No, the change in momentum over time is not equal to the average force. The relationship between force and momentum is given by Newton's second law of motion, which states that the net force acting on an object is equal to the rate of change of its momentum. Mathematically, it can be expressed as:
F = Δp / Δt
where F is the net force, Δp is the change in momentum, and Δt is the change in time.
However, the average force is not necessarily equal to the instantaneous force or the net force acting on an object. The average force is calculated by dividing the total force exerted over a given time interval by that interval's duration. It represents the overall effect of the forces on an object during that interval. On the other hand, the change in momentum over time refers to the rate at which momentum is changing, which may not be constant throughout the entire time interval.
In summary, the change in momentum over time is related to the net force acting on an object, while the average force represents the average effect of the forces over a specific time interval.