Here's why:
* Acceleration due to gravity (g) is a constant near the Earth's surface. It's approximately 9.8 m/s². This means that every object, regardless of its mass, will fall towards the Earth with the same acceleration.
* Force of gravity is dependent on mass. The force of gravity between two objects is proportional to the product of their masses. This means a heavier object experiences a stronger gravitational force.
* Net force and acceleration. The acceleration of an object is determined by the net force acting on it and its mass (Newton's Second Law: F = ma). While a heavier object experiences a greater force of gravity, it also has a larger mass. These two factors cancel each other out, resulting in the same acceleration for all objects.
Analogy: Imagine dropping a feather and a bowling ball from the same height. The bowling ball is much heavier and experiences a much stronger force of gravity. However, it also has a much larger mass. These two factors balance out, causing both the feather and the bowling ball to accelerate towards the Earth at the same rate (ignoring air resistance).
Important Note: This applies to objects near the Earth's surface. The acceleration due to gravity varies with altitude and the density of the Earth beneath the object. However, for practical purposes, we can consider it a constant.
