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10 August, 15:08

An aerobatic airplane pilot experiences

weightlessness as she passes over the top of

a loop-the-loop maneuver.

The acceleration of gravity is 9.8 m/s^2

If her speed is 440 m/s at this time, find the

radius of the loop.

Answer in units of km.

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Answers (1)
  1. 10 August, 16:36
    0
    20 km

    Explanation:

    Draw a free body diagram. Weightlessness means there's no normal force.

    Sum of forces in the centripetal direction (-y):

    ∑F = ma

    mg = m v² / r

    g = v² / r

    r = v² / g

    r = (440 m/s) ² / (9.8 m/s²)

    r = 20,000 m

    r = 20 km
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