A piece of space debris with a mass of 15 lbm is falling through the atmosphere towards earth at a height of 15,000 ft with a velocity of 750 ft/s. Determine the potential and kinetic energy of the object.
Given: m = 15.0 lbm; z = 15,000 ft; V = 750 ft/s
Assume: g = 32.1 ft/s2 (Acceleration due to gravity at 15,000 ft)
What will be an ideal response?
PE = mgz/gc = (15.0 lbm)(32.1 ft/s2)(15,000 ft) /(32.174 lbm-ft/lbf-s2) = 244,500 ft-lbf = 288 Btu
KE = ½ mV2/gc = ½ (15.0 lbm)(750 ft/s)2 / (32.174 lbm-ft/lbf-s2) = 131,000 ft-lbf = 169 Btu
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