How to keep the overall mass of the SYSTEM constant, while progressively increasing the FORCE Fnet acting on the system?

To keep the overall mass of the system constant while progressively increasing the net force (Fnet) acting on the system, you would need to either increase the mass of one component of the system while decreasing the mass of another component proportionally, or add or remove objects from the system with equal mass adjustments. Here are two possible approaches:

1. Mass Transfer: This method involves transferring mass from one component to another within the system while maintaining a constant overall mass. For example, if your system consists of two objects with masses m1 and m2, you can progressively increase the net force by transferring a small mass dm1 from m1 to m2 such that dm1 = -dm2, ensuring a constant overall mass. By doing this incrementally, you can progressively increase the net force acting on the system while keeping the total mass constant.

2. Addition/Removal of Objects: Another approach is to add or remove objects from the system while adjusting the mass of the new object to maintain a constant overall mass. For instance, you can add objects with masses equal to the mass you want to remove to maintain a constant total mass. By progressively adding or removing objects with the appropriate mass adjustments, you can increase the net force acting on the system while keeping the overall mass constant.

Remember that these methods assume an isolated system where no external mass is added or removed from outside the system. The adjustments should only occur within the system to maintain a constant overall mass.