Question

A typical person begins to lose consciousness if subjected to accelerations greater than about 5g (49.0 m/s²) for more than a few seconds. Suppose a 3.10 ✕ 10⁴ kg manned spaceship's engine has an exhaust speed of 3.50 ✕ 10³ m/s. What maximum burn rate |ΔM/Δt| (in kg/s) could the engine reach before the ship's acceleration exceeded 5g and its human occupants began to lose consciousness? (Enter the magnitude.)

Answer 1

From here,

M * du = - V_eq * dM

Divide both sides by "t",

(3 * 10⁴ ) * 49 = (3.5 * 10³ ) * (M/t)

M/t = 420 kg/s