If a small marble and large marble are hit with the same force which will go farther? Why?

To determine which marble will go farther when hit with the same force, we need to consider two important factors: mass and air resistance.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In other words, an object with a smaller mass will experience a greater acceleration when the same force is applied compared to an object with a larger mass.

Let's assume that both marbles have the same shape and material, so they experience the same amount of air resistance. Air resistance is a force that opposes the motion of objects through the air and becomes more significant as the speed of the object increases.

Since the smaller marble has less mass, it will experience a greater acceleration when the same force is applied. This means it will be able to reach a higher velocity in a shorter amount of time. The larger marble, with its greater mass, will experience less acceleration and will take longer to reach a certain velocity.

However, as the velocity increases, the air resistance will also increase. At some point, the air resistance acting on the smaller marble will become significant, slowing it down. On the other hand, the larger marble, with its higher mass, will be less affected by air resistance and will continue moving with relatively less deceleration.

Considering these factors, at lower speeds or distances, the smaller marble may go farther due to its higher acceleration. But at higher speeds or longer distances, the larger marble may go farther due to its ability to maintain its velocity despite the increasing air resistance.

Therefore, the answer to which marble will go farther depends on various factors like the applied force, mass, shape, material, air resistance, and the distance or speed being considered.