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Grade upto college level Mechanics

Figure shows the path followed by a NASA airplane in a run designed to simulate low-gravity conditions for a short period of time. Make an argument to show that, if the plane follows a particular parabolic path, the passengers will experience weightlessness.
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

Profile image of Shane Macguire
11 Years agoGrade upto college level
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1 Answer

Profile image of Deepak Patra
11 Years ago
When the airplane is in the low gravity region, it follows a parabolic path around a point of curvature. The gravity acts on the airplane and the pilot to provide the centripetal, however due to the property of inertia, the pilot will have tendency to be in the same state of motion. The body of pilot experiences two kinds of forces; one is gravitation, pulling him down and the other, a pseudo force, pushing him up.
When the magnitude of the forces balances each other, the pilot experiences no net force, and start feeling weightlessness.