In order to measure the free-fall acceleration on a distant planet with no orbiting satellite, a 2-meter-long pendulum made of a massless aluminum string holding a very small 2-kg gold mass is brought to the planet's surface. The planet has a temperature of -200 °C, and once the pendulum is lifted at an angle of 10° from the vertical, it swings left and right with a period of 1.78 seconds. If the original measurement for the pendulum was taken when the temperature was 20 °C, what is the free- fall acceleration on that planet? Round to the nearest hundredth (0.01). Justify your answer using your rationale and equations used.

In order to measure the free-fall acceleration on a distant planet with no orbiting satellite, a 2-meter-long pendulum made of a massless aluminum string holding a very small 2-kg gold mass is brought to the planet's surface. The planet has a temperature of -200 °C, and once the pendulum is lifted at an angle of 10° from the vertical, it swings left and right with a period of 1.78 seconds. If the original measurement for the pendulum was taken when the temperature was 20 °C, what is the free- fall acceleration on that planet? Round to the nearest hundredth (0.01). Justify your answer using your rationale and equations used.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 66AP: Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at...

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