Physics A Mathematical Toolkit Study Guide
1 A Mathematical Toolkit 1 About Science Mathematics The Language of Science When the ideas of science are epressed in mathematical terms, they are unambiguous. The equations of science provide compact epressions of relationships between concepts. The methods of mathematics and eperimentation have led to enormous successes in science.
Introduction: Chapter 2 Objectives Define the SI standards of measurement. Use commen metric prefies. Estimate measurements and solutions to problems. Perform arithmetic operations using scientific notation. SI units for Physics The SI stands for 'System International. There are 3 fundamental SI units for LENGTH, MASS, and TIME. They basically breakdown like this: SI Quantity Length Mass Time SI Unit Meter Kilogram Second Of course there are many other units to consider.
Many times, however, we epress these units with prefies attached to the front. This will, of course, make the number either larger or smaller. The nice thing about the prefi is that you can write a couple of numbers down and have the unit signify something larger.
Eample: 1 Kilometer The unit itself denotes that the number is actually larger than '1' considering fundamental units. The fundamental unit would be 1000 meters. 2 Metric Measurement Most scientists use the metric system and SI units when collecting data and performing eperiments Metric System - decimal system of measurement based on certain physical standards and scaled on multiples of 10 (page 16) Metric Prefies These two measurements are different. 15 meters 15 kilometers How?
Metric Prefies These two measurements are different. 15 meters 15 kilometers How? One has a prefi Metric Prefies You will need to convert between different metric units like the following 15 meters 15 kilometers How do you do this? Metric Prefies You will need to convert between different metric units like the following 15 meters 15 kilometers How do you do this? Know your prefies and how they relate to the base unit 3 Metric Prefies A prefi will make the unit bigger or smaller than the base unit We will use the base unit meter in this eample But remember: Prefies have the same number meaning when attached to other units like seconds, liters, etc. 5 Estimates The ability to make rough estimates without actually solving a problem is a skill you will find useful all your life. Rough estimates have to start with reasonable lengths, times, weights, etc.
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Arrange these in order of largest to smallest measure of length dm dam mm m hm km cm Arrange these in order of largest to smallest measure of length dm dam mm m hm Place a 1 in front of the unit that is bigger Net write how many of the smaller unit fit in the bigger unit km cm Km hm dam m dm cm mm Scientific Notation. 6 Doing a conversion Convert 65 m to km 1.Turn this into a question?km = 65m Doing a conversion Convert 65 m to km 1.Turn this into a question?km = 65m 1 km 1000 m 2.
Draw the conversion line 3. Write the unit we are converting out of on the opposite side of the line (so it will cancel out later) 4. Write what you are converting into on the opposite side 5. Place a 1 net to the larger unit 6. New holland operators manual online. Place the correct conversion factor net to the other 7?km = 65m Doing a conversion 1 km 1000 m 7.
Cross out the units that have canceled out 8. Check to see if you are now at the desired unit 9. Grab a calculator If no.