#2 Physics and Measurement

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Tools to measure the length.

I- the aim of physics:

Experiment.
All types of sciences are based on experimental observations as well as quantitative measurements, Physics is also based on these two just like any other science. we study physics as a tool to predict the results of future experiments, these results come from fundamental laws describing natural phenomena. and these fundamental laws are used to develop theories in the form of mathematical equations and formulas; because mathematics is the connection between theory and experiment.

II- theories and reality:

when there is a mismatch between prediction of a theory and the experimental results, new theories are developed to avoid this mismatch. also many theories are applied under some conditions. for example Newton's laws are applied only at normal speed that are much relatively lower than speed of light, so when something goes fast at a speed close to speed of light the experimental results differ from the predictions of Newtonian mechanics!, so another theory is developed by Albert Einstein called relativity which describes the experimental results fairly well.

III- Standards of Length, Mass, and Time:

To describe natural phenomena and understand them, we must make measurements of factors affecting them. The laws of physics define the mathematical relationship among physical quantities. for example we measure length in meters and time in seconds to describe the speed of a moving car in terms of meter/second which is the unit of speed. In classical physics we have three fundamental quantities used to express any other quantity: Length, mass, and time.
It's very important to express physical quantities in terms of standard units so people can understand each other unless our numbers will be meaningless.
In 1960, a standard system of measurements was established, it is known as SI (Système International), the standard units of length, mass, and time are meter, kilogram, and second, respectively. There are more SI fundamental units such as kelvin for temperature, ampere for electric current, candela for luminous intensity, and mole for the amount of substance.

Length:

How length is measured
Length can be identified to be the distance between two points in space. The standard unit of length is the meter (m) and equals the distance between two lines on a platinum-iridium bar stored under specific conditions in France. The table below explains some interesting values of some measurements.
Table 1.1 P41

Mass:

Mass is measured by comparing.
The standard unit of mass is kilogram (kg), and can be defined as 'the mass of a specific platinum–iridium alloy cylinder kept at the International Bureau of Weights and Measures at Sèvres, France.' The mass of this alloy doesn't change along time. The table below shows some masses of variable objects.
Table 1.2 p41

Time:

Time is measured in seconds
The standard SI unit of time is second (s). One second equals (1/60)(1/60)(1/24) of one solar day. Recently second is redefined to take a higher precision in a device known as an atomic clock, the idea of this device is based upon measuring vibrations of cesium atoms. One second now is defined as 9 192 631 770 times the period of vibration of radiation from the cesium-133 atom!
Below table presents values of time intervals. Table1.3 p41

IV- U.S customary system:

There is another system of measurement called U.S customary system which is used in the United States, but the SI system is more universal and more accepted in science. Units of length, mass, and time are foot (ft), slug, and second. We may use this system but not often.
You can use other units to express the fundamental units such as millimeter, nanosecond, and so on, notice that these units are not different, it's just the prefixes (mille-, nano- and so on) which are added to the unit. These prefixes denote multipliers of the basic units based on different powers of ten. For example 1 millimeter = 10-3 meter.

V- Prefixes of units:

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There are many other quantities called derived quantities that can be expressed as a combination of fundamental quantities such as speed which is expressed as m/s, i.e. meter per second, and density which is expressed as kg/m3.

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