If a plane travelling with a certain speed, with no net force acting vertically, will the plane reach the ground with the same speed in a circular motion?
Can you reformulate this question? What is : "to reach the ground with the same speed in a circular motion"? I interpret like this: a plane travelling in the air on height h with speed v describes a circular motion around the earth. What is the angular velocity if it flies on height zero. The formula for angular velocity is \[\omega= \left( v \over r \right)\] with r the radius of the circle that the body describes, and v the tangent speed. According to the formula the omega becomes bigger if v (the speed of the plane) is constant, and the radius becomes smaller (the plane reaches the ground and thus is closer to the center of the circle it describes). So the answer is : No
|dw:1322543690121:dw| Since F'<F, then the plane will eventually reach the ground right.(Asumme that F is just enough to lift the plane at the same altitude)
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