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A 0.00600-kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 15.9-kg door, embedding itself 12.0 cm from the side opposite the hinges as shown in the figure below. The 1.00-m wide door is free to swing on its frictionless hinges. a) What is the angular momentum relative the door's axis of rotation? b) At what angular speed does the door swing open immediately after the collision? c) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision (find KEf and KEi)

A 0.00600-kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 15.9-kg door, embedding itself 12.0 cm from the side opposite the hinges as shown in the figure below. The 1.00-m wide door is free to swing on its frictionless hinges. a) What is the angular momentum relative the door's axis of rotation? b) At what angular speed does the door swing open immediately after the collision? c) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision (find KEf and KEi)

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A 0.00600-kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 15.9-kg door, embedding itself 12.0 cm from the side opposite the hinges as shown in the figure below. The 1.00-m wide door is free to swing on its frictionless hinges.

a) What is the angular momentum relative the door's axis of rotation?

b) At what angular speed does the door swing open immediately after the collision?

c) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision (find KEf and KEi).

 

**Description of Diagram:** The image illustrates a basic physical setup involving a vertical wooden rod and a hinge mechanism. - **Hinge:** Positioned at the top of the vertical wooden rod. This hinge indicates a rotational point, allowing the rod to pivot around this axis. - **Vertical Wooden Rod:** Represents a solid, straight piece fixed at the top by the hinge. - **Arrow and Object:** - A horizontal red arrow points from left to right towards the rod, indicating the direction of a force or impact. - A small object, perhaps a bullet or projectile, is shown to the left of the rod, aligned with the arrow's direction. This suggests that the object is moving towards the rod, potentially to collide with it. This diagram is likely used to demonstrate principles related to rotational dynamics, such as torque, angular momentum, or the effects of an impact force on a pivoted object.
Transcribed Image Text:**Description of Diagram:** The image illustrates a basic physical setup involving a vertical wooden rod and a hinge mechanism. - **Hinge:** Positioned at the top of the vertical wooden rod. This hinge indicates a rotational point, allowing the rod to pivot around this axis. - **Vertical Wooden Rod:** Represents a solid, straight piece fixed at the top by the hinge. - **Arrow and Object:** - A horizontal red arrow points from left to right towards the rod, indicating the direction of a force or impact. - A small object, perhaps a bullet or projectile, is shown to the left of the rod, aligned with the arrow's direction. This suggests that the object is moving towards the rod, potentially to collide with it. This diagram is likely used to demonstrate principles related to rotational dynamics, such as torque, angular momentum, or the effects of an impact force on a pivoted object.
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