5. What can the server conclude about the mass of the unbroken glass, according to the law of conservation of matter?
Answer: D
The mass of the unbroken glass is equal to the total mass of the glass pieces.
According to the law of conservation of matter, the mass of an object remains constant regardless of its state. Therefore, the mass of the unbroken glass prior to breaking is equal to the combined mass of all the pieces after it shatters.
A) It is less than the total mass of the glass pieces.
This option is incorrect because the mass of the unbroken glass cannot be less than the total mass of the broken pieces. The law of conservation of matter states that mass is neither created nor destroyed in a closed system, which means the total mass remains constant.
B) It is unrelated to the total mass of the glass pieces.
This option is incorrect as well. The mass of the unbroken glass is directly related to the total mass of the glass pieces. The law of conservation of matter asserts that the mass before the glass breaks must equal the mass after it breaks.
C) It is greater than the total mass of the glass pieces.
This option is also incorrect. The mass of the unbroken glass cannot be greater than the total mass of the broken pieces since that would violate the principle of conservation of matter, which maintains that mass remains constant.
D) It is equal to the total mass of the glass pieces.
This option is correct. The mass of the unbroken glass prior to breaking is equal to the total mass of all the broken pieces afterward, in accordance with the law of conservation of matter.
Conclusion
The correct answer is that the mass of the unbroken glass is equal to the total mass of the glass pieces after it breaks. This conclusion is firmly rooted in the law of conservation of matter, which states that mass cannot be created or destroyed, only transformed. All other options incorrectly suggest variations in mass that contradict this fundamental principle.