A bolt falls off of the landing gear of an airplane as it taking off from...

A bolt falls off of the landing gear of an airplane as it taking off from Tampa International Airport. At the instant, the bolt detaches from the plane, the plane's altitude is 667.0 meters and its velocity is 87.4 m/s at the angle of 60* with respect to the horizontal. What is the bolt's speed when it hits the ground?

Solutions

Expert Solution

Initial speed of the bolt is

Initial height of the bolt is

Let m be the mass of the bolt, the initial kinetic energy of the bolt is

Initial potential energy of the bolt is

Let v_f be the speed of the bolt when it reach the ground. Final height of the bolt is h_f=0. Final kinetic energy of the bolt is

Final potential energy of the bolt is

Assuming that there is negligible loss of mechanical energy of the bolt.

genius_generous answered 1 year ago

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