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Mechanics by Somnath Datta

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Chapter 8

Work and Energy in One Dimensional Motion

8.1 WORK AND KINETIC ENERGY

Let us consider one-dimensional motion of a particle of mass m along the X axis. P and Q are two neighbouring points on the axis located at coordinates x and x + δx and lying on the path of the particle as it moves under the action of a (variable) force F (Fig. 8.1). We shall write Newton's 2nd law in a slightly different way.

 

Work is force X displacement

 

FIGURE 8.1 Work is force X displacement.

 

Image

 

As in the previous section, line (b) is an exact relationship between two infinitesimals, ...

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