a planet has a moon which is 2.5x10^9 m away from the planet, the moon makes a circular orbit around the planet with a period of 18 days, what is the centripetal acceleration in m/s^2 of the moon?
a planet has a moon which is 2.5x10^9 m away from the planet, the moon makes a circular orbit around the planet with a period of 18 days, what is the centripetal acceleration in m/s^2 of the moon?
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.2: Circular Motion
Problem 13PP
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Question
a planet has a moon which is 2.5x10^9 m away from the planet, the moon makes a circular orbit around the planet with a period of 18 days, what is the centripetal acceleration in m/s^2 of the moon?
Expert Solution
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Step 1
Given Data:
The distance between the moon and the planet is,
The time period of revolution in a circular orbit is,
The expression for the centripetal acceleration is given as,
Here, v is the orbital velocity and r is the distance.
The orbital velocity is given as,
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