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

Answer the following:
You are going to race your friend to a tree near the back of the playground. The tree is 24 meters away from where you stand. It will take you 4 seconds to reach the tree. What will your average speed be?

Answers

Answer:

1. 6 m/s.

2. 320 miles.

Explanation:

1. Determination of the average speed.

Total distance travelled (D) = 24 m

Total time (t) = 4 s

Average speed =.?

Average speed is simply defined:

Average speed = Total distance /total time

Average speed = 24/4

Average speed = 6 m/s

2. Determination of the distance travelled by the train.

Speed = 40 mph

Time = 8 h

Distance =?

Speed is simply defined as:

Speed = Distance /time

40 = Distance / 8

Cross multiply

Distance = 40 × 8

Distance = 320 miles

Therefore, the train travels a distance of 320 miles.

Kinetic and potential energy are forms of what kind of energy?

gravitational

chemical

electrical

mechanical

Answers

Answer:

mechanical energy

Explanation:

The key difference that exists between kinetic energy and potential energy lies in the fact that, potential energy is that form of mechanical energy which is stored within an object, ready to be released as and when needed to do some work, while, kinetic energy is that form of mechanical energy that has been released and is associated with the body in motion.

Forces may cause an object to change ____ if it is unable to move

Answers

Answer:

Motion

Acceleration is the change of velocity per unit time, so if there is no force, all we know is that the acceleration is zero. Therefore, the velocity is not changing. If the object was already moving, then it will just keep moving. So, the object can be moving even when there is no force applied to it.

Forces may cause an object to change its state if it is unable to move. The force make the object to move from its state of rest.

What is force?

Force is an external agent acting on an object to deform it or to change it state of rest or motion. There are various kinds of forces such as gravitational force, nuclear force, magnetic force, frictional force etc.

Force is a vector quantity thus, it is characterised by its magnitude and direction. According to Newton's first law of motion, an object will continue in its state or motion or rest until an external force acts on it.

Therefore, force changes the state of an object. Force is dependant on the mass of the object. Greater the mass, greater will be the force required to move the object from stationary to stop it from motion.

According to second law of motion, force is the product of mass and acceleration of the object. Hence, force accelerates the body and a change in force changes the acceleration of the object.

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A trebuchet at ground levels throws a boulder with an initial velocity of 25 m/s at 30 degrees.
What was the magnitude of the final velocity of the boulder before it hit the ground?
a
30 m/s
b
10 m/s
C С
25 m/s
ОООООО
d
20 m/s
e
27.5 m/s
12.5 m/s

Answers

Answer:

The correct option is;

C. 25 m/s

Explanation:

The initial velocity with which the boulder was thrown = 25 m/s

The path in which the boulder projectile moves = 30°

For projectile motion, we have;

The time it takes the boulder to hit the ground is given by the following equation;

y = y₀ + v₀·sin(θ₀)t -¹/₂·g·t²

Where;

y = The height of the boulder

y₀ = The initial height of the boulder = 0

g = The acceleration due to gravity = 9.81 m/s²

When the boulder touches the ground again, the value  of y = 0. therefore, we have;

0 = 0 + 25 × sin(30)t -¹/₂ × 9.81 × t²= 12.5·t - 4.905·t²

From which we have, t = 0 or t ≈ 2.55 s

At t = 2.55 s The vertical velocity = v₀sin(θ₀) - g·t = 25 × 0.5 - 9.81×2.55 =  -12.5 m/s

The vertical velocity, [tex]v_y[/tex] =  -12.5 m/s

The horizontal velocity, vₓ = v₀·cos(θ₀) = 25×cos(30) ≈ 21.65 m/s

The magnitude of the resultant velocity before, the boulder hits the ground is given as follows

[tex]\left | v \right |[/tex] = √((vₓ)² + ([tex]v_y[/tex])²) = √(12.5² + 21.65²) = √625 = 25

The magnitude of the resultant velocity before, the boulder hits the ground is 25 m/c

what are some solutions to global temperature changes?
help asap​

Answers

Answer:

Power your home with renewable energy.

Weatherize, weatherize, weatherize.

Invest in energy-efficient appliances.

Reduce water waste.

Actually eat the food you buy—and make less of it meat.

Explanation:

Joe went to see his Grandmother. He promised his Grandma that he would arrive at her house at 5 pm. He leaves his house at 3:00 and this will allow him 2 hours to get to her house. Joe will need to travel 70 miles to get to her house. How fast will Joe need to drive to make it to Grandma's house on time?

Answers

Answer:

35 mph

Explanation:

From the question given above, the following data were obtained:

Time (t) = 2 hours

Distance (d) = 70 miles

Speed (S) =.?

Speed is simply defined as the distance travelled per unit time. Mathematically, it is expressed as:

Speed (S) = Distance (d) / Time (t)

S = d/t

With the above formula, we can calculate how fast (i.e the speed) Joe will need to drive to make it to his Grandma's house on time. This can be obtained as follow:

Time (t) = 2 hours

Distance (d) = 70 miles

Speed (S) =.?

S = d/t

S = 70/2

S = 35 mph

Therefore, Joe will drive at 35 mph in order to get to his Grandma's house on time.

two same size anvils are dropped from different heights. Assume both anvils are made of the same material (iron) and there is no air resistance. Which anvil has the greatest acceleration during the fall? ​

Answers

Everything falls at the same rate.


If you apply a net force of 3 N on 100g -box, what is the acceleration of
the box? *
30 m/s/s
20 m/s/s
10 m/s/s
5 m/s/s

Answers

Answer:

I believe the correct answer is 30m/s/s

What creates the solar wind?

Answers

Answer:

The solar wind is created by the outward expansion of plasma (a collection of charged particles) from the Sun's corona (outermost atmosphere). This plasma is continually heated to the point that the Sun's gravity can't hold it down. It then travels along the Sun's magnetic field lines that extend radially outward.

Please fast ?????????

Answers

Answer:

Explanation:

Kinetic

True or False: The definition of flexibility is the ability of a joint or a series of joints to move through an unrestricted, pain-free range of motion.

Answers

Answer:

true

Explanation:

hope I helped a bit

Which force is the strongest force inside an atom?
O A. Strong nuclear
B. Electromagnetic
C. Gravity
D. Weak nuclear

Answers

Inside an atom, the strongest force is the Strong Nuclear Force, indicated by option A.

The strong nuclear force is one of the fundamental forces of nature and plays a crucial role in binding the subatomic particles, specifically protons and neutrons, within the atomic nucleus.

The strong nuclear force is responsible for overcoming the electrostatic repulsion between positively charged protons in the nucleus. It acts over extremely short distances, on the order of femtometers (10^-15 meters), and is characterized by its strength and short range. It is about 100 times stronger than the electromagnetic force, which is responsible for the interaction between charged particles.

The electromagnetic force, option B, is the second strongest force inside an atom. It is responsible for the interaction between charged particles, such as electrons and protons. The electromagnetic force is involved in holding the electrons in orbit around the nucleus and determines the chemical properties of atoms.

Gravity, option C, is the weakest force among the fundamental forces. While gravity plays a significant role on a macroscopic scale, such as the gravitational attraction between planets or objects on Earth, its influence at the atomic level is negligible compared to the strong nuclear and electromagnetic forces.

The weak nuclear force, option D, is another fundamental force, but it is responsible for processes such as radioactive decay and neutrino interactions. While it is involved in certain nuclear reactions, it is not as strong as the strong nuclear force.

In summary, the strong nuclear force is the strongest force inside an atom, overcoming the electrostatic repulsion between protons and binding the atomic nucleus together. Option A.

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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".

A car on flat ground accelerates at 0.785 m/s2 when a net force of 1050 N acts on it. How much normal force acts on it?

Answers

Answer:

13108.3N

Explanation:

Given parameters:

Acceleration = 0.785m/s²

Net force  = 1050N

Unknown:

Normal force acting on car  = ?

Solution:

The normal force on this car is the weight of the car;

   Normal force  = mg

where m is the mass of the car

           g is the acceleration due to gravity = 9.8m/s²

Now solve for the mass;

             Net force  = mass x acceleration

                1050  = mass x 0.785

                 mass  = [tex]\frac{1050}{0.785}[/tex]   = 1337.6kg

So,

     Normal force  = 1337.6kg x 9.8m/s² = 13108.3N

13108 works as well for acellus

(02.04 LC) Which statement best describes the rate of dissolving? (2 points) Group of answer choices All substances dissolve at the same rate. All substances dissolve at a fast rate. The rate of dissolving may be fast or slow. Rates of dissolving are usually slow.

Answers

Answer:

C. The rate of dissolving may be fast or slow.

Explanation:

When a solute is added to a solvent, the rate of dissolving may be fast or slow. This is determined by the temperature of the solvent.

A high temperature of solvent can cause an increase in the rate of dissolving a solute or substance in it, while a low temperature of solvent causes a decrease in the rate of dissolving a solute or substance in a solvent.

Therefore, the rate of dissolving may be fast or slow.

A boat moving at a constant speed travels 15 meters in 8 seconds. How far does it travel
in 40 seconds?
0 75 meters
53 meters
335 meters
0 480 meters​

Answers

Answer:

75m

Explanation:

Given parameters:

Distance covered by the boat = 15m

Time taken = 8s

Unknown:

Distance covered by the boat in 40s  = ?

Solution:

To solve this problem, we need to find the speed of the boat first;

    Speed = [tex]\frac{distance}{time}[/tex]

Insert the parameters and solve;

    Speed  =[tex]\frac{15}{8}[/tex] m/s

Now;

The boat will travel;    

    Distance  = speed x time

    Distance =   [tex]\frac{15}{8}[/tex]  x 40  = 75m

PLEASE HELP, WILL MARK BRAINLIEST
What objects exert the attractive force of gravity?
(1 Point)
Anything that has mass
Only planets, moons and stars
Only the Earth and the Sun
Only objects the size of the Earth or larger.

Answers

Answer:

Anything that has mass.

Explanation:

Answer: Anything that has mass.

Explanation:

A van moves 100 km in 2 1/2 hours.
What is its average speed in kilometers
per hour?

Answers

Answer:

0.40km/h

I think.. Hope this helps <3

dimensional formula of energy​

Answers

Answer:

[M L2 T-2]

Explanation:

hope this is what you're looking for.

[M L2 T2] SI Symbol: J

Your mother has called you on your cell phone and asked you to pick up a few items at the grocery store on your way home. As you heard your mother state each item, which process transferred this information from your sensory memory to your short-term memory so you could jot each grocery item down?

Answers

Answer:

Encoding

Explanation:

Encoding is the initial learning of information. Encoding is the process of passing new information coming from sensory input  into our brain so that it can be easily retrievable. In a nutshell, it is the sum total of the processes by which external information such as the list of items your mother asked you to pick up at the grocery store to be converted into a manner that can be stored within the brain and recalled later from long-term memory.

Encoding has to do with transferring external stimuli into short term and subsequently long-term memory.

. Exercises that specifically prepare the muscles for active movements

Answers

Answer:

Dynamic Stretching

Explanation:

Dynamic Stretching: Dynamic stretches are controlled movements that prepare your muscles, ligaments and other soft tissues for performance and safety.

Answer:

Stretching such as toe touches

PLEASE HELP! HURRY. ALMOST OUT OF TIME

Answers

Answer:

balanced hurry up fam

gurry hurry hurry

3) it’s balanced.
.......

plz answer this very soon

Answers

Answer:

Im gonna say it is answer A:) Hope this helps!

Explanation:

Imagine you are rolling a marble down a wooden ramp for an experiment. What are some variables you can experiment with to increase the velocity of the marble? *

Answers

Answer:

Explanation:

In free fall, gravity constantly accelerates an object (increases its velocity)—until it hits terminal velocity. Specifically, gravity increases a falling object's velocity by 9.8 meters per second (m/s) with every passing second. (Whereas velocity is measured in m/s, acceleration is measured in meters per second squared, or m/s2.) How does this constant acceleration affect the distance that an object travels over time? In this experiment you will roll a marble down a ramp to find out.

By adjusting the ramp's height, width, or inclination, you can increase the velocity at which the marble travels down it.

What is ramp?

As a tool for lifting or lowering a load, an inclined plane, sometimes referred to as a ramp, is a flat supporting surface that is tilted at an angle from the vertical direction with one end higher than the other.

One of the six traditional simple devices that Renaissance scientists defined is the inclined plane. Heavy weights are transported over vertical obstacles using inclined planes. Examples include a ramp used to load cargo into a truck, a pedestrian ascending a ramp, or an automobile or train ascending an incline.

Less force is needed to push an object up an inclined plane than to lift it straight up, but the distance travelled is greater.

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The weight of a box is having a mass of 100 kg is ___n

Answers

Answer: the weight of the box is 980N

Explanation:

The weight an object has is defined as  the force of gravity acting  on that object which is given as

w =m x g

Since weight is defined as a force, it can also be written as

w=mg

= F= mg

where m= mass of the object in kg given as 100Kg

an g is the gravitational acceleration in  m/s^2 =  g is 9.8 m/s2

F= mg

F = 100 kg x 9.8 m/s2

F== 980Kgm/s^2 = 980N

Therefore the weight of the box is 980N

ILL GIVE BRAINLY THING


Tom has been hired to deliver 11 m3 of sand. If the truck that Tom is driving has a truck bed that is 2.5 m X 1.6 m, X 0.75 m how many trips will Tom need to complete the order?


PLS GO TO MY PROFILE TO SEE THE OTHER QUESTIONS I POSTED I GIVE BRAINLY THING FOR THOSE AS WELL THANK YOU

Answers

Answer:

About 3 trips

Explanation: if we do 2.5m*1.6m*0.75 it equals to 11000 then we divide that to 11m3 and it gives you 3.6 so it will be about 3 times

Thx

define the word prism

Answers

Answer:

a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms

Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
Gravity is a constant force
The bowling ball wil adapt to the changes in gravity
Matter is resistant to acceleration and changes in gravity
The amount of matter in the bowling all remains the same

Answers

Answer:

D hope this helps

Explanation:

Answer:

D

Explanation:

The amount of matter in the bowling ball remains the same.

why it's dangerous to jump from a moving bus?​

Answers

Answer:

A man jumping out from a moving bus holds the inertia of motion.As the man lands on the ground,feet came to rest instantly while the upper due to inertia of motion.Therefore the person may fall under bus.

Consider a double Atwood machine constructed as follows: A mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. The other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. Using two suitable generalized coordinates, set up the Lagrangian and use the Lagrange equations to find the acceleration of the mass 4m when the system is released. Explain why the top pulley rotates even though it carries equal weights on each side.​

Answers

Can you apply the picture to the problem for us
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