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 58 m/s (terminal speed), that his mass (including gear) was 80 kg, and that the force on him from the snow was at the survivable limit of 1.2*10^5 N.
(a) What is the minimum depth of snow that would have stopped him safely?
___m
(b) What is the magnitude of the impulse on him from the snow?
___kg·m/s