Newtonian Mechanics: A Modelling Approach, 2E by Derek Raine

Newtonian Mechanics: A Modelling Approach, 2E by Derek Raine

Author:Derek Raine [Derek Raine]
Language: eng
Format: epub, mobi
Publisher: Mercury Learning and Information
Published: 2021-02-15T00:00:00+00:00


CHAPTER 6

MOMENTUM

Problem: The figure shows a small ball balanced on a much larger one falling together toward a solid floor. What happens next?

6.1CONSERVATION

The velocity of a free particle is constant, so its momentum, mv is constant. More generally, from Newton’s law in the form

we see that, if there is no external force, the rate of change of the momentum is zero and hence the momentum is constant whether or not the mass varies.

We can generalize this result to a system of particles. Suppose we have particles of mass mi positioned at coordinates xi with external forces Fi and let the internal force of particle j on particle i be fij. Then for each particle, Newton’s second law reads



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