A 0.00500-kg bullet traveling horizontally with a speed of 1.00x10^3 m/s enters an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as in Figure P8.64. The 1.00-m-wide door is free to swing on its hinges. Before it hits the door, does the bullet have angular momentum relative the door’s axis of rotation? Explain. Is mechanical energy conserved in this collision? Answer without doing a calculation. 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 axis at one end.)
A 0.00500-kg bullet traveling horizontally with a speed of 1.00x10^3 m/s enters an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as in Figure P8.64. The 1.00-m-wide door is free to swing on its hinges. Before it hits the door, does the bullet have angular momentum relative the door’s axis of rotation? Explain. Is mechanical energy conserved in this collision? Answer without doing a calculation. 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 axis at one end.)
A 0.00500-kg bullet traveling horizontally with a speed of 1.00x10^3 m/s enters an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as in Figure P8.64. The 1.00-m-wide door is free to swing on its hinges. Before it hits the door, does the bullet have angular momentum relative the door’s axis of rotation? Explain. Is mechanical energy conserved in this collision? Answer without doing a calculation. 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 axis at one end.)
A 0.00500-kg bullet traveling horizontally with a speed of 1.00x10^3 m/s enters an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as in Figure P8.64. The 1.00-m-wide door is free to swing on its hinges.
Before it hits the door, does the bullet have angular momentum relative the door’s axis of rotation? Explain.
Is mechanical energy conserved in this collision? Answer without doing a calculation.
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 axis at one end.)
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.
Transcribed Image Text:Figure P8.64
An overhead view of a bullet striking a
door.
Hinge
18.0 kg
0.005 00 kg
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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