zen barcode ssrs FORCE, WORK, AND POWER in Software

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FORCE, WORK, AND POWER
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The derived units follow the mathematical expressions which relate the quantities. From force equals mass times acceleration, the newton (N) is de ned as the unbalanced force that imparts an acceleration of 1 meter per second squared to a 1-kilogram mass. Thus, 1 N 1 kg m=s2 . Work results when a force acts over a distance. A joule of work is equivalent to a newton-meter: 1 J 1 N m. Work and energy have the same units. Power is the rate at which work is done or the rate at which energy is changed from one form to another. The unit of power, the watt (W), is one joule per second (J/s).
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Table 1-1 Quantity length mass time current Symbol L; l M; m T; t I; i SI Unit meter kilogram second ampere Abbreviation m kg s A
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INTRODUCTION
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[CHAP. 1
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Table 1-2 Quantity electric charge electric potential resistance conductance inductance capacitance frequency force energy, work power magnetic ux magnetic ux density Symbol Q; q V; v R G L C f F; f W; w P; p  B SI Unit coulomb volt ohm siemens henry farad hertz newton joule watt weber tesla Abbreviation C V
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S H F Hz N J W Wb T
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EXAMPLE 1.1. In simple rectilinear motion a 10-kg mass is given a constant acceleration of 2.0 m/s2 . (a) Find the acting force F. (b) If the body was at rest at t 0, x 0, nd the position, kinetic energy, and power for t 4 s. a b At t 4 s; F ma 10 kg 2:0 m=s2 20:0 kg m=s2 20:0 N x 1 at2 1 2:0 m=s2 4 s 2 16:0 m 2 2 KE Fx 20:0 N 16:0 m 3200 N m 3:2 kJ P KE=t 3:2 kJ=4 s 0:8 kJ=s 0:8 kW
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ELECTRIC CHARGE AND CURRENT
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The unit of current, the ampere (A), is de ned as the constant current in two parallel conductors of in nite length and negligible cross section, 1 meter apart in vacuum, which produces a force between the conductors of 2:0 10 7 newtons per meter length. A more useful concept, however, is that current results from charges in motion, and 1 ampere is equivalent to 1 coulomb of charge moving across a xed surface in 1 second. Thus, in time-variable functions, i A dq=dt C/s). The derived unit of charge, the coulomb (C), is equivalent to an ampere-second. The moving charges may be positive or negative. Positive ions, moving to the left in a liquid or plasma suggested in Fig. 1-1(a), produce a current i, also directed to the left. If these ions cross the plane surface S at the rate of one coulomb per second, then the resulting current is 1 ampere. Negative ions moving to the right as shown in Fig. 1-1(b) also produce a current directed to the left.
Table 1-3 Pre x pico nano micro milli centi deci kilo mega giga tera Factor 10 10 9 10 6 10 3 10 2 10 1 103 106 109 1012
Symbol p n m m c d k M G T
CHAP. 1]
INTRODUCTION
Fig. 1-1
Of more importance in electric circuit analysis is the current in metallic conductors which takes place through the motion of electrons that occupy the outermost shell of the atomic structure. In copper, for example, one electron in the outermost shell is only loosely bound to the central nucleus and moves freely from one atom to the next in the crystal structure. At normal temperatures there is constant, random motion of these electrons. A reasonably accurate picture of conduction in a copper conductor is that approximately 8:5 1028 conduction electrons per cubic meter are free to move. The electron charge is e 1:602 10 19 C, so that for a current of one ampere approximately 6:24 1018 electrons per second would have to pass a xed cross section of the conductor.
EXAMPLE 1.2. A conductor has a constant current of ve amperes. How many electrons pass a xed point on the conductor in one minute 5 A 5 C=s 60 s=min 300 C=min 300 C=min 1:87 1021 electrons=min 1:602 10 19 C=electron
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