Here's the breakdown:
* Freely falling body: This means the only force acting on the object is gravity.
* Inertia: An object's tendency to resist changes in its motion.
Does the principle of inertia hold in a freely falling body?
Technically, no. Here's why:
* Gravity is a force: Gravity is an external force acting on the freely falling body, causing it to accelerate downwards. Therefore, the body is not in a state of constant velocity, violating the principle of inertia.
However, from the perspective of the freely falling body, the principle of inertia *appears* to hold. This is because:
* The reference frame is accelerating: Since the body is accelerating downwards, the reference frame itself is accelerating.
* Zero net force relative to the frame: Within the frame of the falling body, there are no forces acting on it other than gravity, which is balanced by the inertial force due to the acceleration of the frame.
Therefore, within the frame of the falling body, it appears as though no force is acting on it, and the principle of inertia holds true. This is why objects appear weightless in free fall.
In summary:
* The principle of inertia doesn't strictly hold in a freely falling body because gravity is acting on it.
* However, from the perspective of the falling body, the principle of inertia appears to hold due to the accelerating frame of reference.