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23 Nov 2019

A 0.004-kg bullet traveling horizontally with a speed of 1.00 103m/s enters an 21.1-kg door, imbedding itself 9.5 cm from the sideopposite the hinges as in the figure below. The 1.00-m-wide door isfree to swing on its hinges.

(a) Before it hits the door, does the bullet have angular momentumrelative the door's axis of rotation?

yes
no


Explain your answer.
The bullet has angular momentum about an axis through the hinges ofthe door before the collison

(b) Is mechanical energy conserved in this collision? Answerwithout doing a calculation.


yes
no


(c) At what angular speed does the door swing open immediatelyafter the collision? (The door has the same moment of inertia as arod with axis at one end.)
rad/s

(d) Calculate the energy of the door-bullet system and determinewhether it is less than or equal to the kinetic energy of thebullet before the collision.
J

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