Final answer:
Yes, a small force can produce a larger impulse on a given object than a large force if it acts over a longer period of time, since impulse is the product of force and time.
Step-by-step explanation:
The question whether a small force can produce a larger impulse on a given object than a large force is related to the understanding of impulse and momentum in physics. Impulse is defined as the product of the force applied to an object and the time duration over which it is applied, mathematically represented as J = Ft, where J is impulse, F is force, and t is time.
The answer to the question is, Yes, a small force can produce a larger impulse on a given object than a large force if it acts over a longer time span. Therefore, even if the force is small, when applied over a sufficient period of time, the cumulative effect can result in a greater impulse than a larger force acting during a smaller timeframe. Hence, impulse depends not only on the magnitude of the force but also the duration of its application.