Final answer:
The equation that supports the statement that changing momentum of an object is related to the amount of time that a force acts is F = Δp / Δt.
Step-by-step explanation:
The equation that supports the statement 'changing momentum of an object is related to the amount of time that a force acts' is F = Δp / Δt, where F is the force, Δp is the change in momentum, and Δt is the time interval over which the force is applied.
This equation is derived from the principle that the change in momentum of an object is directly proportional to the force applied to it and the time interval over which the force is applied. Therefore, a larger force or a longer time interval will result in a greater change in momentum. Conversely, a smaller force or a shorter time interval will result in a smaller change in momentum.
For example, if you push a car with a greater force or for a longer time, you will cause a greater change in the car's momentum, potentially making it move faster or bring it to a stop more quickly.