the acceleration of an object and the net for acting on it are proportional

To understand how acceleration and net force are proportional, we need to explore Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

The equation that represents this relationship is:

F = m * a

Where:
F is the net force acting on the object
m is the mass of the object
a is the acceleration of the object

From this equation, we can see that when the force acting on an object increases, the acceleration will also increase, as long as mass stays constant. Similarly, if the mass of the object increases, the acceleration will decrease for a given force.

Therefore, if we keep the mass constant and vary the force, the acceleration will change proportionally to the force. This means that if we double the net force acting on an object, the acceleration will also double. Similarly, if we triple the net force, the acceleration will triple, and so on.

In summary, the acceleration of an object is directly proportional to the net force acting on it, as long as the mass remains constant. This relationship is explained by Newton's second law of motion.