A 0.005-kg bullet traveling horizontally with a speed of 1.00 x 103 m/s enters an 18.0-kg door,
embedding itself 10.0 cm from the side opposite the hinges. The 1.00-m-wide door is free to swing on its hinges.
(a) Before it hits the door, does the bullet have angular momentum relative to the door's axis of rotation? Explain.
(b) Is mechanical energy conserved in this collision?
(c) At what angular speed does the door swing open immediately after the collision? (The door has the same moment of inertia as a rod with the axis at on end.)
(d) Calculate the energy of the door-bullet system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision.
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A 0.005-kg bullet traveling horizontally with a speed of 1.00 x 103 m/s enters an 18.0-kg door,
embedding itself 10.0 cm from the side opposite the hinges. The 1.00-m-wide door is free to swing on its hinges.
(a) Before it hits the door, does the bullet have angular momentum relative to the door's axis of rotation? Explain.
(b) Is mechanical energy conserved in this collision?
(c) At what angular speed does the door swing open immediately after the collision? (The door has the same moment of inertia as a rod with the axis at on end.)
(d) Calculate the energy of the door-bullet system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision.
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