Does all object fall at the same speed given the mass
No, not all objects fall at the same speed, regardless of their mass. The speed at which an object falls is determined by the acceleration due to gravity, which is approximately 9.8 meters per second squared near the surface of the Earth. However, the mass of an object does not affect its acceleration due to gravity.
According to Sir Isaac Newton's second law of motion, the force acting on an object is equal to the mass of the object multiplied by its acceleration. In the case of objects falling near the Earth's surface, the force acting on them is the force of gravity. This means that the acceleration due to gravity is the same for all objects, regardless of their mass.
So, whether an object is heavy or light, it will experience the same acceleration due to gravity. However, the force of gravity acting on an object is directly proportional to its mass. This means that a heavier object will experience a greater force of gravity, but it will also have a greater inertia or resistance to acceleration. As a result, although the acceleration due to gravity is the same for all objects, the heavier object will require a greater force to overcome its inertia and reach the same speed as a lighter object.