Force also known as net force is proportional to both the mass or (m) of an object and also it's acceleration (a) which is expressed by the formula of F= ma.
What this means is, that an increase in either mass or an increase in acceleration will result greater requirement of force.
The key proportionality relationships in force and proportional in Newton's second law of motion include.
Acceleration (a) which is when force is directly proportional to acceleration or (F x a).
Mass (m) which is when force is directly proportional to mass (F x m).
Rate of change of momentum, which is when force is directly proportional to the rate of change of momentum which is derived from F = dp
-
dt.
Normal Force like (FN): In friction, frictional force is directly proportional to the normal reaction force.
Product of masses: In gravitational terms, force is also proportional to the product of two masses.
And for Inverse proportionality, Distance Squared or Gravitational force is inversely proportional to the square of the distance between objects.
Newton's second law of motion (also known as the force law ) states that… acceleration is directly proportional to net force when mass is constant, and… acceleration is inversely proportional to mass when net force is constant, and consequently… net force is directly proportional to mass when acceleration is constant.
The force is proportional to the mass of the two interacting objects, and is inversely proportional to the square of the distance between them.
The factors G, M, and r are the same for all masses at the surface of the Earth.