A space explorer lands on a certain planet and does an experiment to measure the local gravity. She launches an object straight upward and observes that it takes a total time T to return to the launch point and attains a maximum height h above the launch point. Derive an expression forthe value of g on this planet in terms of h and T and any appropriate constants.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 85CP: Show that for small changes in height h, such that hRE , Equation 13.4 reduces to the expression...
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A space explorer lands on a certain planet and does an experiment to measure the local gravity. She launches an object straight upward and observes that it takes a total time T to return to the launch point and attains a maximum height h above the launch point. Derive an expression forthe value of g on this planet in terms of h and T and any appropriate constants.
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