Exam Review 8.8, ER 2 In the 2009 movie Star Trek, Kirk, Sulu, and another crewm

Question

Exam Review 8.8, ER 2 In the 2009 movie Star Trek, Kirk, Sulu, and another crewman space jump from a shuttlecraft at an altitude of 56 miles above Earth to a drilling platform suspended from an alien spacecraft. At these heights, the average gravitational acceleration is 9.6 meters per second squared [m/s 2], slightly less than at the surface. Ignoring air friction and assuming Kirk's mass was 165 pounds-force [lb,] on Earth's surface, at what velocity, in units of miles per hour [mph], was Kirk traveling when he deployed his parachute at 30 miles [mi] above the Earth? For credit, you must solve this problem using the relationship between potential and kinetic energies -you may not use the equations of motion. Thinking Like an Engineer Stephan, Bowman, Park, S, Oniand An Active Leaming Approach Copyright 2018 Pearsan Prentice Hal, Inc 4n Eddion

Explanation / Answer

1 mile =1609.34 m

By conservation of energy

(1/2)mV2=mgh

V=sqrt(2gh)=sqrt(2*9.6*30*1609.34)

V=962.8 m/s

1 m/s =2.23694 mph

V=1315.4*2.23694=2153.7 mph

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