3. Science Stuff Flashcards
Physics
The study of the nature of matter and energy and its interactions in the fields of mechanics (kinematics and dynamics), electricity and magnetism, waves (light-optics & sound-acoustics), fluids, heat, atomics structure, and nuclear structure (including radiation).
The Measures of Science
- Qualitative Measurements 2. Quantitative Measurements
Qualitative Measurements
Observations that involve no measurements or units.
Quantitative Measurements
Observations that involve measurements or numbers w/ units.
Scientific Notation aka (Exponential)
To make it easy to calculate by writing a scientific notation(1x1012m)instead of a long form like 1,000,000,000,000 m.
What are the steps to do the Scientific Exponential Notation?
- Rewrite # by moving the decimal place to make a number greater than or equal to 1 land less than 10. (e.g., 123456789 or 8.9/9.6/ etc.)
- Place a “x10–” and count how many decimal places you moved the decimal to achieve step 1.
- If the number was originally greater than 1 write the number of decimals counted in step 2 in the blank of step 2.
- If the nu,ber was originally less than 1 write the number of ecimals counted in step 2 in the blank of step 2 but put a - in front of it to indicate this.
Simplify to a scientific notation.
100
1x102
Simplify to a scientific notation.
0.005
5x10-3
Simplify to a scientific notation.
443.2
4.432x102
Simplify to a scientific notation.
299,790,000
2.9979x108
Simplify to a scientific notation.
0.000054
5.4x10-5
Significant Digits in Measurements
The valid digits in measurement aka sig figs (significant figures)
Rules for determining the number of significant figures in a measurement.
- Non zero numbers are always significant.
(e. g., 2.84 km = 3 sig figs// 1.87x = 3 sig figs) - All final zeros after a decimal point are significant.
(e. g., 7.360 s = 4 sig figs// 75.0 kg = 3 sig figs) - Leading zeros used solely as place holders are not significant.
(e. g., 0.00345 = 3 sig figs// 0.023 = 2 sig figs) - Zeros between two other significant digits are always significant.
(e. g., 2804 m = 4 sig figs// 0.003086 = 4 sig figs) - Zeros located at the end of a number & to the left of a decimal point MAY BE significant (need to look at what the accuracy is)
(e. g., 20C (accurate to the ones place) = 2 sig figs//
2000 kg (accurate to the tens place) = 3 sig figs.)
What to Remember in Arithmetic with Significant Figures
The result can never be more precise than the least precise number.
Rules of Arithmetic with Significant Figures
Rule #1: Addition and Subtraction
To add or subtract measurements, first perform the operation, then round off the answer to last decimal place of the least precise measurement.
e. g., 24.686 m + 2.341 m + 3.2 m = 30.2 (30.227)
2. 456 s - 0.03 = 2.43 (2.426)
Rule #2: Multiplication and Division
A different rule governs multiplication and division. After performing a calculation, note the measurement with the smallest number of significant figures and round your final answer to this number of significant figures.
- 22cm x 2.1cm = 6.8 (6.762)
- 5m/3.414 = 10.7 (10.6912712360867)