Question

application

1. two objects of the same size are placed in water. object a sinks. object b floats. what does this tell you about the

density of object a compared to object b?

Explanation:

Step1: Recall density - buoyancy relationship

An object sinks in water if its density \(
ho_{obj}\) is greater than the density of water \(
ho_{water}\) (\(
ho_{obj}>
ho_{water}\)). An object floats if its density is less than or equal to the density of water (\(
ho_{obj}\leq
ho_{water}\)).

Step2: Compare densities of A and B

Since Object A sinks, \(
ho_{A}>
ho_{water}\). Since Object B floats, \(
ho_{B}\leq
ho_{water}\).

Step3: Establish density comparison between A and B

From the above two inequalities, we can conclude that \(
ho_{A}>
ho_{B}\)

Answer:

The density of Object A is greater than the density of Object B.