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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 67 kg, and that the magnitude of the force on him from the snow was at the survivable limit of 1.0 x 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?

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