To determine the mass of two objects without using a scale or density, one can utilize a known mass, such as a 50g weight, as a reference for comparison. The discussion highlights the idea that mass can be related to length and time, suggesting a conceptual approach rather than relying on traditional measurements. Newton's laws of motion may provide a framework for understanding the relationship between mass and force in this context. The participants express uncertainty about how to proceed with the experiment, indicating a need for creative problem-solving. Ultimately, the challenge lies in finding a method to measure mass indirectly using available resources.