Basic Thermodynamics ~ J. Pohl ©

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Constant Momentum: BODY

Newton's First Law of Motion applies to bodies with constant momentum. His differential equation states that momentum (in 0XYZ-space) is constant as long as (and because) the sum of forces equals zero, 0 = ΣF. Stated with equations:

(1) 1

Newton's equation applies for times during which the body is observed. Specific epochs begin at the time, t = 0+, the instant observation commences. The above mathematical statement is inspecific; by itself it has no solution. To obtain a solution an "initial condition," the momentum of the body at the beginning (at t = 0+), is needed. A body with constant momentum has a constant velocity. Two cases of constant velocity are: zero velocity and constant, non-zero velocity. The zero-velocity case was solved above. The solution for the second case proceeds as follows.

(2) 2

Constant Momentum: BODY

Newton's First Law of Motion applies to bodies with constant momentum. His differential equation states that momentum (in 0XZ-space) is constant as long as (and because) the sum of forces equals zero, 0 = ΣF. Stated with equations:

(1) 1