A 75-kg merry go round worker stands on the ride's platform 4.5 m from the center and her speed as she goes around the circle is 4.1 m/s. a) Draw a sketch of the scenario. b) Determine the force of friction necessary to keep her from falling off the platform. c) How far does she travel after 1 revolution? d) What is the period T (in seconds) after 1 revolution? Round answers to nearest tenth.

Answers

Answer 1

The friction that is necessary to keep her from falling off the merry go round is 280.16N, the distance travelled in one revolution is 28.28 meters and the time period T after in revolution is 6.89 seconds.

The mass of the worker is 75 kg, the radius of merry go round is 4.5m and the linear velocity of the merry go round is 4.1m.s.

a) The diagram is attached below.

b) The friction force while rotation will be equal to the centrifugal force, this is the reason why he will be able to go round,

So, we can write,

Friction force Fr = Centrifugal force

Fr = MV²/R

Where Fr is the friction force,

M is the mass of the worker,

V is the velocity of the merry go round,

r is the distance at which the worker is standing.

Putting all the values,

Fr = 75 x 4.1 x 4.1/4.5

Fr = 280.16N.

The friction required is 280.16N.

c) The distance she travelled by her after the first round will be equal to the circumference of the circle,

Distance = 2Πr

D = 2 x 22 x 4.5/7

D = 28.28m

d) time period T after one revolution,

T = Distance/velocity

T = 28.28/4.1

T = 6.89 seconds.

The time period is 6.89 seconds.

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Related Questions

in astronomy, it is important to look for trends in your data. based on the average latitude and rotation period of each sunspot, what is the trend for rotation period as it relates to latitude?

Answers

A time of "solar maximum" (or "solar max") is when the number of sunspots peaks, whereas a time of "solar minimum" is when they are few (or "solar min").

Every year, a different amount of sunspots are seen on the "surface" of the Sun. This cycle, which has an average duration of about eleven years, explains the rise and decline in sunspots counts. The "Sunspot Cycle" is the term used to describe the cyclical change in sunspot counts that was first observed in 1843 by German amateur astronomer Samuel Heinrich Schwabe. A time of "solar maximum" (or "solar max") is when the number of sunspots peaks, whereas a time of "solar minimum" is when they are few (or "solar min").

A recent sunspot cycle, for instance, lasted from the solar minimum in 1986, when 13 sunspots were observed, to the solar max in 1989, when more than 157 sunspots surfaced, and on to the subsequent solar minimum in 1996 (ten years after the solar minimum in 1986), when the number of sunspots had decreased to less than 9.

Through the course of the sunspot cycle, both the quantity and location of sunspots change. Sunspots typically start to emerge around a latitude of 15° closer to the equator as the solar cycle advances through solar max. Sunspots begin to appear relatively close to the solar equator, at about 7° North and South latitude, as the cycle comes to an end and solar min is once again approaching.

Around solar min, when sunspots of the current cycle are forming at low latitudes and sunspots of the next cycle are starting to form at high latitudes once more, there is frequently an overlap in this latitudinal migration tendency. Spörer's Law is the name given to the progressive equatorward drift of sunspots that occurs throughout the sunspot cycle and was originally observed in the early 1860s by the German astronomer Gustav Spörer and the Englishman Richard Christopher Carrington. Another English astronomer, Edward Walter Maunder, created the first "butterfly diagram" in 1904, which was a pictorial representation of this trend in sunspot migration.

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If an astronaut weighs 148 N on the Moon and 893 N on Earth,
then what is his mass on Earth?

Answers

Answer:

So, at moon g’=1.62 m/s^2

Therefore, mg’=99N (as given , where m is the mass )

so, m=99/1.62 =61.11 kg

hence, weight on earth will be mg( where g is the acceleration due to gravity at earth, 9.8m/s^2)

61.11*9.8=598.878 N will be the weight on earth

Explanation:

hope it helps

a twist of 4 n m is applied to the handle of the screwdriver. resolve this couple moment into a pair of couple forces f exerted on the handle and p exerted on the blade. (10 points)

Answers

For nuclear meeting It should be used on a school bus driver's handle. Adapt to the outcome this couple force into a couple moment occurred to be that implies that we must act now to find a better situation.

Open to a nuclear meeting It is intended to be used on a school bus driver's handle. respect the outcome This couple of forces occurred to be in a couple at this time. That suggests that at this moment, we need to discover a better situation and start acting.

And at this time, 400 people are throwing up. Toe in toe is what is known as a couple of forty meters. As the radius of the handle is 30 millimeters in this instance, you can translate it to meters and use the force to draw up on a spot rather four upon it. Are you in favor of addressing this issue? 1 33 nuclear will be Therefore, one till people comprehend that is supposed f.

Now, we must determine a slow speed consent business. Once more, a boardroom mingled. I am. Carletto is a PVR as well. In contrast to the original five meters, Cal critic M is supplied four on a separated radius of five millimeters.

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Whats a support force

Answers

According to the given information A support force that completely balances the weight of an object at rest.

What is an example of support force?

The normal force is another name for a support force. With the same amount of power as the book's downward weight, the table pushes up on the book. A support force—the upward force that balances an object's weight on a surface—holds the book steady on the table.

What sources does support force have?

Pull force attributed to another item, such as "Pull attributed to Steve." The force here is identical to the push force, but it is directed at the thing that is pulling. Support force resulting from the ground (or from the object's surface): When two solid surfaces come in contact with one another, support force arises.

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The complete question is -

What is a support force ?

A negative charge of -200 C and a positive charge of 800 C are separated by 0.3 m. What is the force between the two charges? Is this force attractive or repulsive?

Answers

The electric force between the two charges is 1.6 x 10¹⁶ N  and it attractive.

What is electric force between the charges?

The electric force between the charges is determined by applying Coulomb's law of electrostatic force as shown below.

F = kq₁q₂/r²

where;

r is the distance between the chargesk is coulomb's constantF is the force between the charges

F = (9 x 10⁹ x 200 x 800) / (0.3²)

F = 1.6 x 10¹⁶ N

Thus, the electric force between the two charges is 1.6 x 10¹⁶ N  and it attractive.

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What is the frequency of light when the energy of a single photon is 1. 48 × 10-15 j?.

Answers

The frequency of light  is 3.88x10^23Hz

E = 1.55 x J/ mol

E = hv

v = (1.55 x /1mol  x 1mol/6.023 x )/6.626 x 10^34

velocity = 3.88x10^23 s-1

since 1 Hz = 1/ s = 1

velocity =3.88x10^23 Hz

The portion of the electromagnetic spectrum contains the electromagnetic radiation that the human eye perceives as light or visible light. Visible light typically possesses wavelengths between 400 and 700 nanometers (nm) or frequencies between 750 and 420 terahertz, which are halfway between infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).

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Sample question: What is the frequency of light when the energy for a mole of photons is 1. 55 × 1013 j?.

Some students were measuring the volume of a cube shaped wooden block. They
measured the length to be 5.08 cm, the width to be 5.09 cm, and the height to be
5.10 cm. The actual volume of the block was 15.3 cm3
. What was their percent
error?

Answers

Answer:

See below

Explanation:

CALCULATED volume from their measurements:

5.08 X 5.09 X 5.10 = 131. 9   cm^3

( I think you my have the "The actual volume of the block was 15.3 cm3" incorrectly posted)

(131.9 - 15.3) / 15.3     x 100 % =  762 %  error !!!!!

               

a wave has an amplitude of 2 cm (y-direction) and a frequency of 12 hz, and the distance (x-direction) from a crest to the nearest trough is measured to be 5 cm. determine the velocity of the wave.

Answers

120 centimeters per second, is the wave speed or wave velocity.

How fast do waves travel?

Wave velocity is the amount of distance a wave travels in one unit of time. The rate at which a particle disturbance like a crest or trough or compression or rarefaction spreads in a medium is known as the particle's propagation speed.

Given,

Amplitude (A) = 2cm,

Frequency (f) = 12hz,

Time period [tex]T=\frac{1}{f} =\frac{1}{12} s[/tex]

The horizontal distance between the closest peak or trough, respectively, is referred to as the wavelength. A crest's distance from the closest tough was specified. The distance between a crest and the closest crest is therefore two times that distance.

This is the wave length :

λ=(2)(5)

=10cm

The wave velocity or wave speed is given by:

v = λf

v=(10)(12)

=120 cm/s

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What energy is there that is conserved in a trebuchet 

Answers

There is potential energy that is preserved in a trebuchet.

Describe potential energy.

Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has more potential energy when it is raised above the surface of the earth than when it is brought to Earth.

potential energy

The counterweight in a trebuchet contains a lot of potential energy because it is quite heavy. Although energy cannot be produced or destroyed, it can take on several forms. The lifted counterweight's potential energy is converted into kinetic energy, or the energy of motion, as it is released and starts to descend.

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A gas occupies 1.56 L at 20 Pa. What will be the volume of this gas if the pressure becomes 40Pa?

Answers

Answer:

Hope the picture will help

air is contained in a rigid tank with a volume of 2 m3, initially at 10 bar and 300 k. heat is transferred to the tank until its temperature reaches 400 k. during this process a pressure-relief valve allows air to escape and maintain the pressure constant at 10 bar. neglecting kinetic and potential energy variation e↵ects, and using ideal gas equations with constant specific heat at 300 k, determine, (a) the mass of air that escapes the tank (in kg), and (b) the amount of heat transferred to the tank.

Answers

Mass of air that escapes the tank is M =2.8075 kg and  the amount of heat transferred to the tank is Q = 1008.942 kj

In physics, mass is a numerical representation of inertia, which is a basic characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence. The change a force applies produces a change that is smaller the more mass a body has. The kilogramme, which is defined in terms of Planck's constant as equal to 6.62607015 1034 joule second, is the unit of mass in the International System of Units (SI). One kilogramme times one square metre per second squared is equivalent to one joule. Accurate measurements of Planck's constant are used to determine the kilogramme since the second and the metre are already defined in terms of other physical constants.When a body breaks up into fragments, the mass also breaks up into bits, thus the total mass of all the pieces equals the original mass.

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How much force is required
to accelerate a 10 kg mass
upward with a rate of
5 m/s²?

Answers

A force is a power that has the ability to alter an object's motion. A force can modify, or accelerate, the velocity of a mass-containing object. Intuitively, pushing or pulling can be used to describe force. As a vector quantity, a force is one that has both magnitude and direction.

The definition of magnitude is simply "distance or quantity." It displays an object's size, direction, or motion in absolute or relative terms. It is employed to indicate the size or scope of something.

The two main categories into which forces can be separated are: Forces in contact. Non-contact forces

A force can be appropriately described as a push or a pull. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another.

F = m * a kgm/s2 in SI base units

F = 10 * 5 = 50 N

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On the kickoff, the football was in the air for 4 seconds before hitting the ground 53 meters away. How fast did the ball leave the foot of the kicker?

Answers

Answer:

Vx = 53 m / 4 sec = 13.25 m/s       horizontal speed

Vy = 2 sec* 9.80 m/sec^2 = 19.6 m/s      vertical speed

V = (13.25^2 + 19.6^2)^1/2 = 23.7 m/s

Check:

Range = V^2 sin 2θ / g

tan θ = 19.6 / 13.25 = 1.48     θ = 55.9 deg

R = 23.7^2 sin 112 deg / 9.8 = 53.1 m

1. How does the transfer of momentum change when the velocity of the marble change?

2. How does the transfer of momentum change when the mass (number of marbles) changes?

3. How could you calculate the momentum of a single marble?

4. If two marbles together are moving at the same speed as a single marble which will have greater momentum and why?

5. Can momentum be shown as a vector? Explain why or why not?

Answers

The transfer of momentum increases when the velocity of the marble increases and vice versa.

The transfer of momentum increases when the mass (number of marbles) increases and vice versa.

The momentum of a single marble can be calculated from the product of its mass and velocity.

If two marbles together are moving at the same speed as a single marble, the two marbles will have greater momentum because of their greater mass.

Momentum can be shown as a vector because the direction of the momentum of a body is specified.

What is the momentum of a body?

The momentum of a body is the product of the mass and the velocity of the body.

Mathematically;

Momentum = mass * velocity

Since the velocity of an object is a vector, the momentum of a body is also a vector.

The momentum of a body is directly proportional to its mass and velocity.

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(Celestial body all natural bodies visible in the sky outside the earth atmosphere constitute the celestial bodies example stars planets their moon comet asteroid meteors)
Is artificial satellite a Celestial body
Celestial bodies are natural bodies so can we say artificial satellite is not a Celestial body??

Answers

An artificial satellite can be called a celestial body as it orbits around a planet.

Objects in space such as the sun, moon, planets, and stars are known as celestial bodies or heavenly bodies. Satellites are revolving bodies that orbit planets. They are the fundamental component of celestial bodies. These could be transmitted by humans or be of natural origin.

The moon orbits the earth as a natural satellite because it is held in place by the gravity of the planet. Additionally, man has positioned artificial or man-made satellites in orbit around the earth and other planets for communication and scientific research.

As a artificial satellite also orbits around a natural celestial body, it can be called as a celestial body.

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The most energetic region of the electromagnetic spectrum is the microwave region. True or false?.

Answers

False. The most energetic region of the electromagnetic spectrum is NOT the microwave region. It is the Gamma rays.

What are Gamma rays?
The electromagnetic radiation with the shortest wavelength and maximum energy is known as a gamma ray. The wavelengths of gamma radiation are often less than a few tenths of an angstrom (1010 meter), yet the energy of gamma photons exceed tens of thousands of electron volts.

Gamma rays are created when radioactive atomic nuclei break apart and when certain subatomic particles decay. Pair annihilation, in which two photons are formed along with the disappearance of an electron and its antiparticle, a positron, also results in the production of gamma rays. Additionally, they can be produced when some unstable subatomic particles, such the neutral pion, decay.

Therefore, The most energetic region of the electromagnetic spectrum are gamma rays.

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3. Which kinematic equation should you use if you are trying to solve for time, but do not know displacement?

Answers

The kinematic equation should you use if you are trying to solve for time, but do not know displacement is v[f] = v[o] + at.

What is Kinematics?

Kinematics is the branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.

Given are the equations of motion.

If the displacement is not given, then we can solve for time using the first equation of motion given by -

v[f] = v[o] + at

In this equation, there is no term involving displacement. We can solve for time as follows -

v[f] = v[o] + at

v[f] - v[o] = at

t = (v[f] - v[o])/a

Therefore, the kinematic equation should you use if you are trying to solve for time, but do not know displacement is v[f] = v[o] + at.

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blank are scientist who study living things.

Answers

Answer:

Biologist >

Explanation:

A biologist is a scientist who examines organisms that are alive.

:)

Carlos does a chin-up in gym class and raises himself 0.8 m. If Carlos has a mass of 62 kg how much work does he accomplish?​

Answers

Answer:486.1 J

Explanation:

. a high diver steps off a diving platform that is 10 meters above the water. if no air resistance is present, during the fall there will be a decrease in the diver's * 1 point a) gravitational potential energy. b) total mechanical energy. c) kinetic energy d) energy caused by friction force

Answers

Option a if no air resistance is present, during the fall there will be a decrease gravitational potential energy in the drives.

Resistance is the characteristic of an electric circuit or a component of an electric circuit that converts electrical energy into thermal energy when an electric current is present in the opposite direction. The current-carrying charged particles that make up the conductors' structure collide with fixed particles during resistance. Resistance is frequently thought of as being confined in objects like lamps, heaters, and resistors where it predominates, despite the fact that it is a property of all circuit components, including connecting wires and electric transmission lines. Resistance is the degree to which a substance obstructs or opposes an electric current.  Consider the example of a person battling to go from one stop to another in a crowded market to better understand resistance.

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I’m not sure how to solve this equation but it’s about physics

Answers

The values of velocity at point  A,C,E and G is 15m/s, the values of velocity at point B, D, F and H is 10m/s, 20m/s, 30m/s and 40m/s respectively.

The projectile is launched from the top of the cliff with a horizontal velocity of 15m/s.

Throughout the motion of the projectile the velocity will have two components. On along vertical and one along horizontal.

Here, the direction of the acceleration is only downwards because only gravity is there and that in only downwards direction.

There is no acceleration in the horizontal direction. So, the velocity in the horizontal direction will never change.

So, the velocity at A,C,E and G is 15m/s throughout the motion.

We know that,

t = √(2h/g)

h = 1/2gt²

Where,

H is height of the cliff at that point,

t is the time,

g is gravity which is equal to 10m/s².

So, the height at point,

B is 1/2(10)(1)² = 5m

D is 1/2(10)(2)² = 20m

F is 1/2(10)(3)² = 45m

H is 1/2(10)(4)² = 50m.

The vertical velocity can be found by using the formula,

V = √2gh

So, vertical velocity at point,

B is √2(10)(5) = 10m/s.

D is √2(10)(20) = 20m/s.

F is √2(10)(45) = 30m/s.

H is √2(10)(80) = 40m/s.

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2 and 23/75 as a percentage

Answers

2 and 23/75 as a percentage is 2.30666666666. Hope this helps! :)

the lower tank weighs 224 n, and the water in it weighs 897 n. if this tank is on a platform scale, determine the weight that will register on the scale beam.

Answers

The weight that will register on the scale beam is 1121 N.

What is the weight of an object?

The weight of an object is a measure of the force of gravity acting on a body on the earth's surface.

The weight of an object is calculated as follows:

weight = mass * acceleration due to gravity

The unit of weight is Newtons.

Considering the data given:

The weight of the lower tank is 224 N

The weight of the water in the tank is 897 N

Total weight of the tank and the water = 224 + 897 = 1121 N

This will be the total weight that will register in the scale beam.

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5. A student rolls a marble from a lab bench and then the marble rolls off the table. The table is 91
cm high and the marble lands 50 cm from the table.
a.
What is the minimum horizontal speed the marble needs to achieve this horizontal
distance?
b. What is the vertical velocity of the marble before it hits the ground (vertical impact
velocity)?
I
6. A water bottle has a small hole which in turn causes a small leak. The leaking water shoots out
of the side of the bottle horizontally with a speed of 2 m/s. if the water bottle is held 1.5 meters
from the ground, how far out will the water travel?

Answers

The acceleration caused by gravity, or 9.81 m/s², which acts on the object, causes the projectile's vertical velocity to vary.

What is meant by vertical velocity ?

A projectile's horizontal velocity is constant (a never changing in value), Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion exists unrelated to its horizontal motion.

The acceleration caused by gravity, or 9.81 m/s², which acts on the object, causes the projectile's vertical velocity to vary. Therefore, this choice is likewise false. As is common knowledge, an object's vertical velocity is not constant, and momentum is a function of velocity.

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at certain times of the year, five planets can be seen from earth, including mars and what other planet?

Answers

Mercury, Venus , Mars , Jupiter and Saturn are much seen planets.

What is planets ?

A planets is a body that is in orbit around the sun has sufficient Mars for it's self-gravity to overcome rigid body forces so that it assumes nearly round shape.

In simple words we can say any of the large bodies that revolve around the sun in the solar system called planet.

The current count orbiting our star there are eight planet but earth, mercury, Venus , Jupiter and Mars are much visible .

So,

At certain times of the year these 5 planets can be seen from earth .

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4 Applications of named material with high specific heat capacity​

Answers

Water has the highest specific heat capacity.

The specific heat capacity is measured in J/(kg K) or J/(kg °C), and it is the amount of heat (J) absorbed per unit mass (kg) of the material when its temperature rises by 1 K (or 1 °C).

Applications of water with highest specific heat capacity​ are:

Fomentation: Hot water bottles are employed for this process because, despite producing a lot of heat, the water stays hot for a long period inside the bottle. Water is utilized as a coolant in automobile radiators. It can absorb a lot of heat energy from the car's engine thanks to its high specific heat capacity, but its temperature doesn't get too hot.Bottled Wines: Wine bottles are stored submerged in water in colder areas. The time it takes for the temperature to drop to 0 C is due to the large specific heat capacity of water.

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A car is coasting backward downhill at a speed of
3
.
0

m
/
s
when the driver gets the engine started. After
2
.
5

s
, the car is moving uphill at
4
.
5

m
/
s
. If uphill is chosen as the positive direction, what is the car’s average acceleration?

Answers

The car’s average acceleration is 3m/s².

What is the Car's average acceleration?

The average acceleration in the question measures the change in the velocity of the car by the time it used to cover the distance.

Average acceleration of the car is the change in the velocity of the car by the change in the time the car traveled.

ΔVelocity = 4.5m/s -( -3.0m/s)

                = 7.5m/s

The initial velocity is negative 3.0m/s as the car started  moving  backwards.

The time is 2.5s

The

The average acceleration of the car = 7.5m/s ÷ 2.5s

                                                            = 3m/s²

In summary, the car coasting backward downhill at an initial speed of 3.0 m/s would have an average acceleration of  3m/s² After increasing the speed to 4.5 m/s at a time of 2.5s.

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2. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.

Answers

The total time taken by the feather to fall to the surface of moon will be 1.29 seconds.

Given is a feather dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s².

State second equation of motion.

The second equation of motion is -

S = ut + 1/2 at²

We can write -

[S] = 1.4 m

[a] = 1.67 m/s²

[u] = 0 m/s

Using the second equation of motion -

S = ut + 1/2 at²

S = 1/2 at²

1.4 = 1/2 x 1.67 x t²

1.4 = 0.835 x t²

t = 1.29 seconds

Therefore, the total time taken by the feather to fall to the surface of moon will be 1.29 seconds.

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You are sitting on a couch watching TV, and although your little sister can not produce enough force to get you to move over, your dad can. This situation is a metaphor for which of Newton's laws of motion?

The law of acceleration
The law of action-reaction
The law of gravity
The law of motion

Answers

The situation provided to us is a metaphor for Newton's first law of motion.

Newton's law of motion consists of three laws for the motion of a body, Where Newton's first law of motion states that An object at rest remains at rest, and an object in motion remains in movement at a steady speed and in a straight line unless acted on by an unequal force. Newton’s first law states that each object will stay at rest or in uniform motion in a straight line unless compelled to alter its state by the action of an outside drive. This tendency to stand up to changes in a state of motion is inertia. On the off chance that all the outside strengths cancel each other out, then there's no net drive acting on the object. In case there's no net constraint acting on the object, at that point the object will keep up a consistent speed.

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Why is speed the magnitude of velocity?

Answers

Yes, Speed is the magnitude of its velocity.


What is speed?

Speed is a scalar, while velocity is a vector (just a number). A velocity, on the other hand, has both a direction and a magnitude. As previously stated, the magnitude of the velocity is referred to as the speed.

The speed of a moving object is the distance it travels in a given amount of time.

The distance travelled divided by the time gives the average speed of an object in a given time. The speed of an object is defined as the distance travelled per unit of time. When the speed of an object changes, it becomes faster or slower. When the speed of an object increases, this is referred to as acceleration. Deceleration, also known as negative acceleration, occurs when an object slows down as its speed decreases.


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What was the result of the Puebloan Revolt?A. The Spanish colonists and Puebloan peoples formed an alliance,but it did not last.B. The Spanish colonists fled the Puebloan peoples' region but laterreturned.OC. The Spanish colonists allowed the Puebloan peoples permanentcontrol of the region.D. The Spanish colonists successfully destroyed the Puebloanpeoples' culture. if you answer beans u r a chad beans A dealership tracks the correlation between the age of its used cars and asking price for the car. The regression line is y = 12,338 930x, where x is the age of the car, in years.Which statements are true regarding this model? Check all that apply. For every one year in age, the price is predicted to increase by $930. For every one year in age, the price is predicted to decrease by $930. If the car is new, the car is predicted to cost $12,338. If the age of the car is 1 year, the price is predicted to be $12,338. Determine whether the graph represents a function. What type of communication provides powerful analytics that allow entrepreneurs to determine the effectiveness of their communication efforts?O A. Interior communication .OC.Nonverbal communicationSocial media communicationD. Creativity communication 20. A room is 24 feet long and 15 feet wide. How much will it cost to cover the floorwith carpet costing $36 a square yard if an extra 4 square yards must be purchasedfor matching?Answer Identify the cultural context revealed in "Through the Tunnel."A.not an English-speaking countryB.on the coastC.English heritageD.rocky bay area 2. Maryse went for a bike ride. She rode at a constant speed, an she traveled 7 miles in one hour.Maryse wrote the equation y=7x to model her bike ride, where x is the time Maryse spent riding,and y is the distance she traveled.a. Maryse uses her equation to estimate that she rode 14 miles in the first two hours of her trip.Did she use her equation correctly? Explain why or why not. Ensure to write the equation withthe appropriate numbers plugged in.b. Maryse uses her equation to predict that she would travel 40 miles if she rode for four hours.Did she use her equation correctly? Explain why or why not. irrational decision making in markets results in: externalities. evidence that the rational rules do not lead to their claimed outcomes. some supply decisions not matching marginal costs, and some demand decisions not reflecting marginal benefits. consistent overproduction. Put the following words in alphabetical orderHomework, teacher, lessons, questions a nurse is admitting a 6-year-old child after a tonsillectomy to the surgical unit. the nurse obtains the client's weight and places electrocardiogram (ekg) leads on the chest and a pulse oximeter on the left finger. the client's heart rate reads 100 bpm and the pulse oximeter reads 99%. these readings best indicate: PLEASE HELP SUPER FAST AND ILL GIVE BRAINLEST Describe in words a sequence of transformations that maps ABC to A''B''C''.Write an ordered-pair rule for each transformation in the sequence. WILL GIVE BRAINLIESTA middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $120, and the club is charging $10 per student that attends.Which graph describes the relationship between the amount of money raised and the number of students who attend the dance? graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 100 graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 140 graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 140 graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100 below to explore the central ideas and supporting details in "Escape to Freedom.1. Reread the section "A Bleak Time." Which statement below BEST expresses the central idea ofthis section? pls help me with African american history What were William's total fixed and variable expenses during the first year of college? Select the correct answer from eachdrop-down menu. rust industrial systems company is trying to decide between two different conveyor belt systems. system a costs $320,000, has a four-year life, and requires $117,000 in pretax annual operating costs. system b costs $400,000, has a six-year life, and requires $111,000 in pretax annual operating costs. both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. whichever project is chosen, it will not be replaced when it wears out. the tax rate is 21 percent and the discount rate is 10 percent. calculate the npv for both conveyor belt systems. please help me!! 25 points! Businesses use organizational design to structure theirGroup of answer choices Convert 50 degrees Fahrenheit to degrees celcius