Goal: Use dimensional analysis to solve conversion problems. 1. Observe: In the question, you are asked to convert kilometers to centimeters. To do this, first you will convert kilometers to meters. Drag the 1000 meters/1 kilometer tile down. A. What do you notice? __________________________________________________ B. Because kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis. How many meters are in 0.828 kilometers? ________________________________ C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact, does your answer to B make sense? ______________________________________

Answers

Answer 1

Answer:

A. The kilometers unit is cancelled out and the result shown is 828 meters.

B. 828 meters are found in 0.828 Kilometers

C. Yes

Explanation:

A. When the 1000 meters/1 kilometer tile is dragged down, the kilometers unit is cancelled out and the value 828 meters appears.

This is because the kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis.

B. 0.828 Kilometers * 1000 meters/1 kilometer = 828 meters

Therefore, there are 828 meters in 0.828 kilometers.

C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact, it does make sense that 0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

Answer 2

(A) The process of converting units by canceling is called dimensional analysis.

(B)  There are 828 meters in 0.828 kilometers.

(C) It does make sense that  0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

The given problem is based on some basic fundamentals and applications of dimensional analysis. So as per the given problem, each subpart says,

A.

When the 1000 meters/1 kilometer tile is dragged down, the kilometers unit is cancelled out and the value 828 meters appears.

This is because the kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis.

Thus, we can conclude that the process of converting units by canceling is called dimensional analysis.

B.

Converting the given value of kilometers into the meters as,

0.828 Kilometers * 1000 meters/1 kilometer = 828 meters

Thus, we can conclude that there are 828 meters in 0.828 kilometers.

C.

A meter is a much shorter unit of measurement than a kilometer. Based on this fact, it does make sense that 0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

Thus, we can conclude that it does make sense that  0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

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Related Questions

A 30 kg mass sits on a level surface with a coefficient of friction of .2. What net force is necessary to accelerate it
at 3 m/s2?

Answers

Answer:

Explanation:

Idk

Which of the following is TRUE about velocity?

a if velocity changes the object could be speeding up
b if velocity changes the object could be slowing down
c an object with constant velocity is at rest
d Constant velocity is velocity that doesn’t change
e if velocity changes it is accelerating

Answers

Answer:

A

Explanation:

Velocity is when something fast moves

I hope i helped

d) constant velocity is velocity that doesnt change.

its not a, because if it changes you dont know for sure whether or not its speeding up or slow
ing down. its not always going to be speeding up.

its not b either for the same reason, but because its changing doesnt mean that its just speeding/slowing down

not e either since acceleration is different from velocity, you use velocity to find acceleration but this is just wrong.


hope this helped:)

Boron (B) has an atomic number of 5 and an atomic mass of 11. Boron has _____.

5 electrons
6 electrons
11 electrons
16 electrons

Answers

Answer:

the answer is 5 electrons

Explanation:

because its the same name as the amount of protons

The answer is 5 electrons

Need help asap I am confused and this is making my brain hurt

Answers

Answer: The answer is D.

Explanation: Momentum can be defined as mass in motion. All objects have mass so if an object is moving, then it has momentum it has its mass in motion. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.

A rock on the ground weighs 40N. How much force does the ground exert on the rock?

A. 20n
B. 0N
C.40n

Answers

Answer:

The correct option is;

C. 40 N

Explanation:

Given that the rock is on the ground, we have;

The weight of the rock, [tex]F_W[/tex] = 40 N ↓

From Newton's third law of motion, we have that action and reaction are equal and opposite,

Therefore, given that the weight of the rock exerts a force of 40 N on the ground, and the rock is stable and stationery on the ground, then the ground is reacting to the weight of the rock with an equal force of 40 N, acting in opposite direction to the weight of the block to balance the weight of the rock and create equilibrium such that the net force acting on the rock is zero

∑F = [tex]F_W + F_R[/tex] = 0

Where;

[tex]F_R[/tex] = The reaction of the ground

We have;

[tex]F_W[/tex] + [tex]F_R[/tex]= 40 + [tex]F_R[/tex]  = 0

[tex]F_R[/tex] = 0 - 40 = -40

[tex]F_R[/tex] = -40 N ↓

∴ [tex]F_R[/tex] = 40 N ↑.

Answer:

C, 40N

Explanation:

What is the reason for converting units?

Answers

Answer:

Unit conversion is very important because the rest of the world other than three countries uses the metric system. So, converting units is important in science because it uses the metric system. The metric system is measurements like cm, m, l, mL, etc...

Explanation:

Units can: Help to show another person the exact amount you have. Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer. Show which measurement system the person is using (i.e. metric or standard)

Hope this helps :)

Newtons first law of motion states that if the net force on an
object is
then the motion of the
object does not change.
Hurry please!

Answers

Answer:

Newton's first law of motion describes inertia. According to this law, a body at rest tends to stay at rest, and a body in motion tends to stay in motion, unless acted on by a net external force.

If the net force on an object is zero, then the motion of the object does not change.

What is Newton's first law of motion?

According to Newton's first law, a body will stay at rest or continue to move in a straight line at a constant speed if it is at rest or moving in that direction without being subjected to external forces. In truth, moving uniformly in a straight line and remaining at rest have very little in common, according to classical Newtonian mechanics; they can both be thought of as the same state of motion as seen by different observers, one of whom moves at the same speed as the particle and the other who moves at constant speed in relation to the particle. The law of inertia is a name for this premise.

Newton's first law of motion states that if the net force on an object is then the motion of the object does not change.

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What is the method of charging called?

Answers

The answer is conduction

a cup of tea is mixutre true or false​

Answers

Answer:

this is very true

Explanation:

I I should know I'm a tea fanatic

PLEASE HURRY!

Zach listed the process of how laser beams are produced with crystals.

A flashlamp pumps energy through the crystal.
Atoms in the crystal absorb and then release some of the energy as light.
Light bounces off mirrors and occasionally bounces off crystal atoms, increasing in energy.
Some light escapes the tube through the highly reflective mirror, forming a concentrated beam.

Which best describes Zach’s error?

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal.
The atoms in the crystal do not release energy; they only absorb energy.
Light does not bounce off mirrors; it focuses through glass lenses.
Light escapes through the partially reflective mirror, not the highly reflective mirror.

Answers

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal best describes Zach’s error.

What is a laser?

A device that uses stimulated emission of photons from excited atoms or molecules to produce a strong beam of coherent monochromatic light is a laser.

When electrons in optical materials like glass, crystal, or gas absorb energy from an electrical current or light, a laser is formed.

The increased energy excites the electrons, causing them to migrate from a lower-energy orbit around the nucleus to a higher-energy orbit.

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal. This statement is incorrect.

Hence Option A best describes Zach’s error.

To learn more about the laser refer to the Link ;

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Answer:

D. Light escapes through the partially reflective mirror, not the highly reflective mirror.

Explanation:

edge 2022, I took the test.

. A person 200 m from a store walks directly away from the
store at a constant velocity of 2.5 m/s for 65 s. How far is
the person from the store now?

Answers

Answer:

362.5 m away

Explanation:

Given a constant velocity of 2.5m/s, a time of 65s, and the initial displacement 200m or initial position. Displacement is basically the difference between the objects position regarding time.

The final displacement is found by: s = 1/2(v+v1)t + s1. Since the velocity is constant, the final velocity will be the same as the initial. S = 1/2(2.5m/s+2.5m/s)65 + 200 m = 2.5m × 65 m + 200m = 162.5m + 200m = 362.5m

Convert 6.6 meters to centimeters

Answers

Answer:

660 centimeters

Explanation:

There are 100 cm in 1 m. To convert from m to cm, multiply by 100.

[tex]6.6 \times 100 = 660[/tex]

There are 660 cm in 1 m.

680 cm


hope this helps

Technological design leads to the development and innovation of new technologies.

Which statements represent innovation? Check all that apply.

Solar panels have increased in efficiency over the past 20 years.

The Sun is the primary source of energy for the solar system.

Alternative energy sources are one method for meeting energy needs.

Amore aerodynamic automobile uses less fuel.

Natural selection ensures that only the fittest survive.

Answers

Answer:

Solar panels have increased in efficiency over the past 20 years.

Alternative energy sources are one method for meeting energy needs.

Amore aerodynamic automobile uses less fuel.

Explanation:

Innovation is defined as the introduction or development of something new.  Innovation is an idea that is transformed into reality using technology and knowledge.

Statements that represent innovation are:

Using solar panels with more efficiency is an innovation because earlier it was less efficient but using knowledge and technology, they created a solar panel with increased efficiency.The use of alternative energy methods is an innovation because no one has thought before that they can use any other alternative sources of energy. for example: use of water to generate electricity rather than only drinking. Amore aerodynamic automobile uses less fuel. It is innovative to make a device that uses less fuel in comparison to other automobiles and it is an innovation with advantages to natural resources and the environment.

Hence, the correct options are: "A, C, and D".

18. What do you call a change in state from a liquid to a gas?

Answers

Answer:

evaporation

Explanation:

ANSWER: vaporization
EXPLANATION: Matter changes between the liquid and gas states through vaporization and condensation. Vaporization As liquid water is heated, its temperature rises. until it reaches 100°C. At this point, liquid water changes into water vapor. The change from a liquid to a gas is known as vaporization

How do you calculate the radius of a planets orbit with mass and time ?

Answers

Answer:

By observing the time between transits, we know the orbital period. Kepler's Third law can be used to determine the orbital radius of the planet if the mass of the orbiting star is known (R3=T2−Mstar/Msun, the radius is in AU and the period is in earth years).

Explanation:

hope this helps!

The speed of a river boat is 40 km/h and the rate of flow of the

river is 8 km/h. Moving along the same direction as the flow of

the river, the boat traveled 240 km. Calculate the distance the

boat could travel going against the stream in the same time

period.

Answers

Answer:

Distance the boat would travel going upstream = 160 km

Explanation:

First, the time of travel of the boat downstream is calculated.

Time of travel = distance/speed

distance = 240 km;

speed of travel = 40 + 8 = 48 km/h ( since the boat is going downstream)

Time = 240/48 = 5 hours

Therefore, the boat travels for 5 hours.

The distance the boat will travel in 5 hours going upstream is then calculated

distance = speed * time

speed of boat  going upstream = 40 - 8 = 32 km/h

Distance = 32 km/h * 5 hours = 160 km

The average speed of a runner in an 800 meter race was 7.0 meters per second. How
long did it take the runner to complete the race?

Answers

Answer:

114.29s

Explanation:

average speed = distance/Time

Given

speed = 7m/s

distance = 800m

Required

Time taken by the runner to complete the race

From the formula:

Time = Distance/speed

Time = 800/7

Time = 114.29seconds

Hence it took the runner 114.29s to complete the race

PLEASE HELP !!

In order to describe the velocity of an object, which three pieces of data are needed?

Answers

Distance from the reference point

Write a multiple-choice question that requires the reader to understand that velocity and acceleration can have opposite signs.

Answers

Answer:

Please find the answers in the below explanation

Explanation:

Example of a multiple-choice question that requires the reader to understand that velocity and acceleration can have opposite signs is;

to consider a body that is moving with a speed of 20m/s and coming to rest by  decelerating at about 4m/s^2

in this scenario,

The acceleration will be negative. That is, -4m/s^2

The final velocity V will be equal to zero. that is, V = 0

And the initial velocity U will be positive, That is, U = 20m/s

In the example above, you will notice that the initial velocity and the acceleration are of the opposite sign.  

a train starting from a distance of velocity of 90 km.h
-1 in 10 minutes assuming that the acceleration is uniform find the acceleration and the distance travelled by the train for attending the velocity​

Answers

To make this problem solvable and you can get the help you need, I'll complete and arrange some data.

Answer:

Acceleration: [tex]0.0417\ m/s^2[/tex], Distance=7,500 m

Explanation:

Uniform Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly over time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}\qquad\qquad [3][/tex]

The problem will be rewritten as follows:

A train starting from rest reaches a velocity of 90 km/h in 10 minutes. Assuming that the acceleration is uniform, find the acceleration and the distance traveled by the train for attending the velocity​.

Let's take the relevant data:

vo=0

vf=90 Km/h*1000/3600 = 25 m/s

t = 10 minutes = 10*60 = 600  seconds

Now compute the acceleration by using [3]:

[tex]\displaystyle a=\frac{25-0}{600}=0.0417[/tex]

[tex]a=0.0417\ m/s^2[/tex]

Finally, compute the distance:

[tex]\displaystyle x=0*600+\frac{0.0417\cdot 600^2}{2}[/tex]

[tex]x=7,500\ m[/tex]

Note: We used the value of the acceleration with more precision than shown.

Acceleration: [tex]\mathbf{0.0417\ m/s^2}[/tex], Distance=7,500 m

Which statement accurately describes a balanced force?

Answers

Answer:

a balanced force is when two forces equal each other out and therefor the object is not in motion.

Explanation:

What is the correct answer?

Answers

The last three.......

Answer:

biking / jogging/ running, walking

Explanation:

Cardio workouts can strengthen your heart and blood vessel

An object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below. (a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second? (b) What is t the first time that the object is at its farthest right? (c) At the time found in part (b), what is the object's velocity? (d) At the time found in part (b), what is the object's acceleration?

Answers

Answer:

a.) 10Hz

b.) 0.1 s

c.) 187.4 m/s

d.) -412.6 m/s^2

Explanation:

Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.

(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?

from the equation given,  the angular speed w = 20π

but w = 2πf

where f = frequency.

substitute w for 20π

20π = 2πf

f = 20π/2π

f = 10 Hz

(b) What is t the first time that the object is at its farthest right?

since F = 1/T

T = 1 / f

T = 1/10

T = 0.1 s

Therefore, the t of  first time that the object is at its farthest right is 0.1 s

(c) At the time found in part (b), what is the object's velocity?

The velocity can be found by differentiating the equation;

x(t) = 3sin(20πt)

dx/dt = 60πcos(20πt)

where dx/dt  = velocity V

V = 60πcos(20π * 0.1)

V = 187.4 m/s

(d) At the time found in part (b), what is the object's acceleration?

to get the acceleration, differentiate equation  V = 60πcos(20πt)

dv/dt = -1200πSin(20πt)

dv/dt = acceleration a

a = -1200πSin(20πt)

substitute t into the equation

a = -1200πSin(20π * 0.1)

a = - 412.6 m/s^2

The type of motion the object undergoes that consist of a back-and-forth

movement that is repetitive is a simple harmonic motion.

The correct responses are;

(a) Number of complete back-and-forth motions per second is 10(b) The first time is after 0.025 seconds(c) Velocity is 0(d) Acceleration is approximately -11843.53 m/s²

Reasons:

The equation that represents the motion of the object is x(t) = 3·sin(20·π·t)

Where;

t ≥ 0

x(t) is in cm, and t is in seconds.

(a) The general sine function is y = A·sin(B·(t - C) + D

[tex]\mathrm{The \ period \ P} = \dfrac{2 \cdot \pi}{B}[/tex]

By comparison, we have;

B = 20·π

Therefore;

[tex]P = \dfrac{2 \cdot \pi}{20 \cdot \pi} = \dfrac{1}{10} = 0.1[/tex]

The period, which is the time to complete one cycle = 0.1 seconds

The number of cycle completed per second, is the frequency, f

[tex]f = \dfrac{1}{P} = \dfrac{1}{0.1} = 10[/tex]

f = 10 Hz = 10 cycles

The number of cycle completed per second is f = 10 cycles

(b) When the object is at the farthest right, we have;

sin(20·π·t) = Maximum = 1

[tex]\mathbf{sin\left(\dfrac{\pi}{2}\right)} = 1[/tex]

Therefore,

[tex]20 \cdot \pi \cdot t = \dfrac{\pi}{2}[/tex]

[tex]t = \dfrac{\pi}{20 \cdot \pi \cdot 2} = \dfrac{1}{40} = 0.025[/tex]

The first time it is at the farthest right is t = 0.025 seconds after start

(c) [tex]\mathrm{Velocity, \ v, \ is \ given \ by \ v = \dfrac{dx(t)}{dt}}[/tex]

Therefore;

[tex]v = \dfrac{dx(t)}{dt} = \dfrac{dx(t)}{dt} \left(3 \cdot sin \left(20 \cdot \pi \cdot t \right) = 60\cdot \pi \cdot cos \left(20 \cdot \pi \cdot t \right)[/tex]

At t = 0.25 seconds, we have;

[tex]v = \dfrac{dx(t)}{dt} = 60\cdot \pi \cdot cos \left(20 \times \pi \times 0.025 \right) = 0[/tex]

The velocity of the object at the t = 0.025 seconds is v(t) = 0

(d) Acceleration, a, is given by [tex]a = \dfrac{dv(t)}{dt}[/tex]

Therefore;

[tex]a = \dfrac{dv(t)}{dt} = \dfrac{d}{dt} \left( 60\cdot \pi \cdot cos \left(20 \times \pi \times t\right) \right) =-1200 \cdot \pi ^2 \cdot sin(20 \cdot t \cdot \pi)[/tex]

a = -1200·π²·sin(20·t·π)

∴ a = -1200×π²×sin(20×0.025×π)

sin(20×0.025×π) = 1

∴ a = -1200×π²×1 ≈ -11843.53

At the time found in part b the acceleration of the object, a ≈ -11843.53 m/s²

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Clouds in our atmosphere cause us to see the different phases of the moon.

True

False

Answers

Answer:

False

Explanation:

:)

Answer:

The answer is false

Explanation:

The clouds have nothing to do with the changes in the phases of the moon but, rather the postioning of the sun and the moon regarding revolution and the spinning of the earth on it axis.

I hope this helps you good luck and have a good day.

A car moved 40 km north and 90 km south. What is the displacement of the car?
A. 50 km south
B. 50 km north
C. 10 km east​

Answers

Answer:

A. 50 km south

Explanation:

hope this helps!

what is centripetal motion

Answers

Answer:

abhi ham logo KO madam ne Padaya nahi hai

A movement of an object along the circumference of a circle or rotation along a circular path.

What happens to the change in the value of the speed as you increased the amount of force applied on your
chosen Item

Answers

The change of speed is proportional to the Force. If you double the Force, you double the change of speed.

If you increased the amount of force applied on your chosen Item, rate of increase of  its velocity with time will increase.

What is force?

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

So, if you increased the amount of force applied on your chosen Item, its acceleration will be increased and rate of increase of velocity with time will increase.

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A car traveling east in a straight line on a highway decreases its speed from 30. meters per second to 23. meters per second in 2.0 seconds. What is the magnitude of the car's average acceleration to the nearest tenths place, during this time interval?

Answers

Answer:

-3.5m/s²

Explanation:

Given

Initial Velocity, u = 30m/s

Final Velocity, v = 23m/s

Time, t = 2.0s

Required

Determine the magnitude of acceleration

This is calculated using first equation of motion.

v = u + at

Substitute values for v, u and t

23 = 30 + a * 2.0

23 = 30 + 2.0a

23 - 30 = 2.0a

-7 =2.0a

Solve for a

a = -7 ÷ 2.0

a = -3.5m/s²

What is the mass of 5 m3 of cement of 3000 kg/m-3​

Answers

Answer:

It is 15000 Kgs.

At what point is the KINETIC ENERGY at its highest?

Answers

Answer:

An object has the MOST kinetic energy when it's movement is the GREATEST.

Explanation:

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