Question

Two paths, path I and path II, lead to the top of a hill. Path I is shorter and steeper and path II is longer but less steep. Which of the following is correct about the gain in potential energy at top of the hill?

• A. Path I
• B. Path II
• C. Same for both the paths
• D. Data insufficient

Answer 1

The correct option is C

Same for both the paths

Initial potential energy depends on the initial height. Final potential energy depends on the final height from the same reference. The gain in PE depends on the difference in heights. As we see, both the paths lead to the same height. Hence, the gain potential energy is the same in both the paths