CP Genesis Crash. 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. (a) What was its acceleration (in m/s2 and in g’s), assumed to be constant, during the crash? (b) What force did the ground exert on the capsule during the crash? Express the force in newtons and as a multiple of the capsule’s weight. (c) How long did this force last?

Solution 13E (a).Using kinematics equation to solve for how long it took to the capsule to slow down and then then using change in momentum over change in time to solve for force. Convert km/hr to m/s sign is consistent. 311 km/hr = 86.389 m/s vf2= v i 2a(x f ) i (0) = ( 86.389) + 2a( 0.81 m 0 m) a = 46027 m/s 2 Work done by the force of ground F = ma 2 F = (210 kg)(4607 m/s ) F = 967456 N ~967 kN (b).capsule’s weight w = 210 9.8* = 2060.1 N.470 N (c). ow long this force last is calculated by =work done by force of ground/capsule’s weight =967456 N /2060.1 N. =470 N times the capsule’s weight