What is the relationship between the radius of the wheel and the force exerted by the golf ball?

The selection emphasizes the importance of the wheel's radius in determining the force exerted by the golf ball, particularly in the context of pulling a mass up an inclined plane. A larger radius allows for a greater leverage effect, meaning that the wheel can exert more torque for the same amount of input force from the golf ball. Torque, which is the product of force and radius, is critical when considering how effectively the force can be translated into motion along the incline.

When the radius is sufficient, it enhances the efficiency of the system; it allows the golf ball to generate the necessary force to overcome gravitational forces acting on the mass being lifted. If the radius were too small, the amount of force exerted would not be enough to accomplish the task of moving the mass uphill.

This relationship aligns with the principles of mechanics, where leverage plays a crucial role in the effectiveness of force application. Therefore, the correct notion that the radius must be sufficient addresses the mechanical advantage gained through the radius of the wheel, which is essential for understanding how the dynamics of the system operate.