Final answer:
Yes, a small force can exert a greater torque than a larger force if it is applied farther from the pivot point, as torque is the product of force and the distance from the pivot. This principle is widely utilized in tools and machinery for mechanical advantage.
Step-by-step explanation:
A small force can indeed exert a greater torque than a larger force if it is applied further from the pivot point. Torque is the product of the force applied and the perpendicular distance from the pivot point (lever arm), so a smaller force can produce a greater torque with a sufficient lever arm.
For example, a small force utilized on the long arm of a lever can exert a large torque enough to lift a heavy object on the other end. On the contrary, a large force applied very close to the pivot point of a see-saw would produce a relatively small torque. Therefore, the key to a large torque is not just the force, but also the distance from the pivot at which the force is applied.
In mechanics, this principle is critical when designing tools and machines, such as wrenches or gears, to maximize efficiency and mechanical advantage.