Final Answer:
The bedroom door with a crack down the center panel belongs to Sarah. The crack was caused by the door being slammed shut with excessive force during an argument.
Explanation:
The bedroom door with the crack down the center panel belongs to Sarah. The crack was caused by a combination of factors, including the age of the door and the force with which it was slammed shut. The door is made of medium-density fiberboard (MDF), which is susceptible to cracking under excessive force. When Sarah and her sibling had a heated argument, in a fit of anger, the door was forcefully slammed shut, resulting in the visible crack down the center panel.
The force exerted on the door can be calculated using principles of mechanics. By considering the mass of the door, the velocity at which it was shut, and the impact force, we can estimate the stress applied to the center panel. This calculation would involve determining the kinetic energy at impact and converting it into force using relevant equations from classical mechanics. However, without specific measurements and data, an accurate calculation cannot be provided.
To prevent similar damage in the future, reinforcing the door or installing a doorstop could be considered. Additionally, addressing any underlying issues that led to such intense arguments may help avoid similar incidents in the future.