If both masses increase or decrease at the same time while their velocities remain constant, the total momentum of the system will also increase or decrease accordingly.
Momentum is defined as the product of mass and velocity, given by the equation:
Momentum = mass × velocity
Let's consider the scenario where both masses increase. If the velocities of the masses remain constant, and the masses increase, the overall momentum will increase as well. This is because momentum is directly proportional to mass. Therefore, an increase in mass will result in a corresponding increase in momentum.
Conversely, if both masses decrease while their velocities remain constant, the total momentum will decrease. Since momentum is directly proportional to mass, a decrease in mass will lead to a decrease in momentum.
It's important to note that momentum is a vector quantity, meaning it has both magnitude and direction. If the masses are moving in the same direction, an increase or decrease in their masses will simply scale the total momentum accordingly. However, if the masses have opposite directions, the change in momentum will also depend on the relative magnitudes and directions of the masses.