Final answer:
The statement that a balloon inflated with air has less mass than a marble is likely true, and it is accurate that a marble has more density than a balloon. However, the statement that a denser ball sinks faster in water is not necessarily true as sink speed is influenced by other factors.
Step-by-step explanation:
When examining the statements about mass and density, it is important to understand the following:
- Mass is a measure of the amount of material within an object.
- Density is the ratio of the mass of an object to its volume.
- The density of a substance is an intensive property and remains the same regardless of the quantity present.
Now let's look at the statements:
- A. A balloon inflated with air has less mass than a marble. - This is likely to be true as the marble is a solid piece of matter, whereas the balloon is mostly filled with air, which has much less mass.
- B. A marble has more density than a balloon inflated with air. - This is true because the marble is a compact mass of material, whereas the balloon contains a large volume of air, which has much lower density.
- C. If two balls are placed in a tank of water, the one with more density will sink faster. - This is not necessarily true. In a fluid, the speed at which objects sink is influenced by other factors like shape and surface area in addition to density. While a denser object will sink compared to one that is less dense, the rate at which it sinks (sink speed) is not solely determined by its density.