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PROBLEMS 1. Fill in the blank below the illustration. F1 Plane 1 If F1 = F2 and m1 < m2, then a1 _______________ F2 Plane 2 Newton’s Second Law of Motion 2. A 10,000. kg airplane touched the runway at 85.0 m/s. It took 30.0 s for the airplane to stop. (a) What is the average acceleration of the plane? (b) What force is applied to this airplane? (c) What distance is needed to stop this plane in 30.0 s? 3. A Boeing 747 (m = 174,000 kg) undergoes an acceleration of a = (0.500i + 0.800j) m/s2. What is the resultant force, F, and its magnitude? 4. A 5000. kg helicopter accelerates upward at 4.00 m/s2. What is the lift force exerted on this helicopter? 5. If the jet is cruising at 241.30 mph and accelerates at an average of 0.2700 m/s2 for 1000. s, what is the jet’s final speed? 6. If a rocket that weighs 2.003105 kg is launched vertically from the Earth’s surface, what is the upward acceleration if the engine produces a thrust of 3.003106 N? 7. If a rocket in space accelerates at 5.0 m/s2, what is the mass of the rocket if the engine produces a thrust of 210,000 N? 8. A specific model rocket is designed to carry cargo in its tip. Calculate the mass of the cargo such that the rocket can be launched vertically upward with the following characteristics: mass of the rocket = 0.017 kg ay = 136.36 m/s2 engine thrust = 3.2 N 9. At takeoff, a plane produces a force of 85,000 N at an angle of elevation of 60°. The plane rises at a constant velocity in the vertical direction while continuing to accelerate in the horizontal direction. (a) What is the mass of the plane? (b) What is the horizontal acceleration? (c) How would this problem change if the angle of elevation was 45°? Pushing the Envelope: A NASA Guide to Engines 51 PHYSICS AND MATHPDF Image | NASA Guide to Engines
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