A 25.0 kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.250, and the coefficient of static friction is 0.350.
A) As α is increased, find the minimum angle at which the box starts to slip.
B)As this angle, find the acceleration once the box has begun to move
c) at this angle, how fast will the box be moving after it has slid a distance 4.7m along the loading ramp

Answers

Answer 1

(a) As σ is increased, The minimum  angle will be "19.2°".

(b) The acceleration will be "0.91 m/s²"once the box has began to move.

(c) The speed will be "3 m/s" as the box slid a distance 4.7 m along the loading map.

According to the question,

Mass = 25.0 kg

Kinetic friction = 0.25

Coefficient of static friction = 0.35

(a) We know,

⇒ static friction = mg sine

⇒ mg cosine * u = mg sine

then,

tan A = u = 0.35

a = 19.2

Therefore, as α is increased,  the minimum angle at which the box starts to slip is 19.2°.

(b) We know that:

Kinetic friction = mgCos19.2 * 0.25

                        = 2.31m

and,

Net force downwards = mgSin19.2 -  mgCos19.2* 0.25

By substituting the values, we get

                                        = m(3.22-2.31)

                                        = 0.91m/s²

Therefore, As this angle, the acceleration once the box has begun to move at 0.91 m/s².

(c) since the box is sliding at a distance of 4.7 meter:

Thus,

The speed will be:

→ [tex]v^{2} - u^{2} + 2as[/tex]

[tex]0 + 2* 0.91* 5[/tex]

= 9.21

[tex]v = 3m/s[/tex]

Therefore, at this angle, at 3m/s will the box be moving after it has slid a distance 4.7m along the loading ramp

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Related Questions

what is fl oz in l conversion?

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Fluid ounces (fl oz) and liters (L) are units of volume, with the former being more commonly used in the United States and the latter being more commonly used in most other parts of the world.

To convert from fluid ounces to liters, you can use the following conversion factor:

1 fl oz = 0.0295735 L

Volume is the measure of space occupied by an object or substance. It is expressed in different units depending on the system of measurement used. In the International System of Units (SI), the standard unit of volume is cubic meters (m³). However, in practical situations, other units are commonly used.

In the metric system, liters (L) and milliliters (mL) are used as units of volume. A liter is equal to one cubic decimeter (1 dm³), while a milliliter is one-thousandth of a liter. In the US customary system, fluid ounces (fl oz), cups (c), pints (pt), quarts (qt), and gallons (gal) are used. One fluid ounce is equal to 29.5735 milliliters, while one gallon is equal to 3.78541 liters.

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which kind of wave is created by moving a spring toy up and down?

Answers

Answer:

Longitudinal wave

Explanation:

Longitudinal waves go up and down. Transverse waves are compression waves.

A 0. 36-kg block rests on a frictionless level surface and is attached to a horizontally aligned spring with a spring constant of 48 n/m. The block is initially displaced 5 cm from the equilibrium point and then released to set up a simple harmonic motion. A frictional force of 0. 3 n exists between the block and surface. What is the speed of the block when it passes through the equilibrium point after being released from the 5-cm displacement point?.

Answers

The block moves at a speed of 40 m/s2 when it reaches the equilibrium point after being freed from the 5-cm displacement point.

What time of year is spring?

Indian culture considers the months of March and April to be the start of spring, with an average high temperature of about 32 °C. Ugadi, the springtime celebration of some Indians, is notably popular in the state of Karnataka.

What makes springs crucial to physics?

Springs play a crucial role in many complex physical systems because they provide as straightforward models for them. As you continue studying physics, you will see SHM repeatedly as it describes how things that behave like springs behave. the spring constant being denoted by k.

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What happens if you scan all the keepers in Mass Effect?

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If you scan all the keepers, players can gain a deeper understanding of the game's lore and the larger story arc that unfolds throughout the Mass Effect trilogy.

If you scan all the keepers in the original Mass Effect game, it will unlock an achievement called "Scholar". Scanning all the Keepers is not required to complete the main story or any side missions, but it provides additional lore and backstory to the game's world and its inhabitants.

In the game's story, Keepers are a type of insect-like creatures that maintain the Citadel, a massive space station that serves as the central hub of galactic civilization. Scanning each Keeper reveals additional information about their behavior and physiology, and also uncovers a hidden signal that is being transmitted by the Keepers. This signal is later revealed to be part of a larger plot involving the reapers, a highly advanced and ancient race of machines that periodically wipe out all organic life in the galaxy. The Keepers are revealed to be under the control of the Reapers, and their signal is a key part of their plan to launch a massive invasion of the galaxy.

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The Greek mathematician Eratosthenes made measurements to show the size of _______.A. the Sun B. the Moon C. Earth D. All of these

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The Greek mathematician Eratosthenes made measurements to show the size of Earth.

Eratosthenes is famous for his accurate calculation of the Earth's circumference, which he did using measurements of the Sun's angles of incidence at two different locations on Earth. He realized that the difference in the angles of incidence was due to the curvature of the Earth's surface, and he used this information to calculate the Earth's circumference with remarkable accuracy.

This was a significant achievement in the history of science, and it demonstrated the power of mathematical and observational methods in understanding the world around us.

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a mass is hanging from spring and vibrating. it is replaced by a mass which is twice as large and its amplitude is increased by a factor of two. what happens to the period of the pendulum?

Answers

The period of the pendulum will increase by a factor of √2 when the mass is replaced by a mass that is twice as large, but the amplitude is increased by a factor of 2.

The period of a simple harmonic oscillator, such as a mass hanging from a spring, is given by:

T = 2π√(m/k)

where T is the period, m is the mass, and k is the spring constant.

If we replace the original mass with a new mass that is twice as large, the period will change as follows:

T' = 2π√(2m/k)

where T' is the new period.

If we also increase the amplitude of the motion by a factor of 2, this will not affect the period of the pendulum. The period depends only on the mass and the spring constant, and is independent of the amplitude of the motion.

Therefore, the new period of the pendulum will be:

T' = 2π√(2m/k)

which is equal to the original period multiplied by the square root of 2.

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A small turbo-prop commuter airplane, starting from rest on a lansing airport runway, accelerates for 19. 0 s before taking off. Its speed at takeoff is 50. 0 m/s. Calculate the acceleration of the plane, in g's, assuming it remains constant.

Answers

The acceleration of the plane, assuming it remains constant, is 0.268 g's.

We can start by using the kinematic equation:

v = u + at

where:

v = final velocity = 50.0 m/s

u = initial velocity = 0 m/s (starting from rest)

a = acceleration

t = time = 19.0 s

Rearranging the equation to solve for acceleration:

a = (v - u) / t

a = (50.0 m/s - 0 m/s) / 19.0 s

a = 2.63 m/s²

To express the acceleration in units of g's, we can divide by the acceleration due to gravity:

a(g) = a / g

a(g) = 2.63 m/s² / 9.81 m/s²

a(g) = 0.268 g

Therefore, the acceleration of the plane, assuming it remains constant, is 0.268 g's.

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Electromagnetic radiation consists of particles called ______, each of which has a discrete amount, or quantum, of energy. However, since electromagnetic radiation also has wave properties, each particle is also characterized by a specific ___________ (m) and frequency (s⁻¹).a. Photons, Wavelengthb. Energy, Waves.c. Wave, Mass.d. Decreases, Less.

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If you think of electromagnetic radiation as a flow of massless particles called photons,

What is the name of the electromagnetic radiation subatomic particles, each of which has a specific quantity of energy termed a?

An electromagnetic wave makes up a photon, a small particle. They are both massless and chargeless. They can be compared to a tiny bag of light energy. A quantum, or discrete packet of gas or matter, is an example.

Are photons a component of electromagnetic waves?

a spectrum of electromagnetic waves. A stream of photons, each carrying energy and flowing at the speed of light, can be compared to electromagnetic radiation, as was stated in the handy guide on the electromagnetic spectrum.

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Which motor performs more work in the same amount of time- a 10 kW motor or a 20 kW motor? How much more work can it do?

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Answer:

20kw twice the work

Explanation:

Find the magnitude of the electrostatic force experienced by the positive charge.

Answers

The magnitude of the electrostatic force experienced by the positive charge is equal to the magnitude of the Coulomb force, which is given by F = k*|q1|*|q2|/r², where k is the Coulomb constant, q1 and q2 are the charges

What is the Coulomb ?

The Coulomb (symbol: C) is a unit of electric charge that is named after the French physicist Charles-Augustin de Coulomb. This unit is used to measure the magnitude of electric charge, electric potential, and electric field strength. It is equal to the charge of one electron, which is equal to 1.602 x 10-19 Coulombs of charge. The Coulomb is a fundamental unit in electrical engineering and physics and is used to calculate the force between two charged particles. It is also used to measure electrical capacitance and electric dipole moments.

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the earliest known measurement of the circumference of the earth used is called___

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The earliest known measurement of the circumference of the earth used is called ;  Eratosthenes' Method.

What is the measurement ?

The measurement is the process of determining the size, amount, or degree of something. Measurement can involve counting, weighing, or measuring physical characteristics such as length or volume. It can also involve observing or assessing behavior, or determining the amount or degree of something that cannot be physically measured, such as intelligence or happiness. Measurement is an important tool in many fields, including science, economics, engineering, and industry. Measurements are often used to compare different items or to track changes over time.

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The earliest known measurement of the circumference of the earth used is called ;  Eratosthenes' Method.

What is the measurement ?

The measurement is the process of determining the size, amount, or degree of something. Measurement can involve counting, weighing, or measuring physical characteristics such as length or volume.

It can also involve observing or assessing behavior, or determining the amount or degree of something that cannot be physically measured, such as intelligence or happiness.

Measurement is an important tool in many fields, including science, economics, engineering, and industry. Measurements are often used to compare different items or to track changes over time.

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An equipotential surface that surrounds a point charge, q, has a potential of 490V and an area of 1.1m^2. Determine q
I tried to solve for r using 1.1 = (pi) r^2....but I see that the cramster solution uses A= 4(pi)r^2. Where does 4(pi) come from?

Answers

The value of charge q on an equipotential surface that surrounds a point charge is calculated to be 12.52× 10⁻⁹ C.

The expression to find out electric potential at a distance r is given by,

v = k q /r

where,

v is electric potential

q is charge

r is distance

k is coulomb's constant (9 × 10⁹ Nm²/C²)

Electric potential is given as 490 V.

Area is given as 1.1 m². The expression for area is A = 4 π r².

Making r as subject, we have,

Radius r = √(A/4π) = √(1.1/4π) = √0.087 = 0.23 m

To find out charge, let us make q as subject,

q = v r / k = (490 × 0.23)/(9 × 10⁹) = 12.52× 10⁻⁹ C

Thus, the charge on an equipotential surface that surrounds a point charge is calculated to be 12.52× 10⁻⁹ C.

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A 4500-kg helicopter accelerates upward at 2. 0 m/s2. What lift force is exerted by the air on the propellers?.

Answers

The lift force is exerted by the air on the propellers is 53100 N

L = lift

W = weight

The term "force" has a clear definition in science. It is quite acceptable to refer to a force of this level as a push or a pull. An object does not "have in it" or "contain" a force. One thing is subject to a force from another. There is no distinction between living and non-living things in the concept of a force.

F = L - W = ma

L = ma + W = ma + mg = m(a + g)

L = (4500 kg) * (2.0 + 9.8) m/s^2 = 53100 N

Hence, lift force is exerted by the air on the propellers is 53100 N

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why did newton conclude that gravity has to be mutual and universal?

Answers

Newton concluded that gravity had to be mutual and universal because of his laws of motion. According to these laws, every action must have an equal and opposite reaction.

So, when an object attracts another object, the second object must also attract the first. This attraction must exist between all objects in the universe, thus making gravity mutual and universal.

Sir Isaac Newton's laws of motion, which were published in 1687, describe the motion of all objects in the universe.

The first law states that an object will remain at rest or move in a straight line unless an external force acts on it. The second law states that an object will accelerate when an external force acts on it.

From this, Newton concluded that if one object attracted another, then the second object must also be attracted to the first.

Therefore, Newton concluded that gravity was a mutual and universal force that acted between all objects in the universe.

He reasoned that since this force was mutual and acted on all objects, it must be the same force that kept the planets in orbit around the Sun.

This idea of universal gravity was revolutionary and changed the way people thought about the universe.

By demonstrating that all objects in the universe were subject to the same force, Newton showed that the universe was interconnected in a way that had never been seen before.

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Please match each term with it’s correct definition

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The terms are paired with their correct definitions as shown above.

Why is physics?Physics is the cornerstone of the other natural sciences (chemistry, geology, biology, astronomy) and is essential to understanding our modern technological society. At the heart of physics is a combination of experiment, observation and the analysis of phenomena using mathematical and computational tools

Given is to match the terms with the correct definition.

We can write the pairs as -

{ 1 } → { b }

{ 2 } → { f }

{ 3 } → { a }

{ 4 } → { d }

{ 5 } → { e }

{ 1 } → { c }

Therefore, the terms are paired with their correct definitions as shown above.

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How does the proportion of hydrogen and helium in the universe support the big bang theory?.

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According to extensive spectroscopic studies, it became clear that the hydrogen: helium ratio is proven to be 3:1. Along with the scarcity of other elements gives clues that supports Big Bang.

Before big bang all the atoms and molecules were dissociated and ionized. because the temperature was very higher. After Big Bang happened, the temperature falls down rapidly, and all ions fused to form atoms and molecules. Since the process was much faster protons and neutrons collided to form deuterium, Collision between deuterium and protons and neutrons occurred resulting in tritium and helium. A small amount of lithium was also formed. Formation of heavier atoms have not occurred because the process was rapid.

Almost all the matter were formed during this small time. Because of the rapid process hydrogen formed more constituting the 74% and helium next constituted 23-24%. All other elements were gradually formed during stellar evolutions. But still now the constitution of nuclear matter remains the same.

So the unchanging ratio supports the Big Bang theory.

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2. Arrange your magnet so that the hoop does the opposite of what it did previously (i.e., if it continued to move, make the hoop stop, and if it stopped, make it continue to move). How did the arrangement of the magnet differ in this case?

Answers

Answer:

Step-by-step explanation to arrange a magnet so that the hoop does the opposite of what it did previously:

1. Place the magnet on a flat surface.

2. Identify the direction that the hoop moved previously (i.e., whether it continued or stopped).

3. Turn the magnet so that the poles are facing in the opposite direction of the previous movement of the hoop.

4. Observe the new movement of the hoop and check if it is doing the opposite of the previous movement.

How did the arrangement of the magnet differ in this case? In this case, the arrangement of the magnet was different because the poles were faced in the opposite direction of the previous movement of the hoop. This change in the direction of the magnet's poles caused the hoop to move in the opposite direction.

22. A dry climate causes weathering to take place ____.
A. At the same rate as when the climate is wet
B. More rapidly if it is cold
C. More rapidly than a wet climate
D. More slowly than wet climate

Answers

Weathering happens more gradually in a dry climate than in a wet one.

How does the weathering process depend on the climate?

The amount of rainfall and the temperature can influence how quickly rocks weather. The pace of chemical weathering is accelerated by high temperatures and heavier rainfall. 2. Compared to comparable rocks living in cold, dry climates, rocks in tropical regions exposed to heavy rainfall and high temperatures weather far more quickly.

What impact do cold and dry have on weathering?

The pace of weathering will be the slowest in a cold, dry climate. The rate of weathering will be fastest in an area with a warm, humid climate. A warmer environment will support a wider variety of vegetation, and biological weathering will occur more quickly.

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the pressure indicated by the question mark is the __________.

Answers

The pressure indicated by the question mark is systolic pressure. Option 1 is correct.

Systolic pressure is the highest pressure exerted on the walls of the arteries when the heart contracts and pumps blood out into the circulatory system. During each heartbeat, the heart first contracts and pushes blood out of the left ventricle into the aorta, causing an increase in pressure within the arteries.

For instance, in a blood pressure reading of 120/80 mmHg, the systolic pressure is 120 mmHg. Systolic pressure can vary based on factors such as age, physical activity, stress, and overall health. High systolic pressure over time can damage blood vessels and increase the risk of heart disease, stroke, and other health problems.

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--The complete question is, The pressure indicated by the question mark is the __________.

a. systolic pressure

b. mean arterial pressure

c. pulse pressure

d. diastolic pressure--

Following are the four fundamental forces. Rank these forces from left to right based on their relative strengths between two protons located within the nucleus of an atom, from weakest to strongest.

Answers

Forces from left to right based on their relative strengths between two protons located within the nucleus of an atom, from weakest to strongest is Electromagnetism, Weak nuclear force, Strong nuclear force, Gravity.

The four fundamental forces are:

Gravity

Weak nuclear force

Electromagnetism

Strong nuclear force

When considering the strength of these forces between two protons located within the nucleus of an atom, the ranking from weakest to strongest would be:

Electromagnetism

Weak nuclear force

Strong nuclear force

Gravity

The electromagnetic force is responsible for the attraction and repulsion of charged particles, such as protons, and is the force that holds the positively charged protons together in the nucleus of an atom.

The weak nuclear force is responsible for the decay of subatomic particles and is much weaker than the electromagnetic force.

The strong nuclear force is responsible for holding the nucleus of an atom together and is much stronger than the weak nuclear force.

Gravity is the weakest of the four fundamental forces and is responsible for the attraction between massive objects, such as planets and stars. Its strength is negligible at the scale of subatomic particles.

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Question- Following are the four fundamental forces. Rank these forces from left to right based on their relative strengths between two protons located within the nucleus of an atom, from weakest to strongest.

Gravity; weak; electromagnetism; strong

A feather and a coin dropped in a vacuum fall with the equal
a) Momentum
b) Acceleration
c) Kinetic energy
d) Forces

Answers

In a vacuum, a feather and a coin will fall with equal acceleration, but not with equal forces, momentum, or kinetic energy.

What is kinetic energy?The drag force created by the air causes the feather to descend more slowly than the coin when there is air present. Both objects will descend with the same acceleration owing to gravity if there is no air present since there will be no air resistance.

Because the acceleration caused by gravity is constant, all objects in free fall will experience the same acceleration, which is around 9.8 m/s2, regardless of their mass. This implies that in a vacuum, the feather and the coin will descend at the same pace.

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what term is used to describe published studies that describe original experiments in science?

Answers

Since it focuses on measuring, analyzing, and testing hypotheses, primary literature descriptions of original study produced by the are occasionally referred to as empirical research.

What does scientific experimental evidence entail?

Observations made under controlled circumstances as opposed to through other forms of empirical study constitute experimental evidence. Researchers can deduce causes for a behavior they are studying thanks to experimental energy .

Which two sorts of experimental investigations are there?

True experiments and quasi-experimental designs are the two broad categories into which experimental research can be divided. Both designs call for the manipulation of the treatment; but, whereas real experiments also call for randomization, quasi-experiments do not.

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how much 8fl oz in ml?

Answers

The value 8 oz ≈ 236.588 ml.

There are 29.5735296 milliliters (ml) per ounce (oz). Therefore, the formula to convert oz to ml is as follows:

oz x 29.5735296 = ml

When we enter 8 oz into our formula, we get the answer to "What is 8 oz to ml?"

shown below:

8 x 29.5735296 = 236.5882368

8 oz ≈ 236.588 ml

An ounce is a unit of mass or weight that is commonly used in both the imperial and United States customary systems of measurement. One ounce is equivalent to 1/16 of a pound, or approximately 28.35 grams. In the US customary system, ounces are used to measure both solid and liquid substances, such as food ingredients, medications, and cleaning products.

Ounces are often abbreviated as "oz," and they can be divided into smaller units, such as fluid ounces (used to measure the volume of liquids) and troy ounces (used to measure the weight of precious metals like gold and silver). In some industries, such as the cosmetics industry, milliliters are often used instead of ounces. Understanding the concept of ounces is important in many areas of daily life, including cooking, baking, and shopping.

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If you were looking for exploding stars, which wavelength band would you likely like to observe?A.Exploding stars make mostly gamma-rays and X-rays, so I would observe these wavelengths.B. The false colors are usually used to represent variations in intensity. This technique allows us to visualize the structure of fainter details.C.The long wavelength of radio waves makes diffraction, and therefore the resolving power, much worse than for a visual light telescope. The solution to this problem is a larger dish, which gives better resolving power.D. No, I could not see.

Answers

Exploding stars make mostly gamma-rays and X-rays, so I would observe these wavelengths.

option A.

How does a star explode?

When a star explodes, it releases a large amount of energy in various forms, including light. This light can be observed across the electromagnetic spectrum, from gamma-rays and X-rays to visible light, infrared, and radio waves. However, the most energetic and powerful radiation emitted by an exploding star is typically in the form of gamma-rays and X-rays.

Gamma-rays have the highest energy and shortest wavelength in the electromagnetic spectrum, while X-rays have slightly lower energy and longer wavelengths. By observing these wavelengths, astronomers can detect the high-energy processes associated with the explosion, such as the acceleration of particles to near-light speeds and the emission of jets of matter and radiation.

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John throws a rock down with speed 14 m/s from the top of a 30-m tower. If g = 9. 8 m/s2 and air resistance is negligible, what is the rock's speed just as it hits the ground?.

Answers

We can use kinematic equations to solve this kind of problems. Here when the rock is thrown with an initial velocity of 14 m/s from a 30m high tower, the velocity with which the rock hits the ground is 28 m/s.

We can use the distance equation in kinematics to find the velocity when it reaches the ground.

v²-u² = 2aS

v is the final velocity

u is the initial velocity = 14m/s

a is the acceleration, here a= g = 9.8 m/s²

S is the distance travelled = 30 m

v² = u² + 2aS

v² = 14² + 2× 9.8× 30

v² = 784

v = √784 = 28 m/s

So the final velocity is 28 m/s.

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What planets are on the ecliptic plane?

Answers

The eight planets in our solar system, including Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, are on the ecliptic plane.

The ecliptic plane is defined as the imaginary plane in space that contains Earth's orbit around the sun. Since all of the planets in our solar system orbit the sun, they are also on this same plane. The planets' orbits are not perfect circles, but are rather slightly elliptical, meaning they can vary slightly from the ecliptic plane.

However, in general, the planets stay relatively close to the ecliptic plane as they orbit the sun. This is significant because it allows astronomers to make predictions and observations about the planets' movements and positions in the sky.

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Which of the following was part of the Challenger’s goals for their mission into space?


to measure distances between satellites orbiting above Earth


to film a documentary segment


to conduct routine repairs on the International Space Station


to initiate contact back to mission control via new communication devices

Answers

Answer:

"To film a documentary segment"

Explanation:

For me its option D, but as the answers are listed here it would be option B. I just took the quiz and got this question right. Have a great day! C :

A particle moves in uniform circular motion with a radius of 3cm. The net force radially acting on the object is 30N. If the mass of the object is 6kg, find;
The centripetal acceleration
The particles linear speed
The acceleration if the radius is doubled with changing the particles speed

Answers

Answer:

a = V^2 / r        centripetal acceleration

a = F / m       given F (radial) = 30 N

1)      a = 30 N / 6 kg = 5 m/s^2        centripetal acceleration

2) V^2 = a r = 5 m/s^2 * .03 m = .15 m^2 / s^2

V = .39 m/s

3) I assume "with" should read "without"  otherwise the question can't be answered

a = V^2 / (2 * r)         if the radius is doubled then the acceleration is halved

Light and Sound Waves Quick Check

How are mechanical waves defined? (1 point)

1. They are waves that require some form of matter as a medium.

2. They are waves that involve matter, rather than energy, moving from one place to another.

3. They are waves that are generated by humans, rather than naturally.

4. They are waves that are able to pass through a vacuum.

Answers

Mechanical waves can be defined as one whereby 1. They are waves that require some form of matter as a medium.

What is mechanical wave?

An oscillation of matter known as a mechanical wave is what is responsible for the transmission of energy via a medium. The transmission medium sets a restriction on how far a wave can travel. In this instance, there is almost little translational motion and the oscillating material rotates around a fixed point.

A mechanical wave is one whose energy cannot be transmitted via a vacuum. To transfer their energy from one place to another, mechanical waves need a medium. A mechanical wave is something like a sound wave.

Therefore, option 1 is correct.

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Answer:

1.

Explanation:

i did test

What is a very long solid nonconducting cylinder of radius

Answers

A very long solid nonconducting cylinder of radius is a three dimensional object that is cylindrical in shape and has a very large length in comparison to its radius. 

The cylinder is made of a nonconducting material which means that it does not conduct electricity. This type of cylinder can be used in a variety of applications such as insulating materials or structural support.. The radius of the cylinder refers to the distance from the center of the cylinder to its outer edge. The larger the radius: the greater the volume of the cylinder.

This means that a larger radius cylinder would be more useful in applications where a greater amount of material is required.

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what the metric system of measurement is based on the number? Aside from color, how are light silicates and dark silicate different, and why?A. Light silicates have a lower specific gravity because they have high iron and magnesium content, whereas dark silicates have a higher specific gravity because they lack iron and magnesium.B. Light silicates have a higher specific gravity because they lack iron and magnesium, whereas dark silicates have a lower specific gravity due to their high iron and magnesium content.C. Light silicates have a lower specific gravity because they lack iron and magnesium; dark silicates have a higher specific gravity because they have high iron and magnesium content.D. Light silicates have a higher specific gravity because they have high iron content; dark silicates have a lower specific gravity due to their magnesium content.E. 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Afterall, you have decided to play over and over again till you win.Now, let X be the random variable, "Amount of money you win."You are still betting on 23red, and each bet costs $1.If you lose, you lose your dollar.If you win, you get your dollar back and you get an additional $35 for winning.What is E[X]? how many arms does squid have suppose you have another picture that is 10 inches by 5 inches, and are now using a fancy paper that is 8.5 inches by 4 inches to frame the picture. again, the frame is to be uniform in thickness all the way around. no fancy framing paper is to be wasted!