Physics

The false statement is: The work done against gravity along different paths between two positions is never the same.

The work done against gravity depends only on the vertical displacement (the change in height) between the starting and ending positions, not on the path taken. Since gravity is a conservative force, the work done against gravity is the same regardless of the path as long as the starting and ending heights are the same.

Option A: The work done by gravity on an object depends only on the starting and ending positions, not on the path taken by the object.

Correct: The work done by gravity depends only on the initial and final positions of the object (i.e., the change in height), not the specific path taken. This is because gravitational force is conservative, and its work is related only to the displacement in the vertical direction.