Physics
Physics
Problem
Two identical stones A and B, each of mass , are held at heights and respectively above the same horizontal ground. Take . a. (i) Find the difference in their gravitational potential energies. b. (ii) To make stone B have the same gravitational potential energy as stone A, how much additional height must it be raised?Intuitive explanation
This problem hinges on gravitational potential energy and how it depends on height. Even though the stones are identical, stone A sits higher, so it stores more potential energy relative to the ground. The key insight is that —potential energy scales linearly with height, so the 3 m difference in elevation directly translates to a difference in stored energy. You'll use this relationship to compare or calculate the energies of each stone.
Intuitive explanation
This problem hinges on gravitational potential energy and how it depends on height. Even though the stones are identical, stone A sits higher, so it stores more potential energy relative to the ground. The key insight is that —potential energy scales linearly with height, so the 3 m difference in elevation directly translates to a difference in stored energy. You'll use this relationship to compare or calculate the energies of each stone.