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3. (c) 85.0 m/s+0 m/s = df −di 2 30.0 s 1280 m = df – 0 m The runway needs to be 1280 m. F=ma = (174,000 kg)(0.500i + 0.800j) m/s2 = (87,000i + 139,000j) N F = 87,0002 +139,0002 =164,000N If the helicopter is accelerating upward at 4 m/s2, then the helicopter is overcoming the 9.80 m/s2 due to gravity. Thus the total acceleration of the helicopter is 13.8 m/s2. The lift force is then calculated as follows: 6. 7. aave=Dv Dt =vf −vi tf −ti 0.2700 m/s2 = vf − 241.30 m/s 1000. s − 0 s vf = 511.3 m/s F = ma 3.003106 N = (2.003105 kg) a Note that the rocket needs to overcome the acceleration due to gravity, so the upward acceleration is just 15.0 m/s2 – 9.80 m/s2 = 5.2 m/s2 F=ma 210,000 N = m(5.0 m/s2) m = 42,000 kg Note that when a rocket is in space, the force due to its weight is zero. (2) = 69,000 N Solutions 4. 5. F = ma = (5000. kg) 13.80 m/s Pushing the Envelope: A NASA Guide to Engines 83 TEACHERS SECTIONPDF Image | NASA Guide to Engines
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