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Newton's 2nd law state that the rate of momentum is proportional to the impressed force & the change in momentum takes place in the direction of force.

Mathematically ,

F = dP/dt = m dv/dt + vdm/dt = m dv/dt = ma [for constant mass system

dm/dt = 0]

Application:

In rocket propulsion, rocket propulsion represents a system of variable mass. This situation is analysed by generalising 2nd law to give result.

Thrust generated by leaving mass = urel dM/dt , where urel = velocity (relative) of detached mass w.r.t. parent mass and dM/dt = rate of change of mass

Hence a = urel dM/dt /Mo - dM/dt . t

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