Question

1. if two objects have the same mass, what must be true? choose the correct answer(s).

(a) they have the same volume.
(b) they are made of the same material.
(c) they contain the same amount of matter.
(d) they have the same density.

Explanation:

• Option A: Volume depends on density (since \( \text{Volume}=\frac{\text{Mass}}{\text{Density}} \)). Same mass doesn't mean same volume (different densities would give different volumes). So A is incorrect.
• Option B: Two objects can have the same mass but be made of different materials (e.g., 1 kg of iron and 1 kg of cotton). So B is incorrect.
• Option C: Mass is a measure of the amount of matter in an object. So if two objects have the same mass, they contain the same amount of matter. C is correct.
• Option D: Density is \( \text{Density}=\frac{\text{Mass}}{\text{Volume}} \). Same mass doesn't imply same density (different volumes would lead to different densities). So D is incorrect.

Answer:

C. They contain the same amount of matter.