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 2.70 ✕ 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.)

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 2.70 ✕ 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.)