Here's why:
Gravity and Acceleration:
* Gravity: The force of gravity between two objects depends on their masses and the distance between them. A more massive object will exert a stronger gravitational force.
* Acceleration: Acceleration is the rate at which an object's velocity changes. The acceleration due to gravity (on Earth) is approximately 9.8 m/s², meaning objects fall towards the Earth at this rate regardless of their mass.
The Key Principle: Inertia
While a more massive object experiences a stronger gravitational force, it also has more inertia. Inertia is the tendency of an object to resist changes in its motion.
The Net Result: The increased gravitational force and increased inertia perfectly cancel each other out. This means all objects fall at the same rate in a vacuum, regardless of their mass.
Why it Seems Different in Real Life
In the real world, air resistance plays a significant role. A feather and a bowling ball will fall at different rates because the feather experiences much more air resistance. This is why Galileo's famous experiment (dropping objects from the Leaning Tower of Pisa) was likely a thought experiment, not a real one.
In Summary
In a vacuum, all objects fall at the same rate because the force of gravity and inertia balance each other out. Air resistance is the reason why objects with different masses appear to fall at different rates in everyday life.