures velocity.

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