* Newton's Second Law: The relationship between force, mass, and acceleration is described by Newton's Second Law: F = ma
* F is the net force acting on the object.
* m is the mass of the object.
* a is the acceleration of the object.
* Gravity as the Force: In free fall, the only force acting on the object is gravity. The force of gravity is directly proportional to the object's mass (the more massive the object, the stronger the gravitational pull).
* Canceling Out: Since the force of gravity (F) is directly proportional to mass (m) and acceleration (a) is inversely proportional to mass, the effect of mass cancels out:
* F = mg (where g is the acceleration due to gravity, approximately 9.8 m/s²)
* a = F/m = mg/m = g
Conclusion: The acceleration due to gravity (g) is constant near the Earth's surface, regardless of the object's mass. This means a feather and a bowling ball will fall at the same rate in a vacuum (where air resistance is negligible).
Important Note: In reality, air resistance plays a significant role in the fall of objects. Objects with a larger surface area or less dense materials experience more air resistance, which can slow their descent. This is why a feather falls much slower than a bowling ball in air.