A ball is placed at the edge of a table and then at the center. The table's height remains unchanged. How does the ball's gravitational potential energy compare in both positions?
The potential energy is the same in both positions
Gravitational potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity and h is the vertical height above the chosen reference level.
In this case, the ball is placed on a table whose height does not change, so the vertical height h of the ball above the ground remains exactly the same whether it rests at the edge or at the center of the table.
Since m, g and h are all identical in both positions, the gravitational potential energy stored in the ball is also identical and does not depend on its horizontal location on the tabletop.
Hence, the correct answer is The potential energy is the same in both positions.
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