Final answer:
The ratio of an object's weight to its mass equals the acceleration due to gravity. If an object's mass is constant, its momentum is proportional to its velocity.
Step-by-step explanation:
The ratio of an object's weight to its mass is equal to the acceleration due to gravity. The weight (w) of an object can be calculated using the formula w = mg, where m is the mass and g is the acceleration due to gravity. So, when you divide the weight by the mass (w/m), you get g, the acceleration due to gravity, which on Earth averages to approximately 9.81 m/s^2.
As for momentum, if an object's mass is constant, its momentum is proportional to its velocity. This is in line with Newton's second law of motion where momentum is the product of mass and velocity, and doesn't directly relate to the object's weight.