Final answer:
The units of the slope of a force vs acceleration graph are kilograms (kg), representing mass, because the slope is force divided by acceleration and according to Newton's Second Law, F=ma.
Step-by-step explanation:
The units of the slope of a force (F) vs. acceleration (a) graph are kilograms (kg). In physics, especially in the context of Newton's Second Law, force is commonly measured in newtons (N) and acceleration in meters per second squared (m/s2). Since force equals mass times acceleration (F = ma), a graph plotting force versus acceleration would have force on the y-axis and acceleration on the x-axis. The slope of such a graph would be equal to the mass (F = ma, so slope = F/a = m). Thus, the mass is the rise (force) divided by the run (acceleration), and this gives us the units of kilograms.
The SI unit of force is the Newton, which can be expressed as kg·m/s2. Therefore, knowing that mass is expressed in kilograms and acceleration in meters per second squared, the slope's unit, which represents mass, will be in kilograms (kg).