The relation between gravitational acceleration and period for a 1.0-m long pendulum is , where r is the period in seconds and & represents the T = 2ng gravitational acceleration in metres per second squared (m/s2). a) The gravitational acceleration at the surface of Earth is about 9.8 m/s2. Find the period of a pendulum 1.0 m long. b) The gravitational acceleration on the moon is approximately of the gravitational acceleration at the surface of Earth. Determine the period of a pendulum 1.0 m long on the moon. c) Captain Mirk and Mr. Spark land on one of seven planets in the Alpha Beta system. Mr. Spark sets up a pendulum 1.0 m long, and Captain Mirk measures its period to be 1.304 s. Use the table to help you determine which planet they are on. Planet Ulu Proserpine Wunderland Rutabaga Ada Sirius-Lee Ikona 3.6 6.8 13.5 19.7 23.2 31.1 54.0

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The relation between gravitational acceleration and period for a 1.0-m long
1
pendulum is
, where 7 is the period in seconds and & represents the
2 ng
%3D
gravitational acceleration in metres per second squared (m/s2).
a) The gravitational acceleration at the surface of Earth is about 9.8 m/s2. Find the
period of a pendulum 1.0 m long.
b) The gravitational acceleration on the moon is approximately of the gravitational
1
acceleration at the surface of Earth. Determine the period of a pendulum 1.0 m long
on the moon.
c) Captain Mirk and Mr. Spark land on one of seven planets in the Alpha Beta system.
Mr. Spark sets up a pendulum 1.0 m long, and Captain Mirk measures its period to be
1.304 s. Use the table to help you determine which planet they are on.
Planet
Ulu
3.6
Proserpine
Wunderland
Rutabaga
Ada
Sirius-Lee
Ikona
6.8
13.5
19.7
23.2
31.1
54.0
Transcribed Image Text:The relation between gravitational acceleration and period for a 1.0-m long 1 pendulum is , where 7 is the period in seconds and & represents the 2 ng %3D gravitational acceleration in metres per second squared (m/s2). a) The gravitational acceleration at the surface of Earth is about 9.8 m/s2. Find the period of a pendulum 1.0 m long. b) The gravitational acceleration on the moon is approximately of the gravitational 1 acceleration at the surface of Earth. Determine the period of a pendulum 1.0 m long on the moon. c) Captain Mirk and Mr. Spark land on one of seven planets in the Alpha Beta system. Mr. Spark sets up a pendulum 1.0 m long, and Captain Mirk measures its period to be 1.304 s. Use the table to help you determine which planet they are on. Planet Ulu 3.6 Proserpine Wunderland Rutabaga Ada Sirius-Lee Ikona 6.8 13.5 19.7 23.2 31.1 54.0
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