Final answer:
The constant ratio of force to mass for all freely falling bodies is the acceleration due to gravity, approximately 9.81 m/s².
Step-by-step explanation:
The ratio of force to mass for all freely falling bodies is known as the acceleration due to gravity, which is approximately 9.81 m/s² on the surface of the Earth. This value represents the rate at which objects accelerate towards the Earth when they are in free fall, regardless of their mass. This ratio is constant for all freely falling objects near the Earth's surface, assuming that air resistance is negligible. It can be expressed using Newton's second law, F = ma, where F is force, m is mass, and a is acceleration, which, in the case of free fall, is the acceleration due to gravity.