An object can have a constant acceleration even if the net force acting on it is changing because acceleration is directly proportional to the net force and inversely proportional to the object's mass, as stated by Newton's second law of motion.
Newton's second law states that the acceleration of an object is equal to the net force acting on it divided by its mass. Mathematically, it can be expressed as:
a = F_net / m
Where:
- a represents acceleration
- F_net represents the net force acting on the object
- m represents the mass of the object
If the net force on an object changes while its mass remains constant, the acceleration of the object will change accordingly. However, if the changing net force and the changing mass are in such a way that their ratio remains constant, then the acceleration of the object will be constant.
For example, if the net force on an object doubles, and at the same time, the mass of the object doubles, the acceleration will remain the same because the ratio of the force to the mass remains constant.
In summary, an object can have a constant acceleration if the net force on it is changing, as long as the changing force and the changing mass are in proportion, maintaining a constant ratio.