Question

The masses and volumes of two objects are as follows: Mass of A is 25g and Volume of A is 12cc's. Mass of B is 35g and volume of B is 50cc's. Which of these objects will float when placed in a beaker of water?

a. Object A
b. Object B

Answer 1

Object B will float in water because its density (0.7g/cm³) is less than that of water, while Object A will not float since its density (2.08g/cm³) is greater than water's density.

Step-by-step explanation:

To determine which of the two objects, A or B, will float in water, we need to compare the density of each object with the density of water. The density (ρ) can be calculated using the formula ρ = m/V, where m is mass and V is volume. Water has a density of 1 g/cm³ (or 1000 kg/m³).

Object A has a mass of 25g and a volume of 12cc's, giving it a density of 25g/12cc = 2.08g/cm³. Object B has a mass of 35g and a volume of 50cc's, which results in a density of 35g/50cc = 0.7g/cm³.

Since the density of Object A is greater than that of water, it will not float. However, the density of Object B is less than that of water, indicating that it will float when placed in a beaker of water. Therefore, the correct answer is (b) Object B.