two cars are driving towards an intersection from perpendicular directions. the first car's velocity is 2 22 meters per second and the second car's velocity is 9 99 meters per second. at a certain instant, the first car is 8 88 meters from the intersection and the second car is 6 66 meters from the intersection. what is the rate of change of the distance between the cars at that instant (in meters per second)?

Answers

Answer 1

The rate of change of distance between the two bodies is -7m/s

Given:

The first car's velocity is 2m/s

The second car's velocity is 9m/s.

At a certain time, the first car is 8m from the intersection

And at the same time, the second car is 6m from the intersection.

The rate of change of distance, i.e dx/dt, which is the speed of the car.

Using Pythagoras' theorem, their distance apart is given as

Z²=X²+Y²

Z²=6²+8²

Z²=36+64

Z²=100

Z=√100

Z=10m

Let's assume the direction,

Let's assume the first car is moving in the positive x direction, then

dx/dt=2m/s

And also the second car will be moving in a negative y direction

dy/dt=-9m/s

Now, to know dz/dt, let's use the Pythagoras formulae above

x²+y²=z²

differentiate with respect to t

[tex]2dx/dt+2dy/dt=2dz/dt\\Divide through by 2\\dz/dt=dx/dt+dy/dt\\dz/dt=2-9\\dz/dt=-7m/s[/tex]

What is the Pythagorean theorem theory?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

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i need help please thanks

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DAHCEJG. FIB

About Holocene

in the Holocene era lived Homo sapiens or intelligent humans. Therefore, culture as a human creation experiences extraordinary development and progress.

About anthropocene

Etymologically, the word Anthropocene comes from the Greek word "anthropos" which means human. Human activities have become numerous and very intensive to the point of rivaling the great power of nature, which means that now humans have changed the order of the earth so that they become the main determining factor for natural motion,

Today, humanity has equaled or surpassed some of nature's great forces in changing the biosphere and many parts of the earth's system of functioning.

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When Two Point Charges Are 2.0 Cm Apart, Each One Experiences A 1.0-N Electric Force Due To The Other Charge. If They Are?

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When they are moved to a new separation of 8.0 cm, the electric force on each of them will be closest to 0.063 N.

Full question: When two point charges are 2.0 cm apart, each one experiences a 1.0-N electric force due to the other charge. If they are moved to a new separation of 8.0 cm, the electric force on each of them is closest to?

Given:

The point charges are initially at a distance of d = 2 cm.

The initial force experienced by them is F = 1 N.

The electrostatic force experienced by two charges q and Q is defined as,

                                     F = kqQ/d^2

Where

K is the constant and r is the distance between the charges.

The initial force experienced by them will be, F = 1N

Now, the final distance between the charges is changed to 8 cm which is equal to 4d.

So, the new force on the charges will be,

F = kqQ/(4d)^2 = 1/16 = 0.063N.

So, when they are moved to a new separation of 8.0 cm, the electric force on each of them will be closest to 0.063 N.

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EXERCISE 9 THE EVOLUTION OF BIPEDALISM: POSTURAL FEEDING Work in a small group or alone to complete this exercise In this lab, we considered several different explanations for the evolution of bipedalism. In this exercise, we will take a closer look at the postural feeding hypothesis. According to the postural feeding hypothesis, bipedalism evolved os on extension of existing upright feeding postures common among opes. If this hypothesis is correct, it would mean that bipedalism evolved initially to suit feeding from trees, rather than to s STEP 1 Review the data provided in the table below. (These data come from several different research studies, which were compiled by biological anthropologist Kevin D. Hunt. They provide a general sense of the pat- terns of posture and locomotion among living ape species.) Percentage of Posture That Is Suspensory Arm-Hanging Percentage of Posture That is Bipedal Standing Percentage of Movement that is Bipedal Walking Type of Primate Environment Papio anubis (baboon) Open forest/savanna 0.2 0.1 Hylobates syndactylus Siamang) Closed forest/dense tree cover 61.7 Closed forest/dense tree cover Pongo pygmaeus (orangutan) Pan paniscus (bonobo) Closed forest/dense tree cover Open forest/savanna Pan troglodytes (chimpanzee) STEP 2 Analyze the data and look for patterns. 1. In general, which primates engage in more suspensory arm-hanging the baboon or the apes? 2. Which two primates engage in the most suspensory arm-hanging? What environment do they live in? 3. Which primate engages in the most bipedal standing? What environment does it live in? 4. Which two primates engage in the most bipedal walking? What environment do they live in? STEP 3 Interpret the data, 5. Based on the patterns you identified above, do you think the ape lineage was more likely to become bipedal than the other primates? Why or why not? 6. Based on the patterns you identified above, is an open forest (or savanna) environment necessary for the evolution of bipedalism? Why or why not? 7. Do the data presented here support the postural feeding hypothesis? Why or why not?

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Step 2 Answer: Apes, in general, engage in greater suspensory arm-hanging than baboons. The most tense arm-hanging is between Siamang and an orangutan.

They reside in tight woodland/closed forest. Bonobo maintains the most bipedal posture. It dwells in a savanna/open forest setting. The most bipedal walking is done by baboons and chimps. They dwell in a savanna/open forest setting. Step 3's answer is: 5. Based on the trends observed above, it is impossible to say if the ape lineage was more likely than the other primates to become bipedal. According to the statistics, orangutans and siamangs participate in the most suspensory arm-hanging, whereas bonobos and baboons engage in the most bipedal standing and walking. It is impossible to draw any conclusions based on the patterns.

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Waves have energy that causes particles in matter to vibrate. So, it stands to reason that
Responses

the lower the energy, the faster the particles vibrate (which means a lower frequency).

the higher the energy, the slower the particles vibrate (which means a lower frequency).

the lower the energy, the slower the particles vibrate (which means a higher frequency).

the higher the energy, the faster the particles vibrate (which means a higher frequency).

Answers

The higher the energy, the faster the particles vibrate (which means a higher frequency).

option D

What causes the vibration of particles of a wave?

Waves like sound  wave is produced when an object vibrates, creating a pressure wave.

This pressure wave causes particles in the surrounding medium to have vibrational motion. As the particles vibrate, they move nearby particles, transferring energy between neighboring particles, creating a faster vibration as the energy transmitted increases.

Thus, we can conclude that, waves have energy that causes particles in matter to vibrate. So, it stands to reason that the higher the energy, the faster the particles vibrate (which means a higher frequency).

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What causes the apparent retrograde motion of the planets in the heliocentric model?

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A planet travelling more quickly than another catches up to and passes one that is moving more slowly in a heliocentric model.

What motion of the planets in the heliocentric model?

According to the heliocentric hypothesis, Mars only appears to travel backward as Earth passes it during its orbit around the Sun.

Retrograde motion is explained by the heliocentric theory as being brought on by the Earth and an outer planet, such as Mars, moving at the same time.

However, on occasion they appear to briefly stall in their eastward travel and then migrate westward (backwards) in front of the stars for a few months.

As evidenced by this demonstration, the Earth moves faster in its orbit and, in effect, catches up with Mars's slower motion.

Therefore, The motion seems to be going through a pro-retro-pro cycle as we close in on and then pass beyond the orbit of that planet.

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A planet travelling more quickly than another catches up to and passes one that is moving more slowly in a heliocentric model.

What motion of the planets in the heliocentric model?

According to the heliocentric hypothesis, Mars only appears to travel backward as Earth passes it during its orbit around the Sun.

Retrograde motion is explained by the heliocentric theory as being brought on by the Earth and an outer planet, such as Mars, moving at the same time.

However, on occasion they appear to briefly stall in their eastward travel and then migrate westward (backwards) in front of the stars for a few months.

As evidenced by this demonstration, the Earth moves faster in its orbit and, in effect, catches up with Mars's slower motion.

Therefore, The motion seems to be going through a pro-retro-pro cycle as we close in on and then pass beyond the orbit of that planet.

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is there any way to pull on your partner’s force sensor without your partner’s force sensor pulling back? Try it

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A force sensor is a device used to measure force or weight. Force sensors are commonly used in a wide range of applications, including scientific experiments, industrial processes, and athletic training.

It is not possible to pull on a partner's force sensor without the force sensor pulling back. This is because of the basic principles of physics, specifically Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In other words, when a force is applied to an object, the object will respond with an equal and opposite force.

In the case of a force sensor, if you try to pull on the sensor, the sensor will respond by applying an equal and opposite force back to you. This is what makes the force sensor work; it measures the force applied to it and then provides a measurement of that force in response.

In conclusion, it is not possible to pull on a partner's force sensor without the force sensor pulling back. This is due to the basic principles of physics and the fact that a force sensor measures force by responding with an equal and opposite force to the one being applied to it.

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On a day when the temperature is 30° Celsius, a cool drink is taken from a refrigerator whose temperature is 5º. If the temperature of the drink is 20° after 10 minutes, what will its temperature be after 35 minutes? Answer: 29 °C (whole number)

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The temperature of the drink will approach the room temperature as time passes. After 35 minutes, the temperature of the drink is likely to be close to the room temperature of 30° Celsius.

It's not possible to determine the exact temperature without additional information about the specific heat capacity and heat transfer rate of the drink and the surrounding environment. The rate of temperature change, can be affected by various factors such as the type of drink, the material of the container, and the surrounding environment. But an estimate of 29°C is reasonable based on the information given.

The temperature change of a substance over time can be modeled by the formula:

ΔT = k * t

where ΔT is the change in temperature, k is the cooling constant (representing how quickly the temperature decreases), and t is the time elapsed.

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g a high tension power line develops a net charge per unit length of 5.3 x 10-7 c/m when in use. (model this as an infinite linear charge.) what is the magnitude of the electric field on the ground a distance of 12 m from the wire?

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A high-tension power line develops a net charge per unit length of 5.3 x 10⁻⁷ C/m. The magnitude of the electric field on the ground at a distance of 12 m from the wire is 7.95×10² N/C.

Consider an infinitely long straight, uniformly charged wire. Let the linear charge density of this wire be λ. P is the point that is located at a perpendicular distance from the wire. The distance between point P and the wire is r. The electric field is due to infinite line charge, E=λ/2πε0r. The net charge per unit length,λ =5.3 x 10⁻⁷ C/m. The distance from the wire,r= 12m. The electric field due to infinite line charge, E=λ/2πε0r = 5.3×10⁻⁷×2×9×10⁹/ 12= 7.95 ×10² N/C.

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what is the mass (in centigrams) of silver atoms associated with a sample possessing exactly 10 trillion silver atoms? give answer in scientific notation.

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The mass of 10 trillion silver atoms is approximately 6.6 x 10^-7 grams.

To determine the mass of 10 trillion silver atoms, we need to know the atomic mass of silver. Silver is a chemical element with the atomic number 47 and its atomic mass is 107.87 amu (atomic mass units). One amu is equivalent to 1.66 x 10^-24 grams.

So, to find the mass of 10 trillion silver atoms, we need to multiply the atomic mass of one silver atom by the number of atoms:

mass = atomic mass * number of atoms

mass = 107.87 amu * 10^13 atoms

mass = 1.0787 x 10^-22 grams * 10^13 atoms

mass = 1.0787 x 10^-9 grams * 10^13 atoms

mass = 1.0787 x 10^4 grams * 10^13 atoms

mass = 1.0787 x 10^17 grams

mass = 6.6 x 10^-7 grams

So the mass of 10 trillion silver atoms is approximately 6.6 x 10^-7 grams.

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An ice hockey puck glides across frictionless ice. Part A Identify all forces acting on the object. Check all that apply. O Kinetic friction is O Weight O Thrust Fthrust O Normal force O Gravity Fc O Force of hockey stick Fho O Tension T

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An ice hockey puck glides across frictionless ice, the forces acting on it are: Weight, Gravity Fc, and Force of hockey stick Fho. Therefore, options B: Weight, E: Gravity Fc, and F: Force of hockey stick Fho are the correct answers.

The ice hockey puck is gliding across frictionless ice, so there is no kinetic friction acting on it. There is also no normal force acting on the puck since it is not in contact with any surface. However, there is a gravitational force acting on it due to the earth's gravity, and there could also be a force applied to the puck by a hockey stick.

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what four things did plato want to get rid of

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Plato wanted to get rid of four things in society - ignorance, poverty, disease, and injustice.

Plato was a Greek philosopher who lived between 427-347 BCE. He was a student of Socrates and a teacher of Aristotle. He is considered one of the most important figures in Western philosophy. Plato's philosophy is centered around his ideal Republic, which he describes in his book "The Republic".

In "The Republic", Plato argues that the ideal society must get rid of four things in order to be just and harmonious. The first is ignorance. Plato believed that ignorance was the root of all evil and that people needed to be educated in order to live virtuous lives. He argued that education should be provided to everyone, regardless of social class, and that it should focus on the development of virtue and wisdom.

The second thing that Plato wanted to get rid of was poverty. He believed that poverty was a major source of social unrest and that it prevented people from living good lives. He argued that the state should take care of its citizens by providing them with the basic necessities of life, such as food, clothing, and shelter.

The third thing that Plato wanted to get rid of was disease. He believed that physical health was essential to living a good life and that the state should take steps to prevent and cure diseases. He believed that the state should provide access to medical care and that it should invest in public health initiatives.

Finally, Plato wanted to get rid of injustice. He believed that justice was the cornerstone of a just society and that it should be upheld at all times. He argued that the state should have a system of laws that was fair and impartial, and that it should ensure that everyone was treated equally. He believed that the state should punish those who committed crimes and that it should ensure that everyone had access to the same opportunities in life.

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The Ptolemaic model of the Solar System has each planet moving along a ____________.
A) circular path around the Earth.
B) circular epicycle whose center, in turn, moves around the Earth.
C) circular path around the Sun.
D) circular epicycle whose center, in turn, moves around the Sun.
B) circular epicycle whose center, in turn, moves around the Earth.

Answers

The Ptolemaic model of the Solar System has each planet moving along a circular epicycle whose center, in turn, moves around the Earth.

Option B is correct.

The Ptolemaic model of the Solar System was an ancient model that was developed by the Greek astronomer Ptolemy in the 2nd century AD.

In this model, each planet was believed to move along a circular path known as an epicycle.

The center of each epicycle was in turn believed to move around the Earth in a circular path, with the Earth being at the center of the Solar System.

This model was widely accepted for over a thousand years and was considered to be a complete and accurate representation of the Solar System.

However, it was later discovered to be incorrect and was eventually replaced by the heliocentric model of Copernicus and later the laws of motion and gravitation developed by Isaac Newton.

Despite its errors, the Ptolemaic model remains an important milestone in the history of astronomy and science.

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10. Suppose the damping constant b of an oscillator increases. a. Is the medium more resistive or less resistive? b. Do the oscillations damp out more quickly or less quickly? c. Is the time constant increased or decreased? 11. a. Describe the difference between 7 and T. Don't just name them; say what is different about the physical concepts they represent. b. Describe the difference between 7 and t112. 12. What is the difference between the driving frequency and the natural frequency of an oscillator?

Answers

a. The medium turns out to be more resistive. b. The motions soggy out more rapidly. c. The time consistent declines.

a. The contrast between the damping proportion ζ (zeta) and the period T is that the damping proportion addresses the general strength of damping in an oscillatory framework, while the period addresses the time expected for one complete pattern of swaying to happen.

b. The contrast between the damping proportion ζ (zeta) and the damping time steady τ (tau) is that the damping proportion is a dimensionless worth that describes the strength of damping in an oscillatory framework, while the damping time consistent is a proportion of the time it takes for the plentifulness of a wavering to diminish to 1/e of its underlying worth.

The driving recurrence of an oscillator is the recurrence at which an outside force is applied to the framework to drive it into movement, while the regular recurrence of an oscillator is the recurrence at which the framework would sway whenever left undisturbed, i.e., the recurrence at which it answers most emphatically. As such, the normal recurrence is the inborn recurrence of the framework, while the driving recurrence can be unique and is subject to the outer powers following up on the framework.

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Determine the escape velocity of the Jupiter if its radius is 7149 Km and mass is 1.898 × 10 Kg

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The escape velocity of Jupiter is approximately 63,812.9 meters per second.

What is meant by escape velocity?

Escape velocity is the minimum velocity that moving body must have to escape from gravitational field of celestial body and move outward into space.

v_escape = √(2GM/R)

G is gravitational constant (6.67430 × 10^-11 N m^2/kg^2), M is mass of Jupiter (1.898 × 10^27 kg), and R is radius of Jupiter (7149 km or 7.149 x 10^6 m).

v_escape = √(2 x 6.67430 × 10^-11 x 1.898 × 10^27 / 7.149 x 10^6) = 63812.9 m/s

So, the escape velocity of Jupiter is approximately 63,812.9 meters per second.

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a postive point charge q and a small electric dipole are arranged with distances d and x as shown. find the exact formula for the total force exerted on the charge by the dipole

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Coulomb's law may be used to determine the overall force the tiny electric dipole applies to the positive charge q.

The force between two point charges is proportional to the product of the charges, according to Coulomb's law. The equation F = k * (q * p * cos) / d2 represents the overall force that the dipole applies to the charge q.

Where d is the distance between the charge q and the centre of the dipole, p is the dipole moment, is the angle between the direction of the dipole moment and the direction of the distance between the charge q and the centre of the dipole, and k is the Coulomb constant.

cosθ = x / d

As a result, the following is the final formula for the total force the dipole applied to the positive charge q:

F is equal to k*(q*p*x/d3).

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Start and Tony step onto the dance floor about 20. m apart at the Junior Prom and they feel an attraction to each other. If Tony's mass is 70. kg and Star's mass is 50. kg, assume the attraction is gravity and calculate its magnitude.​

Answers

The magnitude of the force of attraction between Star and Tony, given that they are 20 m apart is 5.84×10¯¹⁰ N

How do I determine the magnitude of the force of attraction?

From the question given above, the following data were obtained:

Mass of Tony (M₁) = 70.0 KgMass of Star (M₂) = 50.0 KgDistance apart (r) = 20 mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Magnitute of force of attraction (F) =?

Applying the Newton's law of universal gravity formula, we can obtain the magnitude of the force of attraction between Star and Tony as illustrated below:

F = GM₁M₂ / r²

F = (6.67×10¯¹¹ × 70 × 50) / 20²

F = 0.00000023345 / 400

F = 5.84×10¯¹⁰ N

Thus, from the above calculation, we can conclude that the magnitude of the force between them is 5.84×10¯¹⁰ N

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When does the sun orbit closes to sagittarius a*?

Answers

The sun takes 230 million years to complete a single revolution about Sagittarius A*.

What is a black hole? What is gravitational singularity?A black hole is a region of spacetime where gravity is so strong that nothing, including light or other electromagnetic waves, has enough energy to escape its event horizon.A gravitational singularity, spacetime singularity or simply singularity is a condition in which gravity is so intense that spacetime itself breaks down catastrophically.

Given is that sun orbit closes to Sagittarius A*.

Everything in our 13.6 billion-year-old galaxy orbits Sagittarius A*, including our solar system, which is located 26000 light years away.It takes the solar system about 230 million years to complete a single revolution. The solar system's orbit isn't a smooth path, though.

Therefore, the sun takes 230 million years to complete a single revolution about Sagittarius A*.

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At the gym, a woman lifts 40 kilograms of weights on the leg press machine. It takes her 0. 5 seconds to raise the weights a vertical distance of 0. 4 meters. How much power does the woman generate when lifting the weights?.

Answers

The power applied by the woman on 40 kg mass is 313.6 W

Mass lifted by the woman, m = 40 kg

Height of the mass h = 0.4 m

Time taken for lifting the mass, t = 0.5 s

Work done by the woman is given by: W = m.g.h

Work done = W = 40 x 9.8 x 0.4

Work done = 156.8 J

Now let's calculate the power delivered by the woman which is

P = W/t

P = 156.8/0.5 = 313.6 watts

Thus, the power applied by the woman is 313.6 W.

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What happens when light energy bends as it passes from one type of substance to another type?
a. absorption c. refraction b. reflection d. transmission

Answers

"Refraction" happens when light energy bends as it passes from one type of substance to another type. Therefore, option c is the correct answer.

What is Refraction?

Refraction is the bending of a light wave as it passes from one type of substance to another type. Refraction occurs as a result of changes in density and speed. For instance, light slows down as it enters water from air. When light travels through a fast medium and into a slow medium, the light beam is refracted, which causes it to bend in the direction of the boundary between the two media.

Refraction bending allows us to have lenses, magnifying glasses, peepholes in house doors, cameras, prisms, rainbows, movie projectors, and telescopes. Even our eyes rely on this light bending. We wouldn't be able to concentrate light onto our retina without refraction.

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a person on a roof stands at such a height so that the ball has 140 j of gravitational potential energy. the person then drops the ball. ignoring air friction, with how much kinetic energy does the ball hit the ground?

Answers

Ignoring air friction, the ball with a gravitational potential energy of 140 joules hit the ground with a kinetic energy of 140 joules. Yes, both the potential energy and the kinetic energy are the same.

Mechanical energy is defined as the sum of kinetic and potential energies. The equation for mechanical energy is Em = K + U, where Em is the mechanical energy, K is the kinetic energy, and U is the potential energy.

Kinetic energy is also known as the energy of motion. To find the kinetic energy of an object, we can use the formula K = 1/2mv², where m is the mass and v is the velocity.

Potential energy is the energy that is stored in an object because of its position. One type of potential energy is gravitational potential energy. The formula for it is U = mgh, where m is the mass, g is the acceleration due to gravity and h is the height.

The mechanical energy of a closed system is conserved over time. This is because of the conservation of energy. Assuming a closed system, the potential energy of the ball must be equal to the kinetic energy since the energy is conserved.

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When information is encoded in atoms/molecules, the reproduction costs is ___ than it would be if the information were encoded in bits. lower None of these higher

Answers

When information is encoded in atoms/molecules, the reproduction costs is nothing than it would be if the information were encoded in bits.

What is Molecule

Molecule is: a combination of two or more atoms that come from the same or different elements. If the atoms of the same element are joined, it is called a molecular element (eg 02 or oxygen).

If the joining of atoms of different elements, then it is called a compound molecule (Example: C02 or carbon dioxide). If the smallest particles of metallic elements are atoms, then the smallest particles of non-metallic elements can be atoms, or they can also be molecules.

For example, the noble gas group elements (VIIIA) are composed of atomic particles. The halogen group elements (VIIA) are composed of molecules of elements.

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What is the relationship between electric field magnitude just outside a conductor, and the charge density on the surface of the conductor?

Answers

Answer:The divergence of the electric field at a point in space is equal to the charge density divided by the permittivity of space.

Explanation

The magnitude of the electric field just outside a charged conductor is proportional to the surface charge density σ. (just a cylinder) through the surface of the conductor, then using what we've just discovered: – E = 0 inside a conductor.

how many milligrams (mg) is this in 171 kg.

Answers

171 kg is equal to 171,000,000 milligrams (mg).

You must multiply the kilogramme to milligramme conversion factor, which is 1 kilogramme = 106 milligrammes. To accomplish this, merely multiply the kilogrammes by 106:

171 kg * 106 mg/kg = 171,000,000 mg

Consequently, 171 kg is equal to 171,000,000 milligrammes (mg).

A milligramme (mg) is a unit of mass that is one thousandth of a gramme in the metric system. It is usual practise to measure the mass of relatively small objects, such as medications and other pharmaceuticals, as well as the quantity of other chemicals added to food and drink, using milligrammes. In scientific notation, as well as in a number of printed and electronic communication formats, the abbreviation "mg" is also used to denote milligrammes.

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How many grams are in 1 mole?

Answers

Avogadro's number, or about 6.022 x 1023 particles, is the unit of measurement for the amount of a substance that makes up one mole.

What is mole?

A substance's atomic or molecular weight in grammes is equal to the mass of one mole of the substance.

Chemistry counts the amount of atoms, ions, or molecules in a compound using the mole concept. The mole is a helpful unit of measurement for converting a substance's mass in grammes from its number of particles.

For instance, a mole of water molecules weighs 18 pounds while a mole of carbon atoms weighs 12 kg.

As a result, the mole is a key idea for comprehending the quantitative parts of chemistry and is employed in many different chemical computations.

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Maddie is on the weightlifting team at her school. She must lift as much weight as possible from the ground to a straight up standing position. How much work will maddie do if she uses a force of 6 n to lift 150 kg of weight to a height of 1. 5 m?.

Answers

The work done by Maddie to lift the weight of 150kg to a height of about 1.5 meters by a force of 6N is 9 Joules.

What is Work done?

Work is the energy which is transferred to or from an object through the application of force which is along the direction of the displacement. For a constant force aligned with the direction of motion, the work done by the object equals to the product of the force strength and the distance traveled by that object.

Work done = f × s

f = force applied,

s = distance or displacement of the object

W = 6 × 1.5

W = 9 Joules

Therefore, the work done by Maddie is 9 Joules.

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Two masses m and 2m approach each other along a path right angle to each other. After collision they stick together and move off at 2m/s at angle 37° to the original direction of the mass m what where the initial speed of the two particles?

Answers

The initial speed of the mass "m" object is 4.79 m/s, while the initial speed of the mass "2m" object is 1.81 m/s.

the two masses' initial motional speed

Applying the law of conservation of linear momentum, the two masses' initial speed is determined as follows: m1u1 + m2u2 = v(m1 + m2).

Angle between the two masses is equal to 90 degrees if m is in the horizontal direction and 2m is in the vertical direction.

What do starting and final speeds mean?

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

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On the taxi Check, the magnetic compass should
A. swing opposite to the direction of tirn when turning from north.
B. Exhibit the same number of degrees of dip as the latitude
C. Swing Freely and indicate known headings

Answers

The magnetic compass on the cab should swing freely and display known headings.  Hence, the correct option is (C).

A magnetic compass on a taxi check (an aviation pre-flight inspection) should swing freely, meaning it should not be influenced by any metallic or magnetic objects, and indicate accurate headings. The compass should be checked to see that it is functioning properly and aligned with the aircraft's heading during the taxi check. The magnetic compass is an important navigation tool for pilots, and it is essential that it is functioning correctly before takeoff.

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what is the magnetic flux through the loop when it is tilted at a 60 ∘∘ angle?

Answers

The tilt angle and magnetic field intensity affect the magnetic flux passing through the loop.

Given these variables, the magnetic flux can be calculated using a mathematical expression.

The number of magnetic field lines that travel through a specific surface is measured by magnetic flux. The magnetic field is tilted at an angle of 60 degrees with regard to the loop's plane in this situation, and the surface is a loop. The strength of the magnetic field and the tilt angle must be known in order to compute the magnetic flux. With this knowledge, it is possible to calculate the magnetic field line density on the loop, which is inversely proportional to the magnetic flux.

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what is the color of lava when it is at its hottest?
a. Crimson
b. Orange
c. Yellow
d. red

Answers

The color of the lava when it is in its hottest state will be b) orange color.

The color of lava depends on temperature. Starts bright orange (1000-1150 C). On cooling, the color changes from bright red (800-1000 °C), then dark red (650-800 °C), to brownish red (500-650 °C). Solid lava will be black (but can still be very hot). The hottest lava that exists today is called "mafic" and is the type that contains mineral compounds that melt at the highest temperatures. An electric blue flame that looks like lava. Despite the name, this phenomenon is actually a sulfur fire that resembles the appearance of lava rather than actual lava from a volcanic eruption.

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When the bicycle passes point A, it has a speed of 9m/s, which is increasing at a rate of v'=0.2m/s^2. Determine the magnitude of its acceleration when it is at point A.

Answers

When a bicycle is at point A and travelling at a speed of 9 m/s, its magnitude increases at a rate of v' = 0.2 m/s2, or by 0.2 m/s2.

The rate at which velocity changes in relation to time is known as acceleration, and it is a vector quantity that has both magnitude and direction. The bicycle's acceleration at point A in this scenario is equal to 0.2m/s2, as the bicycle's velocity is rising at a constant rate of 0.2m/s2. Accordingly, the bicycle's speed is growing by 0.2 m/s every second and will keep doing so until a net force intervene to slow it down or stop it.This data gives a snapshot of the bicycle's motion at a particular moment in time (when it passes point A). By integrating the acceleration and using the kinematic equations of motion, which relate velocity, magnitude, position, and time, it would be possible to calculate the bicycle's future velocities and positions.

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