An object of mass 2kg moves in circles at radius 8m at uniform speed of 30m/s calculate. A_angular velocity B_ceritripetal force

Answers

Answer 1

The angular velocity is 3.75 m/s and the centripetal force is 225 N respectively.

The angular velocity of an object with respect to some extent is a degree of the way rapid that item actions through the point's view, within the feel of the way speedy the angular function of the item modifications. An instance of angular pace is a ceiling fan. One blade will whole a complete round in a certain amount of time T, so its angular speed with respect to the middle of the ceiling fan is twoπ/T.

Calculation:-

A. angular velocity ω = v/r

                                     = 30 /8

                                      = 3.75 m/s

                                     

B. Centripetal force = mv²/r

                             = 2×30²/8

                              = 225 N

There are 3 formulations we will use to find the angular velocity. the primary comes instantly from the definition. The angular pace is the rate of alternate of the position attitude of an object with respect to time, so w = theta / t, in which w = angular pace, theta = position attitude, and t = time.

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Related Questions

What is the magnitude of the momentum of a motorcycle of a mass of 100 kg at rest What is its momentum if this motorcycle when it travels at 40 m s?

Answers

The magnitude of a momentum of a  motorcycle of a mass of 100kg at rest stage is 0kg-m/sec and momentum of a motorcycle is 4000kg-m/sec when it travels with 40m/sec speed.

We know very well that momentum is defined  as the quantity of the motion of the body.

Momentum is represented by the product of mass and velocity, or in other words p=mass × velocity

Momentum is called as a vector quantity. It means it has proper magnitude and proper direction.

From momentum, impulse is also calculated.

At rest stage velocity of motorcycle is 0m/sec

Therefore, momentum=100×0=0Kg-m/sec

Now, when motorcycle is moving with speed 40m/sec, then momentum is

=>p=100kg×40m/sec

=>p=4000kg-m/sec

There are various laws in physics  which are derived by the conservation of momentum.

Hence, magnitude of momentum are 0kg-m/sec and 4000kg-m/sec.

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It takes a cheetah just 3 s to reach its top speed of 30 m/s. What is its acceleration?

Answers

Answer:

The acceleration would be 10m/s.

Explanation:

To find this out, use the formula:

A = speed/time:

30 divided by 3 = 10m/s.

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What is the momentum of a 1200 kg truck traveling at a speed of 25 m s?

Answers

The momentum of the traveling truck is 30000 kgm/s.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

Momentum also can be defined by kinetic energy

KE = 1/2 . m . v²

KE = P² / 2m

where KE is kinetic energy

From the question above, the given parameters are :

m = 1200 kg

v = 25 m/s

By using the momentum formula, we get

P = m . v

P = 1200 . 25

P = 30000 kgm/s

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Infrared radiation from the center of our Galaxy with a wavelength of about 2 µm (2 ✕ 10−6 m) comes mainly from cool stars. What is the surface temperature (in K) of those stars?

Answers

The surface temperature of the stars whose infrared radiation have a wavelength of  2 µm is 1.45×10³ K.

What is temperature?

Temperature is the measure of hotness or coldness of a thing or place.

To calculate the temperature of the stars, we use the formula below.

Formula:

T = b/λ.......... Equation 1

Where:

T = Temperature of the starsλ = Wavelength of the starsb = Wein's constant

From the question,

Given:

λ = 2×10⁻⁶ mb = 2.9×10⁻³ m⋅K

Substitute these values into equation 1

T = 2.9×10⁻³ / 2×10⁻⁶T = 1.45×10³ K

Hence, the surface temperature of the stars is 1.45×10³ K.

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a ball has a mass of 6 0 kg and a velocity of 10 ms what is its momentum

Answers

A ball has a mass of 6 0 kg and a velocity of 10 ms, and its momentum: is p=6×2.2=13.2kg m/s. Q.

Mass, in physics, quantitative measure of inertia, fundamental assets of all rely. it is, in impact, the resistance that a body of remember gives to trade in its pace or position upon the application of pressure. The more the mass of a frame, the smaller the change produced with the aid of an applied force.

Mass is the amount of remembering in a physical frame. it is also a degree of the frame's inertia, the resistance to acceleration when a net force is applied. An item's mass additionally determines the electricity of its gravitational enchantment to different bodies. The SI base unit of mass is the kilogram.

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A car moves due to east a distance of 80km for 2hr then heads due to north a distance 80 km for 1hr and changing direction due to west and cover a distance of 25km for 1hr what is the resultant displacement

Answers

The resultant displacement of the car is 97.1 km.

What is resultant displacement?

The resultant displacement of an object is the shortest distance between the initial position and final position of an object.

The initial displacement of the car = 80 km due east

The second displacement of the car = 80 km due north

The final displacement of the car = 25 km due west

The resultant displacement of the car is the shortest distance between the initial displacement of the car and the final displacement of the car.

resultant vertical displacement = 80 kmresultant horizontal displacement = 80 km - 25km = 55 km

resultant displacement = √(80² + 55²)

resultant displacement = 97.1 km

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5. Stas is pushing his car which has broken down. He does 3KJ of work against friction
and moves it a distance of 12m. How big is the friction force he has to push against?

6. Sam is a pole-vaulter who has a mass of 80kg. He vaults to a height of 4m.
a) How much work does he do?
b) How much kinetic energy will he have just before he lands?
c) When he lands, his trainers compress by 1cm. Calculate the average force acting
on his trainers as he lands.

Answers

If Stas is pushing his car which has broken down and does 3 KJ of work against friction and moves it a distance of 12m, the friction force is 250 N

W = F d

W = Work done

F = Force

d = Distance

W = 3 KJ = 3 * 10³ J

d = 12 m

F = W / d

F = 3 * 10³ / 12

F = 0.25 * 10³

F = 250 N

Therefore, the friction force he has to push against is 250 N

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By what fraction would the diameter of the moon appear shortened to an observer in a rocketship travelling at a speed of 300km/sec with respect to the moon

Answers

The diameter of the Moon is around one-fourth (27.2%) of the diameter of the Earth.

what is diameter ?

A diameter of a circle would be any straight line segment that goes through the Centre of the circle and has ends that are on the circle. It can alternatively be described as the circle's longest chord. Both definitions are true for the diameter of a sphere.

In current parlance, the length d of a diameter is also referred to as the diameter. In this context, the diameter is used rather than the diameter (which corresponds to the line segment itself), since all diameters of a circle or sphere share the same length, which is twice the radius.

3476 km is the diameter of the moon (equator) 3472 kilometres 

The diameter of the Earth is 12756 km at the equator and 12742 km at the poles.

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A child pulls a waxed wooden sled across dry snow at a
constant speed with a 2.6 N force. What is the mass of the
sled?
(Answer to 1 decimal place with no units)

Answers

If a child pulls a waxed wooden sled across dry snow at a constant speed with a 2.6 N force, the mass of the sled is 6.63 kg

Since the waxed wooden sled is pulled across dry snow at a constant speed,

a = 0

∑ Fx = m ax

F - f = 0

2.6 - f = 0

f = 2.6 N

f = μ N

N = m g

f = Frictional force

μ = Co-efficient of friction

N = Normal force

m = Mass

g = Acceleration due to gravity

μ = 0.04

f = μ m g

2.6 = 0.04 * m * 9.8

0.392 m = 2.6

m = 6.63 kg

Therefore, the mass of the sled is 6.63 kg

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under what conditions of temperature and pressure would you expect gases to obey the ideal-gas equation?

Answers

Answer:

Gases obey the ideal-gas law at high temperatures and low pressures.

Explanation:

based on what you learned about families of galaxies, select all of the correct statements from the following list.
1. The nature of galaxies was not always understood.
2. The nuclei of spiral galaxies appear blue, due to the hot, massive stars.
3. There is no star formation in irregular galaxies.
4. Spiral galaxies do not have much dust in their disks.
5. The halos of spiral galaxies appear reddish, and contain little star formation.
6. There are three basic types of galaxies.
7. Elliptical galaxies do not make new stars.

Answers

The nature of galaxies was not always understood. The halos of spiral galaxies appear reddish, and contain little star formation. There are three basic types of galaxies, The elliptical galaxies do not make new stars. Thus, the correct option is 1, 5, 6, and 7.

What are galaxies?

Astronomers have classified galaxies into the three major categories which are elliptical, spiral, and irregular. These galaxies spans a wide range of their sizes, from dwarf galaxies which contains as few as 100 million stars to giant galaxies with more than a trillion stars.

The following are explained by the families of galaxies which include:

1. The nature of galaxies was not always understood.

2. There are three basic types of galaxies.

3. Elliptical galaxies do not make new stars.

4. The halos of spiral galaxies appear reddish, and contain little star formation.

Therefore, the correct options are 1, 5, 6, and 7.

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An experiment is set up and collects the following data


Force (N) Acceleration (m/s^2)

30 1.5

70 3.5

85 4.25


What is the mass of the object experimented on in this situation?


A. 10 kg


B. 15 kg


C. 20 kg


D. 25 kg

Answers

The mass of the object experimented on in this situations is 20 kg. So, option(C) is correct.

What is force?

A force is something that pushes or pulls an object. The objects' interactions with one another are what causes push and pull. Force can also be expressed using words like stretch and squeeze.

When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force in physics.

The product of mass (m) and acceleration (a) represents the amount of force (F). Mathematically speaking, the force equation or formula can be written as follows:

F = ma

According to given parameters:

Force = 30 N; acceleration = 1.5 m/s². So, mass = 30/1.5 kg = 20 kg.

Force = 70 N; acceleration = 3.5 m/s². So, mass = 70/3.5 kg = 20 kg.

Force = 85 N; acceleration = 4.25 m/s². So, mass = 85/4.25 kg = 20 kg.

Hence, the mass of the object experimented on in this situations is 20 kg.

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cheese is made of cheese

Answers

Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.

What is a dairy product?

Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.

Hence, cheese is made up of casein proteins that are present in the milk.

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HELP PLEASE ASAPPPP Draw a Free-Body Diagram for getting out of a seat . You are to explain how you get out of your chair in terms of EACH of Newton's Laws of Motion.

Answers

The forces that acts on the person who sits on a chair is balanced.

What is a free-body diagram?

We know that the free body diagram shows the forces that are acting on an object. We know that if the forces that are acting on an object are balanced, then the object does not move or accelerate.

If you sit on a chair, your weight and the normal reaction are exactly balanced as you sit on the chiar hence you do not move from the chain. As you rise from the chair, there is a small change in the forces as you move forward.

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please help !!!!!!!!!!!!!!

Randi has become very proficient at using Photoshop, but as a photojournalist cannot ethically alter photos except to do what?


fix people’s skin if they have blemishes


get rid of clutter in the background


change people’s hair color


adjust brightness

Answers

Answer:

the answer will be adjust brightness

Explanation:

thank you

The content of a photograph must not be altered in Photoshop or by any other means. No element should be digitally added to or subtracted from any photograph.

Do not manipulate images or add or alter sound in any way that can mislead viewers or misrepresent subjects. Do not pay sources or subjects or reward them materially for information or participation. Do not accept gifts, favors, or compensation from those who might seek to influence coverage.

In addition, it is unethical for individuals and institutions to alter images in order to fool their audience.

A boy pulls a wagon with a force of 6 N east, and another boy pulls the wagon with a force of 4 west. What is the net force?

A. 0 N

B. 10 N east

C. 10 N west

D. 2 N east

Answers

Answer: My answer is 2 N East

Explanation:

I chose this answer because since the 6 and 4 don't balance each other you have to subtract since it's unbalanced. So 6-4=2.

What is the momentum of a car with a mass of 1300 kg traveling with a speed of 28 m s?

Answers

The momentum of the car is 36,400 kg-m/s.

Momentum is defined as the product of mass and velocity of an object. It can also be defined as the measurement of mass in motion. It is a vector quantity as it possesses both magnitude and velocity. Newton's second law of motion states that the rate of change of momentum is equal to the force acting on the particle.

Given that, mass of the object m = 1300 kg

speed of the car = 28 m/s

Now, let us find out, momentum p = m × v = 1300 × 28 = 36400 kg-m/s

Thus, the momentum of the car is found out to be 36400 kg-m/s.

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Why are yeast good organisms for studying natural selection?

Answers

Yeast are good organisms for studying natural selection, because they reproduce very quickly.

The change in a population's heritable features over generations is a major evolutionary mechanism. The yeast are good organisms for studying natural selection because they can reproduce quickly.

What is natural selection?

The natural selection is defined as the mechanism through which living creature populations adapt and change. It states that the organisms which are able to survive and reproduce with the changing environment conditions are selected by nature.

The species which are not possible to survive are eliminated. The genes responsible for the survival of an organism are passed on to the successive generations.

Yeast is ideal for laboratory evolution experiments due to its short generation time and the separate haploid and diploid phases of its life cycle. It is cheap, its genetic material is easy to manipulate and it also grows quickly. Yeast cells are a good model organism.

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Peas have a diameter of about 0.1 cm. Estimate the number of peas that fit in a gallon jar

Answers

The number of peas that fit in a gallon jar is 7279634.

What is volume?

Space is occupied by every three-dimensional object. Its volume serves as a gauge for this space. The space contained by an object's limits in three-dimensional space is referred to as its volume

Given parameters:

Diameter of peas: d = 0.1 cm

Volume of the jar: V = 1 gallon = 3785.41 cm³.

Hence, radius of a pea: r = 0.1 cm /2 = 0.05 cm.

Volume of each pea = 4/3 πr³ cm³ = 4/3 π (0.05)³ cm³ = 0.00052 cm³

Hence, estimate number of peas that fit in a gallon jar = 3785.41 /0.00052  = 7279634.

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What is the cost per month to operate an A.C. 10hours per day whose power is 3kW and 1KWH cost 79francs

Answers

The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.

What is Power?

Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.

Cost of operation for 10 hours a day;

Daily consumption = 3kW x 10 hours

Daily Consumption = 30kW

Since 1kWH = 79 francs;

Daily consumption amount = 30 x 79 francs

Daily consumption amount = 2,370 francs

Therefore, the monthly consumption (using 30days) will be;

2,370 francs x 30 = 71,100 francs

In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.

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A roller coaster starts down a slope, its velocity is 4 m/s. But 3 seconds later, its velocity is 22m/s in the same direction. What
is its acceleration? Was this acceleration positive or negative? Why? Show your work and units. (use GRESA format)

Answers

The acceleration of the object is  6 m/s^2 in the positive direction.

What is the acceleration?

We know that the term acceleration has to do with the rate of the change of the velocity with time. Now we know know that  its velocity is 4 m/s. But 3 seconds later, its velocity is 22m/s in the same direction.

Thus using;

a = v - u/t

a = acceleration'

v = final velocity

u = initial velocity

t = time taken

Thus;

a = 22 - 4/3

a = 6 m/s^2

Thus we have that the acceleration is increasing in the positive direction.

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true or false: the vast size of our solar system makes it impossible for a large, civilization-threatening asteroid or comet to collide with earth.

Answers

Answer:

False. We have had MANY asteroids and comets collide into the earth in the time the earth has been created.

Explanation:

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What is the intensity of a sound wave with a relative intensity of 13.7 dB?

Answers

The intensity of a sound wave with a relative intensity of 13.7 dB is  5.01×10¹³w/m²(option -b).

How does the relative intensity of waves operate?

The "decibel level" of a sound is a less formal term for the relative intensity level. Relative intensity level differs from intensity in that it employs a logarithmic scale to more closely resemble how people perceive loudness.

Given,

The relative intensity of the sound wave= 13.7dB.

To calculate the intensity of the sound wave, we will use the formula provided by.

B = log₁₀I/I₀

When we factor the value of B into the previously mentioned relation and solve for I/I0, we get:

13.7dB = 10×log₁₀I/I₀

solving,

I/I₀ = [tex]10^{13.7}[/tex]

I/I₀ = 5.01×10¹³w/m².

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D
Question 1
1 pts
A ball is rolled off the edge of a table at a speed of 0.8 m/s. If the table is 0.75 m high, how
far away from the base of the table does the ball land?
I
1 pts

Answers

The ball will land 0.312m away from the base of the table.

What is the equation of motion?

The equations of motion are used to establish the relationship between the acceleration, velocity, time, and displacement of a moving object.

The equations of motion are represented in the form of mathematical expressions as follows:

[tex]v = u + at\\S = ut +\frac{1}{2} at^2\\v^2-u^2= 2aS[/tex]

Given, the height of the table, h = 0.75 m

The horizontal speed of the ball, v = 0.8 m/s

The initial speed of the ball, u = 0

From the third equation of motion, calculate the time:

[tex]S = ut +(1/2)at^2[/tex]

[tex]0.75 = \frac{1}{2} (9.8) t^2[/tex]

t = 0.39 sec

The horizontal distance can be calculated from the formula of the velocity:

Horizontal distance = v × t = 0.8 × 0.39 = 0.312 m

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In your own words describe the structure in and the functions of the cardiovascular system include the major organs and how they work within the body system what are the systems of a failure of this body system system

Answers

The circulatory system (cardiovascular system) pumps blood from the heart to the lungs to get oxygen

The heart, blood arteries, and blood make up the cardiovascular system. Its main job is to carry de-oxygenated blood back to the lungs and to carry nutrients and oxygen-rich blood to all regions of the body. Serious health issues may arise from abnormalities or damage to any one or all of the cardiovascular system's components. Coronary artery disease, heart attacks, high blood pressure, and stroke are common disorders that can have an impact on the cardiovascular system. In the body, there are two blood circulation systems. The systemic circulatory system comes initially. This is the primary blood circulation system that carries blood to all of the body's organs, tissues, and cells.

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What is the momentum of a 6.0 kg ball bowling with 9 velocity of 2.0 Metre per second?

Answers

the momentum of the 6 kg ball moving with haste of 2m/ s is 12 kgm/s.

In the question, we're given,

Mass = 6 kg

haste = 2 m/ s

According to the Newton's alternate law of stir it states that the instigation is the product of mass and the haste of the flyspeck. This instigation can be said as the measure of stir of the object. It's a vector volume and it has both magnitude and direction. It can be transferred. As the instigation of the system is conserved when no external force is applied on the system.

In this case,

momentum( p) = mv

Then,

m = mass

v = haste

momentum = 6 * 2

momentum = 12 kgm/ s

Thus, the momentum of the 6 kg ball moving with velocity of 2m/ s is 12 kgm/s.

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what is the parallax of a star that is 12.00 light-years away?

Answers

The parallax angle is the difference between the Earth's angular distance from a nearby star at different times of the year and six months later.

What is Another Earth Just 12 Light-Years Away?Three times closer to Earth than Alpha Centauri, the nearest star to our sun, Tau Ceti is only 12 light-years away. Tau Ceti is so similar to the sun that it was chosen as the first target by astronomer Frank Drake in 1960. Drake has long searched for radio signals from potential extraterrestrial civilizations. Only one in every twenty-five stars is like the sun in brightness, temperature, and size, yet Tau Ceti is a brilliant G-type yellow main-sequence star. Tau Ceti is also a single star system, meaning there isn't another star in the system whose gravity may tug planets away like Alpha Centauri, which also contains a G-type star and even a planet.The University of Hertfordshire in the United Kingdom and its astronomer Mikko Tuomi examined more than 6000 observations of Tau Ceti made with telescopes in Chile, Australia, and Hawaii. The star Tau Ceti may be reacting to gravitational pulls from five planets that are only about two to seven times as massive as Earth, according to the research team's report in Astronomy & Astrophysics. This conclusion is based on small changes in Tau Ceti's motion through space.

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A 177.3 gram mass is attached to a 85.3 cm long string which is tied to a support at the other end. The mass is pulled to the side and released so that it swings like a pendulum. At the lowest point of the circular path that the mass takes, it is moving at a speed of 1.33 m/s. Determine the force of tension in the string at this point in Newtons.

Answers

The force of tension in the string at  the lowest point of the circular path is 2.1 N.

What is the centripetal acceleration of the mass?

The centripetal acceleration of the mass is calculated as follows;

a = v²/r

where;

v is the linear speed of the mass = 1.33 m/sr is the radius of the mass = 85.3 cm = 0.853 m

a = (1.33²) / (0.853)

a = 2.07 m/s²

The force of tension in the string at  the lowest point of the circular path is calculated as follows;

T = ma + mg

T = m(a + g)

where;

g is acceleration due to gravitya is the centripetal acceleration of the massm is the mass, m = 177.3 g = 0.1773 kg

T = 0.1773(2.07 + 9.8)

T = 2.1 N

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Question 2
A bullet is shot horizontally at 207 m/s and it lands 192 m away. How high was the gun
above the ground? (no negative sign)
1 p

Answers

The height at which the gun is being held above the ground is 3.969 m.

What is the height above the ground?

In motion of object in physics and mathematics, we know that the formula for time taken is,

Time = Distance/Velocity

We are given;

Velocity; v = 207 m/s

Distance; d = 192 meters

Thus,

Time taken = 192/207

= 0.927 seconds

Due to acceleration due to gravity, the displacement of bullet along vertical direction y is gotten from newtons equation of motion,

y = ut + ¹/₂gt²

where,

u is initial velocity = 0 m/s

Thus,

y = 0 + ¹/₂(9.8)(0.9)²

y = 3.969 m

Thus, the height at which the gun is being held above the ground is 3.969 m.

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which sea creature has the most momentum

Answers

Sea creature that has the most momentum is Sea Turtle.

Momentum, manufactured from the mass of a particle and its pace. Momentum is a vector amount; i.e., it has each significance and route. Isaac Newton's 2nd regulation of movement states that the time fee of extrude of momentum is same to the pressure appearing at the particle. See Newton's legal guidelines of movement.

Momentum is described as the amount of movement of the frame.

It is measured by “mass × pace”, as momentum relies upon upon pace, and it relies upon at the route of the movement of the frame as well. Momentum is a vector amount due to the fact that pace is a vector at the same time as mass is scalar.

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Which of the following describes a vector? An animal that can serve as an alternative host or source of the pathogen for new infections A disease that was previously unknown or has recently begun spreading to a new region A disease-causing agent An animal that carries a pathogen from one host to the next What is the value of slope in Y =- 3x 2?. help me please 10pts Who was francisco pizarro and what was his role in ending the inca civilization?. Informal alternative dispute resolution (ADR) may result in a __________ agreement, whereby one party agrees to a payment in exchange for the other party's promise not to sue.settlement If you want a characteristic RL time constant of 1.00 s, and you have a 500 resistor, what value of selfinductance is needed?The time constant of an RL circuit is given as,(picture)Here, is the inductance andis the resistance. yale-educated revolutionized weapons manufacturing by devising a machine to make each part of a gun according to an exact pattern. [enter only one complete word per space and make sure to spell correctly and carefully.] What are the 4 main steps in the process of a bill becoming a law in GA?. help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! What force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on a second cylinder? the master cylinder has a 2. 00-cm diameter and the second cylinder has a 24. 0-cm diameter. Which best describes the quaternary structure of a protein?. True or false? achilles has not made up his mind to rejoin the battle until agamemnon formally apologizes before the greek leadership in iliad 19. A population has a mean =72 and a standard deviation =18. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=36. the suborder prosimians includes: group of answer choices only nocturnal species only diurnal species diurnal and nocturnal baboons diurnal and nocturnal lemurs which of the following reflects a hedge of net receivables in british pounds by a u.s. firm? a. purchase a currency put option in british pounds. b. sell pounds forward. c. borrow u.s. dollars, convert them to pounds, and invest them in a british pound deposit. What do you think is the purpose of creating a caricature or editorial cartoon found in the newspaper?. why do most measurement control situations include a r-chart along with the x-bar chart? group of answer choices it is important to measure and understand variability within a sample along with the sample averages. the r-chart is another way of measuring x-bar, so this turns out to be an extra check on the control of the sample averages. the r-chart is easier to calculate, so it is a way to be sure the worker doesn't make a mistake. the ups and downs of the x-bar chart should exactly match the ups and downs of the r-chart; if not, the process is out of control. none of the above is a correct answer. What kind of cases are heard in U. S. District court?. determine the minimum gauge pressure needed in the water pipe leading into a building if water is to come out of a faucet on the twelfth floor, 37 m above that pipe. on december 31 spearmint, incorporated, issued $450,000 of 9 percent, 3-year bonds for cash of $461,795. after recording the related entry, bonds payable had a balance of $450,000 and premium on bonds payable had a balance of $11,795. spearmint uses the straight-line bond amortization method. the first semiannual interest payment was made on june 30 of the next year. complete the necessary journal entry for june 30 by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.