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1 - Energy, Mass, Momentum

Published online by Cambridge University Press:  05 May 2016

Sudhir Ranjan Jain
Affiliation:
Bhabha Atomic Research Centre
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Summary

The idea of energy predates, is implicit in, and outlives Newtonian mechanics.

Leon Cooper

Energy

Energy - a concept which we commonly use is surprisingly abstract [2]. All we know from our experience is that the total energy is conserved. The law of conservation states that there is a quantity, called energy that doesn't change with all the changes occurring around us. But, what is energy? We will try to become familiar with this important concept.

Kelvin and Rankine defined the concept of energy in order to understand the physical principles underlying the heat engines [3]. Engines were simplified as devices that raised weights by a certain height, given some amount of coal to burn [4]. In 1840s, there were very significant discoveries and publications by Joule and Mayer where they proved that heat is simply a mode of motion. The definition by Kelvin and Rankine was inspired by this.With slightly different terminology, Helmholtz proved that the ability to perform work is conserved in a wide range of processes. When we strike a matchstick to light it, the energy provided by us and the chemical reaction produces heat and light. In a moment, several transformations of energy take place. We can also ask - is there a macroscopic quantity that has changed when motion ceases “without having caused another motion”? Answer could be that objects get warmer. In his remarkable essay, the French engineer Sadi Carnot (1824) asked: Is the motive power of heat invariable in quantity, or does it vary with the agent which one uses to obtain it? After a number of subsequent developments, Helmholtz (1870 ca) concluded that energy has many forms and that the total energy should be taken as a sum of all possible forms of energy. We can appreciate it as we realize [1] that 4.18 Joules (J) is associated with all the following - (i) work done in pushing with a force 4.18 N through a distance of 1 m; (ii) can produce 1 calorie of heat; (iii) can move 2.6 x 1019 electrons through a potential difference of 1 volt; (iv) can raise 100 g by 418 cm.

From the work of Carnot and others, we were led to the concept of efficiency of engines. This led to a technological revolution where one was attempting to invent the most efficient engine.

Type
Chapter
Information
Mechanics, Waves and Thermodynamics
An Example-based Approach
, pp. 1 - 9
Publisher: Cambridge University Press
Print publication year: 2016

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