A new CFD method for determination of translational added mass coefficients of an underwater vehicle

Answers

Answer 1

A new CFD method for determination of translational is RANS simulations

What is CFD?

Using numerical analysis and data structures, the field of computational fluid dynamics (CFD) studies and resolves issues involving fluid flows. The computations necessary to model the fluid's free-stream flow and its interactions with surfaces constrained by boundary conditions (both liquids and gases) are done on computers. Better answers can be found using high-speed supercomputers, which are frequently needed to address the most challenging issues.

Five prominent CFD methods -

Finite Difference Method (FDM)Finite Volume Method (FVM)Finite Element Method (FEM)Lattice Boltzmann Method (LBM)Smoothed Particle Hydrodynamics (SPH)

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Related Questions

An astronomical telescope is designed with over magnification of 35x if the object has a focal length of 100 cm what should be the focal length of the eyepiece and how far should the eyepiece be from the objective

Answers

The focal length of eyepiece is 2.85.

It is given that astronomical telescope is designed with over magnification of 35.

The object has a focal length of 100 cm.

We need to determine the focal length of the eyepiece.

The formula to be used here is for astronomical telescope is:

[tex]m=\frac{f_{0} }{f_{e} }[/tex]

Using values here, we get

[tex]35=\frac{100 }{f_{e} }[/tex]

[tex]f_{e}=100/35=2.85[/tex]

Hence, the focal length of eyepiece is 2.85

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Select each of the following that are recessive alleles represented in the genotype AaBb. Check All That Apply AA BB aa bb

Answers

Option (c) and (d) are correct

a and b are the recessive alleles represented in genotype AaBb.

An allele is a different nucleotide sequence that codes for the production of a gene product at the same location on a lengthy DNA molecule.

Recessive Allele : A particular allele that, when present alone, has no effect on the person. The expression of the trait requires the presence of two copies of the allele.

Dominant Allele : A dominant allele is a gene variant that will result in a specific phenotype even when there are other alleles present.

Genotype - The genetic configuration that determines the features that an organism inherits from its parents is known as a genotype.

Phenotype - The term "phenotype" refers to an organism's observable physical characteristics, such as its appearance, growth, and behavior.

Hence (a) & (b) are the recessive alleles represented in the genotype AaBb.

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Using the criteria you described in your previous answer, how would you compare solar power to fossil fuel power?

Answers

Solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels

Solar power; however provides much more energy than fossil fuel powerInterestingly too, solar power resource can be used without releasing greenhouse gases compared to fossil fuels powerInfact, solar energy is the most reliable

What is renewable energy?

Renewable energy simply refers to energy that is not depleted when used. An example of such is solar power.

So therefore, solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels

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Describe the usefulness of frictional force when a soccer player runs with soccer boots

Answers

Frictional force provided by the teeth of the boots which are in contact with the grass in the soccer pitch enables the soccer player to start running and prevents him from slipping and falling.

What is friction?

Friction is the opposition to the relative motion of one object over another at their surface of contact.

Friction is a type of contact force as it requires between the two objects for its effect to be felt.

Friction has both advantages and disadvantages.

On of the advantages of friction is in the ability to walk or run. Friction between the ground and the foot or the boots of a person walking or running enables the person from slipping.

For example, when a soccer player runs with soccer boots, friction enables the runner to start running and prevents him from slipping and falling. The friction is provided by the teeth of the boots which are in contact with the grass in the soccer pitch.

In conclusion, friction enables a soccer player to start running and also prevents him from falling.

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A driver comes to a red light and applies her brakes to decelerate her car to a complete stop. The car’s brakes turned its kinetic energy into __________.

Group of answer choices

a. elastic potential energy

b. gravitational potential energy

c. thermal energy

d. electrical energy

Answers

c . Thermal energy I think

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y

Answers

The wavelength of the interfering waves is 3.14 m.

Calculation:

The general equation of a standing wave is given by:

y = 2A sin (kx) cos (ωt)                            ......(1)

The given equation represents the standing wave produced by the interference of two harmonic waves:

y = 3 sin (2x) cos 5t                                .......(2)

Comparing equations (1) and (2):

k = 2

We know that,

k = 2π/λ

λ = 2π/k

λ = 2 (3.14)/ 2

λ = 3.14 m

Therefore, the wavelength of the interfering waves is 3.14 m.

I understand the question you are looking for is this:

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?

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The light ray is now incident on a glass-air interface, with an angle of incidence in the glass of 45 degrees. What is the angle of light ray emerging from the glass into air

Answers

The ray will not emerge into the air medium from glass medium.

To find the answer, we need to know about the critical angle.

What's critical angle of glass?Critical angle of a medium can be determined from the relation as sinФ = 1/n, n = refractive index of that medium.As glass has refractive index of 1.5, so Critical angle = sin⁻¹(1/1.5) = 42 °Why does the light incident at 45° inside a glass not emerge to the air medium?As we got the critical angle of glass is 42°, so the light incident at 45° which is greater than 42° will reflect back into the glass medium instead of emergence into the air medium.

Thus, we can conclude that the light will not emerge into air medium.

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You look at a light source through a polarizer. As you turn the polarizer you see no change in intensity. Is the light emitted by this source polarized

Answers

No, the light emitted from the source is not polarized

Bypassing it through a polarizing filter or other polarizing substance, light can be made polarized. After passing through a polarizing filter, the intensity of polarized light I is equal to the original intensity I0 cos2, where I0 is the original intensity and is the angle formed by the polarization's direction and the filter's axis.

Unpolarized light is diminished by a factor of 12 when it travels through a polarizer. Along the polarizer's axis, the transmitted light is polarized. The only parameter that is unaffected by any phenomenon, including reflection, refraction, interference polarization, etc., is frequency. The polarization phenomenon has no effect on light frequency.



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Which of the following is an example of a primary source?

Answers

Answer:

An article written by a scientist .

Explanation:

Primary sources information are those that contain first  hand information probably from the place of the activities or by the original contact of the information (source ) .

So primary information is normally contained in artifact , journals , letter , dissertations manuscripts  , videos and audio recordings .

The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .

Consider the function e(h) = ε h h 2 6 m where m is a bound for the third derivative of a function. Show that e(h) has a minimum at p3 3ε/m

Answers

Since , e"(h) = M >0

hence ,  At p3 3ε/M  function e(h) has a minimum of function.

In mathematics, point at which the value of a function is less than or equal to the value at any nearby point (local minimum) or at any point (absolute minimum) or the minimum value of a function is the lowest point of a vertex

e(h) = ∈ /h +( [tex]h^{2}[/tex]/6) M

e'(h) = - ∈ /[tex]h^{2}[/tex] + (2h/6) M

putting , e'(h)  = 0

- ∈ /[tex]h^{2}[/tex] + (2h/6) M  = 0

h = [tex](3 /M)^{1/3}[/tex] *  (∈^(1/3))

e"(h) = 2∈ / [tex]h^{3}[/tex] + (2M)/6                          equation 1

substituting value of h in equation 1, we get

e"(h) = 2∈M / 3∈ + M/3

e"(h) = M >0

hence ,  At p3 3ε/M  function e(h) has a minimum

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Which kinetic chain checkpoint should be observed carefully because it controls the movement of the lower extremities? The hip The knee The shoulder The head and neck

Answers

The hip is the kinetic chain checkpoint which controls the movement of the lower extremities and is denoted as option A.

What is Hip?

This part of the body has a ball-and-socket joint and ensures adequate movement of the legs.

The legs and other parts such as ankle etc are referred to as the lower extremities thereby making it the most appropriate choice.

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What force would require an 8-kg bowling ball to accelerate at a rate of 5 meters per second squared(m/s^2)?

Answers

Answer:

87 kph

Explanation:

________ occurs when a person is holding an object that is directly hit or splashed by lightning.

Answers

Contact injury happens when a person is holding an object that is directly hit or splashed by lightning.

To find answer, we need to know more about the lightning and injuries.

What are the injuries caused by lightning?The phenomenon of natural electrical discharge happens in a short time with a bright flash is called lightning.It carries a huge amount of energy.The injuries caused by lightning can be classified as Direct strikes, Side splash and the Contact injury.Direct injuries happens when a person directly hit by lightning.Side splash occurs when a current splashes from a nearby object.Contact injury happens when a person touching an object that is hit by lightning.

Thus, we can conclude that, contact injury occurs when a person is holding an object that is directly hit or splashed by lightning.

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When someone is holding something that has been struck or splashed by lightning, contact damage occurs.

We need additional information concerning lightning and injuries in order to identify the solution.

What types of injuries are brought on by lightning?Lightning is the name for a natural electrical discharge that occurs quickly and with a dazzling flash.It has a tremendous amount of energy.Lightning-related injuries can be divided into three categories: direct strikes, side splashes, and contact injuries.When someone is struck by lightning directly, they can get direct injury.When a current splashes from a neighboring object, it is called a side splash.When someone touches a lightning-hit object, contact harm results.

In light of this, we can say that contact injuries happen when a person is holding an object that has been struck by lightning or splashed by it.

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To correct myopia (nearsightedness) requires ___________ lenses; to correct hyperopia (farsightedness) requires _____________ lenses to correct.

Answers

By using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

To find the answer, we need to know about Myopia and Hyperopia.

What is Myopia and Hyperopia?Myopia is an optical defect, in which a person can see nearby objects clearly and cannot see far off objects clearly.Here the eyeball becomes too longer, and the focal length of eye lens become too short.It can be corrected by using concave lens.For Hyperopia, the person can see far off objects clearly and cannot see nearby objects clearly.This can be corrected by using convex lens.

Thus, we can conclude that, by using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

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Myopia can be corrected using concave lenses, while the Hyperopia is corrected by convex lenses.

We need to be aware of myopia and hyperopia in order to locate the solution.

Myopia and hyperopia: what are they?Myopia is an optical defect in which a person can see clearly up close but not clearly far away.Here, the eyeball lengthens excessively and the eye lens focal length contracts.Concave lenses can be used to rectify it.A person with hyperopia can clearly see distant objects but cannot see nearby objects clearly.Convex lenses can be used to fix this.

Thus, we can deduce that myopia and hyperopia can be corrected using concave lenses and convex lenses, respectively.

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A 1.5 kg ballistic cart, moving at 2.8 m/s, ejects a 25 g ball vertically with an initial velocity of 6.5 m/s. What is the magnitude of the initial velocity of the ball relative to the ground?
a. 2.8 m/s
b. 9.3m/s
c. 7.1 m/s
d. 6.5 m/s

Answers

The magnitude of the initial velocity of the ball relative to the ground is 9.3 m/s.

What is relative velocity?

Relative velocity is the velocity of an object relative to another moving in the same plane. On frame of reference is used when measuring relative velocity.

The velocity of the ball relative to the ground  is the sum of the velocity of the ballistic cart and the velocity in which the ball is ejected.

The velocity of the ball relative to the ground = 6.5 m/s + 2.8 m/s = 9.3 m/s

In conclusion, relative velocity measures the velocity of an object from a reference point.

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What are the different mechanisms for transferring energy to or from a control volume?

Answers

The different mechanisms for transferring energy to or from a control volume is heat , work and mass .

According to the question

Definition of energy :

The basic definition of energy is capacity to do work.

Types of energy :

The energy can be of various types which can be- heat energy, internal energy, electrical energy, chemical energy and nuclear energy.

The transformation of energy :

The transformation of energy is the conversion mechanism of energy from one form to another. During the transformation process, some portion of the energy is converted into the useless form known as dissipation of energy .

The different mechanisms which transfer energy to or from control volume are:

1, heat

2 .work

3. mass.

Hence, the different mechanisms for transferring energy to or from a control volume is heat , work and mass .

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If a star appears to move relative to other stars over a one-year period, this motion is due to the star's: Doppler shift. radial motion. parallax shift. transverse motion. true space motion.

Answers

If a star appears to move relative to other stars over a one-year period, this motion is due to the star's true space motion.

What is the proper motion of stars?

Proper motion is the angular change in position of a star across our line of sight, measured in arc seconds per year, and symbolized with the letter  μ.

Proper motion is generally measured by measuring the movement of the image of a star with respect to more distant background stars over that time period.

Here we are told that star appears to move relative to other stars over 1 year period.

So we know that,

True space motion is the annual apparent motion of a star across the sky.

True Space Motion is Combination of radial velocity, proper motion, and distance.

Hence,

If a star appears to move relative to other stars over a one-year period, this motion is due to the star's true space motion.

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Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each:

Answers

Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each nucleotide is incorporated during synthesis.

Each nucleotide is marked with fluorescent dye, and a some traces of fluorescent intensities helps identify sequences.

What is nucleotide?

Nucleotides are organic compounds made up of a phosphate and a nucleoside.They function as monomeric units of the key macromolecules found in all living forms on Earth, deoxyribonucleic acid (DNA), and ribonucleic acid (RNA), which are both nucleic acid polymers. In addition to being produced by the liver from common nutrients, nucleotides can also be received through diet. A nucleobase, a five-carbon sugar (ribose or deoxyribose), and a phosphate group made up of one to three phosphates are the three component molecules that make up a nucleotide. Guanine, adenine, cytosine, and thymine are the four nucleobases found in DNA; uracil is used in place of thymine in RNA.On a fundamental, biological level, nucleotides are also essential to metabolism. They supply chemical energy throughout the cell in the form of the nucleoside triphosphates adenosine triphosphate (ATP), guanosine triphosphate (GTP), cytidine triphosphate (CTP), and uridine triphosphate (UTP).These are necessary for the synthesis of amino acids, proteins, and cell membranes as well as for moving the cell and its components (both internally and between cells), cell division, and other cellular processes.Nucleotides are also key cofactors in enzyme activities and take role in cell signaling (cyclic guanosine monophosphate, or cGMP, and cyclic adenosine monophosphate, or cAMP).

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A copper penny has a mass of 3.0 g. A total of 4.0 × 1012 electrons are transferred from one neutral penny to another. If the electrostatic force of attraction between the pennies is equal to the weight of a penny, what is the separation between them?

Answers

Answer:

F = K Q1 Q2 / R^2 = m g

Q1 = - Q2 = (4E12 * 1.60E-19) = 6.4E-7   coulombs

Q^2 = 4.10E-13

R^2 = 9.0E9 * 4.1E-13 / (.003 * 9.80) = 36.9E-4 / 2.94E-2

R^2 = .126

R = .35 m

F = K Q1 Q2 / R^2 = m g, Q1 = - Q2 = (4E12 * 1.60E-19) = 6.4E-7   coulombs Q^2 = 4.10E-13, R^2 = 9.0E9 * 4.1E-13 / (.003 * 9.80) = 36.9E-4 / 2.94E-2 R^2 = .126 and R = .35 m.

What is Electrostatic force?

Due to their electric charges, particles can be attracted to or repelled by electrostatic forces. This force is also known as the Coulomb force or Coulomb contact, and it was first described in 1785 by French physicist Charles-Augustin de Coulomb.

Over a distance of 10-16 meters, or roughly one-tenth the diameter of an atomic nucleus, the electrostatic force is present. While opposite charges attract one another, like charges repel one another.

For instance, two positively charged protons, two negatively charged electrons, or two anions all repel one another. Cation and anions, as well as protons and electrons, are all attracted to one another.

Therefore, F = K Q1 Q2 / R^2 = m g, Q1 = - Q2 = (4E12 * 1.60E-19) = 6.4E-7   coulombs Q^2 = 4.10E-13, R^2 = 9.0E9 * 4.1E-13 / (.003 * 9.80) = 36.9E-4 / 2.94E-2 R^2 = .126 and R = .35 m.

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Which of the following is correct? Multiple Choice When AP is rising, MC is falling, and when AP is falling, MC is rising. When MP is rising, MC is falling, and when MP is falling, MC is rising. There is no relationship between MP and MC. When MP is rising, MC is rising, and when MP is falling, MC is falling.

Answers

The statement which is correct is that when MP is rising MC is falling, and when MP is falling MC is rising and is denoted as option B.

What is MP?

This is referred to as marginal product and is referred as the extra output derived as result of additional inputs.

MC on the other hand is known as marginal cost and they have an inverse relationship such that when MP is rising , MC is falling and vice versa thereby making it the most appropriate choice.

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The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 3.40 cm, producing an angular acceleration of the forearm of 165 rad/s2. What is the moment of inertia of the boxer's forearm

Answers

Answer: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 3.40 cm, producing an angular acceleration of the forearm of 165 rad/s2. Then, the moment of inertia of the boxer's forearm will be 0.412Nm/rad/sec2.

Explanation: To find the correct answer, we have to know more about the moment of force or torque.

What is Torque?Torque is the measure of turning effect of a force.If the object rotates about an axis, then the perpendicular distance from the axis to the line of action of the force is called the lever arm.Torque is measured by the product of force and the lever arm.If r is the position vector of the point of application of force, then torque T is,

                        [tex]T=rFsin\alpha[/tex], where, [tex]\alpha[/tex] will be the angle between r and F.

Torque in terms of moment of inertia [tex]I[/tex] and the angular acceleration [tex]\beta[/tex] will be,

                                   [tex]T=I\beta[/tex]

                     Where,  [tex]I=r[/tex]×m

How to solve the problem?Given that,  

                  [tex]F=2*10^3N\\r=3.40*10^-2m\\\beta =165 rad/sec^2[/tex]

From the above equation of T, we can produce the equation of moment of inertia as,

                          [tex]I=\frac{T}{\beta } =\frac{rFsin\alpha }{\beta } \\where, sin\alpha =1.\\Thus,\\T=\frac{rF}{\beta } =\frac{68}{165} =0.412Nm/rad/s^2.[/tex]

Thus, we can conclude that, moment of inertia of the boxer's forearm will be, 0.412Nm/rad/sec².

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Two large parallel conducting plates are 9.0 cm apart and carry equal but opposite charges on their facing surfaces. The magnitude of the surface charge density on either of the facing surfaces is 3.7 nC/m 2. Determine the magnitude of the electric potential difference between the plates.

Answers

The magnitude of the electric potential difference between the plates is 37.63 V.

Given:

Distance between the plates, d = 9 cm

Surface charge density, ρ = 3.7 nC/m² = 3.7 × 10⁻⁹ C/m²

Calculation:

For two parallel plate conductors, the electric field is given as:

E = ρ/ε₀

where ρ is the charge density

           ε₀ is the permeability of free space

Applying values in the above equation we get:

E = ( 3.7 × 10⁻⁹ C/m²)/(8.85 × 10⁻¹² C²/m)

  = 418.08 V/m

Now, the potential difference between the plates separated by a distance 'd' is given as:

ΔV = Ed

where E is the electric field

           d is the distance of separation between the plates

Applying values in the above equation we get:

ΔV = (418.08 V/m) × (0.09 m)

     = 37.63 V

Therefore, the magnitude of the electric potential difference between the plates is 37.63 V.

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Rolls of aluminum foil are 304-mm wide and 0.016-mm thick. what is the maximum length of aluminum foil that can be made from 1.10-kg of aluminum, al? density of al = 2.70 g/cm3

Answers

Answer:

See below

Explanation:

The units in this question need to be all the same

Volume = L x W x H      where 'H' is thickness of the foil

1.10 kg = 1100 g

The volume given =   mass / density  =  1100 g / 2.70 g/cm^3=  407.407  cm^3

304 mm = 30.4 cm    .016 mm = .0016 cm

LWH = L * 30.4 cm  * .0016 cm    = 407.407 cm^3

L = 8375.97 cm     = 83.76 meters

The maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

By using the above formula for density

ρ = mass / volume

As given in the problem Rolls of aluminum foil are 304 mm wide and 0.016-mm thick.

the mass of the aluminum =  1.10-kg

mass = 1100 grams

the density of the aluminum = 2.70 g/cm3

density = 17/3

2.70 g/cm3 = 1100 grams /volume

volume = 1100/ 2.70

             =407.40 cm3

volume = width×thickness×length

407.40 cm3  = 30.4 ×.0016 ×length

length = 8375.97 cm

           = 87.76 meters

Thus, the maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.

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What will be the pressure exerted by the object if 5,000 N of force
area of 200 cm²?

Answers

Answer:

[tex]250000 \frac{n}{m {}^{2} } [/tex]

Explanation:

pressure is the force applied perpendicular to the surface area of an object per unit area.

for the question,

Force (F) = 5000N

[tex]Area = 200cm {}^{2} = 0.02m {}^{2} \\ Pressure = \frac{force}{area} \\ Pressure = \frac{5000}{0.02} \\ Pressure = 250000 \frac{n}{m {}^{2} } [/tex]

April stands on a flat surface . If she has a mass of 72 what is the nirmal force acting on her

Answers

The normal force acting on April as she stands on a flat surface is 705.6 N.

Normal force of the girl

Fₙ = mg

where;

Fₙ is the normal force of the girlm is mass of the girlg is acceleration due to gravity

Fₙ = 72 x 9.8

Fₙ = 705.6 N

Thus, the normal force acting on April as she stands on a flat surface is 705.6 N.

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An object placed 10.40 cm from a concave spherical mirror produces a real image 7.80 cm from the mirror. If the object is moved to a new position 20.0 cm from the mirror, what is the position of the image

Answers

The position of the image, if the object moved to new position 20.0 cm from the mirror is 5.7372 cm.

As per the lens equation,

[tex]\frac{1}{p1} +\frac{1}{q1} =\frac{1}{f}[/tex]

Since, p1 is the position of object initially, q1 is the position of the image initially and f is the focal length of the lens.

[tex]\frac{1}{10.4} +\frac{1}{7.8} =\frac{1}{f}[/tex]

[tex]0.0961+0.1282=\frac{1}{f}[/tex]

[tex]f=4.458[/tex] is the focal length of the given lens.

Then the object moved to second position of p2=20.0 cm from the mirror.

So, [tex]\frac{1}{p2} +\frac{1}{q2} =\frac{1}{f}[/tex]

[tex]\frac{1}{20} +\frac{1}{q2} =\frac{1}{4.458}[/tex]

[tex]\frac{1}{q2}=0.2243-\frac{1}{20}[/tex]

[tex]\frac{1}{q2}=0.1743[/tex]

Hence, q2=5.7372 cm is the new position of the image.

Initially, the object placed 10.40 cm from the mirror, then the image formed at 7.80 cm, then the object moved to 20.0 cm from the mirror, then the new image formed at 5.74 cm.

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6 latter word and it has a s and a I and it has mass (9.______________liquids, and gases all have mass.)

Answers

Answer:

Solids

Explanation:

Solids, liquids, and gases all have mass.

Which type of graph could be easily converted into a pie chart?
A. Variable plot
B. Scatter plot
C. Bar graph
D. Line graph

Answers

Answer:

D.Linegraph

Explanation:

Linegraph could be easily converted into a pie chart

Answer:

bar graph

Explanation:

a 1200 kg car rolling on a horizontal surfact has a speed of 25 m/s when it strikes a horizontal coiled spring and is brought ot rest in a distance of 2.5m. what is the spring constant of this spring

Answers

The required spring constant:

The spring constant of the spring is [tex]12\times 10^4 \text{ N/m}[/tex].

Calculation:

The mass of the car is m=1200 kg, the speed of the car is v=25 m/s, and after colliding the spring is brought to rest at a distance of x=2.5m. Let the spring constant of the spring is, k.

From the conservation of energy,

Total initial kinetic energy= Total final potential energy of the spring

Therefore,

[tex]\frac{1}{2}mv^2=\frac{1}{2}kx^2[/tex]

Now, substituting the values of the mass of the car, speed of the car, and displacement, we get:

[tex]$$\begin{aligned}1200\times(25)^2&=k\times (2.5)^2\\\Rightarrow k&=\frac{1200\times(25)^2}{(2.5)^2}\\&=12\times 10^4 \text{ N/m}\end{aligned}$$[/tex]

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7. A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
Determine the total mechanical energy possessed by the skydiver.
timore City Public fab

Answers

The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.

To find the answer, we need to know about the expression of kinetic energy and potential energy.

What are the expressions of kinetic energy and potential energy?Mathematically, kinetic energy= 1/2 × mass × velocity²Gravitational potential energy near the earth surface= mass × g × height on the earth surface

What's the kinetic energy, potential energy and total mechanical energy of the 78kg skydriver at 870 m on earth surface with 62 m/s velocity?Kinetic energy= 1/2 × 78 × 62² = 1.5 × 10⁵ JoulePotential energy= 78×9.8×870= 6.7× 10⁵ JouleWhat's the total mechanical energy?Mechanical energy= kinetic energy+ potential energy 1.5 × 10⁵ Joule + 6.7× 10⁵ Joule = 8.2× 10⁵ Joule

Thus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.

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