Here's why:
* Newton's Second Law: The relationship between force, mass, and acceleration is described by Newton's Second Law of Motion: Force (F) = Mass (m) x Acceleration (a).
* Acceleration and Distance: Acceleration is the rate of change of velocity. A larger acceleration means a faster increase in velocity, which in turn leads to a greater distance traveled over a given time.
* Force and Acceleration: If the same force is applied to a heavy object (large mass) and a light object (small mass), the heavier object will have less acceleration because the force is divided by a larger mass. The lighter object will experience more acceleration.
* Result: Since the lighter object accelerates more, it will reach a higher velocity and therefore travel further in the same amount of time.
Example: Imagine pushing a shopping cart (heavy) and a soccer ball (light) with the same force. The soccer ball will accelerate much faster and travel farther than the shopping cart.
Key Takeaway: A heavier object will experience less acceleration than a lighter object with the same force applied, leading to less distance traveled.