Variable-Mass System Momentum
A system has an initial mass M₀ and initial linear momentum p₀. Mass is added to the system at a constant rate α = dm/dt, with the added mass having a velocity v_add relative to the system. Which expression represents the system’s linear momentum at time t?
A
p = p₀ + αv_add·t
B
p = p₀(M₀ + αt)/M₀
C
p = p₀ - αv_add·t
D
p = p₀ + M₀v_add
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