In February 1955, a paratrooper fell 370 m from an airplane without being able to open his chute but happened to land in snow, suffering only minor injuries. Assume that his speed at impact was 49 m/s (terminal speed), that his mass (including gear) was 70 kg, and that the magnitude of the force on him from the snow was at the survivable limit of 1.5 × 105 N. What are (a) the minimum depth of snow that would have stopped him safely and (b) the magnitude of the impulse on him from the snow?