Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Gizmo Unit Conversion, Summaries of Physics

Physics

Gizmo Unit Conversion la la alslsa s aala a

Typology: Summaries

2016/2017
On special offer
30 Points
Discount

Limited-time offer

Uploaded on 09/27/2021

mmesoma-ejesi
mmesoma-ejesi 🇨🇦

4.7

(3)

1 document

1 / 8

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Name: Mmesoma Ejesi Date:14-09-2021
Student Exploration: Unit Conversions
Vocabulary: base unit, cancel, conversion factor, dimensional analysis, metric system, prefix,
scientific notation
Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
Sara lives in Toronto, Canada, while her cousin Michael lives in Detroit, Michigan. They like to
compare how fast they are growing up.
1. Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there
are 2.54 centimeters in an inch, who is taller? Sara is taller, as this means Michael is 152.4cm.
2. Michael tells Sara he weighs 104 pounds. Sara says she is 44 kilograms. If there are 2.2
pounds in a kilogram, who is heavier? Michael is heavier, as Sara weighs 96.8 pounds.
Gizmo Warm-up
As you could see from the questions above, there are
different ways to measure the same quantity. Every
measurement includes both a number and a unit.
There are many, many different units you can use to
measure the same attribute, such as height, weight, or
volume. The Unit Conversions Gizmo shows you how
you can convert from one unit to another in order to
compare measurements.
1. To begin, check that this question is shown: The tallest building in the world, the Burj Khalifa
in Dubai, is 0.828 kilometers high. What is the building’s height in centimeters? (If this is not
the question you see, click Next until it appears.)
A. What unit is given in the question? km
B. What unit is asked for? cm
2. Look for the Unit Conversion Tile that has the unit “meter” on top and “kilometer” on the
bottom. This tile shows a conversion factor, or a ratio that compares two equivalent values.
A. According to this tile, how many meters are in a kilometer? 1000
pf3
pf4
pf5
pf8
Discount

On special offer

Partial preview of the text

Download Gizmo Unit Conversion and more Summaries Physics in PDF only on Docsity!

Name: Mmesoma Ejesi Date:14-09-

Student Exploration: Unit Conversions

Vocabulary: base unit, cancel, conversion factor, dimensional analysis, metric system, prefix, scientific notation

Prior Knowledge Questions (Do these BEFORE using the Gizmo.)

Sara lives in Toronto, Canada, while her cousin Michael lives in Detroit, Michigan. They like to compare how fast they are growing up.

  1. Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there are 2.54 centimeters in an inch, who is taller? Sara is taller, as this means Michael is 152.4cm.
  2. Michael tells Sara he weighs 104 pounds. Sara says she is 44 kilograms. If there are 2. pounds in a kilogram, who is heavier? Michael is heavier, as Sara weighs 96.8 pounds. Gizmo Warm-up As you could see from the questions above, there are different ways to measure the same quantity. Every measurement includes both a number and a unit. There are many, many different units you can use to measure the same attribute, such as height, weight, or volume. The Unit Conversions Gizmo shows you how you can convert from one unit to another in order to compare measurements.
  3. To begin, check that this question is shown: The tallest building in the world, the Burj Khalifa in Dubai, is 0.828 kilometers high. What is the building’s height in centimeters? (If this is not the question you see, click Next until it appears.) A. What unit is given in the question? km B. What unit is asked for? cm
  4. Look for the Unit Conversion Tile that has the unit “meter” on top and “kilometer” on the bottom. This tile shows a conversion factor , or a ratio that compares two equivalent values. A. According to this tile, how many meters are in a kilometer? 1000

B. Look at the tile next to it. How many centimeters are in a meter? 100 Activity A: Dimensional analysis Get the Gizmo ready: ∙ Check that the question is still about Burj Khalifa. 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? To get the value in meters, the value in kilometers was 1000 multiplied by the value in meters. In other words, the kilometer values were cancelled out. 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? There are 828m in 0.828 km. C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact does your answer to B make sense? Yes.
  2. Identify: Now find a tile that converts meters to centimeters. Drag it down next to the first. A. What units cancel now? Kilometers and meters cancel out. B. What is the unit in the answer? Centimeters (cm). C. How many centimeters tall is the Burj Khalifa? 82,800cm. D. Click Submit. Is this answer correct? Yes.
  3. Find: Click Next. What conversion tile can you use to solve this problem? The micrometer/millimeter tile can be flipped to get the answer.
  4. Analyze: Drag this tile to the green strip. Turn on Show results. A. What units are given to the right of the equals sign? micrometers^2 /millimeter
  1. No matter what quantity you are working with, converting between metric units will involve multiplying by a power of 10. Goal: Convert from one metric unit to another.
  2. Infer: The metric system uses prefixes to tell you how much to multiply the base unit by. For example, in the metric system, the base unit for length is the meter. Examples of prefixes include kilo- , centi- , and milli-. Knowing that 1,000 meters are in 1 kilometer, what do you think the prefix kilo- means? 1,000.
  3. Analyze: Use the Unit Conversion Tiles to help you determine the meaning of the following metric prefixes. The first row has been completed for you. Prefix Meaning kilo- Multiply base unit by 1, centi Divide base unit by 100 milli Divide base unit by 1, micro Divide base unit by 1,000, nano Divide base unit by 1,000,000,
  4. Create: Knowing the meaning of metric system prefixes can help you write your own conversion factors. In the metric system, the base unit for mass is the gram. What do you think the conversion factor for gram-to-kilograms would be? 1000 grams 1 kilograms Select Mass on the Conversion dropdown menu to check your answer.
  5. On Your Own: Use the gram-to-kilograms conversion tile to answer the first question about the rock’s mass. Turn on Show result to check your calculation. Then, click Submit. Continue until you’ve answered all of the Mass questions. The Gizmo will keep track of how many problems you solve.
  6. On Your Own: Check that Metric units only is selected. Continue using the Gizmo to solve the Time and Volume problems. Note: While common time units (minutes, hours, days) are

acceptable to use in the metric system, they are not a part of the metric system.

  1. Observe: Up until now, all the problems you have solved have involved converting only one unit. However, some conversion problems require you to convert two or more units. Select Speed from the menu. What two units do you need to convert to solve this problem? Seconds to hours, meters to kilometers.
    1. Think about it: How do you think you can use conversion factors to solve this problem? First, the value can be converted from seconds to hours (multiply by 3,600) then converted from meters to kilometers (divide by 1,000).
    2. Solve: Turn on Show result. Drag the seconds-to-hour tile to the green bar. A. How many meters per hour did Marcia run? 3.50 meters/second B. Drag the kilometer-to-meters tile to the green bar. If these aren’t the units you want, click Flip tile. What unit is given now? Kilometers/second C. Click Submit. How many kilometers per hour did Marcia run? 12.6 kilometers/hour
  2. Practice: Turn off Show result. Click Next , and use what you’ve learned to solve another speed conversion problem. After you have completed all the speed problems, try solving the density problems. The Gizmo will keep track of how many problems you solve. If you are stuck, try converting the unit in the numerator first. Then, convert the unit in the denominator.
    1. Challenge: Select Random from the Conversion menu. You can solve as many problems as you like. Some problems will only require you to convert one unit. Others will require you to convert two units. Good luck! Activity C: Mixed units Get the Gizmo ready: ∙ Select Mixed units. ∙ Select Distance from the Conversion menu. Introduction: Up until now, most of the conversions you have done have involved metric units. However, many countries—including the United States—use non-metric units of measurement. It can be a bit harder to convert between metric units and U.S. units because U.S. units are not based on powers of 10. However, the basic principles of dimensional analysis still apply.

Question: How can you convert numbers into and out of scientific notation?

  1. Observe: Some of the problems in this Gizmo involve very small or very large quantities. Look at the bottom three Unit Conversion Tiles. What do you notice in the numerator? The values are in scientific notation. The numbers in the numerators are written in scientific notation. In scientific notation, a number is converted to the product of a number between 1 and 10 and a power of 10. For example, 1,000,000 is written as 1.0 • 10^6. The first part of this number is called the coefficient. The second part is called the base.
  2. Convert: To convert a number written in scientific notation to a standard number, first look at the exponent on the base. If it is positive, move the decimal point on the coefficient to the right as many times as the exponent indicates, as shown below: Look at exponent Count digits Move decimal point Standard form 8.35 × 10^7 1 2 3 4 5 6 7 8.3 500 000

Practice converting the two numbers below into standard form: 1.0 • 10^9 = 1,000,000,000 6.72 • 10^12 = 6,720,000,000, You can perform this process in reverse to convert numbers in standard form into scientific notation. The number of times you move the decimal point to the left will be equal to the exponent on your base. Standard form Place new decimal point Count digits Scientific notation 3,700, 3. 700 000 1 2 3 4 5 6 3.700 000

3.7 × 10^6

Practice this with the two numbers below: 8,200,000 = 8.210^6 50,880,000,000,000 = 5.08810^13 Extension (continued from previous page)

  1. Identify: Look at the last tile. A. How many kilometers are equal to 1 light year? 9.461*10^12 km B. Write this number in standard form: 9,461,000,000,000km C. Drag this tile below to solve the problem. Turn on Show result. What is the distance

to Proxima Centauri in kilometers? 4.013*10^13 km D. Write this distance in standard form: 40,130,000,000,

  1. Convert: Not all numbers written in scientific notation are very large numbers. Scientific notation also can be used to write very small numbers. This is done by making the exponent on the base negative, indicating the decimal point should be moved to the left. Look at exponent Count digits Move decimal point Standard form 7.9 × 10 -6^ 1 2 3 4 5 6 000 007.

Try converting these numbers into standard form: 1.0 • 10-10^ = 0.0000000001 1.6 • 10-7^ = 0. You can perform this process in reverse to convert numbers in standard form into scientific notation, as shown below. Standard form Place new decimal point Count digits Scientific notation 0.000 05 0.000 05. 0 1 2 3 4 5 0.000 05. 0

5.0 × 10 -

Practice this with the two numbers below: 0.00012 = 1.210-4^ 0.00000000458 = 4.5810-

  1. Practice: Click Next so that you see the question about helium atoms. A. What is the diameter of a helium atom in meters? 9.8*10-11m B. Write this number in standard form: 0.000000000098m 2019