In: Physics
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?
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 vf be the speed of the bolt when it reach the ground. Final height of the bolt is hf=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.