On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule hit the ground at 311 km/h and penetrated the soil to a depth of 81.0 cm. assume that just before the crash and in the soil the capsule moves vertically.

Question

Mathematics

Valentina Moran

13 November, 17:54

On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule hit the ground at 311 km/h and penetrated the soil to a depth of 81.0 cm. assume that just before the crash and in the soil the capsule moves vertically.

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Lorelai Khan · Answer 1

311km/h = 86.389 m/s

Initial KE

= 0.5 * 210 * 86.389^2 J

work done by force of ground

= F * 0.81 J

0.5 * 210 * 86.389^2 = 0.81 F

F = 967433.58 N

capsule's weight W = 210 * 9.81 = 2060.1 N

F = 469.6 times capsule weight - - - answer