What is the speed of a 0. 25 kg ball if its kinetic energy is 15 J?.

Answers

Answer 1

The speed of a 0.25 ball is 2√30 m/s. The result is obtained by using the formula for kinetic energy.

What is kinetic energy?

Kinetic energy is the energy of an object due to its motion. So, if an object is moving, it has kinetic energy.

The energy is equal to half mass of an object multiplied by the square of its velocity. The statement can be expressed as

KE = ½ mv²

Where

KE = kinetic energy (J)m = mass of object (kg)v = velocity of object (m/s)

We have a ball with

Mass, m = 0.25 kgKinetic energy, KE = 15 J.

Find the speed of the ball!

Using the formula for kinetic energy, the speed of the ball is

KE = ½ mv²

15 = ½ (0.25)v²

15 = 0.125v²

v² = 15/0.125

v² = 120

v = √(4×30)

v = 2√30 m/s

Hence, the speed of the ball is 2√30 m/s.

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Related Questions

a trolley A of mass 2kg at 5 meter per second collide with a stationary trolley B of mass 3kg after the collision the two travel together at 2 meter per second find (a) what is the momentum of A before the collision (b) what is the momentum of A after the collision (c) what is the kinetic energy of A before collision (d) what is the kinetic energy of each trolley after collision (e) during the collision A kinetic energy gained by B is less than the kinetic energy gained by A, how much kinetic energy is un accounted for?​

Answers

a) The momentum of trolley A before the collision is (2 kg) * (5 m/s) = 10 kg*m/s.

b) The momentum of trolley A after the collision is (2 kg) * (2 m/s) = 4 kg*m/s.

c) The kinetic energy of trolley A before the collision is 1/2 * (2 kg) * (5 m/s)^2 = 25 J.

d) The kinetic energy of trolley A after the collision is 1/2 * (2 kg) * (2 m/s)^2 = 2 J. And the kinetic energy of trolley B after the collision is 1/2 * (3 kg) * (2 m/s)^2 = 3 J.

e) The amount of kinetic energy that is unaccounted for is the difference between the initial kinetic energy of trolley A and the final kinetic energy of trolley A and trolley B. This is 25J - (2J + 3J) = 20 J.

It's important to note that the total momentum of the system is conserved during the collision, meaning that the momentum of trolley A before the collision is equal to the total momentum of trolley A and B after the collision. Also the total kinetic energy of the system is not conserved during the collision as some of the energy is transferred to internal energy of the system and other forms of energy.

a body of mass 150 g thrown vertically upwards from the ground of velocity 15 m per second at a height of 40 m the initial kinetic energy of the body is?​

Answers

The initial kinetic energy of the body is 16.875  kg m² / s²

What is Kinetic Energy?

The equation for kinetic energy states that it is the product of the magnitude of the velocity squared, or speed squared, and 1/2 the mass of the item.  It is defined as the effort required to accelerate a mass-determined body from rest to the specified velocity.

Examples showing how kinetic energy is changed into and out of different forms of energy may help people better understand kinetic energy.

Calculate the initial kinetic energy of the body -

Conserving he energy, we get

Kinetic energy = 1/2 × m × v²

M = 150g = 0.150 kg

v = 15m/s

⇒K. E = 1/2 × 0.150 × 15²

⇒ K.E. = 16.875  kg m² / s²

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what events generate the p wave, qrs complex, and t wave?

Answers

The P wave results from atrial depolarization. The QRS complex is a result of ventricular depolarization and indicates the start of ventricular contraction. signals the beginning of ventricular relaxation.

What does a neuron depolarize?

The opening of sodium channels within in the plasma membrane of neurons causes depolarization, a rapid rise in potential that is an all-or-nothing event. The opening of sodium potassium channels is what causes the subsequent repolarization, or return to resting potential.

What takes place during depolarization?

Its gated sodium ion channel on the neuron's membrane quickly open during in the depolarization phase, letting sodium ions (Na+) from the outside flood inside the cell. The nerve's intrinsic charge drops from -70 mV towards -55 mV when the sodium ions enter the cell fast.

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What unit should be used for the lever arm moment of force?.

Answers

Because moment of force (bending moment) and torque are equal to a force times a rotation distance (moment arm or lever arm), their SI unit is N*m.

A lever arm time is defined?

The distance between the force's line of action and the centre of moments, also known as the second arm or lever arm, is perpendicular. Moment: M = (F) = Force x Length (d) The exact location in which the force induces rotation may be the Center of Moments.

The fundamental lever equation is what?

image outcome

Levers are devices that allow for the application of a small force over a longer distance at one end while applying a high force over a shorter distance at the other.

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What is the rate of acceleration of the object between 0 and 4 seconds?.

Answers

Between 0 seconds and 4 seconds, the object rate of acceleration is 1 m/s². Thus, the correct answer is D.

The rate of acceleration of an object can be calculated by using the formula:

acceleration = (final velocity - initial velocity) / time.

In this case, the initial velocity is 1 m/s, the final velocity is 5 m/s, and the time is 4 seconds. Therefore, the calculation would be:

acceleration = (5 - 1) / 4 acceleration = 1 m/s²

This means that the object is accelerating at a rate of 1 m/s² between 0 and 4 seconds. This can also be visualized as the object's velocity increasing by 1 m/s every second.

This question should be provided with answer choices, which are:

A. 1 m/sB. 0 m/s²C. -1 m/s2D. 1 m/s2

The correct answer is D.

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a form of energy conversion that captures heat energy from within Earth

Answers

Geothermal energy is heat that occurs deep within the earth. Geothermal energy is a clean, renewable resource that can be used for heat and electricity.

Humans can harvest geothermal energy in the following ways. A geothermal power plant uses heat from deep underground to generate steam and generate electricity. Geothermal heat pumps use heat from near the surface to heat water or heat buildings. Geothermal power plants uses the steam to generate electricity. The steam comes from reservoirs of hot water several miles or more underground. The steam spins turbines and drives generators to generate electricity. These are the features of geothermal energy within the earth.

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Whole grains, like oats, barley, and wheat, are good sources of the b-complex vitamins. These foods are also considered very good sources of energy. Why would whole grains be good sources of energy?.

Answers

Whole grains, like oats, barley, and wheat, are good sources of the b-complex vitamins. These foods are also considered very good sources of energy, would whole grains be good sources of energy they are rich in complex carbohydrates which can be broken down for energy, and their B-complex vitamins are involved in metabolic processes that release this energy.

What is carbohydrates?

A substance is a good source of energy if it is rich in complex carbohydrates.

Carbohydrate rich food substances that produce energy when broken down.They are the main stay for power in the body.Vitamin B-complex helps in carbohydrate metabolism.Deficiency of this vitamin hinders the rate at which metabolism of carbohydrate occurs.Therefore, the listed grains are good sources of energy.

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The complete question is as follows:

Whole gratis heats, barley, and wheat, are good sources of the B-complex vitamins. These foods are also considered very good sources of energy Why would whole grains be good sources of energy?

A They are rich in fats which are broken down and stored in the body through processes that require B-complex vitamins,

B They are rich in complex carbohydrates which provide energy, and their B-complex vitamins are important for transporting

these carbohydrates to cells that need energy

C They are rich in fats which can only be transported to energy producing cells with the help of B-complex vitamins

D They are rich in complex carbohydrates which can be broken down for energy, and their B-complex vitamins are involved in metabolic processes that release this energy

A force of 20.0 N is applied to a 3.00 kg object for 4.00 seconds. Calculate the impulse experienced by the object

Answers

The impulse experienced by the object is 80.0 N-second.

What is impulse?

In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.

Mass of the object = 3.00 kg

Time interval = 4.00 seconds

Force applied = 20.0 N

Hence, the impulse experienced by the object is = 20.0 N × 4.00 seconds

= 80.0 N-second.

So, the impulse experienced by the object is   80.0 N-second.

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What will happen to 4G phones when 5G comes?.

Answers

The functionality of 4G devices will not change. While they invest in the rollout of 5G, mobile companies are expected to keep existing 4G network operational.

Your smartphone could be a 3G device if it is older than a few years.To find out if your cell operator intends to phase down its 3G services, check with them.

With the introduction of fifth generation, or "5G," technology, cellular network are getting an upgrade. Consumers may anticipate new apps and enhanced user experiences, just as in prior generations.

Beyond mobile phones, significant improvements in connection made possible by 5G could enable applications such as telemedicine and aiding local communities in managing resources like traffic lights and water supply. A increasing number of connected devices will be supported by 5G, which is anticipated to boost the effectiveness and quality of all the goods and services that customers already use and enjoy. Other possible uses include self-driving automobiles, virtual reality, and augmented reality. Find out more about what to anticipate once 5G arrives:

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The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately when can it be observed?

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The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately: we won't know about it until 600 years from now.

What is light-years?

Rather than measuring time, a light-year measures distance (as the name might imply). The distance a light beam travels in a single Earth year is measured in "light-years," which is roughly equivalent to 6 trillion miles (9.7 trillion kilometers).

Because the cosmos is expanding, the light that goes the farthest is stretched the most, resulting in the object that emitted that light being farther away. The expanding cosmos is the reason we can see things up to 46.1 billion light-years away. According to a common model of the Universe, some of the most recently discovered objects may be more than 13 billion light years away.

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What is the SI unit of gravitational force and gravity?.

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The SI unit of measurement for gravity is called a newton since it is a force (N). The force required to accelerate a body with a mass of 1 kg by 1 m/s² is known as a newton.

The weight of an object determines how much gravitational pull it has on the Earth. An object's weight is the force acting on it in a gravitational field, and its mass is regarded as a measure of that object's inertia. The acceleration caused by gravity connects the two forces when they are applied to Earth's surface. Fg = mg.

The work (or energy expended) by a force of one newton (N) operating over a distance of one meter is equivalent to one joule (m). A force of one newton causes a mass of one kilogrammes (kg) to accelerate by one meter per second (s) per second. So, one joule is equivalent to one newton metre.

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What are the disadvantages of ballistic stretches?.

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The biggest drawback of ballistic stretching, aside from the risk of damage, is that it doesn't give the stretched muscle enough time to adjust to the extended position.

Instead can make the muscles tighten up by continually inducing the stretch response (or myotatic reflex). Overstretching or bouncing might be detrimental. Microtrauma or rips in the muscles or connective tissue may result from it. As a result, this can produce a flaw that manifests itself later on in the run. Stretching should be done for a set amount of time, usually between 5 and 10 minutes.

Reduced maximal strength when done before strength training; decreased long-term training benefit when done before or during strength; increased chance of injury when done before strength or endurance training.

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600 joules of work is used to lift a box from the ground to a height of six meters.

Answers

The work that would have been done if a lever with a 12 metre effort arm and a 6 metre load arm had been used is 50 J. As a result, option A is the correct answer.

What is the work done by the lever?

A lever is a simple machine that facilitates and accelerates work. When a lever is used, a small amount of effort is required to overcome a large load.

When the output force exceeds the input force, the machine's efficiency increases.

The formula for calculating a machine's efficiency is

Eff = (output force / input force) x 100%.

The output force is calculated as

F (out) = load x distance moved by load.

The input force is calculated as

F (input) = effort x distance moved by effort.

The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;

work = ( 600 × 6  ) / ( 12  x 6  )

work = 50 J

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Complete question:

600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load

arm of 6 meters? († point)

O 50 J

O 100 J

O 600 J

0 72 J

Calculate the resultant of two forces that act on a point, as indicated in the diagram. (193 N 355") F. - 200 N 40⁰ F₁ = 150 N 25°​

Answers

The free-body diagram should have coordinate axes. Make x and y components out of the forces acting on the item. The x and y components of all forces should be added to determine the x and y components of the resultant force. Finally, using its x and y components, determine the magnitude and direction of the resulting force.

How to find the resultant force?

The resultant force can be calculated using Newton's Second Law if we are aware of an object's mass (m) and the acceleration (a) that the forces acting on it cause. Indeed, Newton's Second Law states that the force F alone is what causes an object with mass m to accelerate.

F = ma

Our outcome force is this force F. Thus, we can write:

R = ma

Which implies that the resultant force R has the same direction as a and an amount equal to the product of ma.

For instance, if five forces are applied to a 1.5 kilogram box, causing it to accelerate to a north-west speed of 2.0 m/s2, the resulting force will be focused in that direction and have a magnitude of 1.5 kg x 2.0 m/s2 = 3.0 N.

To find the force that results from the forces acting on an item, we frequently need to know the acting forces.

According to experiments, the resultant force R is the vector sum of the forces that are acting on an object at the same time (F1, F2,... ):

R = F1 + F2 + ...

The forces have been represented as vectors, which is more complicated because vectors have a magnitude and a direction that we need to take into account when computing the total. Note that this is not only the sum of the force magnitudes.

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What is the formula of linear momentum Class 9?.

Answers

P = mv is the equation for linear momentum. Conservation of momentum refers to the fact that the overall amount of momentum remains constant.

Where does momentum exist in the real world?

Momentum underpins almost all motion-based actions. This principle of physics is crucial. Momentum is a word frequently used in sports. It will be challenging to stop a team that is moving forward, for example.

What is the meaning of momentum?

exclusive nouns Momentum is referred to as a momentum. force, speed, or impulse, as to a material entity or series of events: The car accelerated down and accelerated.

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A car slams on its brakes creating an acceleration of -3.2 m/s2. It comes to rest after traveling a distance of 210 m. What was its velocity before it began to accelerate?
The answer should be 36.6 m/s -Show work!

Answers

The velocity of the car before it began to accelerate is 36.6 m/s.

What is the initial velocity of the car?

The initial velocity of the car is calculated by applying the third kinematic equation.

v² = u² - 2as

where;

v is the final velocity of the caru is the initial velocity of the cara is the acceleration of the cars is the distance travelled by the car

When the car stops, the final velocity, u will be equal to zero.

v² = u² - 2as

0 = u² - 2as

u² = 2as

u = √ (2as)

u = √ ( 2 x 3.2 x 210 )

u = 36.6 m/s

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What comes to mind when you hear the term acid?

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A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair. 

What is acid?

Proton donors, also known as Brnsted-Lowry acids, are the first class of acids. Proton donors, also referred to as Arrhenius acids, generate the hydronium ion H3O+ under the unique situation of aqueous solutions.

The Arrhenius theory was expanded upon by Brnsted and Lowry to take non-aqueous solvents into account.

A hydrogen atom is typically bound to a chemical structure in a Brnsted or Arrhenius acid that is still energetically advantageous after the loss of H+. Aqueous Arrhenius acids have distinguishing characteristics that serve as a useful definition of an acid.

Therefore, A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair. 

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Read the following scenario and explain (1)whether all the elements of a
negligent tort are present. If not, what elements are missing? (2) Who is a
fault and why? Scenario: Jenny is driving her car and rocking out to loud
music. She does not hear the siren from the ambulance driving down her
lane until the ambulance is just 15 feet from her. As soon as she notices
the ambulance she swerves to the side of the road without checking her
blind spot. She runs into Michael who was in the bicycle lane next to her.
Your answer

Answers

To win a  driver negligence claim, the victim (plaintiff) must prove four things: OBLIGATIONS, BREACH OF DUTY, CAUSE OF INJURY AND DAMAGE.

What is breach of duty?A breach of duty occurs when there is a duty of care that is not complied with. Breach of duty is an important part of negligence cases. For example, you have a duty to warn other drivers to drive below the speed limit and to warn other drivers not to drink and drive.If you violate this obligation by exceeding the speed limit or driving under the influence of alcohol. A breach of duty occurs when there is a duty of care that is not complied with. Breach of duty is an important part of negligence cases. For example, you have a duty of care to other drivers who drive below the speed limit and a duty of care not to drink and drive.

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What are the 4 methods in finding the solution of a quadratic equation?.

Answers

A quadratic equation may be solved using a variety of approaches, including factorization, completing this same square, quadratic formula, as well as graphing.

A quadratic equation may be solved using a variety of approaches, including factorization, completing this same square, quadratic formula, as well as graphing. These were the four general approaches for solving a quadratic problem.

Quadratic equations seem to be polynomial equations with degree one of these in one variable of the form f (x) = an x 2 + b x + c where a, b, c, R and. It is the generalized case of a quadratic equation in which is referred to as the leading coefficient and therefore is referred to as the absolute term of f. (x).

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Is reduce latency and improve performance good?.

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Reducing server latency means your web resources load faster and improve overall page load times for your visitors.

High latency causes time delays and makes the game unenjoyable. Low latency is ideal as it means you can experience/performance smoother gameplay. In general, acceptable latency (or ping) is 40-60 milliseconds (ms) or less, but speeds over 100ms usually mean noticeable delays while gaming. Low\reduced latency means there is a strong and reliable network connection, reducing the chance of connection loss or delays. Latency refers to the delay in time, so good network latency means low latency. Longer response time (higher latency).

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Avan of ma1200kg wa moving at a velocity oc 8m/ whenit wa involved in a head on colliion with alorry moving in oppoite direction. Auming that the van top after colliion ? what i momentum after colliion and what i change momentum

Answers

The momentum of the van after the collision will be -9600 kg m/s.

What is momentum?

Momentum is a concept in physics that is used to describe an object's resistance to changes in motion. It is based on the principle of inertia, which states that an object will remain in a state of rest or constant motion unless acted upon by an outside force. Momentum is calculated by multiplying the mass of an object by its velocity. Momentum is a vector quantity, meaning that it has both magnitude and direction. Momentum is also conserved, meaning that the total momentum of any closed system remains constant.

Momentum is a measure of an object's mass multiplied by its velocity. Before the collision, the momentum of the van was 9600 kg m/s (1200 kg x 8 m/s). After the collision, both vehicles will be travelling in the opposite direction, meaning that the momentum of the van will be the same as before, but in the opposite direction. Therefore, the momentum of the van after the collision will be -9600 kg m/s. The change in momentum, or delta momentum, of the van after the collision is the difference between the before and after momentum, or 9600 kg m/s.

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Determine the magnitude and coordinate direction angles of the resultant force acting on the bracket?

Answers

For force F2 cos2 c + cos2 c + cos2 45 + cos2 * 60 = 1 cos c = 0.5 c = 60 degree, force F1 = 450 * (cos(45) * cos(30) j - cos(45) * sin(30) i + sin(45) k).

What is a force in science?

In science, the term "force" has a particular definition. At this point, describing a force as a push or a pull is perfectly acceptable. There is no such thing as a force that an object "has in it" or "contains." A force is applied to one thing by another.

What different types of force are there?

A force is a push or pull that an object feels as a result of interacting with another object. The Force of Friction is one of many forces. Tension force Standard Force.

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Sunlight is reflected, absorbed, and transmitted by earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches earth's surface? select the two correct answers. (1 point).

Answers

Sunlight is reflected, absorbed, and transmitted by Earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches Earth's surface is Ultraviolet Light and Visible Light.

What is solar radiation?

The three forms of solar radiation—visible, ultra violet, and infrared—are separated based on their wavelength and intensity.

Visible radiation

Since radiation is visible to people, it has a name. It focuses a lot of the energy from the sun and is the most basic type of electromagnetic radiation.

Ultraviolet radiation

The least quantity of solar energy is present in ultraviolet rays. Because of its shorter wavelength, it is not visible.

Infrared radiation

Nearly 50% of solar energy is included in infrared radiation, which is likewise invisible to humans. It is longer than light since its length ranges from 780 nanometers to 1 millimeter.

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The complete question is as follows:

Sunlight is reflected, absorbed, and transmitted by Earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches Earth's surface? Select the two correct answers.

Radio Waves

Ultraviolet Light

Far Infared (lower energy Infared)

Near Infared (higher energy Infared)

Visible Light

What do you mean by lever arm?.

Answers

Lever arm, noun (plural lever arms (physics) the separation between the axis and the force application point.

How might a lever arm look like?

What else do we mean by a lever arm image,

Class 3 levers include bent arms. Elbow serves as the pivot, and the forearm serves as that of the lever arm. The forearm is bent by the biceps muscle against the gravity of the wrist and any load that the hand may be holding.

The lateral force of a beams is what?

In a segment of reinforced concrete, the lever arm is the distance between the couple's lines of action that provide compressive and tensile force.

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Light can travel through materials that you cannot see through, like wood or aluminum foil.

Answers

It is accurate to say that light can pass through opaque materials like wood and aluminum foil.

Describe light.

Electromagnetic radiation that appears to human eyes as light. The spectrum of electromagnetic radiation's wavelengths is very wide. Light carries information about time and space. For the study of optics, optical communications, and a wide range of other related, both established and emerging technologies, this characteristic serves as the fundamental building block.

Examples of technologies that manipulate light include lasers, holography, and fiber-optic communication systems. In a vacuum, all forms of light travel at the same speeds as the electromagnetic spectrum, of which only a small portion is visible to humans. Furthermore, it is without a doubt possible for non-visible light to pass through wood, including radio waves, x-rays, and photons with gamma energy.

Because of this, it is true that light can pass through opaque materials like wood and aluminum foil.

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Complete question " TRUE OR FALSE Light can travel through materials that you cannot see through, like wood or aluminum foil".

What are the three parts of a proof?.

Answers

Induction proofs always include three components. The foundation, inductive hypothesis, and inductive step are these.

What Makes a Two-Column Proof?

1) Mathematical statements are written in the first column.

2) You should list the justifications for your statements in the second column.

3) The sentences are numbered and are presented in a logical sequence.

Any evidence must have both statements and reasons, which are its two essential parts. The statements are the assertions you make throughout your proof that lead to the conclusion that you are trying to support. a methodical explanation that leads to a conclusion concerning a geometric assertion using definitions, axioms, postulates, and previously established theorems. Direct proofs and indirect proofs are the two main categories of proof.

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What is the coefficient of gravity?.

Answers

The gravitational coefficient (g = 9.8) is a metric used in physics to express the intensity of gravitational interactions between mass-containing objects. In the real world, this amount never changes.

On Earth, gravity (or the acceleration brought on by gravity) equals 9.81 meters per second squared due to the size of the planet and the distance between its surface and its center. The gravitational constant of the Earth is 9.8 meters per second squared.

The acceleration due to gravity is 9.81 meters per second squared. The gravitational constant, denoted by the capital G, is a physical empirical constant that is used to compute the gravitational effects in both Sir Isaac Newton's law of universal gravitation and Albert Einstein's theory of general relativity.

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Which example provides a complete scientific description of an object in motion? question 7 options: the hiker followed the north trail a distance of two kilometers in thirty minutes. The tiger had to run at 50 kilometers per hour across the field to catch the zebra. The hockey player sent the puck flying toward the north goal to score the winning point. The vibration of the jackhammer broke through the south-facing rock in under 10 seconds.

Answers

Answer: Thus, the correct option for this question is D.

What do you mean by Motion?

--A Motion may be characterized as a type of phenomenon through which an object or thing may change its position with respect to the time duration.

--  Physically, it may be defined in terms of displacement, velocity, acceleration, speed, etc.

--The vibration of the jackhammer broke through the south-facing rock in under 10 seconds describes the process of oscillation.

-- The hockey player sent the puck flying toward the north goal to score the winning point illustrating the force.

--The tiger had to run at 50 kilometers for an hour across the field to catch the zebra deals with the motion but in future. But now, a tiger is in the rest state.

Therefore, the correct option for this question is D.

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Why the tools meant for cutting and piercing always have sharp edges

Answers

The tools meant for cutting and piercing always have sharp edges because they have less area of contact.

Less area of contact means that the tools can apply more pressure while cutting. It also becomes easier as the surface area is less, more pressure will be applied on the object.

According to the formula P= F/A, force is directly proportional to the pressure, and according to the theory of less area of contact, cutting tools always have sharp edges not blunt edges.

For example, tools used for cutting edges such as blades, knives, etc., are provided with sharp edges to cut things easily.

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When unraveling the unit circle, the sine function creates a relationship between the.

Answers

The sine function establishes a connection between the vertical distance and y-axis when the unit circle is unraveled.

How are a sine wave and a circle connected?

We can visualize the sine wave's shape by rotating a line in a circle. The vertical distance between the circle's center and the line's end serves as our gauge for the sine wave's amplitude. The speed at which the line is spinning determines the frequency of the sine wave that results.The relationship between the x- and y-axes is established by the cosine function. The sine and cosine functions can be applied to any set of real numbers. These distances are computed using the vertical distance ratio.

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