You are skateboarding at a speed of 9.04 m/s when you start to go down a hill. The change in height from the top of the hill to the bottom of the hill is 38.8 meters. Calculate how fast you will be going at the bottom of the hill in units of m/s. [Ignore any effects of friction and air resistance. Assume you are passively riding the skateboard (not pushing). The gravitational acceleration is 9.8 m/s2. ]

Answers

Answer 1

You are skateboarding at a speed of 9.04 m/s when you start to go down a hill. The change in height from the top of the hill to the bottom of the hill is 38.8 meters.You will be going at a speed of approximately 27.59 m/s at the bottom of the hill.

To calculate the final speed at the bottom of the hill, we can use the principle of conservation of energy. At the top of the hill, the energy is in the form of potential energy, given by:

Potential Energy = mass × gravity × height

At the bottom of the hill, the potential energy is converted into kinetic energy, given by:

Kinetic Energy = 0.5 × mass × velocity^2

Since no energy is lost due to friction or air resistance (as mentioned in the question), the potential energy at the top of the hill will be equal to the kinetic energy at the bottom of the hill. Therefore, we can equate these two expressions:

mass × gravity × height = 0.5 × mass × velocity^2

Simplifying the equation by canceling out the mass:

gravity × height = 0.5 × velocity^2

Solving for velocity:

velocity^2 = (2 × gravity × height)

velocity = √(2 × gravity × height)

Plugging in the given values:

gravity = 9.8 m/s^2

height = 38.8 m

velocity = √(2 × 9.8 × 38.8)

velocity ≈ √(760.96)

velocity ≈ 27.59 m/s

Therefore, you will be going at a speed of approximately 27.59 m/s at the bottom of the hill.

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Related Questions

You are looking through a physicicst's laboratory notebook and notice two number for the friction between a block of wood and a laboratory bench. The numbers are 8 N and 11 N. Which refers to static friction and which refers to kinetic friction?

Answers

The static friction is 11N and kinetic friction is 8N  between a block of wood and a laboratory bench.

Static friction is a force opposing relative movement and it happens at the connection point between the bodies, yet additionally inside the bodies, as in the event of liquids. The idea of friction coefficient was first formed by Leonardo da Vinci. The extent of the coefficient of still up in the air by the properties of the surfaces, environmental elements, surface highlights, presence of the oil, and so on.

Kinetic friction is characterized as a force that demonstrations between moving surfaces. A body continuing on a superficial level encounters a force the other way of its development. The extent of the force will rely upon the coefficient of motor grinding between the two materials.

We know that static friction is the maximum force applied by the body,so here 11N is the maximum force,so static friction value will be 11N and kinetic friction value will be 8N.

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What can always be said about a negatively-charged ion?
A negatively-charged ion always has more neutrons than protons
A negatively-charged ion always has more electrons than protons
A negatively-charged ion always has more protons than electrons
A negatively-charged ion always has more protons than neutrons

Answers

Answer: A negatively-charged ion always has more electrons than protons

Explanation:

First, we know that the elementary negative charge is the electron, while the positive one is the proton. Such that both have the same charge in magnitude, but a different sign. Such that if we have the same number of electrons and protons in an atom, the charge of this atom will be neutral.

And an ion is an atom with a different number of electrons and protons, so the charge of the atom is not neutral.

Then if we have a negatively-charged ion, the charge of this atom is negative. Then we must have a larger number of electrons (the negative ones) than protons (the positive ones)

Then the correct option is:

A negatively-charged ion always has more electrons than protons

Based on the data provided in Chart 2, describe the relationship between the mass of the ice and the transfer of thermal energy in the investigation. Use evidence and scientific reasoning to support your answer.

Based on the data provided in Chart 2, describe the relationship between the mass of the ice and the

Answers

The amount of heat transferred is also directly proportional to the mass. To cause an equivalent temperature change in a doubled mass, you need to add twice the heat.

Here we can se that ice having mass of 60 gram has initial temperature 20°C and final temperature 10°C and ice of mass 300 gram has initial temperature 20°C but final temperature of 7°C. So amount of heat transfer is more in ice of greater mass

What is thermal energy ?

Thermal energy is the term used to describe the energy present in a system that determines its temperature. The movement of thermal energy is heat. How heat is transmitted across various systems and how work is accomplished in the process is the subject of a large branch of physics called thermodynamics.

When heat is converted to energy, it becomes part of the object's internal energy. The kinetic energy that results from the particles starting to travel more quickly is one type of this internal energy. A rise in temperature is a reflection of this more active particle motion.

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A visitor in February asks, "The Sun is directly overhead at noon today, right?" (You assume they mean from the location of the science center in the continental United States, where you are.) What should you answer? No, the Sun is only directly overhead at noon at this location on the summer solstice. No, the Sun is directly overhead at noon at this location on January 1. Yes, the Sun is directly overhead at noon every day. No, the Sun is never directly overhead at this location, but it is highest at noon on the summer solstice in June. No, the Sun is only directly overhead at noon at this location on the spring and autumnal equinoxes. Question 2 4 pts A visitor to the Science Center says to you, "I know why there are seasons. The Earth's orbit is highly elliptical, so it's summer and hotter when the Earth is closer to the Sun." Which of the following could you use to help the visitor learn? None of these All of these The eccentricity of Earth's orbit is 0.016. The midday Sun is highest in the sky in June. The perihelion of the Earth is in January. A visitor to your U.S. science center comes inside from the cold January day and asks, "I wish it were summer right now." Where might you tell them that it's summer that same day? Australia, in the Southern Hemisphere China, in the Eastern Hemisphere Europe, in the Western Hemisphere Nowhere, it's winter at the same time dverywhere on Earth Question 4 A visitor says, "Do stars have a latitude and longitude so that you can find them on a map?" No, stars have coordinates of declination and right ascension. Yes, we call these "stellar latitude" and "stellar longitude" for stars. No, stars are found by their solstice and equinox. No, stars are only labeled with which constellation they are in.

Answers

The answers would be: 1) No, the Sun is only directly overhead at noon at this location on the summer solstice; 2) None of these options can be used to support the misconception; 3) In the Southern Hemisphere, particularly in Australia, it would be summer on the same day; and 4) No, stars are not located using latitude and longitude but rather by their coordinates of declination and right ascension.

1) The Sun is not directly overhead at noon every day at the location of the science center in the continental United States. It is only directly overhead at noon on the summer solstice, which typically occurs around June 21st.

2) None of the given options can be used to support the visitor's misconception about the seasons. The correct explanation for the seasons is the tilt of the Earth's axis, not the eccentricity of its orbit or the position of perihelion.

3) If the visitor wishes for it to be summer on the same day, you could inform them that in the Southern Hemisphere, particularly in countries like Australia, it is currently summer.

4) Stars do not have a latitude and longitude system like locations on Earth. They are located using coordinates of declination (similar to latitude) and right ascension (similar to longitude), which are measured in celestial coordinates. Constellations are used as reference points for identifying stars but do not represent their precise locations.

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The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be

Answers

The exact same.  gravity has no effect on mass.

Answer:

The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be Less

Explanation:

An oil tank has a base area of 2.5 square metres and is filled with oil to a depth of 1.2m. the density of oil is 800kg per cubic metre. calculate the mass in kilograms of oil contained in the tank

Answers

The mass of oil contained in the tank is 2400 kilograms.

To calculate the mass of oil contained in the tank, we need to determine the volume of oil first. The volume of the oil can be calculated using the formula:

Volume = Base Area × Height

Given:

Base Area = 2.5 square meters

Height = 1.2 meters

Volume = 2.5 m² × 1.2 m

Volume = 3 cubic meters

Next, we can calculate the mass of the oil using the formula:

Mass = Density × Volume

Given:

Density of oil = 800 kg/m³

Volume = 3 cubic meters

Mass = 800 kg/m³ × 3 m³

Mass = 2400 kilograms

Therefore, the mass of oil contained in the tank is 2400 kilograms.

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SOMEONE HELP ME PLEASE

SOMEONE HELP ME PLEASE

Answers

Answer:

C

Explanation

An object at rest will stay at rest.

A basketball is dropped from top of the rim. It takes 1.3s to fall, what is the displacement?
a. 8.45 m
b. 8.321 m
c. 33.67 m
d. 33.8 m

Answers

Answer:

d = 8.45 m

Explanation:

Given that,

A basketball is dropped from top of the rim.

It takes 1.3s to fall.

We need to find the displacement of the basketball. Let the displacement is d. Using second equation of kinematics,

\(d=ut+\dfrac{1}{2}at^2\)

Where

u is the initial velocity, u = 0

a = g

So,

\(d=\dfrac{1}{2}\times 10\times 1.3^2\\\\d=8.45\ m\)

So, the displacement of the basketball is 8.45 m.

chetan is enjoying a ride on giant wheel which is moving with a constant speed of 10 metre per second it implies a Chetan is

Answers

100 mph

Explanation:

Chetan is going 100 mph he hauling

think carefully about these two facts. if we assume that the dots all started on top of each other and that the balloon has expanded at a constant rate, what is signficant about the reciprocal of hubble's constant that you have found for the balloon?

Answers

The reciprocal of Hubble's constant for the balloon represents the age of the balloon since it started expanding.

Hubble's constant (H₀) is a measure of the expansion rate of the universe.

When we find the reciprocal of Hubble's constant (1/H₀), it gives us the time it took for the universe (or in this case, the balloon) to expand from a single point to its current size, assuming a constant expansion rate. In this context, the reciprocal of Hubble's constant represents the age of the balloon since the expansion began.
The reciprocal of Hubble's constant, when applied to the balloon, provides significant information about the age of the balloon and its expansion history, assuming a constant rate of expansion.

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What do you think Jose’s grandmother meant by saying that the bread was too dense? What other things can you think of that are “dense”?

Answers

The bread was most likely heavy

Answer:

What I think that Jose's grandmother meant by saying that the bread was too dense is that she thinks the bread is too heavy or it can even mean to be too compacted in substance. The matter in the bread are close together and not spread out like in the air, when the matter in the air starts to come closer together it starts to make fog, because it is becoming more dense. Some more things that are heavy or dense are things like a big stereo speaker, an anvil, or even a big piece of wood used to build.

Explanation:

List some endurance training exercises.

Answers

Answer:

•Walking briskly

• Running /jogging

•Dancing

•biking

A particle is moving along a circular path of radius 2m and with a uniform speed of 6m/s. What will be the average acceleration when the particle completes half revolution​

Answers

Average acceleration when the particle completes half revolution​ is 18 m/s^2.

What is centripetal acceleration?

If you whirl a ball on the string over your head, then the ball is undergoing centripetal acceleration. If you drive a car around in circle, then your car is undergoing centripetal acceleration.

The average acceleration of a particle moving in a circular path is given by the formula: a = v^2/r, where v is the velocity of the particle and r is the radius of the circular path.

For the given particle, the velocity is 6 m/s and the radius is 2m. Therefore, the average acceleration is given by a = v^2/r = 6^2/2 = 18 m/s^2.

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Which of the following factors has no effect on the force of friction between two solid objects? A.the type of materials the objects are made of. B.the smoothness of the surfaces between the objects. C.the contact force between the objects. D.the relative speed of the objects to each other

Answers

The required correct answer is A - the type of materials the objects are made of.

The force of friction between two solid objects depends on various factors such as the smoothness of the surfaces in contact, the contact force between the objects, and the relative speed of the objects to each other. The force of friction arises due to the interlocking of surface irregularities between two solid objects in contact, which resists the relative motion between them. The smoother the surfaces, the less force is required to overcome the friction. Similarly, the force of friction increases with the contact force between the objects and the relative speed of the objects to each other. However, the type of materials the objects are made of does not affect the force of friction, as long as they are both solid and in contact. Thus, the force of friction is an important concept in physics, which has numerous applications in daily life.

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When you walk on a floor, what pushes you
along?

Answers

Answer:

In order to walk across the floor, you push backwards on the floor with your foot. Newton's Third Law says that the reaction force to this action force is "floor pushes you forward" (Action: You push floor (backwards). Reaction: floor pushes you (forward).) So, when you walk, it is the floor that pushes you along!

Explanation:

.

Your shoes
Answer friction

What is the angular displacement travelled in the first 6 second,if the final angular speed is 20rad/s and with angular acceleration of 5rad s²

Answers

The angular displacement traveled in the first 6 seconds if the final angular speed is 20rad/s and with an angular acceleration of 5 rad /s² would be 90 radians.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

By using the second equation of motion given by Newton,

S = ut + 1/2at²

S = 0 + 0.5 × 5 × 6²

S = 90 radian

Thus, the total angular displacement would be 90 radians.

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One tuning fork with a frequency of 300 Hz is sounded with a second tuning fork. If a beat sounds 11 times/s, what are the possible frequencies of the other tuning fork

Answers

The possible frequencies of the other tuning fork are 311 Hz and 289 Hz.

When two tuning forks are sounded together, they produce beats, which are periodic variations in sound intensity. The frequency of the beats is equal to the difference between the frequencies of the two tuning forks. In this case, the beat frequency is 11 beats per second.

To find the possible frequencies of the other tuning fork, we need to determine the frequency difference between the two tuning forks that can produce a beat frequency of 11 Hz. Since the given tuning fork has a frequency of 300 Hz, we can add or subtract the beat frequency from its frequency to find the other possible frequencies.

Adding 11 Hz to 300 Hz gives us 311 Hz, while subtracting 11 Hz from 300 Hz gives us 289 Hz. Therefore, the possible frequencies of the other tuning fork are 311 Hz and 289 Hz, depending on whether the beat frequency is produced by an increase or decrease in frequency.

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The possible frequencies of the other tuning fork are 311 Hz and 289 Hz.

When two tuning forks are sounded together, they produce beats, which are periodic variations in sound intensity. The frequency of the beats is equal to the difference between the frequencies of the two tuning forks. In this case, the beat frequency is 11 beats per second.

To find the possible frequencies of the other tuning fork, we need to determine the frequency difference between the two tuning forks that can produce a beat frequency of 11 Hz. Since the given tuning fork has a frequency of 300 Hz, we can add or subtract the beat frequency from its frequency to find the other possible frequencies.

Adding 11 Hz to 300 Hz gives us 311 Hz, while subtracting 11 Hz from 300 Hz gives us 289 Hz. Therefore, the possible frequencies of the other tuning fork are 311 Hz and 289 Hz, depending on whether the beat frequency is produced by an increase or decrease in frequency.

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Physics question, please help!

Physics question, please help!

Answers

Answer:

See below

Explanation:

The kinetic energy of the ball is = to the amount of work he did

  1/2 mv^2 = 1/2 * .5 kg * (6 m/s)^2  = 9 J

  1/2 ( .5)( 7.46)^2  - 9 =  4.9 j

The Pontential energy of the ball ( the height of the ball when launched) was converted to vertical velocity adding to the increase in velocity as it hit the floor....     so   AFTER it was launched  ...GRAVITY did the work.   ( It was actually Potential Energy created when the ball was lifted to launch height BEFORE launch)

What is the difference between precision and accuracy of measurement.

Answers

Answer:

Precision: closeness of your measurements to each other

Accuracy: closeness of your measurements to a specific value

Hope this helps

Explanation:

What does our atmosphere protect us from?

Answers

The atmosphere protects life on Earth by filtering harmful UV radiation, regulating solar radiation and heat, shielding against cosmic rays and space debris, maintaining atmospheric pressure for respiration, and mitigating the impact of meteorological hazards.

Our atmosphere provides several key protections to life on Earth:

Ultraviolet (UV) Radiation: The atmosphere contains the ozone layer, which helps filter out a significant amount of harmful UV radiation from the Sun. UV radiation can cause skin damage, including sunburns and an increased risk of skin cancer.

Solar Radiation and Heat: The atmosphere absorbs and scatters a portion of the Sun's solar radiation, reducing the intensity of direct sunlight that reaches the Earth's surface. It helps regulate temperatures by trapping heat through the greenhouse effect, preventing extreme temperature fluctuations.

Cosmic Rays and Space Debris: The atmosphere acts as a shield against high-energy cosmic rays and most space debris, such as small meteoroids, by causing them to burn up or disintegrate upon entry. This protection prevents them from reaching the Earth's surface and causing potential harm.

Atmospheric Pressure: The atmosphere exerts pressure on the Earth's surface, creating a stable environment for life. It allows us to breathe comfortably by ensuring that air molecules are present at a sufficient density for respiration.

Protection from Meteorological Hazards: The atmosphere plays a crucial role in weather patterns, helping to distribute heat, moisture, and energy across the planet. It provides a buffer against extreme weather events like hurricanes, tornadoes, and severe storms, helping to mitigate their impact.

Therefore, our atmosphere serves as a protective barrier that shields us from various harmful external factors, maintaining a stable and habitable environment for life on Earth.

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5- To steer an airboat, rudders sit behind the fan. When the air passes through the turned rudders, it turns the boat. Use Newton’s third law to construct an explanation on how the rudders turn the boats

Answers

Answer: the air exerts a force on the rudders, and the rudders will exert a force of equal magnitude and opposite direction on the boat causing the boat to start accelerating

Explanation:

An object with a mass of 188 kg accelerates 6.09 m/s² when an unknown force is applied to it. What is the magnitude
of the force?

Answers

The magnitude of the force is 1144.92  N.

How do you define force?

Physicists define force as:

Push or pull which when applied to an object having mass causes it to change its velocity in response to the push or pull.

It has a magnitude and a direction. The direction of the force is referred to as the force's direction, and the application of force is the place at which the force is applied.Using a spring balance, the Force can be quantified. Newton is the SI-defined unit of force (N).

The vector product of mass (m) and acceleration represents the amount of force (a).

Mathematically speaking, the force equation or formula can be written as follows:

                                                   F = ma

where m equals mass

a represents acceleration.

It is articulated either in Newton (N) or Kgm/s2.

As per Newtons second law of motion,

F=m×a

Given in the question,

Mass,  m=188   kg

Acceleration,  a=6.09  m/s2

Therefore,

F=188 x 6.09

F=1144.92  N

Hence, the magnitude of the force is 1144.92  N

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A man who weights 900 N stands on a platform scale in a elevator the elevator has made 4000 kg the reading on the scale is 700 N

Answers

Answer:

a = -2.17 m / s²

Explanation:

In this problem you must ask for the acceleration of the elevator.

Let's use Newton's second law

           F-W = ma

           a =\(\frac{F}{m} - g\) F / m-g

the weight of the body is 900 N and the force is the reading of the scale, let's find the mass

         w = mg

         m = w / g

         m = 900 / 9.8

         m = 91.84 kg

let's calculate

         a = 700 / 91.84 - 9.8

         a = -2.17 m / s²

The negative sign indicates that the elevator is going down

the forces between polar molecules is known as __________.

Answers

The forces between polar molecules is known as dipole-dipole forces.

Dipole-dipole forces are a form of intermolecular force that occurs between molecules that have permanent dipoles as a result of the unequal sharing of electrons. They are usually found in polar molecules that are covalently bonded.

A permanent dipole is a separation of electric charge that exists across two adjacent atoms or atoms. These dipoles exist when atoms in a covalent bond share electrons in an unequal manner, resulting in a partially positive end and a partially negative end. This partial charge imbalance causes the neighboring molecules to experience a force that causes them to line up in a specific orientation. This kind of attraction is known as dipole-dipole forces.

A polar molecule is a molecule with a net dipole moment greater than zero due to the asymmetrical arrangement of polar bonds, or due to the presence of lone pair electrons on the central atom. Polar molecules are molecules that have partial charges or regions with varying charge densities. The electrons in polar molecules are not evenly distributed throughout the molecule, resulting in a region of partial negative charge and a region of partial positive charge.

Intermolecular forces are the forces that hold two molecules together. The forces that occur between molecules are referred to as intermolecular forces. They are usually much weaker than chemical bonds, which hold atoms within a molecule together.

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Speed is velocity in a given direction
O True
O False

Answers

Answer:

FALSE

Explanation:

Velocity = speed with direction.

Think of speed and direction like rockets and missiles. Rockets are not smart. Missiles are smart. Rockets go in one direction. Missiles can track their targets, they have a specific destination, a specific direction.

Velocity is often used in physics, because its almost useless to know how fast an object is going if you don't know which direction it is going.

Think of it like this. If the Weather man told you a hurricane was traveling at 30 miles an hour, but didn't tell you which direction it was going, you would have no idea where to run, or if it was going to hit you at all. However, if he told you it was going 30 miles an hour to the North, and you were West of it, you would be fine, and wouldn't have to worry.

false. speed equals velocity

a car travels 30 km north in 25min. and 40 km east in 35 min. what is the total distance traveled?

Answers

Answer:

70 km!

Explanation:

Hope this helps!

A ball falls down 30 meters from the top of a building. If the ball

weighed 1. 2 kg, what is the gravitational potential energy lost

by the ball? Estimate g as 9. 81.

Answers

The potential energy lost by the ball is 353.16 J, if the mass of the ball is 1.2 kg and the height from which it drops is 30 m.

Actually energy lost is not scientifically correct to say here, because energy never lost or destroyed, rather it converts from one form to another. Potential energy does not get lost here, but it converts into kinetic energy or heat energy or both.

Potential energy is the energy possessed by an object due to its position relative to the other objects. Potential energy(P) is mathematically described as follows:

P = mgh

Where m is mass, g is acceleration due to gravity, and h is the height of the object. So,

P = 1.2 × 9.81 × 30

P = 353.16 Joules

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a 2 kg book sits in the same room as a 5 kg vase. if the force of gravity between them is 7.41 question text :two asteroids are 75,000 m apart. one has a mass of 8 kg and the other 10 kg. if the force of gravity between them is 1.14 n, what is the mass of the other asteroid? 10-11 n, how far apart are they

Answers

The mass of the other asteroid is approximately 1.3529 * 10¹⁵kg.The force of gravity between two objects can be calculated using Newton's Law

The force of gravity between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force of gravity is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance between their centers.
In this case, we are given that the force of gravity between the two asteroids is 1.14 N and the mass of one asteroid is 8 kg. We need to find the mass of the other asteroid.

Let's use the formula for gravitational force:

F = (G * m1 * m2) / r²

where F is the force of gravity, G is the gravitational constant (approximately 6.674 * 10⁻¹¹ N m²/kg²), m1 and m2 are the masses of the two objects, and r is the distance between their centers.

We can rearrange the formula to solve for the mass of the other asteroid (m2):

m2 = (F * r²) / (G * m1)

Substituting the given values into the equation:

m2 = (1.14 N * (75,000 m)²) / (6.674 * 10⁻¹¹  N m²/kg² * 8 kg)

Calculating the expression:

m2 ≈ 1.3529 * 10¹⁵ kg

Therefore, the mass of the other asteroid is approximately 1.3529 * 10¹⁵ kg.
Please note that the calculated value is an approximation and may vary depending on the exact values used. It is always important to verify the input values and units to ensure accurate calculations.
Answer: The mass of the other asteroid is approximately 1.3529 * 10¹⁵kg.

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what was the history of a trebuchet

Answers

Answer:

The trebuchet was invented in France and was first reported to be used in 1124AD in the siege of Tyre (in present-day Lebanon) during the Crusades. As it was much more powerful than a catapult, a trebuchet became the siege weapon of choice.

Explanation:

Most people think that the trebuchet is a medieval weapon, but actually, it has its origins in ancient China. The ancient Chinese trebuchet could throw huge boulders up to 250 pounds, a distance of 200 feet. In addition, it was lightweight and mobile which was crucial as it could be moved around the battlefield with ease. The thing I love about the chinese trebuchet is that it pushes the boundaries of ancient engineering to create a ballistics revolution - a flexible, portable, killing machine.

What sort of force is magnetism?
pls help ASAP :)
no links pls​

Answers

Answer:

Magnetism is one aspect of the combined electromagnetic force. It refers to physical phenomena arising from the force caused by magnets, objects that produce fields that attract or repel other objects.

Other Questions
"They'd all come running like pigs to slop."What type of figurative language is seen in the sentence above?similemetaphorhyperboleShe began to relax, listening to the sound filled silence.Osimilemetaphoroxymoron10 pointsClear selection10 points According to Erikson, the major personality attainment of adolescence is __________. A) trust B) identity C) autonomy D) intimacy A security makes an annual payment of $1.4 forever. The appropriate discount rate is 6% per year. Part 1 - Attempt 1/1 What is the present value of this security if the first payment is made one year from now? 23.3 Saved Save Part 2 Attempt 1/1 What is the present value of this security if the first payment is made three years from now? The perimeter of a triangle is 40 inches. The middle length side is twice as long as the shortside. The longest side is 10 inches longer than the sum of the other two sides. Set up anequation to model this situation. Then find the length of each side Which situation will likely have no correlation? 8.234 E14 in standard form Find the measure of each angle How pressure from family, friends and society may have a negative impact on a grade 12 learner Describe three different ways that Titian used copying in his career. Hint: consider how hegot his start with a copy, and how his working method involved being copied himself. In a writing signed by both parties on December 1, a man agreed to buy from a distributor a gasoline engine for $1,000, delivery to be made on the following February 1. Through a secretarial error, the writing called for delivery on March 1, but neither party noticed the error until February 1. Before signing the agreement, the man and the distributor orally agreed that the contract of sale would be effective only if the man notified the distributor in writing no later than January 2 that the man had arranged to resell the engine to a third person. Otherwise, they agreed orally, "There is no deal." On December 15, the man entered into a contract with a mechanic to resell the engine to the mechanic at a profit.The man did not give the distributor notice of the resale until January 25, and the distributor received it by mail on January 26. In the meantime, the value of the engine had unexpectedly increased about 75% since December 1, and the distributor renounced the agreement.If the man sues distributor on February 2 for breach of contract, which of the following is the distributor's best defense:A. The secretarial error in the written delivery-term was a mutual mistake concerning a basic fact, and the agreement is voidable by either partyB. The man's not giving written notice by January 2 of his resale was a failure of a condition precedent to the existence of a contractC. In view of the unexpected 75% increase in value after December 1, the distributor's performance is excused by the doctrine of commercial frustrationD. The agreement, if any, is unenforceable because a material term was not included in the writing A store purchases baseball hats from two different manufacturers in 3 different colors, summarizedbelow. One hat is chosen at random. Give your answer as a decimal out to at least 4 places.Black Blue Red TotalManufacturer A 23 21 29 73Manufacturer B 27 17 10 54Total 50 38 39 127a) Find the probability that the hat was was Black or was from Manufacturer A. 0.3150O 0.78740157480315b) Find P(Red).c) Find P(Manufacturer B and Red),d) Find P(Manufacturer B or Red). What is the smallest conductor that can be used to parallel feed a 277/480 V 60 HZ panel? Which statement best describes the relationship between moodsand communication?.Sad people communicate more effectively than happy peoplebecause they pay attention to details.BHappy people communicate more effectively than sad peoplebecause they connect on a personal level.Neutral-feeling people communicate more clearly than peoplein happy or sad moods.DThough people in a sad mood may communicate more clearly,other moods have communication benefits as well. Unit 10: circles homework 6: arc & angle measures**please explain how you get your answer** 85X2 Work out angle x.600 One tactic Switzerland will use to protect itself is to blow up most of its cities and citizens if an invasion occurs. True False Will the real atomic model please stand up?, describe what Daltons theory states about a molecule of water. PLEASE HELP ME WITH THIS MATH PROBLEM!!!! -4 2/3 1 4/5 Help me with this Choose the option that best describes what it means to get 70% on a test.If there were 70 points possible, you earned all of them.If there were 100 points possible, you earned 7.If there were 100 points possible, you earned 30.O If there were 100 points possible, you earned 70.