Susana ascends a mountain via a short, steep trail. Sean ascends the same mounta

Question

Susana ascends a mountain via a short, steep trail. Sean ascends the same mountain via a long, gentle trail. Which of the following statements is true? A. To compare gravitational potential energies, we must know the height of the mountain. B. To compare gravitational potential energies, we must know the lengths of the two trails. C. Susana gains the same gravitational potential energy as Sean. D. Susana gains more gravitational potential energy than Sean. E. Susana gains less gravitational potential energy than Sean.

Explanation / Answer

Option (c). The gravitational potential energy depends only on the height not the length of the path, whatever path is taken if the height remains same gravitational potential energy is the same irrespective of the nature of the path. As both ascend to the same mountain their potential energies will be same.

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