In an rlc series circuit, the voltage amplitude and frequency of the source are 100 v and 500 hz, respectively, and , l = 0.20 h, and . (a) what is the impedance of the circuit?

Answers

Answer 1

The impedance of the series RLC circuit which have the voltage amplitude and frequency of the source as 100 v and 500 hz, respectively, and l = 0.20 h is 686 ohms.

What is impedance?

The opposition to alternating current presented by the combined effect of resistance and reactance in a circuit is called impedance.

Given,

Voltage (V₀) = 100 v

Frequency (f) = 500 Hz

Inductance (L) = 0.20 h

Angular frequency,

ω = 2πf = 2π(500) = 1000π rad.

Since there is no capacitor and resistance present in the circuit, the impedance will solely depends on the inductance.

Inductive reactance,

[tex]X_L = (w)(L) = (1000)(3.4)(0.20) = 628 ohms[/tex]

By equation,

[tex]Z = \sqrt{R^2 + (X_L - X_C)^{2} }[/tex]

[tex]Z = \sqrt{0 + (628 + 0) ^{2} }[/tex]

Z = 628 ohms.

Hence, the impedance of the circuit is 628 ohm.

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Related Questions

what is the magnitude of the electric force on an electron in a uniform electric field of strength 2490 n/cn/c that points due east?

Answers

The magnitude of electric force on an electron in a uniform electric field of strength 2490 n/c that points due east is 3.9 x 10^22 N/C as per calculated.

What is electric force?

The electric force present between the nucleus and the electrons is called as electric force.

This electric force can also be generally described as the repulsive or attractive interaction that is present between any two charged bodies.

Electric force is also defined as the attracting or repulsive interaction between any two charged things.

Electric force for any kind of electric field E for a point charge q can be formulated as:

F = q*e

The SI unit of electric field can be devised as volt per meter (V/m) or in other similar terms, newton per coulomb (N/C).

This electric force can be calculated via

F= qe

⇒ F= (1.6 x 10^-19) x 2490

⇒ F = 3.9 x 10^22 N/C

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Determine the magnitude of the projection of f along line ac. express this component as a cartesian vector.

Answers

The magnitude of the projection of f along line ac. express this component as a cartesian vector.

General Guidance

This problem is based totally on the idea of role vector, projection of vectors and dot product.

function vector: role vector suggests the region of a factor in a vector space in terms of the unit vectors in distinct directions.

Dot Product: Dot product is used for representing  vectors in scalar shape. it's also called as scalar product.

Projection of vectors-

The projection of a vector on every other vector is in reality understood as obtaining the shadow of the primary vector along the course of the second vector.

first of all, calculate the placement vector of the point C with regards to the point A. Use the expression for the projection of a vector to calculate the projection of vector.

The magnitude of the projected component of F along AC is

This component as a cartesian vector.

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A satellite in orbit decreases in speed but maintains the same angular momentum. how must the radius of the orbit change?

Answers

Answer:

The radius of the orbit must increase.

Explanation:

Superman used x-ray vision to detect objects. aside from detection of x-rays, what else would be needed for x-ray vision?

Answers

Superman used x-ray vision to detect objects.

You will want at least two components for x-ray detection/vision to function: an x-ray source and an absorber for x-ray.

It isn't vital for the aspect you need to peer to be the supply; it only needs to take in a number of the light. The medical expert will region your chest between the absorber and source whilst taking a chest x-ray. because the coronary heart can in part soak up mild, it'll seem whiter than the lungs, which are formed of air and cannot achieve this.

Making X-ray photographs is viable. now not within the realm of technology fiction. this is how it goes. X-rays can be created via directing high-velocity electrons at a metal surface. X-rays are equal to seen light, besides their wavelength is notably shorter (but they're nevertheless electromagnetic waves). but, X-rays engage with depend in a special way than seen mild due to the fact they have got a unique wavelength (and frequency). this implies that some substances are truly transparent, including human flesh. by using passing X-rays thru a person and placing an X-ray detector on the alternative side, you may utilize this technique to supply an X-ray photograph.

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A car starting from rest is accelerated at a constant rate of 3.0 meters per second^2. What
is its speed at the end of 8.0 seconds?

Answers

The car is accelerating at 3 m/s^2 for 8 seconds so at the end of 8 secs is traveling at:

3 x 8 = 24 m/s^2

average speed during the 8 seconds is 24 / 2 =12

8 secs x 12 m/s = 96 meters traveled.

distance = (((acceleration x time) / 2) x time)

Equations of motion are mathematical formulas that describe a body's position, velocity, or acceleration with respect to a certain frame of reference. The speed at the end of 8.0 seconds is 24 m/s.

The pace at which an object's velocity changes is known as acceleration. where an is the acceleration, v is the object's ultimate velocity, u is its starting velocity, and t is the amount of time that has passed. You can rearrange this equation to get v = u + at.

The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.

v = 0 + 3.0 × 8.0

v = 24 m/s

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consider a 50 kg cylindrical barrel resting on a wooden pallet. the pressure applied on the pallet by the barrel is 260 pa. what is the radius r of the barrel

Answers

The radius of the cylindrical barrel is 0.78 m.

Circular area of the cylindrical barrel

The circular area of the cylindrical barrel is calculated as follows;

P = F/A

A = F/P

where;

F is the applied force due to its weightP is pressure applied on the palletA is area of the cylindrical barrel

A = mg/P

A = (50 x 9.8) / (260)

A = 1.885 m²

Radius of the cylinder

A = πr²

r² = A/π

r = √(A/π)

r = √(1.885/π)

r = 0.78 m

Thus, the radius of the cylindrical barrel is 0.78 m.

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earth is located at one of the moon's orbit.target 1 of 6 2. according to kepler's second law, jupiter will be traveling most slowly around the sun when at .target 2 of 6 3. earth orbits in the shape of a/an blankaround the sun.target 3 of 6 4. the mathematical form of kepler's third law measures the period in years and the blankin astronomical units (au).target 4 of 6 5. according to kepler's second law, pluto will be traveling fastest around the sun when at blank.target 5 of 6 6. the extent to which mars' orbit differs from a perfect circle is called its

Answers

1. Earth is located at one focus of the Moon's orbit.

2. According to kepler's second law, jupiter will be traveling most slowly around the sun's aphelion

3. Earth orbits in the shape of a/an ellipse around the sun.

4. The mathematical form of Kepler's third law measures the period in years and the semimajor axis in astronomical units (AU).

5. According to Kepler's second law, Pluto will be traveling fastest around the Sun when at perihelion.

6. The extent to which Mar's orbit differs from a perfect circle is eccentricity.

What is kepler's second and third law?

Kepler's second law is a mathematical principle that states the distance between two objects in space is proportional to the square of their timescale of revolution. This means that as two objects orbit around each other, the further they will be from each other over time.

Kepler's Third Law is a scientific law that states the amount of time it takes for planets to orbit their star is inversely proportional to their distance from the sun.

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Yes! All orbiting objects adhere to Kepler's Second Law and other rules as well. Pluto moves more quickly when it is nearer the sun and less quickly when it is distant from it, much like every other object in our solar system.

What is Kepler's law of planetary motion?

In astronomy, Johannes Kepler's laws of planetary motion, which were written between 1609 and 1619, define the paths taken by planets as they round the Sun. The laws altered Nicolaus Copernicus' heliocentric theory, substituting elliptical trajectories for circular orbits and epicycles, thereby explaining the variation in planetary velocities. According to the three laws:

A planet's orbit is an ellipse with the Sun as one of its two foci.Equal areas are covered over equal times by a line segment connecting a planet and the Sun.The semi-major axis of an orbital system is related to the square of the planet's orbital period.

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mercury is about 0.4 au from the sun on average (40% of the earth-sun distance). according to kepler's 3rd law, a year on mercury (i.e., it's orbital period) is a year on earth.

Answers

A Year on mercury is less than 40% as long as a year on earth.

What is Kepler’s Third law?

According to Kepler's Third Law, the cubes of the semi-major axes of the orbits of the planets are directly proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius increases, so does the time of its orbit around the Sun. Thus, we learn that Mercury, the innermost planet, completes its orbit of the Sun in just 88 days. Saturn needs 10,759 days to complete the same task as the earth does in 365 days. Despite the fact that Kepler had no knowledge of gravitation at the time he developed his three laws, Isaac Newton used them to derive his theory of universal gravitation, which explains the mysterious force behind Kepler's Third Law.

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a honeybee leaves the hive and travels a total distance of 2 km before returning to the hive. what is the magnitude of the displacement vector of the bee? why?

Answers

displacement vector of the honeybee is  zero

displacement = final position - initial position

so the bee travelled from and returned back to home , so final and initial position is same

so the displacement vector will be zero.

displacement is defined as change in position is determined by thedistance and direction of an object from the starting point to the ending point.direction is shown by the arrow on a displacement  vectorup, down, left, right, forward, backward, toward, away from, north,south, east, or west are terms used to measure direction:meters (m)  is the SI unit for distance and displacement

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a rock takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s

Answers

rock that takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s with gravity 9.8 [tex]m/s^2[/tex], then the height of the tower is 12.8 m.

Motion under gravity

Acceleration under gravity is represented by the letter g and is 9.8 [tex]m/s^2[/tex]. We refer to this motion as motion under gravity. The whole mass of our Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in any kind of body.

The equations would be modified as follows when an object is falling freely under the force of gravity:

H = ut + ½ [tex]gt^2[/tex] and v = u + gt

[tex]V^{2}[/tex]= [tex]U^{2}[/tex] + 2gh

At the highest point,

V= U-gt

0= 8.2 - 9.8t

[tex]t_{1}[/tex] = 8.2/9.8

= 0.833

then we calculate [tex]h_{1}[/tex] = [tex]\frac{U^2}{2g}[/tex]

[tex]h_{1}[/tex] = 3.43 m

Then calculating for second half, when it is in free fall,

[tex]t_{2}[/tex] = 2.65-0.83

= 1.82

u=0 a =g and [tex]t_{2}[/tex] = 1.823

[tex]h_{2}[/tex] = 1/2 x 9.8 x [tex](1.82)^2[/tex]

=16.23 m

So, thus the exact height of the building = 16.23 - 3.43 = 12.8 m

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What is the ph of the solution obtained by mixing 30.00ml of 0.250 m hcl and 30.00 ml of 0.125 m naph?

Answers

The pH(power of hydrogen) of the solution obtained by mixing 30.00ml of 0.250 m hcl and 30.00 ml of 0.125 m naph is 1.2.

What is pH ?

In chemistry, the pH scale is used to define the acidity or basicity of an aqueous solution. Historically, pH stood for "potential of hydrogen." The pH values of acidic solutions are typically lower than those of basic or alkaline solutions.

The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.

molarity of HCl = moalrity * volume

= 0.250 * 0.030 L

= 0.0075 moles

Moles of NaOH = (0.125) * (0.030L)

= 0.00375 Moles

moles of H + in axcess = Moles HCl - Moles NaOH

= 0.0075 - 0.00375

= 0.00375 moles

total volume = 30 + 30 = 60 ml = 0.060L

[H+] = moles/ volume = 0.00375/0.060L = 0.0625 M

pH = - log [H+]

= - log [0.0625M]

pH = 1.2

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Progression is slowly increasing the demand placed on the body. true or false?

Answers

Yes, progression is slowly increasing the demand on the body and is necessary for development after a certain level has been achieved.

What is progression?

The process of Progressing your exercise is changing exercise so that it becomes more challenging to your body. A change in exercise prescription could mean changing the intensity of exercise making it more intense and increasing the duration of your exercise.

What is overload principle?

The overload principle states that the intensity with which an exercise is performed must be high enough above one's normal range for any desired physiological adaptation to occur.

The development of the muscles only take place after a certain level of stress beyond the usual capacity is applied on the muscles, causing the muscles of the body to stress and tear down.

With each tear in the muscles of the body the muscles gross strong as it heals.

This process is slow and required timely input making it sir in nature.

As body gets used to certain extend to the usual method of training the body's muscle development stops. Here comes the user of progression which involves intensifying the the usual method of exercise so that it becomes a challenge for the body to overcome.

Ultimately causing the development of strength in the muscles.

Hence, progression is slowly increasing the demand on the body and is necessary for development after a certain level has been achieved.

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You are driving a car, travelling at a constant velocity of 25m/s along a
straight road. When you see a child suddenly run onto the road. It takes
0.45s for you to react and apply the brakes. As a result, the car slow down
with a steady acceleration of 8.5m/s 2 . Find the distance?

Answers

The distance travelled by the car when the brakes were applied is 12.11 m

Data obtained from the question

The following data were obtained from the question:

Initial velocity (u) = 25 m/sAcceleration (a) = 8.5 m/s² Time (t) = 0.45 sDistance (s) =?

How to determine the distance travelled

The distance travelled can be obtained as follow:

s = ut + ½at²

s = (25 × 0.45) + (½ × 8.5 × 0.45²)

s = 11.25 + (4.25 × 0.2025)

s = 11.25 + 0.860625

s = 12.11 m

Thus, the distance travelled in 0.45 s by the car is 12.11 m

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how would you describe the kinetic energy of the particles in a solid? low kinetic energy high kinetic energy

Answers

Since they are tightly packed, solids vibrate in place and have the least kinetic energy.

The vibration and movement of the particles are accelerated by kinetic energy. Due to the liquid's relative higher kinetic energy, particles in it slide past one another.

Is the kinetic energy particles of a solid?

The kinetic hypothesis states that matter is made up of moving parts. Kinetic energy is what propels motion. The least kinetic energy is held by solid particles, while the most is held by gaseous particles.

The particles gather kinetic energy and accelerate as the temperature rises. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.

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which activity is best described as a scientific endeavor?

Answers

Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

A scientific endeavor builds scientific knowledge by postulating theories that explains any phenomenon. It might differ from what was already known as the truth. In a scientific endeavor, a problem is first identified, observations are made, hypothesis are created based on the observations and experiments are conducted to prove the hypothesis.

The other options manly focusses on developing devices and technologies to prevent or withstand hurricanes which are examples of engineering endeavors.

Therefore, Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

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How many 5-nucleotide dna sequences are possible?
a) 1024
b) 54
c) 16
d) 256
e) 64

Answers

1024 many 5-nucleotide dna sequences are possible

because its permutation and combination 5 !

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. These four nucleobases are necessary for a variety of cellular processes, such as the synthesis of amino acids, proteins, and cell membranes, as well as for moving the entire cell and its constituent parts.

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a parachutist with a camera, both descending at a speed of 10.8 m/s, releases that camera at an altitude of 44 m. (a) what is the velocity of the camera just before it hits the ground? (b) how long does it take the camera to reach the ground?

Answers

(a) The final velocity of the camera just before it hits the ground is 31.3 m/s.

(b) The time taken for the camera to reach the ground is 2.1 seconds.


Velocity of the camera before it hits the ground

The velocity of the camera before it hits the ground is calculated as follows;

v² = u² + 2gh

where;

v is the final velocity of the camerau is the initial velocityh is height of fallg is acceleration due to gravity

v² = 10.8² + 2(9.8)(44)

v² = 979.04

v = √979.04

v = 31.3 m/s

Time of motion of the camera

v = u + gt

31.3 = 10.8 + 9.8t

31.3 - 10.8 = 9.8t

20.5 = 9.8t

t = 20.5/9.8

t = 2.1 seconds

Thus, the final velocity of the camera just before it hits the ground is 31.3 m/s. The time taken for the camera to reach the ground is 2.1 seconds.

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Instant Practice-Stating a Hypothesis Write a hypothesis for each of the following situations. You may wish to use an "If...then..." format. For example: If temperature affects bacterial growth, then bacterial culture plates at a higher temperature will have more bacterial colonies than those at a lower temperature. 1. The relationship between temperature and the state of water 2. The relationship between types of atmospheric gases and global warming 3. The amount of time batteries last in different devices 4. The effect of the colour of flowers on honeybee visitations​

Answers

To better understand and treat caused diseases, a pure bacterial culture is still necessary for the research of its virulence, susceptibility to antibiotics, and genomic sequence.

Incubation time, nutrients, environment, and temperature were empirically changed in the early culture conditions before culture was increasingly replaced by molecular techniques. Microbiologists that specialize in intracellular bacteria were responsible for the resurgence of culture in clinical microbiology. An expansion of the archaea's repertory was made possible by the introduction of a new, adaptable media. However, among common bacterial diseases, the creation of axenic medium for the culture of Treponema pallidum or Mycobacterium leprae continues to be a significant obstacle that cultivators will be able to overcome with time and creativity.

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What is sherical aberration in mirror ?​

Answers

Answer: In optics, spherical aberration is an image imperfection that occurs due to the increased refraction of light rays that occurs when rays strike a lens or a reflection of light rays that occurs when rays strike a mirror near its edge, in comparison with those that strike nearer the centre.

Explanation:

In optics, spherical aberration (SA) is a type of aberration found in optical systems that have elements with spherical surfaces. Lenses and curved mirrors are prime examples, because this shape is easier to manufacture.

If the human ear could not detect differences in the amplitude of sound waves, people would not be able to detect differences in the?

Answers

People wouldn't be able to distinguish between differences in sound volume if the human ear couldn't detect variations in the amplitude of undulations.

What determines the amplitude of a sound?

The amplitude of a sound wave is the life of the peak of the wave. The amplitude of a sound wave is outlined because the loudness or the quantity of most displacement of moving particles of the medium from their mean position once the sound is produced.

Amplitude of Sound. The strength or level of sound pressure. The amount of molecules in the sound wave in b is greater than the amount within the undulation in a, thus the amplitude of the sound wave in b is larger.

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If the allele frequency for the recessive single allele that causes a particular rare hair color is 0. 02, how frequently would you expect the hair color to be present in humans?.

Answers

1 in every 2500 individuals would expect the hair color to be present in humans

At a specific genomic region, an allele is one of two or more variations of the DNA sequence (a single base or a segment of nucleotides). For each genomic region with such variation, an individual inherits two alleles, one from each parent. The person is homozygous for the allele if the two alleles are the same. The person is heterozygous if the alleles are distinct from one another. The term "allele" is used to refer to a gene's alternate form or variants. For each autosomal gene, one allele is inherited from each parent, and we often group the alleles into categories. Usually, we refer to them as normal, wild-type, aberrant, or mutant alleles.

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college physics two teams of seven members each engage in a tug of war. each of the first team’s members has an average mass of 64.0 kg and exerts an average force of 1427 n horizontally. each of the second team’s members has an average mass of 70.0 kg and exerts an average force of 1443 n horizontally. what is the acceleration of the two teams?

Answers

The acceleration of Team 1 and Team 2 are 22.3 m/[tex]s^{2}[/tex] and  20.6 m/[tex]s^{2}[/tex] respectively.

We have a game of tug of war between two teams.

We have to determine the acceleration of both the teams.

What is Force ?

Force is the product of mass and its acceleration for a moving body. Mathematically -

F = ma

According to the question, we have -

TEAM - 1 :

The acceleration of team 1 can be calculated as follows -

F(1) = m(1) a(1)

a(1) = F(1) / m(1) = 1427 / 64 = 22.3 m/[tex]s^{2}[/tex]

TEAM - 1 :

The acceleration of team 2 can be calculated as follows -

F(2) = m(2) a(2)

a(2) = F(2) / m(2) = 1443 / 70 = 20.6 m/[tex]s^{2}[/tex]

Hence, the acceleration of Team 1 and Team 2 are 22.3 m/[tex]s^{2}[/tex] and  20.6 m/[tex]s^{2}[/tex] respectively.

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name one similarity between Scientific Method and
CER

Answers

Answer:

a

Explanation:

A garden has a circular path of radius 50 m . John starts at the easternmost point on this path, then walks counterclockwise around the path until he is at its southernmost point.

Answers

John's displacement as he walks round the garden is 314 m counterclockwise.

What is displacement?

Displacement can be defined as the distance traveled  in a a specified direction.

To John's displacement, we use the formula below.

Formula:

D = 2πr.............. Equation 1

Where:

D = John's displacementr = Radius of the circular gardenπ = Pie

From the question,

Given:

r = 50 mπ = 3.14

Substitute these values into equation 1

D = 2×3.14×50D = 314 m counterclockwise.

Hence, John's displacement as he walks round the garden is 314 m counterclockwise.

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Which of the following terms best describes the average kinetic energy of a system? kinetic energy potential energy thermal energy temperature

Answers

The common kinetic energy of the device is quality described through the word temperature.

Kinetic electricity is the power that an object possesses because of its mobility from one location to another. In a comparable vein, a system's temperature measures the average amount of kinetic strength in motion. As a end result, as molecules pass (circulate) greater swiftly in a device, the gadget's temperature rises because of heat being absorbed and an growth inside the average kinetic energy of the device.

clearly put, the size of temperature is how warm or bloodless some thing is basically, a thermometer is used to measure an object's temperature, and its units are;

Fahrenheit (°F).Celsius (°C).Kelvin (K).

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how would you describe the kinetic energy of the particles in a solid? low kinetic energy high kinetic energy

Answers

The lowest kinetic energy so they vibrate very little option (A) Low kinetic energy is correct.

What is kinetic energy?

The initial energy controls the energy that an object possesses in response to the motion. The effort needed to move a material body from rest to the specified velocity is how it is defined.

The object's energy resulting from its location (potential energy) and its motion are both included in the mechanical energy (kinetic energy).

Thus, the lowest kinetic energy so they vibrate very little option (A) Low kinetic energy is correct.

How would you describe the kinetic energy of the particles in a solid?

Low kinetic energy High kinetic energy Same kinetic energy as a plasma Varying kinetic energy.

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A ball is dropped from a window 24M high how long will it take to reach the ground

Answers

Answer: 2.448 seconds

Explanation: it should take about 2.448 seconds, 2.45 if to nearest 100th, or 2.4 if to nearest tenth or just 2 seconds if rounded to the nearest whole number, earth's gravity is 9.8 m/s. 24 / 9.8 = 2.448979591.

If a migrating loon flies at an average speed of 19 m/s, what is its average speed in mi/hr?

Answers

Unit conversion is a way of converting some common units into another without changing their real value. The average speed of the migrating loon flies is 45.5019 miles/hr.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that migrating loon flies at an average speed of 19 m/s. Now, since 1 meter is equal to (1/1609.34) miles and 1 second is equal to (1/3600) seconds. Therefore, we can write the speed as,

[tex]\rm Speed = 19\ \dfrac{meter}{second}\\[/tex]

         [tex]=19 \times \dfrac{\frac{1}{1609.34}\rm\ miles}{\frac{1}{3600} \rm\ hours}[/tex]

         = 19 × (3600/1609.34) miles/hr

         = 42.5019 miles/ hr

Hence, the average speed of the migrating loon flies is 45.5019 miles/hr.

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A runner is jogging in a straight line at a
steady vr= 7.1 km/hr. When the runner is
L= 3.3 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 28.4 km/hr (4 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.

What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.

Answers

The cumulative distance the bird travels is 4.4 km.

Time of motion of the bird

The time of motion of the bird is calculated from the principle of relative velocity.

distance covered by bird - distance of runner = distance between them

vb_t - vr_t = d

(vb - vr)t = d

where;

t is the time of motion

(28.4 - 7.1)t = 3.3

21.3t = 3.3

t = 3.3/21.3

t = 0.155 hr

Distance traveled by the bird within this time

d = 0.155 hr  x 28.4 km/h

d = 4.4 km

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If 1 cup of cream having a density of 1005 kg/m3 is turned into 3 cups of whipped cream, determine the specific gravity and specific weight of the whipped cream.

Answers

The correct answer is 3.286 kN/m³ .

The ratio of the densities of two different objects or substances is known as specific gravity. The majority of the time, the definition of specific gravity is given as the ratio of the substance's density to the density of water. A substance will float on the surface of water if its specific gravity is greater than 1.

The formula to calculate the unit weight is,

γ=ρg

Here, g is the acceleration due to gravity, and ρ is the density.

mass of  cream did not change

Density of cream = 1005kg/m³

As 1 cup cream  becomes 3 cups,

Therefore,

hence  specific gravity or specific weight  we get m / 3V           ( since m is same but V changed to 3V)

m/V = 1005 kg/m3  

now,  m/3V  = ( 1/3) ( m/V) = ( 1/3) ( 1005 kg/m3) =   = 335kg/m³

Now, unit weight of the whipped cream;

= 335×9.81 = 3286.35N/m³

= 3.286 kN/m³

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