Compute the Moon's centripetal acceleration in its orbit around the Earth. Recall that the Moonorbits the Earth every 28.0 days and that it is about 240000 miles from the Earth. What forcecauses this acceleration? Please first report the answer using symbolic algebra and then thenumerical value. Be sure to convert to SI units.

Answered: Moon's centripetal acceleration in its…

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Physics

Moon's centripetal acceleration in its orbit around the Earth.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...

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Question

Compute the Moon's centripetal acceleration in its orbit around the Earth. Recall that the Moon
orbits the Earth every 28.0 days and that it is about 240000 miles from the Earth. What force
causes this acceleration? Please first report the answer using symbolic algebra and then the
numerical value. Be sure to convert to SI units.

Expert Solution

Step 1

Given:

The time period of moon orbiting the earth is $T = 28 days$

Distance between earth and moon is $d = 240000 miles$

Note:

$1 mile = 1609.344 m$

$1 day = 24 h$

$1 h = 60 \min .$

$1 \min . = 60 s$

Find:

Centripetal acceleration of the moon and what force causes this acceleration.

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