WHAT IS GENERAL PHYSICS? At the end of the lesson, you will be able to: • • • • Introduction & Definition of Physics; Convert units from SI to English & vice versa; Recall rounding-off of numbers; Designate multiples and subdivisions of any using prefixes; • Identify significant figures; • Express numbers in scientific notation. General Physics • Physics investigates concepts of energy involved in everyday life. General Physics • General Physics is designed for students interested in science and technology related careers and majors. General Physics • It is taught at the algebra/trigonometry level and it incorporates conceptual understanding, laboratory work, and mathematical problem solving. General Physics • General Physics I covers motion, heat, and wave motion. Physics • • Its goal is to describe all phenomena in the physical world in terms of a few fundamental relationships (laws of physics) between measurable properties of matter and energy. Physicists use numbers to describe measurements. Such a number is called a physical quantity. However, a physical quantity would make sense to everyone when compared to a reference standard. All phenomena in the physical world Quantitative results Physical Laws Mathematical form Theories and Experiments • The goal of physics is to develop theories based on experiments • A physical theory, usually expressed mathematically, describes how a given system works • The theory makes predictions about how a system should work • Experiments check the theories’ predictions • Every theory is a work in progress What are Physical Quantities? Physical Quantity • Are those quantities can be measured, this are quantities that are use to describe the laws of physics. Physical Quantity Symbol for Quantity Unit Symbol of Unit Length l Meter m Mass m Kilogram kg Time t Second s Electric Current I Ampere A Temperature T Kelvin K Luminous Intensity Iu Candela cd Amount of Substance n Mole mol Units • To communicate the result of a measurement for a quantity, a unit must be defined. • Defining units allows everyone to relate to the same fundamental amount. SI System of Measurement • SI – Systéme International – Since 1960, the system of units used by scientists and engineers is the “metric system”, which is officially known as the “International System” or SI units (French term). Fundamental Quantities and Their Dimension • Mechanics uses three fundamental quantities – Length [l] – Mass [m] – Time [t] Length • Units – meter, m • The meter is currently defined in terms of the distance traveled by light in a vacuum during a given time. – 1 m is defined as the distance travelled by light in a vacuum in 1/299,792,458 second. Based on the definition that the speed of light is exactly 299,792,458 m/s. Time • Units – seconds, s • The second is currently defined in terms of the oscillation of radiation from a cesium atom. – 1 second is defined as 9,192,631,770 cycles of the microwave radiation due to the transition between the two lowest energy states of the Cesium atom. Mass • Units – kilogram, kg • The kilogram is currently defined as the mass of a specific cylinder kept at the International Bureau of Weights and Measures. – 1 kg is defined to be the mass of a cylinder of platinum-iridium alloy at the International Bureau of Weights and Measures. Other Systems of Measurements • cgs – Gaussian system – Named for the first letters of the units it uses for fundamental quantities • US Customary – Everyday units – Often uses weight, in pounds, instead of mass as a fundamental quantity Convert the following expressions: 1. 28 oz to g Convert the following expressions: 2. 3 ft to cm Convert the following expressions: 3. 10 km to mi Convert the following expressions: 4. 2 kg to oz Prefixes • Prefixes correspond to powers of 10 • Each prefix has a specific name • Each prefix has a specific abbreviation Prefixes • In certain cases, particularly in scientific usage, it becomes convenient to provide for multiples larger than 1000 and for subdivisions smaller than one-thousandth. • In the metric system of measurement, designations of multiples and subdivisions of any unit may be arrived at by combining with the name of the unit the prefixes on the table. Prefixes Example: 1. 12x106 m Answer: 1. 12 Mm Example: 2. 314x10-3 m Answer: 2. 314 mm Significant Figures • Also known as the significant digits or precision of a number written in positional notation are digits that carry meaningful contributions to its measurement resolution. Significant Figures Rules All non-zero digits DO count. 24 = 2 digits 3.56 = Leading zeros DON’T count. (zeros in front of numbers) 0.421 = 3 digits 0.0025 = Captive Zeros DO count. (zeros between non-zero numbers) 1502 = 4 digits 1.008 = Trailing Zeros DO count IF the number contains a DECIMAL. (zeros at the end of numbers) 100 = 1 digit 206.0 = 4 digits 114.20 = Expressing Numbers • Numbers with more than three digits are written in groups of three digits separated by spaces – Groups appear on both sides of the decimal point • 10 000 instead of 10,000 • 3.141 592 65 Rounding off • Rounding off is a type of estimation. Estimation is used in everyday life and also in subjects like Mathematics and Physics. Many physical quantities like the amount of money, distance covered, length measured, etc are estimated by rounding off the actual number to the nearest possible whole number. Rounding Rules for Decimal Numbers Rounding rules for decimal numbers are as follows: • Determine the rounding digit and look at its righthand side. • If the digits at the righthand side are less than 5, consider them as equal to zero. • If the digits at the righthand side are greater than or equal to 5, then add +1 to that digit and consider all other digits as zero. Rounding Rules for Decimal Numbers Scientific Notation • Is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form. It may be refer to scientific form or standard index form. • This 10 base notation commonly used by scientists, mathematicians, & engineers impart because they can simplified certain arithmetic operations. Scientific Notation Express the given numbers in Scientific Notation Convert the following numbers into scientific notation: 1. 2. 3. 4. 5. 27 000 000 0.000 101 821 0.000 007 12 81 250 000 000 = 27 x 106 = 1.01 x 10-4 = 8.21 x 102 = 7.12 x 10-6 = 81.25 x 109