Here's why:
* Momentum (p) is a measure of an object's mass in motion. It's calculated as p = mv, where 'm' is mass and 'v' is velocity.
* Impulse (J) is the change in momentum. It's calculated as J = Δp = FΔt, where 'F' is force and 'Δt' is the time interval over which the force acts.
Therefore, a larger force acting for a longer time will produce a larger impulse and thus a greater change in momentum.
Example:
Imagine two cars, one large and one small, both initially at rest. If you push both cars with the same force for the same amount of time, the larger car will experience a smaller change in velocity (and therefore momentum) because it has more mass. However, if you push the larger car for a longer time, the force will have more time to act and produce a greater change in momentum.
