significant digits show the _____ of measurements and calculations.

1) accuracy
2) precision

Answers

Answer 1
Significant digits show the precision of measurements and calculations

Related Questions

In order to decrease the friction an object experiences, you can either change
the surface it sits on or you can_______its weight.

Answers

Answer:

Reduce its weight

Explanation:

For an object on a flat surface, the maximum force of friction experienced by the object is given by:

[tex]F = \mu W[/tex]

where

[tex]\mu[/tex] is the coefficient of friction

W is the weight of the object

As we can see from the formula, there are two ways of reducing the  friction:

- Decreasing [tex]\mu[/tex] --> this coefficient depends on the material and on the roughness of the surface, so this can be changed by changing the properties of the surface

- Decreasing W, the weight --> this can be done by reducing the mass of the object

70 POINTS PLEASE HELP
I will report any answers that are incomplete or wrong

List the four fundamental forces. Give an example of a phenomenon that illustrates two of the forces.

Answers

Answer:

Gravitational force, Weak Nuclear force, Electromagnetic force and Strong Nuclear force. The weak and strong forces are effective only over a very short range and dominate only at the level of subatomic particles. Gravity and Electromagnetic force have infinite range.

Marie Curie and her husband Pierre were Henri Becquerel's graduate students when Becquerel
discovered spontaneous radiation. In 1903, the Curies shared the Nobel prize for physics with Becquerel.
Based on The Discovery of Radioactivity, which statement best describes Becquerel's influence on
Marie Curie's work with radioactivity?
O
O
Becquerel proposed the concept of radiation and Marie Curie reproduced his experiments.
Becquerel's work proved that radiation was far too dangerous for anyone to experiment with.
Marie Curie's work with Becquerel made her more curious and prompted her to research and
experiment with radioactivity.
Marie Curie was such a talented scientist that Becquerel's work did not have any influence on her
discoveries.
O

Answers

Answer:

It is C on edge.

Explanation:

Because I just figured it out and got it right and because it says so in the link provided from the question.

Answer:

the answers is c

Explanation:

just did it on edge

A car travels 12 kilometers due north and then

8 kilometers due west going from town A to

town B. What is the magnitude of the displacement

of a helicopter that
ies in a straight line from

town A to town B?​

Answers

Answer:

14.42km

Explanation:

Given that the car traveled 12km due north, then 8 km due west going from town A to B, this can be represented on x-y plane as ( vectors) 12 units up and the 8 units to the left .

In doing so , the magnitude of displacement will be the square-root of the sum of squares of the two vectors

Magnitude =[tex]\sqrt{12^2+8^2} \\\\=\sqrt{144+64} \\\\\\=\sqrt{208} \\\\\\=14.42km[/tex]

If a  car travels 12 kilometers due north and then 8 kilometers due west going from town A to town B. The magnitude of the displacement of a helicopter that flies in a straight line from town A to town B will be 14 km

Using this formula

Magnitude of the displacement=√North kilometers ²+West kilometers ²

Where:

North=12 kilometers

West=8 kilometers

Let plug in the formula

Magnitude of the displacement=√12²+8²

Magnitude of the displacement=√144+64

Magnitude of the displacement=√208

Magnitude of the displacement=14 km

Inconclusion If a  car travels 12 kilometers due north and then 8 kilometers due west going from town A to town B. The magnitude of the displacement of a helicopter that flies in a straight line from town A to town B will be 14km

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A man pushes a lawn mower with a force of 25 newtons. The lawn mower has a mass of 17 kilograms and the handle makes an angle of 60 degrees with the horizontal. How much work is done if the lawn mower is pushed a total of 500 meters

Answers

Answer:

6250 J

Explanation:

Work is the distance times the component of the force along that distance.

The horizontal component of the force is:

25 N × cos(60°) = 12.5 N

So the work done is:

W = (500 m) (12.5 N)

W = 6250 J

To calculate the work done by the man on the lawn mower, we use the formula Work = Force  imes Distance times cos( heta). The horizontal component of the force is determined and then multiplied by the distance to get a total work done of 6250 joules.

Calculating Work Done When Pushing a Lawn Mower

To calculate the work done on an object, you can use the formula Work (W) = Force (F) times Distance (d) times cos( heta), where  heta is the angle between the force and the direction of movement. For the man pushing the lawn mower, the force is 25 newtons, the distance is 500 meters, and the angle is 60 degrees with the horizontal.

First, calculate the horizontal component of the force:

Fhorizontal = F times cos(heta)

Fhorizontal = 25 N times cos(60°)

Fhorizontal = 25 N times 0.5

Fhorizontal = 12.5 N

Next, calculate the work done using the horizontal component of the force:

W = Fhorizontal times d

W = 12.5 N times 500 m

W = 6250 J (joules)

Therefore, the work done by the man on the lawn mower when pushing it 500 meters is 6250 joules.

The gravitational force between two objects is 2400 N. What will be the gravitational force between the objects if the mass of one object is doubled
600N
1200N
4800N
9600N

Answers

Answer:

4800N

Explanation:

Lets assume,

Mass of first object = m₁

Mass of second object = m₂

Distance between the two objects = r

Thus the force between the two objects will be

[tex]F = \frac{G\times m_{1}\times m_{2}}{r^{2}}[/tex]

where, G = Universal gravitational constant

Given, F = 2400N

New mass of second object = 2m₂

Now, the force will be

[tex]F_{2} = \frac{G\times m_{1}\times 2m_{2}}{r^{2}}[/tex]

[tex]F_{2}= 2\frac{G\times m_{1}\times m_{2}}{r^{2}}[/tex]

[tex]F_{2}= 2F[/tex]

[tex]F_{2}= 2\times2400[/tex]

Thus, F₂ = 4800N

What effect does distance have on the force of gravity?

A - Increasing the distance between two objects increases the gravitational force.

B - Decreasing the distance between two objects decreases the gravitational force.

C - Increasing the distance between two objects decreases the gravitational force.

D - Distance is not a factor in determining the force of gravity.

Answers

Answer:

The answer is increasing the distance between two objects decreases the gravitational force. which is C

The effect does distance have on the force of gravity is increasing the distance between two objects decreases the gravitational force. Therefore, option C is correct.

What is gravitational force ?

The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity.

Any two mass-containing objects are attracted to one another by the gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive.

According to legend, Isaac Newton developed the theory of gravitation around 1665 or 1666 after observing an apple fall and wondering why it fell straight down rather than sideways or even upward.

Thus, option C is correct.

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How do you find velocity on a position/time graph?

Answers

Well, to find velocity, you need to divide the change in position by the change in time. So on your graph, find two points. Find the change in position and time in those two points, these can be any two points on the graph. Then you can divide the change in position by the change in time. (I know this explanation is confusing so hopefully what I included below can help.)

Velocity =   x1 - x2  divided by t1 - t2

x1 = final position   x2 = initial position

t1 = final time          t2 = initial time

Hopefully this helps!

Starting at 48th Street, Dylan rides his bike due east on Meridian Road with the wind at his back. He rides for 20 min at 15 mph. He then stops for 5 min, turns around, and rides back to 48th Street; because of the headwind, his speed is only 10 mph.

Answers

Answer:

55 min

Explanation:

The missing question is: how long does the trip take?

First of all, we need to find the initial distance covered by Dylan. In the first part, he rides for

[tex]t_1 = 20 min = \frac{1}{3}h[/tex]

at a speed of

v = 15 mph

therefore, the distance he covered is

[tex]d = v t_1 = (15)(\frac{1}{3})=5 mi[/tex]

Then Dylan stopped for a time of

[tex]t_2 = 5 min = \frac{5}{60}=\frac{1}{12}h[/tex]

Finally, on the way back, Dylan covered again this distance but travelling at a new speed of

v = 10 mph

So, the time he took is

[tex]t_3 = \frac{d}{v}=\frac{5}{10}=\frac{1}{2}h = 30 min[/tex]

So, the total time of the trip was

[tex]t=t_1 + t_2 + t_3 = 20 min + 5 min + 30 min = 55 min[/tex]

Final answer:

Dylan's bike ride involves displacement and average velocity. He ends up back at the starting point after riding a certain distance and direction with the wind and then against the wind, resulting in a final displacement of zero miles.

Explanation:

This question involves the concept of displacement and average velocity.

Dylan rides his bike east for 20 minutes at a speed of 15 mph. The distance he travels can be calculated by multiplying the speed by the time: (15 mph) x (20 min) = 300 miles. Since he rides in a straight line, his displacement is also 300 miles east.

After turning around and riding back, Dylan travels at a speed of 10 mph. In the opposite direction, his displacement will be the negative value of his initial displacement: -300 miles.

Overall, his final displacement is the sum of his initial displacement and his opposite displacement: 300 miles + (-300 miles) = 0 miles. This means that Dylan ends up back at the starting point, 48th Street.

What is the value of work done on an object when a 50–newton force moves it 15 meters in the same direction as the force?
A.
435 joules
B.
97.3 joules
C.
750 joules
D.
693 joules

Answers

Answer:

Work done, W = 750 joules

Explanation:

It is given that,

Force acting on the object, F = 50 N

It moves to a distance of, d = 15 meters

We need to find the work done on an object. We know that the product of force and distance covered is called the work done. As the force and the displacement are in same direction. So,

[tex]W=F\times d[/tex]

[tex]W=50\ N\times 15\ m[/tex]

W = 750 joules

So, the work done on an object is 750 joules. Hence, this is the required solution.

Final answer:

The work done on the object is 750 joules, calculated by the formula work equals force times distance, using the given values of a 50-newton force and a 15-meter distance.

Explanation:

The work done on an object can be calculated by using the formula W = F × d × cos(θ), where W is the work done, F is the force applied, d is the distance over which the force is applied, and θ is the angle between the force and the direction of motion. Since the force and the direction of motion are the same in this case, θ = 0 degrees and cos(0) = 1, thus the equation simplifies to W = F × d. The force exerted is 50 newtons, and the distance is 15 meters, so the work done on the object is W = (50 N) × (15 m) = 750 joules.

Distinction between eutrophication and artificial eutrophication

Answers

Difference between Eutrophication and Artificial Eutrophication

Eutrophication is defined as the process where there is excessive nutrients available in a water medium. There are two types of eutrophication process called as man-made eutrophication or artificial eutrophication and natural eutrophication.

As the name implies natural eutrophication occurs naturally without any external factor. Whereas artifical eutrophication is stimulated by external factor as it is forced by human activity. Eutrophication is imposed artificially so that to maintain a proper state of equilibrium is to reduce water pollution.

Eutrophication refers to the natural process of nutrient enrichment in bodies of water, while artificial eutrophication is the accelerated process caused by human activities.

1) Cause: Eutrophication occurs naturally from sources like sediment erosion and decaying organic matter. Artificial eutrophication is caused by human activities such as agriculture, sewage, and industrial discharges.

2) Rate and Timescale: Eutrophication is a slow, natural process occurring over centuries or longer. Artificial eutrophication is rapid and occurs within a shorter time frame.

3) Nutrient Sources: Eutrophication is driven by natural sources like weathering of rocks and soils. Artificial eutrophication is primarily caused by human sources such as agricultural runoff and sewage discharge.

4) Ecological Impact: Eutrophication can have ecological impacts, but artificial eutrophication often leads to more severe consequences like harmful algal blooms, oxygen depletion, and disruption of aquatic ecosystems.

5) Control and Prevention: Eutrophication is challenging to control as a natural process. Artificial eutrophication can be mitigated by implementing nutrient management practices, wastewater treatment, and land-use regulations.

In summary, eutrophication is the natural process of nutrient enrichment, while artificial eutrophication is the accelerated process caused by human activities, leading to more severe ecological impacts.

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List and Explain three ways study groups benefit your learning

Answers

Answer:

Explanation:

Find a new perspective.

The other members of the study group will have different ideas and perspectives to their own, thus generating different ways of understanding a topic. When you study, you only have one vision, however, by doing it in company, your own knowledge is enriched and you can understand the concepts globally.

Motivation

It is another advantage of studying in a group. Being alone, he turns around before sitting down to study, looking for excuses and wasting time. On the other hand, when having a study appointment, you must meet a schedule, taking advantage of the moment to just study. They will also encourage each other to continue studying. In short, you cannot postpone studies as you would if you were studying alone.

Eliminate boredom.

Joining a study group generally makes the act of studying a little less monotonous. You should try to put together a group with those who understand the subject and are responsible, and the ideal is to enjoy the entire study process in company.

Answer:

Look at things from a different angle.

Other members of the study group will have different views and viewpoints than they do, resulting in a variety of approaches to a topic. When you study, you only have one vision; but, when you do it in a group, your knowledge expands and you may grasp topics more broadly.

Motivation

Another benefit of studying in a group is this. He turns around before settling down to study because he is alone, looking for reasons and wasting time. When you have a study appointment, on the other hand, you must stick to a timetable and use the time to study. They will also motivate one another to keep learning. In other words, you won't be able to postpone your studies like you would if you were studying alone.

Explanation:

Which statement best explains why elements are matter?

A) The building blocks of elements are small particles called atoms.
B) Elements are pure substances that cannot be divided chemically.
C) Each element is a pure substance composed of one type of atom.
D) An element is a physical substance that has mass and takes up space.

Answers

Choice D, as if it takes up mass then it is matter

A loaf of bread weighs 1362 g. The weight in kilograms is
a. 001362 kg.
c. 01362 kg.
b. 1362 kg.
d. 1.362 kg.

Answers

the answer is d. i hope this helps :D

A loaf of bread weighs 1362 g. The weight in kilograms is 1.362 kg. The correct option is d.

The weight of a loaf of bread is 1362 grammes, or 1.362 kilogrammes. Since there are 1000 grammes in a kilogramme, you must divide the weight in grammes by 1000 to convert it to kilogrammes. So, 1.362 kg is the weight in kilogrammes.

The conversion choice "d. 1.362 kg" gives the right weight of the bread in kilogrammes, appropriately representing this conversion.

Thus, the correct option is d.

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Pllsss help Which of the following is a force acting between objects that do not touch? Normal force
Frictional force Electrical force Applied force

Answers

Electrical force because it’s not necessary touching any object that would be considered normal force.

Answer:

Electrical force

Explanation:

Of the options given, the electric force is the only force that acts at a distance, that is, it is not necessary for two objects to be in physical contact for there to be electric force between them (Another example of force acting at a distance is the force of gravity.).

Instead, forces such as the normal force, friction force, and applied force all need contact between objects to take effect.

For example if an object does not touch the surface the normal force is null.

think about Newton's second law. when designing a rocket ship, what could be adjusted in the design to provide more acceleration?​

Answers

Answer:Newton's second law is not sufficient to explain rocket's design or requirements it also involves momentum

Explanation:by solving some equations involving newton's second law and momentum we get this Ma=mv M is mass of rocket and m is mass of gases so a=mv/M so as the time passes mass of rocket decreases due to burning of fuel and acceleration a increases

A heavier rocket requires more force to accelerate. Newton's second law, sometimes written as a=F/m, states that the heavier an object, the more force is required to accelerate it.

What is Newton's second law?

It implies that the time rate of change of a momentum is equal in magnitude and direction to the force applied to it. A body's momentum is equal to the product of its mass and velocity.

The amount of force produced by a rocket engine is determined by the amount of rocket fuel burned and the rate at which gas escapes the rocket (second law).

The reaction, or motion, of the rocket is equal to and in the opposite direction of the engine's action, or force (third law).

To accelerate, a heavier rocket requires more force. Newton's second law, sometimes written as a=F/m, states that the more force required to accelerate an object, the heavier it is.

Thus, this way, it could be adjusted in the design to provide more acceleration as a greater force will result in a greater acceleration, so a greater force will accelerate a rocket more.

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Place these bodies of our solar system in the proper order of formation.
outer planets
Inner plants
solar nebula
the Sun
planetesimals

Answers

Answer:

solar nebula, the sun, planetesimals, inner planets, and last but not least outer planets

Answer:

1. Solar Nebula

2. The Sun

3. Planetesimals

4. Inner planets

5. Outer planets

Explanation:

A star is formed in a molecular cloud of gas and dust, mainly composed of hydrogen and helium. The Nebular Theory establishes, for the formation of the solar system, that the cloud starts to collapse under its own gravity when it receives a shock wave from a near event, for example, a supernova explosion. That results in the cloud breaking in small pieces, and those pieces constitute a possible future star.

Then it begins to accrete and rotate as a consequence of the angular momentum. In the center of that disk when it reaches the necessary temperature and pressure a protostar will born.

Around the star, in this case the Sun, fragments of dust combine until they get a meaningful size (planetesimals). According with chemical distribution on the disk of the future solar system, rocky and iron were closer to the Sun and gasses and ice were in the outer part of disk. That may explain why the inner planets are terrestrial and the outer planets are giant gasses.


Why is it important to keep the temperature and the amount of water the same when testing surface area?

Answers

Answer:

The temperature and the amount of water need to be kept the same so that the only variable that changes is the surface area. If you allow the temperature and/or the amount of water to change too, you will not know which variable is causing the changes that you observe.

Explanation:

During  testing surface area, it is important to keep the temperature and the amount of water same so that can can act as control variable.

What is control variable?

Anything kept constant or constrained in a research study is referred to as a control variable. Despite not being relevant to the study's objectives, this variable is controlled because it might have an impact on the results.

Variables can be controlled either directly by maintaining their value throughout a study (for example, by maintaining a constant room temperature in an experiment) or indirectly by using techniques like randomization or statistical control (e.g., to account for participant characteristics like age in statistical tests). Research biases like omitted variable bias can be avoided by including control variables in your analysis.

As surface area of water is changeable to the temperature and the amount of water, during  testing surface area, it is important to keep them same so that can can act as control variable.

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An observation is received directly or indirectly by


Hearing


Seeing


Tasting/touch


All of the above

Answers

Answer:

All of the above

Explanation:

because these are all senses of the body and therefore you're receiving signals from all of them all the time

Answer:

D. All of the above.

Explanation:

An observation is received directly or indirectly by all of the above. When observing things, you need to visually be able to see what is being observed, and be able to touch hear and even taste. This ensures that you can get the best out of the observation.

suppose you found a yellow piece of metal in a stream how can you tell if it's real gold​

Answers

Answer: you can tell if its gold by seeing if the rock it is found in is quartz.  or you could put the gold up to a magnet, if it is real gold, it will not stick.

Explanation:

The metal piece found can be tested to clear whether it is gold or not by performing some qualitative analysis using nitric acid. If its dust dissolve in the acid, then it is not gold.

What is gold?

Gold is a transition metal and it is 79th element in periodic table. Gold exhibits all the metallic properties such as malleability, ductility, luster, color etc. Thus, it is widely used to make ornaments.

To test whether the yellow piece of metal is gold or not rub it on a black stone to leave a recognizable mark in order to conduct this test. Apply nitric acid to the mark after that. Any base metals that aren't genuine gold will dissolve in the acid.

Similarly  a few drops of vinegar is  applied to the item. It is not pure gold if the drops cause the metal to change hue. It is pure gold if the color remains the same.

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A force of 20 newtons is required to push a 30 kg cart 40 meters across a room. From this effort, how many joules of work are performed?

Answers

Answer: 800 Joules

Explanation:

The Work [tex]W[/tex] done by a Force [tex]F[/tex] refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path with distance [tex]d[/tex].  

Work is a scalar, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:  

[tex]1J=(1N)(1m)=Nm[/tex]  

Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel (as this case), the equation to calculate it is:  

[tex]W=(F)(d)[/tex]

Where:

[tex]F=20 N[/tex]

[tex]d=40 m[/tex]

Then:

[tex]W=(20 N)(40 m)[/tex]

[tex]W=800 Nm=800 J[/tex]

The Pacific Giant Kelp grows at a rate of 18 in/day. How many centimeters per hour is this?

Answers

For this case we must do a conversion. By definition we have to:

1 inch equals 2.54 centimeters

1 day equals 24 hours.

So, we have:[tex]18 \frac {in} {day} * \frac {1} {24} \frac {day} {h} * \frac {2.54} {1} \frac {cm} {in} =[/tex]

Canceling units we have:

[tex]\frac {18 * 1 * 2.54} {24 * 1} \frac {cm} {h} =\\\frac {45.72} {24}\frac {cm} {h} =[/tex]

[tex]1,905 \frac {cm} {h}[/tex]

Answer:

[tex]1,905 \frac {cm} {h}[/tex]

Answer:

1.905cm

explanation:

The velocity of a an object in linear motion changes from +25 meters per second to +15 meters per second in 2.0 seconds.

Answers

Answer:

[tex]-5.0 m/s^2[/tex]

Explanation:

Missing question:

What is the object's acceleration?

Solution:

The acceleration of an object is given by

[tex]a=\frac{v-u}{t}[/tex]

where

v is the final velocity

u is the initial velocity

t is the time taken for the change in velocity

For the object in this problem,

u = +25 m/s

v = +15 m/s

t = 2.0 s

Substituting,

[tex]a=\frac{15-25}{2}=-5.0 m/s^2[/tex]

And the acceleration is negative because its direction is opposite to that of the velocity.

What is sound advice for people becoming better listeners?

People should show appreciation for what the speaker is saying.

People should pay attention to what the person is actually saying, not to what his or her actions and voice are implying.

People should offer advice only when it is actionable and applicable.

People should use their own words when restating the speaker’s message for understanding.

Answers

Answer:

People should show appreciation for what the speaker is saying.

Explanation:

An experiment is conducted using 2 plants to determine if the amount of sunlight they receive affects how fast they grow. Which should be true about this experiment, based on good experimental design? An experiment is conducted using 2 plants to determine if the amount of sunlight they receive affects how fast they grow. Which should be true about this experiment, based on good experimental design?

Each of the plants should be planted with different types of soil.

Both plants should receive the same amount of sunlight each day.

Each of the plants should be planted with different types of fertilizer.

1 plant should receive sunlight each day, and 1 plant should never receive sunlight.

Answers

Greetings!

The correct answer choice is Choice 4.

Why?

In a scientific experiment the only thing being changed is the independent variable. Everything else should stay the same.

In this experiment, the independent variable is the amount of sunlight each plant should receive. Here's a tip- when looking for and independent variable look for whats being changed on purpose.

Hope this helps!

~Fluerie

6. Light is characterized by which two properties?

Answers

Final answer:

Light exhibits wave-like properties, such as wavelength and frequency, as well as particle-like properties represented by photons, illustrating the wave-particle duality.

Explanation:

Light is characterized by its wave-like properties and particle-like properties, a concept known as wave-particle duality. As a wave, light is described by properties such as wavelength (the distance between consecutive peaks of the wave) and frequency (the number of wavelengths that pass a point in a given time).

Light's behavior as a particle is evident in phenomena like the photoelectric effect, where light is seen to consist of particles called photons.The combination of wave and particle properties provides a comprehensive framework for explaining the diverse behaviors observed in different experimental contexts.

What is 220 DU in ppm?

Answers

Answer:

0.022

Explanation:

Answer:

o.o22

Explanation:

hope this helps

thank you say thanks to me ok

the following is the most reasonable weight in units of newtons for an average adult? 120 N 27 N 1000 N 603 N

Answers

Answer:

The most reasonable weight for an average adult is 603 A ⇒ last answer

Explanation:

The weight of an adult = gm, where m is the mass and g is the  

gravitational acceleration

The gravitational acceleration is approximately 9.8 m/s

We need to find the most reasonable weight in units of newtons for an

average adult

The weight is 120 N

w = mg

120 = m(9.8)

Divide both sides by 9.8

m = 12.24 kg

The weight is 27 N

27 = m(9.8)

Divide both sides by 9.8

m = 2.76 kg

The weight is 1000 N

1000 = m(9.8)

Divide both sides by 9.8

m = 102.1 kg

The weight is 603 N

603 = m(9.8)

Divide both sides by 9.8

m = 61.5 kg

From the all the answers above the most suitable mass of an adult

is 61.5 kg, then the most reasonable weight for an average adult is

603 N

The most reasonable weight for an average adult is 603 A

What is a physical change in matter?

Answers

Answer:Physical changes involve states of matter and energy.

Explanation:

No new substance is created during a physical change, although the matter takes a different form. The size, shape, and color of matter may change. Physical changes occur when substances are mixed but don't chemically react.

Final answer:

A physical change is when matter changes its form or properties without changing its chemical identity, such as melting ice or evaporating water.

Explanation:

A physical change is a type of change in which the form of matter is altered but its identity remains the same. For example, when an ice cube melts, it goes from a solid to a liquid (Figure 1.2.3); this change alters its shape and allows it to flow, yet the chemical composition of water (H₂O) does not change. Another instance is when water vaporizes; the temperature and energy of water molecules increase leading to evaporation, turning liquid water into water vapor (H₂O (l) → H₂O (g)), without altering the molecular structure.

Sorting a mixture of pennies and nickels changes the arrangement of the coins without changing their properties. Similarly, tearing a piece of paper changes its shape and size, but it remains paper. These examples show that during a physical change, the arrangement of particles may change, but the mass, number of atoms, and number of molecules stay the same.

If one object is 103 km away and a second object is 106 km away, one could say that the second object is _____ times further away than the first object.

Answers

Final answer:

The second object at 106 km is approximately 1.03 times further than the first object at 103 km. For proper comparison, both distances should be in the same unit, after which simple arithmetic can reveal the relation between the two.

Explanation:

When comparing distances, it's essential to express both measurements in the same unit to clearly understand which is greater or by how much one is greater than the other. For example, if one object is 103 km away and a second object is 106 km away, we are actually comparing two distances that are already in the same unit, kilometers. In this case, 106 km is merely 3 km farther than 103 km; it is not a multiple times further. To establish a ratio of the greater distance to the lesser one, we can divide 106 by 103, which gives us approximately 1.0291262, meaning the second object is approximately 1.03 times further away than the first object, not a whole multiple times further.

For a better understanding, let's consider the examples given:

For the distances of 743 km and 74.3 km, once both are expressed in the same unit, it's clear that 743 kilometers is greater than 74.3 kilometers, illustrating how to compare two different distances.When comparing 2 km and 400 meters, converting the 400 meters to kilometers (0.4 km) shows that 2 kilometers is greater than 0.4 kilometers.For comparing a running race of 5000 meters with another race of 10 kilometers, once you convert 5000 meters to 5 kilometers, it is evident that 10 kilometers is greater than 5 kilometers.


Therefore, it's important to compare distances thoughtfully, ensuring they are expressed in the same units to accurately determine the comparison.

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