Final answer:
In an ideal scenario without external forces, the 0.1kg golf ball would travel a greater distance when both are pushed with a force of 20N because it would have a higher acceleration due to its lower mass, as explained by Newton's second law of motion.
Step-by-step explanation:
If both a 0.1kg golf ball and a 10kg bowling ball are pushed with a force of 20N, the distance each will travel can be affected by various factors, such as friction, air resistance, and the surface they're on. However, in a theoretical scenario without external forces (like friction) acting on them, both balls would accelerate differently due to their mass, as described by Newton's second law of motion (Force = Mass x Acceleration). Therefore, the lighter golf ball would have a greater acceleration and, if the force is applied in the same manner, would likely travel a greater distance, assuming they are on the same surface and thrown at the same angle.
Moreover, other factors such as the angle of force application could influence the distance each ball travels. The conclusion is that the golf ball would travel a greater distance if all conditions are ideal and only the force and mass are considered.