The object with the larger surface area will have a lower terminal velocity.
Explanation:
* Terminal velocity is the constant speed that a freely falling object eventually reaches when the force of air resistance equals the force of gravity.
* Air resistance (drag) is the force that opposes the motion of an object through the air. It depends on several factors, including:
* Surface area: Larger surface area means more contact with the air, resulting in greater drag.
* Shape: Streamlined shapes have less drag than irregular shapes.
* Velocity: Drag increases with the square of velocity.
Since the two objects have the same mass, the force of gravity acting on them is the same. However, the object with the larger surface area experiences more air resistance. To reach a point where drag equals gravity (terminal velocity), the larger surface area object needs to move slower.
In summary:
* Larger surface area = more air resistance = lower terminal velocity
Example:
Imagine a flat sheet of paper and a crumpled ball of paper, both with the same mass. The sheet of paper will fall much slower than the crumpled ball because it has a larger surface area and therefore experiences more air resistance.
