Final answer:
Using the work-energy theorem, the initial kinetic energy of the bullet is used to calculate its velocity after penetrating the door. Specific details such as the stopping force are needed but not provided, so assumptions are based on related examples.
Step-by-step explanation:
The question relates to the physics concept of the work-energy theorem to determine the velocity of a 0.22LR-caliber bullet after it penetrates through a door made of 1-inch pine boards. To solve this problem, the initial kinetic energy of the bullet is needed and can be calculated using the bullet's mass and muzzle velocity given in Example 7.10. This initial kinetic energy is then equated to the work done by the stopping force of the door on the bullet, which is the average stopping force times the distance penetrated (thickness of the door). Due to the lack of specific information about the door's stopping force in the given examples, we could use the stopping force determined for the eight 1-inch pine boards mentioned in Example 7.10 and make assumptions or adjustments based on the single board.